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<front>
<journal-meta>
<journal-id journal-id-type="pmc">JRM</journal-id>
<journal-id journal-id-type="nlm-ta">JRM</journal-id>
<journal-id journal-id-type="publisher-id">JRM</journal-id>
<journal-title-group>
<journal-title>Journal of Renewable Materials</journal-title>
</journal-title-group>
<issn pub-type="epub">2164-6341</issn>
<issn pub-type="ppub">2164-6325</issn>
<publisher>
<publisher-name>Tech Science Press</publisher-name>
<publisher-loc>USA</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">29602</article-id>
<article-id pub-id-type="doi">10.32604/jrm.2024.029602</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Review</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>A Review of Basic Mechanical Properties of Bamboo Scrimber Based on Small-Scale Specimens</article-title><alt-title alt-title-type="left-running-head">A Review of Basic Mechanical Properties of Bamboo Scrimber Based on Small-Scale Specimens</alt-title><alt-title alt-title-type="right-running-head">A Review of Basic Mechanical Properties of Bamboo Scrimber Based on Small-Scale Specimens</alt-title>
</title-group>
<contrib-group>
<contrib id="author-1" contrib-type="author">
<name name-style="western"><surname>Xue</surname><given-names>Xin</given-names></name>
<xref ref-type="aff" rid="aff-1">1</xref>
<xref ref-type="aff" rid="aff-2">2</xref>
<xref ref-type="aff" rid="aff-3">3</xref>
</contrib>
<contrib id="author-2" contrib-type="author" corresp="yes">
<name name-style="western"><surname>Li</surname><given-names>Haitao</given-names></name>
<xref ref-type="aff" rid="aff-1">1</xref>
<xref ref-type="aff" rid="aff-2">2</xref>
<xref ref-type="aff" rid="aff-3">3</xref><email>lhaitao1982@126.com</email>
</contrib>
<contrib id="author-3" contrib-type="author">
<name name-style="western"><surname>Lorenzo</surname><given-names>Rodolfo</given-names></name>
<xref ref-type="aff" rid="aff-4">4</xref>
</contrib>
<aff id="aff-1"><label>1</label><institution>College of Civil Engineering, Nanjing Forestry University</institution>, <addr-line>Nanjing, 210037</addr-line>, <country>China</country></aff>
<aff id="aff-2"><label>2</label><institution>National-Provincial Joint Engineering Research Center of Biomaterials for MACHINERY PACKAGE, Nanjing Forestry University</institution>, <addr-line>Nanjing, 210037</addr-line>, <country>China</country></aff>
<aff id="aff-3"><label>3</label><institution>Jiangsu Engineering Research Center of Bamboo and Wood Carbon Fixation Materials and Structures, Nanjing Forestry University</institution>, <addr-line>Nanjing, 210037</addr-line>, <country>China</country></aff>
<aff id="aff-4"><label>4</label><institution>Department of Civil, Environmental and Geomatic Engineering, University College London</institution>, <addr-line>London, WC1E 6BT</addr-line>, <country>UK</country></aff>
</contrib-group><author-notes><corresp id="cor1"><label>&#x002A;</label>Corresponding Author: Haitao Li. Email: <email>lhaitao1982@126.com</email></corresp></author-notes>
<pub-date date-type="collection" publication-format="electronic">
<year>2024</year></pub-date>
<pub-date date-type="pub" publication-format="electronic"><day>12</day><month>6</month><year>2024</year></pub-date>
<volume>12</volume>
<issue>4</issue>
<fpage>869</fpage>
<lpage>894</lpage>
<history>
<date date-type="received"><day>28</day><month>2</month><year>2023</year></date>
<date date-type="accepted"><day>02</day><month>1</month><year>2024</year></date>
</history>
<permissions>
<copyright-statement>&#x00A9; 2024 Xue, Li and Lorenzo</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Xue, Li and Lorenzo</copyright-holder>
<license xlink:href="https://creativecommons.org/licenses/by/4.0/">
<license-p>This work is licensed under a <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
</license>
</permissions>
<self-uri content-type="pdf" xlink:href="TSP_JRM_29602.pdf"></self-uri>
<abstract>
<p>This review summarizes the existing knowledge about the mechanical properties of bamboo scrimber (BS) in literature. According to literature reviews, the strength of BS under different load modes is affected by a series of factors, such as the type of original bamboo, growth position, resin content, treatment method and density. Therefore, different production processes can be adopted according to different requirements, and bamboo scrimbers can also be classified accordingly. In addition, this review summarizes the changes in different factors considered by scholars in the research on the mechanical properties of BS, so that readers can have an overall understanding of the existing research and make more innovative and valuable research on this basis. This review provides and discusses the conclusive observations, the current research gaps and future research directions on the mechanical properties of BS.</p>
</abstract>
<kwd-group kwd-group-type="author">
<kwd>Bamboo scrimber</kwd>
<kwd>manufacturing process</kwd>
<kwd>mechanical properties</kwd>
<kwd>failure modes</kwd>
<kwd>constitutive model</kwd>
</kwd-group>
<funding-group>
<award-group id="awg1">
<funding-source>National Natural Science Foundation of China</funding-source>
<award-id>51878354</award-id>
<award-id>51308301</award-id>
</award-group>
<award-group id="awg2">
<funding-source>Natural Science Foundation of Jiangsu Province</funding-source>
<award-id>BK20181402</award-id>
<award-id>BK20130978</award-id>
</award-group>
<award-group id="awg3">
<funding-source>Ministry of Housing and Urban-Rural Science Project of Jiangsu Province under Grant</funding-source>
<award-id>2021ZD10</award-id>
</award-group>
</funding-group>
</article-meta>
</front>
<body>
<sec id="s1">
<label>1</label>
<title>Introduction</title>
<p>With the proposal of the concept of green development and sustainable development, the application of natural green materials is paid more and more attention in the engineering field. Wood structure has been applied in the field of modern architecture earlier, and now the research on wood structure is more in-depth. It is no longer just limited to the study of wood properties, but has a deeper exploration of the overall performance of wood structures [<xref ref-type="bibr" rid="ref-1">1</xref>,<xref ref-type="bibr" rid="ref-2">2</xref>].</p>
<p>Bamboo is also an important ecological and cultural resource. China is known as the &#x201C;Kingdom of Bamboo&#x201D;, and the output of bamboo ranks first in the world. However, although the original bamboo has good toughness and texture, it also has some disadvantages, such as large differences in mechanical properties. Therefore, in order to make better use of the advantages of bamboo, in today&#x2019;s industrialized world, raw bamboo is usually processed and produced as various bamboo composites. Nowadays, as more and more attention is paid to the application of bamboo, there is more research on bamboo and bamboo composites, and the theories are more in-depth, micro- and macro-properties and chemical characterization have been extensively studied, micro- and macro-properties [<xref ref-type="bibr" rid="ref-3">3</xref>&#x2013;<xref ref-type="bibr" rid="ref-6">6</xref>] and chemical characterization [<xref ref-type="bibr" rid="ref-7">7</xref>&#x2013;<xref ref-type="bibr" rid="ref-9">9</xref>] have been extensively studied; Bamboo and bamboo composite materials have been applied in the construction field [<xref ref-type="bibr" rid="ref-10">10</xref>].</p>
<p>Bamboo scrimber (abbreviated as BS) is a wood-like material made of bamboo. It is inspired by reconstituted wood, with excellent integrity, high strength, high density, high stiffness and good stability [<xref ref-type="bibr" rid="ref-11">11</xref>,<xref ref-type="bibr" rid="ref-12">12</xref>]. It was initiated in the 1970s and has been well-developed and applied now [<xref ref-type="bibr" rid="ref-13">13</xref>&#x2013;<xref ref-type="bibr" rid="ref-15">15</xref>]. The production process of BS (as shown in <xref ref-type="fig" rid="fig-1">Fig. 1</xref>) is roughly divided into: raw bamboo, truncation, radial splitting, removing the bamboo outer layer and bamboo inner layer, defibering, drying, dipping, putting into the mold, hot-or cold-pressing [<xref ref-type="bibr" rid="ref-16">16</xref>]. In addition, at different stages of production, there are different factors affecting the properties of the final produced BS, such as the type of raw bamboo [<xref ref-type="bibr" rid="ref-17">17</xref>&#x2013;<xref ref-type="bibr" rid="ref-21">21</xref>], the treatment method of bamboo strips [<xref ref-type="bibr" rid="ref-22">22</xref>&#x2013;<xref ref-type="bibr" rid="ref-26">26</xref>], the drying temperature and time [<xref ref-type="bibr" rid="ref-27">27</xref>], the concentration of adhesive [<xref ref-type="bibr" rid="ref-28">28</xref>&#x2013;<xref ref-type="bibr" rid="ref-30">30</xref>] and the pressing process [<xref ref-type="bibr" rid="ref-31">31</xref>&#x2013;<xref ref-type="bibr" rid="ref-35">35</xref>].</p>
<fig id="fig-1">
<label>Figure 1</label>
<caption>
<title>Manufacturing process</title></caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JRM_29602-fig-1.tif"/>
</fig>
<p>In the early manufacturing of BS, the raw materials are mainly waste bamboo silk or bamboo strips that remove the bamboo outer layer and bamboo inner layer, which makes the utilization rate of bamboo not high. In view of this situation, the Wood Industry Research Institute of Chinese Academy of Forestry has developed a bamboo treatment technology without removing the bamboo outer layer and bamboo inner layer, which makes the primary utilization rate of bamboo up to more than 90%, which is a major breakthrough in the field of bamboo processing and application [<xref ref-type="bibr" rid="ref-36">36</xref>]. As a result, BS has been well used in the field of building materials due to its efficient utilization of bamboo and excellent mechanical properties.</p>
<p>Researches have shown that BS has better mechanical properties than wood, engineering wood and engineering bamboo [<xref ref-type="bibr" rid="ref-37">37</xref>&#x2013;<xref ref-type="bibr" rid="ref-39">39</xref>]. However, the size of BS is limited by the manufacturing process, which restricts the application of BS in the field of construction engineering to a certain extent. As BS is a kind of material made from raw bamboo through a series of processing and belongs to combustible material, the research on fire resistance is also an important aspect [<xref ref-type="bibr" rid="ref-40">40</xref>,<xref ref-type="bibr" rid="ref-41">41</xref>]. At the same time, high nutrition and moisture in bamboo will lead to moth decay, so the research on the anti-corrosion performance of raw bamboo and BS should not be ignored [<xref ref-type="bibr" rid="ref-42">42</xref>&#x2013;<xref ref-type="bibr" rid="ref-45">45</xref>]. This review focuses on the existing research on the mechanical properties of BS, and puts forward the problems that need further research or different assumptions on the research methods, in order to provide new ideas for the design and application of BS.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Investigation of Literature</title>
<p>The number of studies on bamboo scrimber was counted through ScienceDirect database and CNKI database. The research named &#x201C;Chong Zuzhu&#x201D; is mainly screened from CNKI database, while the research named &#x201C;bambooo scriber&#x201D; and &#x201C;parallel bambooo strand lumber&#x201D; are screened from science direct database, respectively. The literature types searched are mainly academic journals, dissertations and conference papers. The statistical results are shown in <xref ref-type="fig" rid="fig-2">Fig. 2</xref>.</p>
<fig id="fig-2">
<label>Figure 2</label>
<caption>
<title>Statistical results</title></caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JRM_29602-fig-2.tif"/>
</fig>
<p>This review mainly summarizes the mechanical properties of BS, and discusses the compressive, tensile, shear and bending properties of BS. The selected literature on the mechanical properties of BS is summarized in <xref ref-type="table" rid="table-1">Tables 1</xref>&#x2013;<xref ref-type="table" rid="table-4">4</xref>.</p>
<table-wrap id="table-1"><label>Table 1</label>
<caption>
<title>Literature on compressive properties</title></caption>
<table><colgroup>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th colspan="8">Compression</th>
</tr>
<tr>
<th>Study</th>
<th>Species</th>
<th>Origin</th>
<th>Glue</th>
<th>Size (mm)</th>
<th>Method</th>
<th>standard</th>
<th>Strength (MPa)</th>
</tr>
</thead>
<tbody>
<tr>
<td>Li et al. [<xref ref-type="bibr" rid="ref-20">20</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
<td>Hot pressed</td>
<td>GB/T 1934&#x007E;1935&#x2013;2009</td>
<td>&#x2161;: 73.46&#x22A5;: 12.75&#x2013;21.95</td>
</tr>
<tr>
<td>Gong et al. [<xref ref-type="bibr" rid="ref-21">21</xref>]</td>
<td><italic>Neosinocalamus affinis</italic></td>
<td>China</td>
<td>PF</td>
<td>30 &#x00D7; 20 &#x00D7; 20</td>
<td>Hot pressed</td>
<td>GB/T 1935&#x2013;2009</td>
<td>&#x2161;: 104.82</td>
</tr>
<tr>
<td>Zhang et al. [<xref ref-type="bibr" rid="ref-46">46</xref>]</td>
<td><italic>Bambusa emeiensis</italic></td>
<td>China</td>
<td>&#x2013;</td>
<td>30 &#x00D7; 20 &#x00D7; 20</td>
<td>&#x2013;</td>
<td>GB/T 1935&#x2013;2009<break/>GB/T 1939&#x2013;2009</td>
<td>&#x2161;: 129.17&#x22A5;: 40.19&#x2013;45.5</td>
</tr>
<tr>
<td>Li [<xref ref-type="bibr" rid="ref-47">47</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>&#x2013;</td>
<td>200 &#x00D7; 50 &#x00D7; 50</td>
<td>Hot pressed</td>
<td>ASTM D143&#x2013;09</td>
<td>&#x2161;: 65.5</td>
</tr>
<tr>
<td>Li et al. [<xref ref-type="bibr" rid="ref-48">48</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>150 &#x00D7; 50 &#x00D7; 50</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
<td>&#x2161;: 100.9 &#x22A5;: 52.8</td>
</tr>
<tr>
<td>Wei et al. [<xref ref-type="bibr" rid="ref-49">49</xref>]</td>
<td>&#x2013;</td>
<td>China</td>
<td>PF</td>
<td>150 &#x00D7; 50 &#x00D7; 50</td>
<td>Cold pressed</td>
<td>GB/T 1927&#x2013;1991</td>
<td>&#x2161;: 85.1</td>
</tr>
<tr>
<td>Sharma et al. [<xref ref-type="bibr" rid="ref-50">50</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>60 &#x00D7; 20 &#x00D7; 20 50 &#x00D7; 50 &#x00D7; 50</td>
<td>&#x2013;</td>
<td>ASTM D143&#x2013;09</td>
<td>&#x2161;: 86 &#x22A5;: 37</td>
</tr>
<tr>
<td>Li et al. [<xref ref-type="bibr" rid="ref-51">51</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>&#x2013;</td>
<td>100 &#x00D7; 100 &#x00D7; 100</td>
<td>&#x2013;</td>
<td>GB/T 50329&#x2013;2012</td>
<td>&#x2161;: 61.8&#x2013;71.1 &#x22A5;: 18.8&#x2013;27.2</td>
</tr>
<tr>
<td>Chen et al. [<xref ref-type="bibr" rid="ref-52">52</xref>]</td>
<td>&#x2013;</td>
<td>China</td>
<td>&#x2013;</td>
<td>120 &#x00D7; 25 &#x00D7; 25</td>
<td>Cold pressed</td>
<td>ASTM D143&#x2013;09</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Wei et al. [<xref ref-type="bibr" rid="ref-53">53</xref>]</td>
<td>&#x2013;</td>
<td>China</td>
<td>&#x2013;</td>
<td>120 &#x00D7; 25 &#x00D7; 25</td>
<td>Hot pressed</td>
<td>ASTM D143&#x2013;94 (2000)</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Li et al. [<xref ref-type="bibr" rid="ref-54">54</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>&#x2013;</td>
<td>200 &#x00D7; 28 &#x00D7; 28</td>
<td>&#x2013;</td>
<td>ASTM D143&#x2013;94 (2000)<break/>GB 1927&#x007E;1943&#x2013;91</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Kumar et al. [<xref ref-type="bibr" rid="ref-55">55</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>30 &#x00D7; 20 &#x00D7; 20</td>
<td>Cold pressed</td>
<td>&#x010C;SN490110&#x007E;&#x010C;SN490112</td>
<td>&#x2161;: 104.71&#x2013;115.7<break/>&#x22A5;: 49.33&#x2013;77</td>
</tr>
<tr>
<td>Wang et al. [<xref ref-type="bibr" rid="ref-56">56</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>30 &#x00D7; 20 &#x00D7; 20</td>
<td>Hot pressed</td>
<td>GB/T 1935&#x2013;2009<break/>GB/T 15777&#x2013;2017</td>
<td>&#x2161;: 94.67<break/>&#x22A5;: 45.85&#x2013;48.8</td>
</tr>
<tr>
<td>Li et al. [<xref ref-type="bibr" rid="ref-57">57</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>30 &#x00D7; 20 &#x00D7; 20</td>
<td>Hot pressed</td>
<td>GB/T 40247&#x2013;2021</td>
<td>&#x2161;: 127.33<break/>&#x22A5;: 72.96</td>
</tr>
<tr>
<td>Sylvayanti et al. [<xref ref-type="bibr" rid="ref-58">58</xref>]</td>
<td><italic>Gigantochloa</italic></td>
<td>Indonesia</td>
<td>PF</td>
<td>200 &#x00D7; 30 &#x00D7; 30<break/>150 &#x00D7; 30 &#x00D7; 30</td>
<td>Cold pressed</td>
<td>ASTM D143&#x2013;14</td>
<td>&#x2161;: 64.85<break/>&#x22A5;: 19.6</td>
</tr>
<tr>
<td>Wu et al. [<xref ref-type="bibr" rid="ref-59">59</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>30 &#x00D7; 20 &#x00D7; 20</td>
<td>Hot pressed</td>
<td>ASTM D143&#x2013;14</td>
<td>&#x2161;: 129.25<break/>&#x22A5;: 65.77&#x2013;73.34</td>
</tr>
<tr>
<td>Chen et al. [<xref ref-type="bibr" rid="ref-60">60</xref>]</td>
<td>&#x2013;</td>
<td>China</td>
<td>&#x2013;</td>
<td>150 to 1200 &#x00D7; 50 &#x00D7; 50<break/>150 to 1200 &#x00D7; 100 &#x00D7; 100<break/>150 to 900 &#x00D7; 75 &#x00D7; 50<break/>150 to 1200 &#x00D7; 100 &#x00D7; 50</td>
<td>Cold pressed</td>
<td>GB/T 1935&#x2013;2009<break/>GB/T 50329&#x2013;2012</td>
<td>&#x2161;: 84.4</td>
</tr>
<tr>
<td>Rao et al. [<xref ref-type="bibr" rid="ref-61">61</xref>]</td>
<td><italic>Bambusa chungii</italic></td>
<td>China</td>
<td>PF</td>
<td>60 &#x00D7; 13 &#x00D7; 13</td>
<td>Hot pressed</td>
<td>GB/T 17657&#x2013;2013</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Sewar et al. [<xref ref-type="bibr" rid="ref-62">62</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>100 &#x00D7; 25 &#x00D7; 25</td>
<td>Hot pressed</td>
<td>BS 373&#x2013;2018</td>
<td>&#x2161;: 121<break/>&#x22A5;: 60.5</td>
</tr>
<tr>
<td>Hu et al. [<xref ref-type="bibr" rid="ref-63">63</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>60 &#x00D7; 20 &#x00D7; 20</td>
<td>Hot pressed</td>
<td>GB/T 30364</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Zheng et al. [<xref ref-type="bibr" rid="ref-64">64</xref>]</td>
<td><italic>Neosinocalamus affinis</italic></td>
<td>China</td>
<td>PF</td>
<td>30 &#x00D7; 20 &#x00D7; 20</td>
<td>Hot pressed</td>
<td>GB/T 1935&#x2013;2009<break/>ASTM D143&#x2013;14</td>
<td>&#x2161;: 132.4</td>
</tr>
<tr>
<td>Wu et al. [<xref ref-type="bibr" rid="ref-65">65</xref>]</td>
<td>&#x2013;</td>
<td>China</td>
<td>Epoxy</td>
<td>Height: 205 to 400, Diameter: 68 to 133</td>
<td>Hot pressed</td>
<td>ASTM D143&#x2013;09</td>
<td>&#x2161;: 112.01</td>
</tr>
<tr>
<td>Yu et al. [<xref ref-type="bibr" rid="ref-66">66</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>30 &#x00D7; 20 &#x00D7; 20</td>
<td>Hot pressed</td>
<td>GB/T 1935&#x2013;2009</td>
<td>&#x2161;: 87.5&#x2013;100.7</td>
</tr>
<tr>
<td>Chen et al. [<xref ref-type="bibr" rid="ref-67">67</xref>]</td>
<td>&#x2013;</td>
<td>China</td>
<td>&#x2013;</td>
<td>210 &#x00D7; 70 &#x00D7; 70</td>
<td>&#x2013;</td>
<td>GB/T 50329&#x2013;2012</td>
<td>&#x2161;: 65.5</td>
</tr>
<tr>
<td>Rao et al. [<xref ref-type="bibr" rid="ref-68">68</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>60 &#x00D7; 13 &#x00D7; 13</td>
<td>Hot pressed</td>
<td>GB/T 30364&#x2013;2013<break/>GB/T 17657&#x2013;2013<break/>GB/T 20241&#x2013;2006</td>
<td>&#x2161;: 106.68</td>
</tr>
<tr>
<td>Li et al. [<xref ref-type="bibr" rid="ref-69">69</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>100 to 200 &#x00D7; 50 &#x00D7; 50</td>
<td>Hot pressed</td>
<td>GB/T 50329&#x2013;2012</td>
<td>&#x2161;: 96.3&#x2013;102.1<break/>&#x22A5;: 49.1&#x2013;54.4</td>
</tr>
<tr>
<td>Wei et al. [<xref ref-type="bibr" rid="ref-70">70</xref>]</td>
<td></td>
<td>China</td>
<td>PF</td>
<td>420 &#x00D7; 140 &#x00D7; 140</td>
<td>Cold pressed</td>
<td>ASTM D143&#x2013;09</td>
<td>&#x2161;: 85.1, 78.7</td>
</tr>
<tr>
<td>Shangguan et al. [<xref ref-type="bibr" rid="ref-71">71</xref>]</td>
<td><italic>Neosinocalamus affinis</italic></td>
<td>China</td>
<td>PF</td>
<td>30 &#x00D7; 20 &#x00D7; 20</td>
<td>Hot pressed</td>
<td>GB 1935&#x2013;2009<break/>ASTM D143&#x2013;2009</td>
<td>&#x2161;: 133.4<break/>&#x22A5;: 25.7</td>
</tr>
<tr>
<td>Xu et al. [<xref ref-type="bibr" rid="ref-72">72</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>100 &#x00D7; 25 &#x00D7; 25</td>
<td>&#x2013;</td>
<td>ASTM D143&#x2013;14</td>
<td>&#x2161;: 5.32&#x2013;66.54<break/>&#x22A5;: 0.56&#x2013;28.01</td>
</tr>
<tr>
<td>Huang et al. [<xref ref-type="bibr" rid="ref-73">73</xref>]</td>
<td><italic>Phyllostachys</italic></td>
<td>China</td>
<td>&#x2013;</td>
<td>200 &#x00D7; 50 &#x00D7; 50</td>
<td>&#x2013;</td>
<td>ASTM D143&#x2013;09</td>
<td>&#x2161;: 65.53<break/>&#x22A5;: 23.14</td>
</tr>
<tr>
<td>Yang et al. [<xref ref-type="bibr" rid="ref-74">74</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>Epoxy</td>
<td>150 &#x00D7; 60 &#x00D7; 12/14</td>
<td>&#x2013;</td>
<td>ASTM D143<break/>ASTM C364</td>
<td>&#x2161;: 48&#x2013;55</td>
</tr>
<tr>
<td>Zhao et al. [<xref ref-type="bibr" rid="ref-75">75</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>&#x2013;</td>
<td>30 &#x00D7; 20 &#x00D7; 20, 75 &#x00D7; 50 &#x00D7; 50, 120 &#x00D7; 80 &#x00D7; 80, 165 &#x00D7; 110 &#x00D7; 110, 210 &#x00D7; 140 &#x00D7; 140</td>
<td>&#x2013;</td>
<td>GB/T 50329&#x2013;2012<break/>GB/T1935&#x2013;2009</td>
<td>&#x2161;: 67.4&#x2013;91.68</td>
</tr>
<tr>
<td>Rao et al. [<xref ref-type="bibr" rid="ref-76">76</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>60 &#x00D7; 8.6 &#x00D7; 8.6</td>
<td>&#x2013;</td>
<td>GB/T 17657&#x2013;2013</td>
<td>&#x2161;: 81.7&#x2013;103</td>
</tr>
<tr>
<td>Sun et al. [<xref ref-type="bibr" rid="ref-77">77</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>40 &#x00D7; 25 &#x00D7; 10</td>
<td>Hot pressed</td>
<td>ASTM D1037&#x2013;2012</td>
<td>&#x2013;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="table-1fn1" fn-type="other">
<p>Note: PF represents phenol formaldehyde resin, &#x2161; represents parallel to grain, &#x22A5; represents perpendicular to grain.</p>
</fn>
</table-wrap-foot>
</table-wrap><table-wrap id="table-2"><label>Table 2</label>
<caption>
<title>Literature on bending properties</title></caption>
<table><colgroup>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th colspan="8">Bending</th>
</tr>
<tr>
<th>Study</th>
<th>Species</th>
<th>Origin</th>
<th>Glue</th>
<th>Size (mm)</th>
<th>Method</th>
<th>Standard</th>
<th>Strength (MPa)</th>
</tr>
</thead>
<tbody>
<tr>
<td>Li et al. [<xref ref-type="bibr" rid="ref-20">20</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
<td>Hot pressed</td>
<td>GB/T 1936-2009</td>
<td>125.44</td>
</tr>
<tr>
<td>Guan et al. [<xref ref-type="bibr" rid="ref-38">38</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>300 &#x00D7; 300 &#x00D7; 20</td>
<td>Hot pressed</td>
<td>GB/T 1936-1991</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Yang et al. [<xref ref-type="bibr" rid="ref-39">39</xref>]</td>
<td><italic>&#x2013;</italic></td>
<td>China</td>
<td>&#x2013;</td>
<td>180 &#x00D7; 60 &#x00D7; 15</td>
<td>&#x2013;</td>
<td>ASTM D143-1994<break/>GB/T 1936-2009</td>
<td>113.79</td>
</tr>
<tr>
<td>Li et al. [<xref ref-type="bibr" rid="ref-48">48</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>760 &#x00D7; 50 &#x00D7; 15</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
<td>144.3</td>
</tr>
<tr>
<td>Sharma et al. [<xref ref-type="bibr" rid="ref-50">50</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>800 &#x00D7; 40 &#x00D7; 40</td>
<td>&#x2013;</td>
<td>ASTM D143-09</td>
<td>119</td>
</tr>
<tr>
<td>Kumar et al. [<xref ref-type="bibr" rid="ref-55">55</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>&#x2013;</td>
<td>Cold pressed</td>
<td>&#x010C;SN490115<break/>&#x010C;SN490116</td>
<td>131.83&#x2013;166.5</td>
</tr>
<tr>
<td>Sylvayanti et al. [<xref ref-type="bibr" rid="ref-58">58</xref>]</td>
<td><italic>Gigantochloa</italic></td>
<td>Indonesia</td>
<td>PF</td>
<td>410 &#x00D7; 25 &#x00D7; 25</td>
<td>Cold pressed</td>
<td>ASTM D143-14</td>
<td>71.14</td>
</tr>
<tr>
<td>Rao et al. [<xref ref-type="bibr" rid="ref-61">61</xref>]</td>
<td><italic>Bambusa chungii</italic></td>
<td>China</td>
<td>PF</td>
<td>280 &#x00D7; 20 &#x00D7; 13</td>
<td>Hot pressed</td>
<td>GB/T 17657-2013</td>
<td>253.7</td>
</tr>
<tr>
<td>Sewar et al. [<xref ref-type="bibr" rid="ref-62">62</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>500 &#x00D7; 90 &#x00D7; 20</td>
<td>Hot pressed</td>
<td>GB/T 17657-2013</td>
<td>104.4</td>
</tr>
<tr>
<td>Hu et al. [<xref ref-type="bibr" rid="ref-63">63</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>450 &#x00D7; 20 &#x00D7; 20</td>
<td>Hot pressed</td>
<td>GB/T 30364</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Zheng et al. [<xref ref-type="bibr" rid="ref-64">64</xref>]</td>
<td><italic>Neosinocalamus affinis</italic></td>
<td>China</td>
<td>PF</td>
<td>300 &#x00D7; 20 &#x00D7; 20</td>
<td>Hot pressed</td>
<td>GB/T 1936.1-2-2009<break/>ASTM D143-14</td>
<td>236.6</td>
</tr>
<tr>
<td>Rao et al. [<xref ref-type="bibr" rid="ref-68">68</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>280 &#x00D7; 25 &#x00D7; 13</td>
<td>Hot pressed</td>
<td>GB/T 30364-2013<break/>GB/T 17657-2013<break/>GB/T 20241-2006</td>
<td>178.35</td>
</tr>
<tr>
<td>Yang et al. [<xref ref-type="bibr" rid="ref-74">74</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>Epoxy</td>
<td>180 &#x00D7; 60 &#x00D7; 15/17</td>
<td>&#x2013;</td>
<td>ASTM D143<break/>ASTM C393</td>
<td>111.3&#x2013;145.8</td>
</tr>
<tr>
<td>Rao et al. [<xref ref-type="bibr" rid="ref-76">76</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>222 &#x00D7; 25 &#x00D7; 8.6</td>
<td>&#x2013;</td>
<td>GB/T 17657&#x2013;2013<break/>GB/T 20241&#x2013;2006</td>
<td>167&#x2013;195</td>
</tr>
<tr>
<td>Sun et al. [<xref ref-type="bibr" rid="ref-77">77</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>250 &#x00D7; 20 &#x00D7; 10</td>
<td>Hot pressed</td>
<td>GB/T 30364&#x2013;2013<break/>GB17657-2013<break/>ASTM D2344-2016</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Liu et al. [<xref ref-type="bibr" rid="ref-78">78</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>300 &#x00D7; 30 &#x00D7; 18</td>
<td>&#x2013;</td>
<td>GB/T 1936.1&#x2013;2009 GB/T 17657-2013</td>
<td>97&#x2013;466</td>
</tr>
<tr>
<td>Chen et al. [<xref ref-type="bibr" rid="ref-79">79</xref>]</td>
<td><italic>&#x2013;</italic></td>
<td>China</td>
<td>Epoxy</td>
<td>400 to 1000 &#x00D7; 100 &#x00D7; 70</td>
<td>&#x2013;</td>
<td>ASTM D143-09</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Qiu et al. [<xref ref-type="bibr" rid="ref-80">80</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>760 &#x00D7; 50 &#x00D7; 50</td>
<td>Hot pressed</td>
<td>ASTM D143-2014</td>
<td>10.47&#x2013;118.06</td>
</tr>
<tr>
<td>Zhao et al. [<xref ref-type="bibr" rid="ref-81">81</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>UF</td>
<td>330 &#x00D7; 38 &#x00D7; 17</td>
<td>Cold pressed</td>
<td>GBT 1928-2009<break/>GB/T 50329&#x2013;2012<break/>GB/T 1936.1-2009</td>
<td>39.243&#x2013;121.865</td>
</tr>
<tr>
<td>Zou et al. [<xref ref-type="bibr" rid="ref-82">82</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>&#x2013;</td>
<td>450 &#x00D7; 100 &#x00D7; 14</td>
<td>&#x2013;</td>
<td>GB/T 17657</td>
<td>102.6&#x2013;153.1</td>
</tr>
<tr>
<td>Wu et al. [<xref ref-type="bibr" rid="ref-83">83</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF, Epoxy</td>
<td>600 &#x00D7; 30 &#x00D7; 30</td>
<td>&#x2013;</td>
<td>GB/T 50329-2012</td>
<td>152.68&#x2013;289.01</td>
</tr>
<tr>
<td>Yu et al. [<xref ref-type="bibr" rid="ref-84">84</xref>]</td>
<td><italic>Neosinocalamus affinis</italic></td>
<td>China</td>
<td>PF</td>
<td>360 &#x00D7; 50 &#x00D7; 18</td>
<td>Hot pressed</td>
<td>ASTM D-1037<break/>ASTM D2344</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Yang et al. [<xref ref-type="bibr" rid="ref-85">85</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>320 to 660 &#x00D7; 50 &#x00D7; 50</td>
<td>Hot pressed</td>
<td>ASTM D143-09<break/>ISO 8375:2009-02</td>
<td>104.43&#x2013;114.14</td>
</tr>
<tr>
<td>Qiu et al. [<xref ref-type="bibr" rid="ref-86">86</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>300 &#x00D7; 20 &#x00D7; 20</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Qiu et al. [<xref ref-type="bibr" rid="ref-87">87</xref>]</td>
<td><italic>&#x2013;</italic></td>
<td>China</td>
<td>&#x2013;</td>
<td>300 &#x00D7; 20 &#x00D7; 20</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Wang et al. [<xref ref-type="bibr" rid="ref-88">88</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>160 &#x00D7; 10 &#x00D7; 10</td>
<td>Hot pressed</td>
<td>LY/T 3194-2020</td>
<td>120.47</td>
</tr>
</tbody>
</table>
</table-wrap><table-wrap id="table-3"><label>Table 3</label>
<caption>
<title>Literature on tensile properties</title></caption>
<table><colgroup>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th colspan="8">Tension</th>
</tr>
<tr>
<th>Study</th>
<th>Species</th>
<th>Origin</th>
<th>Glue</th>
<th>Size (mm)</th>
<th>Method</th>
<th>Standard</th>
<th>Strength (MPa)</th>
</tr>
</thead>
<tbody>
<tr>
<td>Li et al. [<xref ref-type="bibr" rid="ref-20">20</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
<td>Hot pressed</td>
<td>GB/T 1938&#x2013;2009</td>
<td>&#x2161;: 112.78<break/>&#x22A5;: 3.726</td>
</tr>
<tr>
<td>Gong et al. [<xref ref-type="bibr" rid="ref-21">21</xref>]</td>
<td><italic>Neosinocalamus affinis</italic></td>
<td>China</td>
<td>PF</td>
<td>370 &#x00D7; 20 &#x00D7; 15</td>
<td>Hot pressed</td>
<td>GB/T 1938&#x2013;2009</td>
<td>&#x2161;: 170.65</td>
</tr>
<tr>
<td>Zhang et al. [<xref ref-type="bibr" rid="ref-46">46</xref>]</td>
<td><italic>Bambusa emeiensis</italic></td>
<td>China</td>
<td>&#x2013;</td>
<td>370 &#x00D7; 20 &#x00D7; 20</td>
<td>&#x2013;</td>
<td>GB/T 1938&#x2013;2009</td>
<td>&#x2161;: 248.15</td>
</tr>
<tr>
<td>Li [<xref ref-type="bibr" rid="ref-47">47</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>&#x2013;</td>
<td>453 &#x00D7; 25 &#x00D7; 50</td>
<td>Hot pressed</td>
<td>ASTM D143&#x2013;09</td>
<td>&#x2161;: 118.4</td>
</tr>
<tr>
<td>Li et al. [<xref ref-type="bibr" rid="ref-48">48</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>453 &#x00D7; 21 &#x00D7; 15<break/>63 &#x00D7; 50 &#x00D7; 50</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
<td>&#x2161;: 156.2<break/>&#x22A5;: 3.88</td>
</tr>
<tr>
<td>Wei et al. [<xref ref-type="bibr" rid="ref-49">49</xref>]</td>
<td><italic>&#x2013;</italic></td>
<td>China</td>
<td>PF</td>
<td>460 &#x00D7; 25 &#x00D7; 10</td>
<td>Cold pressed</td>
<td>GB/T 1927&#x2013;1991<break/>ASTM D143&#x2013;09</td>
<td>&#x2161;: 138.5</td>
</tr>
<tr>
<td>Sharma et al. [<xref ref-type="bibr" rid="ref-50">50</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>460 &#x00D7; 25 &#x00D7; 25<break/>62 &#x00D7; 50 &#x00D7; 50</td>
<td>&#x2013;</td>
<td>ASTM D143&#x2013;09<break/>BS 373</td>
<td>&#x2161;: 120<break/>&#x22A5;: 3</td>
</tr>
<tr>
<td>Wei et al. [<xref ref-type="bibr" rid="ref-53">53</xref>]</td>
<td><italic>&#x2013;</italic></td>
<td>China</td>
<td>&#x2013;</td>
<td>420 &#x00D7; 25 &#x00D7; 10</td>
<td>Hot pressed</td>
<td>ASTMD143&#x2013;94 (2000)<break/>GB/T1928&#x2013;2009</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Li et al. [<xref ref-type="bibr" rid="ref-54">54</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>&#x2013;</td>
<td>630 &#x00D7; 50 &#x00D7; 50</td>
<td>&#x2013;</td>
<td>ASTMD143&#x2013;94 (2000)<break/>GB 1927&#x007E;1943&#x2013;91<break/>GB/T 50329&#x2013;2012<break/>GB/T 1938&#x2013;2009</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Kumar et al. [<xref ref-type="bibr" rid="ref-55">55</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>350 &#x00D7; 20 &#x00D7; 20<break/>92 &#x00D7; 40 &#x00D7; 5</td>
<td>Cold pressed</td>
<td>&#x010C;SN490113<break/>&#x010C;SN490114</td>
<td>&#x2161;: 111&#x2013;144.75<break/>&#x22A5;: 4.18&#x2013;6.7</td>
</tr>
<tr>
<td>Sylvayanti et al. [<xref ref-type="bibr" rid="ref-58">58</xref>]</td>
<td><italic>Gigantochloa</italic></td>
<td>Indonesia</td>
<td>PF</td>
<td>460 &#x00D7; 25 &#x00D7; 25</td>
<td>Cold pressed</td>
<td>ASTM D143&#x2013;14</td>
<td>&#x2161;: 34.27</td>
</tr>
<tr>
<td>Wu et al. [<xref ref-type="bibr" rid="ref-59">59</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>370 &#x00D7; 20 &#x00D7; 15</td>
<td>Hot pressed</td>
<td>ASTM D143&#x2013;14</td>
<td>&#x2161;: 108.45<break/>&#x22A5;: 7.62</td>
</tr>
<tr>
<td>Sewar et al. [<xref ref-type="bibr" rid="ref-62">62</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>375 &#x00D7; 25 &#x00D7; 25<break/>63 &#x00D7; 50 &#x00D7; 50</td>
<td>Hot pressed</td>
<td>ASTM D143&#x2013;14</td>
<td>&#x2161;: 120.7<break/>&#x22A5;: 7.7</td>
</tr>
<tr>
<td>Zheng et al. [<xref ref-type="bibr" rid="ref-64">64</xref>]</td>
<td><italic>Neosinocalamus affinis</italic></td>
<td>China</td>
<td>PF</td>
<td>370 &#x00D7; 20 &#x00D7; 15</td>
<td>Hot pressed</td>
<td>GB/T 1938&#x2013;2009<break/>ASTM D143&#x2013;14</td>
<td>&#x2161;: 250.2</td>
</tr>
<tr>
<td>Xu et al. [<xref ref-type="bibr" rid="ref-72">72</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>600 &#x00D7; 40 &#x00D7; 9</td>
<td>&#x2013;</td>
<td>ASTM D143&#x2013;14</td>
<td>&#x2161;: 5.81&#x2013;110.64<break/>&#x22A5;: 0.73&#x2013;6.68</td>
</tr>
<tr>
<td>Huang et al. [<xref ref-type="bibr" rid="ref-73">73</xref>]</td>
<td><italic>Phyllostachys</italic></td>
<td>China</td>
<td>&#x2013;</td>
<td>453 &#x00D7; 25 &#x00D7; 5<break/>57 &#x00D7; 50</td>
<td>&#x2013;</td>
<td>ASTM D143&#x2013;09</td>
<td>&#x2161;: 118.4<break/>&#x22A5;: 4.43</td>
</tr>
<tr>
<td>Yang et al. [<xref ref-type="bibr" rid="ref-74">74</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>Epoxy</td>
<td>330 &#x00D7; 50 &#x00D7; 15</td>
<td>&#x2013;</td>
<td>ASTM D143<break/>ASTM C297</td>
<td>&#x2161;: 108.7&#x2013;138.9</td>
</tr>
<tr>
<td>Wang et al. [<xref ref-type="bibr" rid="ref-89">89</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>&#x2013;</td>
<td>370 &#x00D7; 20 &#x00D7; 15<break/>150 &#x00D7; 30 &#x00D7; 20</td>
<td>&#x2013;</td>
<td>GB/T 1938&#x2013;2009<break/>GB/T 14017&#x2013;2009</td>
<td>&#x2161;: 139.89&#x2013;235.54<break/>&#x22A5;: 11.41&#x2013;17.82</td>
</tr>
<tr>
<td>Luo et al. [<xref ref-type="bibr" rid="ref-90">90</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>480 &#x00D7; 50 &#x00D7; 20</td>
<td>Hot pressed</td>
<td>LY/T 3194&#x2013;2020</td>
<td>&#x2161;: 141.92</td>
</tr>
<tr>
<td>Luo et al. [<xref ref-type="bibr" rid="ref-91">91</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>480 &#x00D7; 70 &#x00D7; 20</td>
<td>Hot pressed</td>
<td>LY/T 3194&#x2013;2020</td>
<td>&#x22A5;: 8.5</td>
</tr>
</tbody>
</table>
</table-wrap><table-wrap id="table-4"><label>Table 4</label>
<caption>
<title>Literature on shear properties</title></caption>
<table><colgroup>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th colspan="8">Shear</th>
</tr>
<tr>
<th>Study</th>
<th>Species</th>
<th>Origin</th>
<th>Glue</th>
<th>Size (mm)</th>
<th>Method</th>
<th>Standard</th>
<th>Strength (MPa)</th>
</tr>
</thead>
<tbody>
<tr>
<td>Li et al. [<xref ref-type="bibr" rid="ref-20">20</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
<td>Hot pressed</td>
<td>GB/T 1937&#x2013;2009</td>
<td>&#x2161;: 52.41</td>
</tr>
<tr>
<td>Li et al. [<xref ref-type="bibr" rid="ref-48">48</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>63 &#x00D7; 50 &#x00D7; 50</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
<td>&#x2161;: 26.7</td>
</tr>
<tr>
<td>Sharma et al. [<xref ref-type="bibr" rid="ref-50">50</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>50 &#x00D7; 50 &#x00D7; 50</td>
<td>&#x2013;</td>
<td>ASTM D143&#x2013;09<break/>BS 373<break/>BS EN 408</td>
<td>&#x2161;: 15</td>
</tr>
<tr>
<td>Kumar et al. [<xref ref-type="bibr" rid="ref-55">55</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>50 &#x00D7; 40 &#x00D7; 20</td>
<td>Cold pressed</td>
<td>&#x010C;SN490118</td>
<td>&#x2161;: 11.89&#x2013;17</td>
</tr>
<tr>
<td>Sylvayanti et al. [<xref ref-type="bibr" rid="ref-58">58</xref>]</td>
<td><italic>Gigantochloa</italic></td>
<td>Indonesia</td>
<td>PF</td>
<td>63 &#x00D7; 50 &#x00D7; 30</td>
<td>Cold pressed</td>
<td>ASTM D143&#x2013;14</td>
<td>&#x2161;: 11.15</td>
</tr>
<tr>
<td>Wu et al. [<xref ref-type="bibr" rid="ref-59">59</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>40 &#x00D7; 35 &#x00D7; 20</td>
<td>Hot pressed</td>
<td>ASTM D143&#x2013;14</td>
<td>&#x2161;: 20.89<break/>&#x22A5;: 22.91&#x2013;31.68</td>
</tr>
<tr>
<td>Sewar et al. [<xref ref-type="bibr" rid="ref-62">62</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>76 &#x00D7; 56 &#x00D7; 5</td>
<td>Hot pressed</td>
<td>ASTM D7080</td>
<td>&#x2161;: 24<break/>&#x22A5;: 37.1</td>
</tr>
<tr>
<td>Hu et al. [<xref ref-type="bibr" rid="ref-63">63</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>120 &#x00D7; 40 &#x00D7; 20</td>
<td>Hot pressed</td>
<td>GB/T 30364</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Zheng et al. [<xref ref-type="bibr" rid="ref-64">64</xref>]</td>
<td><italic>Neosinocalamus affinis</italic></td>
<td>China</td>
<td>PF</td>
<td>40 &#x00D7; 35 &#x00D7; 20</td>
<td>Hot pressed</td>
<td>GB/T 1938&#x2013;2009<break/>ASTM D143&#x2013;14</td>
<td>&#x2161;: 29.6</td>
</tr>
<tr>
<td>Rao et al. [<xref ref-type="bibr" rid="ref-68">68</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>78 &#x00D7; 40 &#x00D7; 13</td>
<td>Hot pressed</td>
<td>GB/T 30364&#x2013;2013<break/>GB/T 17657&#x2013;2013<break/>GB/T 20241&#x2013;2006</td>
<td>&#x22A5;: 19.21</td>
</tr>
<tr>
<td>Shangguan et al. [<xref ref-type="bibr" rid="ref-71">71</xref>]</td>
<td><italic>Neosinocalamus affinis</italic></td>
<td>China</td>
<td>PF</td>
<td>40 &#x00D7; 35 &#x00D7; 20</td>
<td>Hot pressed</td>
<td>GB 1937&#x2013;2009<break/>ASTM D143&#x2013;2009</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Huang et al. [<xref ref-type="bibr" rid="ref-73">73</xref>]</td>
<td><italic>Phyllostachys</italic></td>
<td>China</td>
<td>&#x2013;</td>
<td>76 &#x00D7; 56</td>
<td>&#x2013;</td>
<td>ASTM D143&#x2013;09<break/>ASTM D7078</td>
<td>&#x2161;: 8.21<break/>&#x22A5;: 23.44</td>
</tr>
<tr>
<td>Yang et al. [<xref ref-type="bibr" rid="ref-74">74</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>Epoxy</td>
<td>120 &#x00D7; 60 &#x00D7; 15/17</td>
<td>&#x2013;</td>
<td>ASTM D143<break/>ASTM-D7078</td>
<td>&#x22A5;: 33.8&#x2013;46.1</td>
</tr>
<tr>
<td>Rao et al. [<xref ref-type="bibr" rid="ref-76">76</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>52 &#x00D7; 40 &#x00D7; 8.6</td>
<td>&#x2013;</td>
<td>GB/T 17657&#x2013;2013<break/>GB/T 20241&#x2013;2006</td>
<td>&#x22A5;: 16.3&#x2013;21.7</td>
</tr>
<tr>
<td>Sun et al. [<xref ref-type="bibr" rid="ref-77">77</xref>]</td>
<td><italic>Phyllostachys pubescens</italic></td>
<td>China</td>
<td>PF</td>
<td>60 &#x00D7; 20 &#x00D7; 10</td>
<td>Hot pressed</td>
<td>GB/T 30364&#x2013;2013<break/>GB17657&#x2013;2013</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Yu et al. [<xref ref-type="bibr" rid="ref-84">84</xref>]</td>
<td><italic>Neosinocalamus affinis</italic></td>
<td>China</td>
<td>PF</td>
<td>90 &#x00D7; 40 &#x00D7; 18</td>
<td>Hot pressed</td>
<td>ASTM D-1037<break/>ASTM D2344</td>
<td>&#x2013;</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>It can be seen from the above four tables that China is the main producer of BS. Neosinocalamus affinis and Phyllostachys pubescens are the most commonly used BS raw materials. According to references [<xref ref-type="bibr" rid="ref-46">46</xref>&#x2013;<xref ref-type="bibr" rid="ref-48">48</xref>,<xref ref-type="bibr" rid="ref-92">92</xref>,<xref ref-type="bibr" rid="ref-93">93</xref>], the properties of BS made from two kinds of raw bamboo are enhanced on the basis of raw materials, but the properties of the two kinds of BS are different from each other. In general, the tensile and compressive properties of BS with Neosinocalamus affinis as raw material are better than those of Phyllostachys pubescens. PF and epoxy are mostly used as adhesives, and the standards referenced in the test are mainly the standards related to wood in China and America. In the four mechanical property tests, the size of compression and bending test specimens changes greatly.</p>
</sec>
<sec id="s3">
<label>3</label>
<title>Reviews on Mechanical Properties</title>
<p>According to the review of BS mechanical properties, the commonly used test methods for BS mechanical properties test are shown in <xref ref-type="fig" rid="fig-3">Fig. 3</xref>. The yellow part represents the specimen, and the red arrow represents the force and its direction.</p>
<fig id="fig-3">
<label>Figure 3</label>
<caption>
<title>Schematic diagram of mechanical test: (a) tension parallel to grain, (b) tension perpendicular to grain, (c) compression parallel to grain, (d) compression perpendicular to grain, (e) shear parallel to grain, (f) three-point and four-point bending</title></caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JRM_29602-fig-3.tif"/>
</fig>
<sec id="s3_1">
<label>3.1</label>
<title>Compression</title>
<p>In the compressive test of BS, the failure modes of compression parallel and perpendicular to grain can be divided into strength failure and buckling failure, and the buckling failure mostly occurs in the specimens with large slenderness ratio [<xref ref-type="bibr" rid="ref-69">69</xref>]. The compressive strength failure along the grain direction can be divided into three failure modes: buckling failure, shear failure and splitting failure [<xref ref-type="bibr" rid="ref-49">49</xref>,<xref ref-type="bibr" rid="ref-60">60</xref>], which are mainly due to the yield of fibers and the bond failure between fibers during loading. Oblique shear failure mainly occurs during compression perpendicular to grain [<xref ref-type="bibr" rid="ref-69">69</xref>,<xref ref-type="bibr" rid="ref-73">73</xref>], and the failure is mainly due to the bond failure between fibers (<xref ref-type="fig" rid="fig-4">Fig. 4</xref>).</p>
<fig id="fig-4">
<label>Figure 4</label>
<caption>
<title>Compression failure forms: (a) parallel to grain. Adapted with permission from [<xref ref-type="bibr" rid="ref-60">60</xref>], Copyright &#x00A9; 2020, Elsevier B. V; (b) perpendicular to grain. Adapted with permission from [<xref ref-type="bibr" rid="ref-69">69</xref>], Copyright &#x00A9; 2019, Tech Science Press</title></caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JRM_29602-fig-4.tif"/>
</fig>
<p>The BS made by hot pressing at 140&#x00B0;C reduces the color deepening while maintaining its high durability, and its compressive strength is higher than that of ordinary BS [<xref ref-type="bibr" rid="ref-48">48</xref>,<xref ref-type="bibr" rid="ref-62">62</xref>]. The BS made of wide-bundle bamboo strips (WBS) has higher utilization rate of bamboo than the traditional BS, and the cracks caused by the fiberization of wide-bundle bamboo strips form a mechanical interlocking network filled with resin after resin filling and curing, which enhances the mechanical properties of WBS, so the compressive performance of WBS is better than that of traditional BS [<xref ref-type="bibr" rid="ref-63">63</xref>].</p>
<p>In the case of sufficient research on the mechanical properties of BS, it is of great significance to obtain the strength design value through reliability analysis. According to the damage characteristics of material test, the reliability index of design strength during compression is 3.2, the loading duration and reliability index are negatively correlated with the strength design value [<xref ref-type="bibr" rid="ref-64">64</xref>].</p>
<p>Shangguan et al. [<xref ref-type="bibr" rid="ref-71">71</xref>] studied the compression of BS made from different fiber orientations, and explored the influence of fiber orientation on the compressive properties and failure forms of BS. The results show that as the fiber orientation tends to be horizontal, the compressive strength of BS decreases, and the fiber buckling is less and less, mostly glue cracking and splitting between fibers. The longitudinal, tangential and radial compression tests show that the failure of the specimens caused by three loading directions is strength failure, and there are main cracks along the diagonal, the load-displacement curves in three grain directions include three stages of elasticity, yield and failure [<xref ref-type="bibr" rid="ref-51">51</xref>,<xref ref-type="bibr" rid="ref-56">56</xref>]. In the microscopic observation of the failure mode, it is shown that the fiber fracture of the longitudinal compression specimen is ductile, and the fiber fracture of the tangential and radial compression specimens is brittle, which is the reason why the deformation and strength of the longitudinal compression are greater than those of the tangential and radial compression [<xref ref-type="bibr" rid="ref-56">56</xref>]. However, when the temperature rises to a certain extent, due to the degradation of the resin, the ductile failure of BS parallel to grain will be transformed into brittleness, and the crushing failure occurs in the transverse direction [<xref ref-type="bibr" rid="ref-57">57</xref>]</p>
<p>In the composite test of BS and steel tube, it is found that the steel tube significantly increases the compressive strength and axial strain of BS, and restrains the lateral deformation of BS well. The thickness of steel tube has a great influence on the compressive strength and ultimate strain of BS [<xref ref-type="bibr" rid="ref-65">65</xref>]. The results of the composite test of glass fiber (GF) and BS show that the compressive strength of BS can be slightly increased when the GF layer is thicker, and GF significantly improves the fire resistance of BS [<xref ref-type="bibr" rid="ref-66">66</xref>].</p>
<p>The compressive properties of BS are affected by density [<xref ref-type="bibr" rid="ref-55">55</xref>]. As can be seen from <xref ref-type="fig" rid="fig-5">Fig. 5</xref>, with the increase of the density of BS, the compressive strength and compressive modulus also increase, but the increase ratio decreases. The high density of BS makes its compressive properties higher than timber [<xref ref-type="bibr" rid="ref-58">58</xref>,<xref ref-type="bibr" rid="ref-59">59</xref>]. The effect of resin content on the compressive properties of BS was studied. Some experiments showed that the effect was not significant, but some experiments showed that the effect was significant [<xref ref-type="bibr" rid="ref-61">61</xref>,<xref ref-type="bibr" rid="ref-76">76</xref>,<xref ref-type="bibr" rid="ref-77">77</xref>].</p>
<fig id="fig-5">
<label>Figure 5</label>
<caption>
<title>Compressive properties of different densities. Adapted with permission from [<xref ref-type="bibr" rid="ref-55">55</xref>], Copyright &#x00A9; 2016, Elsevier B. V</title></caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JRM_29602-fig-5.tif"/>
</fig>
<p>The creep study of BS showed that when BS is continuously compressed, the creep deformation develops stably when the stress level is low, the direct buckling failure when the stress level is high, and the deformation increases nonlinearly. In addition, the studies show that burgers model can better fit the creep curve of BS [<xref ref-type="bibr" rid="ref-52">52</xref>&#x2013;<xref ref-type="bibr" rid="ref-54">54</xref>,<xref ref-type="bibr" rid="ref-67">67</xref>].</p>
<p>Burgers model is a quaternion model formed by Maxwell model and Kelvin model in series connection. Burgers model (<xref ref-type="fig" rid="fig-6">Fig. 6</xref>) consists of three parts: instantaneous elastic deformation, delayed elastic deformation and viscous flow. The elastic element with elastic modulus <inline-formula id="ieqn-1">
<mml:math id="mml-ieqn-1"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:mrow></mml:math>
</inline-formula> in Maxwell model is used to simulate the instantaneous elastic deformation, the delayed elastic deformation is simulated by Kelvin model, and the viscous flow is simulated by the element with viscosity <inline-formula id="ieqn-2">
<mml:math id="mml-ieqn-2"><mml:mrow><mml:msub><mml:mi>&#x03B7;</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:mrow></mml:math>
</inline-formula> related to Maxwell model [<xref ref-type="bibr" rid="ref-54">54</xref>].</p>
<fig id="fig-6">
<label>Figure 6</label>
<caption>
<title>Burgers model</title></caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JRM_29602-fig-6.tif"/>
</fig>
<p>The equation of Burgers model is composed of the sum of Maxwell model and Kelvin model strain equation. The strain equations of Maxwell model and Kelvin model are both obtained on the basis of elastic equation and viscous equation.</p>
<p>Elastic equation:<disp-formula id="eqn-1"><label>(1)</label>
<mml:math id="mml-eqn-1" display="block"><mml:mi>&#x03B5;</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mi>&#x03C3;</mml:mi><mml:mi>E</mml:mi></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</disp-formula></p>
<p>Viscous equation:<disp-formula id="eqn-2"><label>(2)</label>
<mml:math id="mml-eqn-2" display="block"><mml:mi>&#x03B5;</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03C3;</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow></mml:mrow><mml:mi>&#x03B7;</mml:mi></mml:mfrac></mml:mrow><mml:mi>t</mml:mi></mml:mstyle></mml:math>
</disp-formula></p>
<p>Maxwell model creep equation:<disp-formula id="eqn-3"><label>(3)</label>
<mml:math id="mml-eqn-3" display="block"><mml:mi>&#x03B5;</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03C3;</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow></mml:mrow><mml:mrow><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mfrac></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:mrow></mml:mrow><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B7;</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mfrac></mml:mrow><mml:mi>t</mml:mi></mml:mstyle></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mstyle></mml:math>
</disp-formula></p>
<p>Kelvin model creep equation:<disp-formula id="eqn-4"><label>(4)</label>
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</disp-formula></p>
<p>Burgers model creep equation:<disp-formula id="eqn-5"><label>(5)</label>
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</disp-formula></p>
<p>In order to quantitatively describe the flexibility and recovery performance of BS short columns, Wei et al. [<xref ref-type="bibr" rid="ref-70">70</xref>] studied the compression behavior of BS under cyclic load. It is found that the failure forms of BS short columns under cyclic load are the same as those under uniaxial compression, which are buckling, shear and splitting failure respectively, and the cyclic stress-strain model is established to predict.</p>
<p>Through the summary of the research on the compressive mechanical properties of BS, it is found that there is an obvious nonlinear section in the stress-strain curve of BS whether it is compressive parallel to grain or perpendicular to grain (as shown in <xref ref-type="fig" rid="fig-7">Fig. 7</xref>), and the treatment methods for this nonlinear section are different [<xref ref-type="bibr" rid="ref-48">48</xref>,<xref ref-type="bibr" rid="ref-59">59</xref>,<xref ref-type="bibr" rid="ref-69">69</xref>,<xref ref-type="bibr" rid="ref-73">73</xref>]. In <xref ref-type="table" rid="table-5">Table 5</xref>, the compression constitutive model of BS is summarized.</p>
<fig id="fig-7">
<label>Figure 7</label>
<caption>
<title>Compressive stress-strain curves of BS: (a) parallel to grain; (b) perpendicular to grain. Adapted with permission from [<xref ref-type="bibr" rid="ref-69">69</xref>], Copyright &#x00A9; 2019, Tech Science Press</title></caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JRM_29602-fig-7.tif"/>
</fig><table-wrap id="table-5"><label>Table 5</label>
<caption>
<title>Compression constitutive model</title></caption>
<table><colgroup>
<col/>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>Direction</th>
<th>Model</th>
<th>Formula</th>
<th>Coefficient</th>
</tr>
</thead>
<tbody>
<tr>
<td rowspan="2">Perpendicular to grain</td>
<td>Quadratic function model [<xref ref-type="bibr" rid="ref-69">69</xref>]</td>
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</inline-formula></td>
</tr>
<tr>
<td>Exponential function model [<xref ref-type="bibr" rid="ref-73">73</xref>]</td>
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</inline-formula></td>
<td><inline-formula id="ieqn-8">
<mml:math id="mml-ieqn-8"><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mi>ln</mml:mi><mml:mo>&#x2061;</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:msup><mml:mrow><mml:mi>f</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">&#x2032;</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:msup><mml:mrow><mml:mi>f</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">&#x2032;</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>ln</mml:mi><mml:mo>&#x2061;</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:msup><mml:mrow><mml:mi>&#x03B5;</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">&#x2032;</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:msup><mml:mrow><mml:mi>&#x03B5;</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">&#x2032;</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</inline-formula><break/><inline-formula id="ieqn-9">
<mml:math id="mml-ieqn-9"><mml:mi>&#x03BA;</mml:mi><mml:mo>=</mml:mo><mml:mrow><mml:msubsup><mml:mrow><mml:mi>f</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:mrow></mml:mrow><mml:mrow><mml:mi mathvariant="normal">&#x2032;</mml:mi></mml:mrow></mml:msubsup></mml:mrow><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msubsup><mml:mrow><mml:mi>&#x03B5;</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:mrow></mml:mrow><mml:mrow><mml:mi mathvariant="normal">&#x2032;</mml:mi></mml:mrow></mml:msubsup></mml:mrow><mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mi>n</mml:mi></mml:msup></mml:mrow></mml:math>
</inline-formula></td>
</tr>
<tr>
<td rowspan="5">Parallel to grain</td>
<td>Three-linear model [<xref ref-type="bibr" rid="ref-48">48</xref>]</td>
<td><inline-formula id="ieqn-10">
<mml:math id="mml-ieqn-10"><mml:mi>&#x03C3;</mml:mi><mml:mo>=</mml:mo><mml:mrow><mml:mo>{</mml:mo><mml:mrow><mml:mtable rowspacing="4pt" columnspacing="1em"><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow><mml:mi>&#x03B5;</mml:mi></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mrow><mml:mo>&#x2212;</mml:mo></mml:mrow><mml:mi>a</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x2212;</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow><mml:mo fence="true" stretchy="true" symmetric="true"></mml:mo></mml:mrow><mml:mtable rowspacing="4pt" columnspacing="1em"><mml:mtr><mml:mtd><mml:mrow></mml:mrow></mml:mtd><mml:mtd><mml:mrow></mml:mrow></mml:mtd></mml:mtr></mml:mtable><mml:mtable rowspacing="4pt" columnspacing="1em"><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>0</mml:mn><mml:mo>&#x2264;</mml:mo><mml:mi>&#x03B5;</mml:mi><mml:mo>&#x2264;</mml:mo><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow><mml:mo>&#x2264;</mml:mo><mml:mi>&#x03B5;</mml:mi><mml:mo>&#x2264;</mml:mo><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mn>0</mml:mn></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mn>0</mml:mn></mml:mrow></mml:mrow></mml:msub></mml:mrow><mml:mo>&#x2264;</mml:mo><mml:mi>&#x03B5;</mml:mi><mml:mo>&#x2264;</mml:mo><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">u</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math>
</inline-formula></td>
<td><inline-formula id="ieqn-11">
<mml:math id="mml-ieqn-11"><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mi>k</mml:mi><mml:mi>n</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</inline-formula>, <inline-formula id="ieqn-12">
<mml:math id="mml-ieqn-12"><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</inline-formula>, <inline-formula id="ieqn-13">
<mml:math id="mml-ieqn-13"><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mrow><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</inline-formula></td>
</tr>
<tr>
<td>Quadratic function model [<xref ref-type="bibr" rid="ref-48">48</xref>,<xref ref-type="bibr" rid="ref-69">69</xref>]</td>
<td><inline-formula id="ieqn-14">
<mml:math id="mml-ieqn-14"><mml:mi>&#x03C3;</mml:mi><mml:mo>=</mml:mo><mml:mrow><mml:mo>{</mml:mo><mml:mrow><mml:mtable rowspacing="4pt" columnspacing="1em"><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow><mml:mi>&#x03B5;</mml:mi></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mi>a</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x2212;</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow><mml:mo fence="true" stretchy="true" symmetric="true"></mml:mo></mml:mrow><mml:mtable rowspacing="4pt" columnspacing="1em"><mml:mtr><mml:mtd><mml:mrow></mml:mrow></mml:mtd><mml:mtd><mml:mrow></mml:mrow></mml:mtd></mml:mtr></mml:mtable><mml:mtable rowspacing="4pt" columnspacing="1em"><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>0</mml:mn><mml:mo>&#x2264;</mml:mo><mml:mi>&#x03B5;</mml:mi><mml:mo>&#x2264;</mml:mo><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow><mml:mo>&#x2264;</mml:mo><mml:mi>&#x03B5;</mml:mi><mml:mo>&#x2264;</mml:mo><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mn>0</mml:mn></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mn>0</mml:mn></mml:mrow></mml:mrow></mml:msub></mml:mrow><mml:mo>&#x2264;</mml:mo><mml:mi>&#x03B5;</mml:mi><mml:mo>&#x2264;</mml:mo><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">u</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math>
</inline-formula></td>
<td><inline-formula id="ieqn-15">
<mml:math id="mml-ieqn-15"><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mi>k</mml:mi><mml:mi>n</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</inline-formula>, <inline-formula id="ieqn-16">
<mml:math id="mml-ieqn-16"><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</inline-formula>, <inline-formula id="ieqn-17">
<mml:math id="mml-ieqn-17"><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mrow><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</inline-formula></td>
</tr>
<tr>
<td>The 2nd order polynomial [<xref ref-type="bibr" rid="ref-73">73</xref>]</td>
<td><inline-formula id="ieqn-18">
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<td><inline-formula id="ieqn-19">
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</inline-formula><break/><inline-formula id="ieqn-20">
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</inline-formula><break/><inline-formula id="ieqn-21">
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</inline-formula> <inline-formula id="ieqn-22">
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</inline-formula><break/><inline-formula id="ieqn-23">
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</inline-formula><break/><inline-formula id="ieqn-24">
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</inline-formula></td>
</tr>
<tr>
<td>Compound function model [<xref ref-type="bibr" rid="ref-59">59</xref>]</td>
<td><inline-formula id="ieqn-25">
<mml:math id="mml-ieqn-25"><mml:mi>&#x03C3;</mml:mi><mml:mo>=</mml:mo><mml:mrow><mml:mo>{</mml:mo><mml:mrow><mml:mtable rowspacing="4pt" columnspacing="1em"><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow><mml:mi>&#x03B5;</mml:mi></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mi>a</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x2212;</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mn>0.16</mml:mn><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>&#x03B5;</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow><mml:mo fence="true" stretchy="true" symmetric="true"></mml:mo></mml:mrow><mml:mtable rowspacing="4pt" columnspacing="1em"><mml:mtr><mml:mtd><mml:mrow></mml:mrow></mml:mtd><mml:mtd><mml:mrow></mml:mrow></mml:mtd></mml:mtr></mml:mtable><mml:mtable rowspacing="4pt" columnspacing="1em"><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>0</mml:mn><mml:mo>&#x2264;</mml:mo><mml:mi>&#x03B5;</mml:mi><mml:mo>&#x2264;</mml:mo><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow><mml:mo>&#x2264;</mml:mo><mml:mi>&#x03B5;</mml:mi><mml:mo>&#x2264;</mml:mo><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mn>0</mml:mn></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mn>0</mml:mn></mml:mrow></mml:mrow></mml:msub></mml:mrow><mml:mo>&#x2264;</mml:mo><mml:mi>&#x03B5;</mml:mi><mml:mo>&#x2264;</mml:mo><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">u</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math>
</inline-formula></td>
<td><inline-formula id="ieqn-26">
<mml:math id="mml-ieqn-26"><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mi>k</mml:mi><mml:mi>n</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</inline-formula>, <inline-formula id="ieqn-27">
<mml:math id="mml-ieqn-27"><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</inline-formula>, <inline-formula id="ieqn-28">
<mml:math id="mml-ieqn-28"><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mrow><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</inline-formula></td>
</tr>
<tr>
<td>Cubic function model [<xref ref-type="bibr" rid="ref-48">48</xref>]</td>
<td><inline-formula id="ieqn-29">
<mml:math id="mml-ieqn-29"><mml:mtable columnalign="right left" rowspacing=".5em" columnspacing="thickmathspace" displaystyle="true"><mml:mtr><mml:mtd /><mml:mtd><mml:mi>&#x03C3;</mml:mi><mml:mo>=</mml:mo><mml:mrow><mml:mo>{</mml:mo><mml:mrow><mml:mtable rowspacing="4pt" columnspacing="1em"><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow><mml:mi>&#x03B5;</mml:mi></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>+</mml:mo><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow><mml:mo>+</mml:mo><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mn>3</mml:mn></mml:msup></mml:mrow></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow><mml:mo fence="true" stretchy="true" symmetric="true"></mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd /><mml:mtd><mml:mtable rowspacing="4pt" columnspacing="1em"><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>0</mml:mn><mml:mo>&#x2264;</mml:mo><mml:mi>&#x03B5;</mml:mi><mml:mo>&#x2264;</mml:mo><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow><mml:mo>&#x2264;</mml:mo><mml:mi>&#x03B5;</mml:mi><mml:mo>&#x2264;</mml:mo><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mn>0</mml:mn></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mn>0</mml:mn></mml:mrow></mml:mrow></mml:msub></mml:mrow><mml:mo>&#x2264;</mml:mo><mml:mi>&#x03B5;</mml:mi><mml:mo>&#x2264;</mml:mo><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">u</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mtd></mml:mtr></mml:mtable></mml:math>
</inline-formula></td>
<td><inline-formula id="ieqn-30">
<mml:math id="mml-ieqn-30"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mn>2</mml:mn><mml:mi>n</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>k</mml:mi><mml:mi>n</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mo>+</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo>&#x2212;</mml:mo><mml:mi>n</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mn>3</mml:mn></mml:msup></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</inline-formula><break/><inline-formula id="ieqn-31">
<mml:math id="mml-ieqn-31"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mn>2</mml:mn><mml:mi>n</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo>&#x2212;</mml:mo><mml:mn>2</mml:mn><mml:mi>k</mml:mi><mml:mi>n</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>&#x2212;</mml:mo><mml:mi>k</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mn>3</mml:mn></mml:msup></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</inline-formula><break/><inline-formula id="ieqn-32">
<mml:math id="mml-ieqn-32"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mi>k</mml:mi><mml:mi>n</mml:mi><mml:mrow><mml:mo>&#x2212;</mml:mo></mml:mrow><mml:mn>3</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mo>+</mml:mo><mml:mn>2</mml:mn><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mn>3</mml:mn></mml:msup></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</inline-formula><break/><inline-formula id="ieqn-33">
<mml:math id="mml-ieqn-33"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mn>2</mml:mn><mml:mrow><mml:mo>&#x2212;</mml:mo></mml:mrow><mml:mi>k</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mn>3</mml:mn></mml:msup></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</inline-formula><break/><inline-formula id="ieqn-34">
<mml:math id="mml-ieqn-34"><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</inline-formula>, <inline-formula id="ieqn-35">
<mml:math id="mml-ieqn-35"><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03C3;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mrow><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</inline-formula>, <inline-formula id="ieqn-36">
<mml:math id="mml-ieqn-36"><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mrow><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</inline-formula></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="table-5fn1" fn-type="other">
<p>Note: <inline-formula id="ieqn-37">
<mml:math id="mml-ieqn-37"><mml:mi>&#x03C3;</mml:mi></mml:math>
</inline-formula> is the stress value of BS under compression parallel to grain; <inline-formula id="ieqn-38">
<mml:math id="mml-ieqn-38"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math>
</inline-formula> is the modulus of elasticity for BS under compression parallel to grain; <inline-formula id="ieqn-39">
<mml:math id="mml-ieqn-39"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>
</inline-formula> is the secant modulus for peak point (<inline-formula id="ieqn-40">
<mml:math id="mml-ieqn-40"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>
</inline-formula>, <inline-formula id="ieqn-41">
<mml:math id="mml-ieqn-41"><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>
</inline-formula>); <inline-formula id="ieqn-42">
<mml:math id="mml-ieqn-42"><mml:mi>&#x03B5;</mml:mi></mml:math>
</inline-formula> is the strain value of BS; <inline-formula id="ieqn-43">
<mml:math id="mml-ieqn-43"><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math>
</inline-formula> is the strain for the yield point; <inline-formula id="ieqn-44">
<mml:math id="mml-ieqn-44"><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mn>0</mml:mn></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math>
</inline-formula> is the compression peak strain value; <inline-formula id="ieqn-45">
<mml:math id="mml-ieqn-45"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>
</inline-formula> is the compression peak stress value; <inline-formula id="ieqn-46">
<mml:math id="mml-ieqn-46"><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">u</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math>
</inline-formula> is the ultimate compression strain value; <inline-formula id="ieqn-47">
<mml:math id="mml-ieqn-47"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">u</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math>
</inline-formula> is the ultimate compression stress value; <inline-formula id="ieqn-48">
<mml:math id="mml-ieqn-48"><mml:msup><mml:mrow><mml:mi>&#x03C3;</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">&#x2032;</mml:mi></mml:mrow></mml:msup></mml:math>
</inline-formula> is the stress value of BS under compression perpendicular to grain; <inline-formula id="ieqn-49">
<mml:math id="mml-ieqn-49"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">&#x2032;</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math>
</inline-formula> is the modulus of elasticity for BS under compression perpendicular to grain; <inline-formula id="ieqn-50">
<mml:math id="mml-ieqn-50"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">p</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">&#x2032;</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math>
</inline-formula> is the secant modulus for peak point; <inline-formula id="ieqn-51">
<mml:math id="mml-ieqn-51"><mml:msup><mml:mrow><mml:mi>&#x03B5;</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">&#x2032;</mml:mi></mml:mrow></mml:msup></mml:math>
</inline-formula> is the strain value of BS; <inline-formula id="ieqn-52">
<mml:math id="mml-ieqn-52"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>&#x03B5;</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:mrow></mml:mrow><mml:mrow><mml:mi mathvariant="normal">&#x2032;</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math>
</inline-formula> is the strain for the yield point; <inline-formula id="ieqn-53">
<mml:math id="mml-ieqn-53"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>f</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mi mathvariant="normal">y</mml:mi></mml:mrow></mml:mrow><mml:mrow><mml:mi mathvariant="normal">&#x2032;</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math>
</inline-formula> is the stress for the yield point; <inline-formula id="ieqn-54">
<mml:math id="mml-ieqn-54"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>&#x03B5;</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mn>0</mml:mn></mml:mrow></mml:mrow><mml:mrow><mml:mi mathvariant="normal">&#x2032;</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math>
</inline-formula> is the compression peak strain value; <inline-formula id="ieqn-55">
<mml:math id="mml-ieqn-55"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>f</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi><mml:mn>0</mml:mn></mml:mrow></mml:mrow><mml:mrow><mml:mi mathvariant="normal">&#x2032;</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math>
</inline-formula> is the compression peak stress value.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p><xref ref-type="table" rid="table-6">Table 6</xref> shows the comparison of compressive properties between BS and other bamboo or wood materials.</p>
<table-wrap id="table-6"><label>Table 6</label>
<caption>
<title>Comparison of compressive properties</title></caption>
<table><colgroup>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>Material</th>
<th>Species</th>
<th>Size (mm)</th>
<th>Compression &#x2161; (MPa)</th>
<th>Compression &#x22A5; (MPa)</th>
<th>MOE &#x2161; (MPa)</th>
<th>MOE &#x22A5; (MPa)</th>
</tr>
</thead>
<tbody>
<tr>
<td>BS [<xref ref-type="bibr" rid="ref-50">50</xref>,<xref ref-type="bibr" rid="ref-69">69</xref>]</td>
<td>Phyllostachys pubescens</td>
<td>60 &#x00D7; 20 &#x00D7; 20<break/>50 &#x00D7; 50 &#x00D7; 50<break/>100 to 200 &#x00D7; 50 &#x00D7; 50</td>
<td>86&#x2013;102.1</td>
<td>37&#x2013;54.4</td>
<td>13994&#x2013;14222</td>
<td>4285&#x2013;4383</td>
</tr>
<tr>
<td>LBL [<xref ref-type="bibr" rid="ref-94">94</xref>,<xref ref-type="bibr" rid="ref-95">95</xref>]</td>
<td>Phyllostachys pubescens</td>
<td>200 &#x00D7; 50 &#x00D7; 50<break/>300 &#x00D7; 20 &#x00D7; 20<break/>60 &#x00D7; 20 &#x00D7; 20</td>
<td>37.58&#x2013;64.7</td>
<td>&#x2013;</td>
<td>5875.7&#x2013;13379</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Glulam [<xref ref-type="bibr" rid="ref-96">96</xref>]</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
<td>24&#x2013;31</td>
<td>2.7&#x2013;3.6</td>
<td>8600</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>WPC [<xref ref-type="bibr" rid="ref-97">97</xref>]</td>
<td>Pine</td>
<td>60 &#x00D7; 20 &#x00D7; 20</td>
<td>28.1</td>
<td>25.4</td>
<td>3700</td>
<td>1980</td>
</tr>
<tr>
<td>Plywood [<xref ref-type="bibr" rid="ref-98">98</xref>]</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
<td>20.7&#x2013;34.5</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Douglas-fir [<xref ref-type="bibr" rid="ref-99">99</xref>]</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
<td>49.9</td>
<td>5.5</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>In <xref ref-type="table" rid="table-6">Table 6</xref>, LBL represents Laminated Bamboo Lumber which made from bamboo strips as manufacturing units and laminated with adhesive, WPC represents Wood-Plastic Composites.</p>

<p>It can be seen from the table that the compressive strength and MOE of BS are significantly higher than those of other materials. The change of compressive strength of BS can be attributed to the different types of bamboo used in the production of BS and the different density of BS itself.</p>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Bending</title>
<p>The three-point bending and four-point bending test methods are used for the bending specimens of BS. The bending strength parallel to grain of the bending small specimens of BS without special treatment is usually between 100&#x2013;150 mpa, and the failure mode is that the fiber in the tensile area is broken [<xref ref-type="bibr" rid="ref-17">17</xref>,<xref ref-type="bibr" rid="ref-48">48</xref>,<xref ref-type="bibr" rid="ref-58">58</xref>]. The bending properties MOR and MOE of BS increase with density [<xref ref-type="bibr" rid="ref-63">63</xref>].</p>
<p>Taking natural bamboo as the comparison object, it is found that the failure mode of BS shows obvious brittleness, and the bending failure is the result of the joint action of tensile, shear and compressive stress [<xref ref-type="bibr" rid="ref-88">88</xref>]. According to the analysis of the bending load displacement curve of BS, its bending damage is between toughness and brittleness [<xref ref-type="bibr" rid="ref-62">62</xref>,<xref ref-type="bibr" rid="ref-64">64</xref>]. Compared with natural bamboo, the deformability of BS is reduced and the brittleness is increased, which is due to the compression of the cavities of the vessel and parenchymal cells that absorb energy in the manufacturing process [<xref ref-type="bibr" rid="ref-88">88</xref>].</p>
<p>When the length of the specimen is changed, it is found that the bending strength does not change significantly with the increase of the length, while the bending elastic modulus increases with the increase of the length [<xref ref-type="bibr" rid="ref-85">85</xref>].</p>
<p>It was found in the study of the effect of resin content on the bending properties of BS, the change of resin content does not change its damage form [<xref ref-type="bibr" rid="ref-68">68</xref>]. The MOR of BS increases slightly with the increase of resin content, but decreases when the content exceeds 20%, which has a negative impact on the bending properties of BS, and the bending bearing capacity also reaches the maximum at 20%. However, some studies have shown that when the resin content of BS is 15%, its MOR and MOE reach the maximum [<xref ref-type="bibr" rid="ref-61">61</xref>]. The flexural strength increases with the increase of resin content and density, while the flexural modulus is less affected by resin content and increases with the increase of density [<xref ref-type="bibr" rid="ref-84">84</xref>].</p>
<p>Zou et al. [<xref ref-type="bibr" rid="ref-82">82</xref>] studied the effect of moisture content. Although the bending strength of BS showed a downward trend with the increase of moisture content, the fiber fracture degree at failure gradually decreased, and the failure mode showed certain plasticity.</p>
<p>The study on the bending performance of BS with different fiber orientation shows that the bending strength and stiffness decrease with the increase of the included angle between bamboo fiber and neutral axis. Moreover, the failure mode gradually changes from the ductile failure of fiber breaking to the shear brittle failure of bonding interface, and the crack extends rapidly along the interface, resulting in the brittle fracture of the specimen [<xref ref-type="bibr" rid="ref-80">80</xref>]. At the same time, the fiber orientation also greatly affects the impact bending property [<xref ref-type="bibr" rid="ref-86">86</xref>,<xref ref-type="bibr" rid="ref-87">87</xref>].</p>
<p>In engineering, in order to facilitate the transportation of wires and the assembly of structures, it is usually necessary to drill holes. Zhao et al. [<xref ref-type="bibr" rid="ref-81">81</xref>] drilled holes in different positions and sizes of bending small specimens of BS to study and compare their bending properties. The results show that drilling reduces the bearing capacity and bending properties of the specimen, and the larger the hole diameter is, the more obvious the reduction is. At the same time, due to drilling, there are two basic failure modes of bending small specimens-shear failure along the fiber direction and bottom fracture failure caused by bending moment.</p>
<p>FRP is a lightweight and high-strength material with excellent reinforcing properties. The mechanical properties of the material reinforced with FRP are generally significantly improved [<xref ref-type="bibr" rid="ref-100">100</xref>&#x2013;<xref ref-type="bibr" rid="ref-102">102</xref>]. In order to solve the problem of low bending strength and stiffness of BS, Wu et al. [<xref ref-type="bibr" rid="ref-83">83</xref>] studied the CFRP-BS composite beam. It is found that the CFRP sheet effectively improves the bending modulus and static bending strength of the composite beam, and the failure mode is no longer the fracture failure of the bottom fiber, but the bond failure between CFRP and BS. However, the research of Liu et al. [<xref ref-type="bibr" rid="ref-78">78</xref>] shows that the failure modes of CFRP-BS composite beams are divided into four types under different conditions: CFRP &#x2018;flowering&#x2019; fracture failure, gradual peeling failure of the adhesive layer, instantaneous peeling failure of the adhesive layer and fracture failure of BS.</p>
<p>The BS beam can obtain greater bearing capacity and deflection under the same shear span ratio by means of bamboo pin reinforcement, and increasing the spacing of bamboo pins can improve the bearing capacity and stiffness of the reinforced beam. At the same time, as the load continues to increase, the failure of the epoxy resin adhesive layer in the hole leads to an increase in slip, which generally increases linearly. After parallel-to-grain shear failure, the load-slip increases nonlinearly and the slip increases significantly [<xref ref-type="bibr" rid="ref-79">79</xref>].</p>
<p><xref ref-type="table" rid="table-7">Table 7</xref> shows the comparison of mechanical properties of BS with other bamboo and wood materials under bending conditions.</p>
<table-wrap id="table-7"><label>Table 7</label>
<caption>
<title>Comparison of bending properties</title></caption>
<table><colgroup>
<col/>
<col/>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>Material</th>
<th>Species</th>
<th>Size (mm)</th>
<th>Bending (MPa)</th>
<th>MOE (MPa)</th>
</tr>
</thead>
<tbody>
<tr>
<td>BS [<xref ref-type="bibr" rid="ref-20">20</xref>,<xref ref-type="bibr" rid="ref-50">50</xref>]</td>
<td>Phyllostachys pubescens</td>
<td>800 &#x00D7; 40 &#x00D7; 40</td>
<td>81.6&#x2013;125.44</td>
<td>11341&#x2013;16310</td>
</tr>
<tr>
<td>LBL [<xref ref-type="bibr" rid="ref-94">94</xref>]</td>
<td>Phyllostachys pubescens</td>
<td>760 &#x00D7; 50 &#x00D7; 50</td>
<td>98&#x2013;126.3</td>
<td>7955&#x2013;11190</td>
</tr>
<tr>
<td>LLBC [<xref ref-type="bibr" rid="ref-98">98</xref>,<xref ref-type="bibr" rid="ref-103">103</xref>]</td>
<td>Dendrocalamus<break/>strictus</td>
<td>250 &#x00D7; 16 &#x00D7; 10</td>
<td>100.8</td>
<td>12420</td>
</tr>
<tr>
<td>LVL [<xref ref-type="bibr" rid="ref-99">99</xref>]</td>
<td>Douglas-fir</td>
<td>&#x2013;</td>
<td>54.2&#x2013;71.7</td>
<td>15400&#x2013;19300</td>
</tr>
<tr>
<td>Glulam [<xref ref-type="bibr" rid="ref-104">104</xref>]</td>
<td>Douglas-fir</td>
<td>&#x2013;</td>
<td>48.74</td>
<td>15370</td>
</tr>
<tr>
<td>WPC [<xref ref-type="bibr" rid="ref-97">97</xref>]</td>
<td>Pine</td>
<td>67 &#x00D7; 10 &#x00D7; 4</td>
<td>26.1</td>
<td>4100</td>
</tr>
<tr>
<td>Plywood [<xref ref-type="bibr" rid="ref-99">99</xref>]</td>
<td>Redwood</td>
<td>&#x2013;</td>
<td>33.72&#x2013;42.61</td>
<td>6960&#x2013;8550</td>
</tr>
<tr>
<td>Douglas-fir [<xref ref-type="bibr" rid="ref-99">99</xref>]</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
<td>85</td>
<td>13400</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>In <xref ref-type="table" rid="table-7">Table 7</xref>, LLBC represents Layered Laminate Bamboo Composite which made from thinner and shorter bamboo strips than LBL by laminating with more adhesive, LVL represents Laminated Veneer Lumber which made from wood and adhesive by hot pressing.</p>

<p>It can be seen that the bending strength of BS can be comparable with other bamboo-based materials (such as LBL and LLBC) and wood (such as Douglas fir). At the same time, the bending strength of BS is significantly better than LVL, Glulam, WPC and plywood. The change of bending strength of BS may be related to density, adhesive and bamboo species.</p>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Tension</title>
<p>When studying the tensile properties of BS, the specimen is usually prepared into bone shape. During the tensile test parallel to grain, the failure form of the tensile specimen is that part of the fiber is first broken under the load, and then the crack develops rapidly, forming a fracture surface in a short time, and finally the specimen is completely destroyed. The fracture surface is irregular in most cases. Only when the fiber distribution of the sample is uniform, the fracture surface is flat and almost perpendicular to the fiber [<xref ref-type="bibr" rid="ref-48">48</xref>,<xref ref-type="bibr" rid="ref-58">58</xref>,<xref ref-type="bibr" rid="ref-59">59</xref>,<xref ref-type="bibr" rid="ref-62">62</xref>,<xref ref-type="bibr" rid="ref-64">64</xref>,<xref ref-type="bibr" rid="ref-73">73</xref>].</p>
<p>The tensile strength parallel to grain of BS is generally between 100&#x2013;250 MPa due to the type of original bamboo and manufacturing technology [<xref ref-type="bibr" rid="ref-21">21</xref>,<xref ref-type="bibr" rid="ref-46">46</xref>,<xref ref-type="bibr" rid="ref-48">48</xref>]. However, it should be noted that the tensile strength perpendicular to grain of BS is about 40 times lower than that parallel to grain, and the location of cracks changes during failure. Cracks are produced through the bamboo itself rather than simply through the adhesive [<xref ref-type="bibr" rid="ref-20">20</xref>,<xref ref-type="bibr" rid="ref-50">50</xref>].</p>
<p>The stress-strain curve of tension parallel to grain increases linearly and has a certain discreteness. But the stress-strain curve of transverse tension has a nonlinear stage, and it has greater discreteness than that of longitudinal tension (as shown in <xref ref-type="fig" rid="fig-8">Fig. 8</xref>) [<xref ref-type="bibr" rid="ref-48">48</xref>].</p>
<fig id="fig-8">
<label>Figure 8</label>
<caption>
<title>Tensile stress-strain curves: (a) parallel to grain, (b) perpendicular to grain. Adapted with permission from [<xref ref-type="bibr" rid="ref-48">48</xref>], Copyright &#x00A9; 2020, Tech Science Press</title></caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JRM_29602-fig-8.tif"/>
</fig>
<p>It is worth noting that the tensile failure parallel to grain of carbonized BS shows brittleness, and the tensile strength and elastic modulus parallel to grain of carbonized BS are less than those of non-carbonized one [<xref ref-type="bibr" rid="ref-47">47</xref>]. The tensile creep behavior of BS shows brittle fracture under high load (60% ultimate strength), while at low load (lower than 40% ultimate strength), the creep deformation of BS develops rapidly in the early stage and remains stable in the middle and late stage. The load level has a significant impact on the overall creep deformation and the proportion of creep deformation [<xref ref-type="bibr" rid="ref-53">53</xref>].</p>
<p>BS with different densities were tested according to the standard &#x010C;SN 490113 and &#x010C;SN 490114 carries out tensile tests parallel and perpendicular to grain (as shown in <xref ref-type="fig" rid="fig-9">Fig. 9</xref>). The results show that the tensile strength increases with the increase of density, and the tensile strength parallel to grain is always 20&#x2013;30 times that of perpendicular to grain [<xref ref-type="bibr" rid="ref-55">55</xref>].</p>
<fig id="fig-9">
<label>Figure 9</label>
<caption>
<title>Perpendicular tensile test. Adapted with permission from [<xref ref-type="bibr" rid="ref-55">55</xref>], Copyright &#x00A9; 2016, Elsevier B. V</title></caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JRM_29602-fig-9.tif"/>
</fig>
<p>The long-term performance of the material is related to its own application value, so the long-term tensile behavior of BS is worth studying. In the long-term tensile test of BS, it is found that the load duration in the transverse direction of BS is less than that in the longitudinal direction. The relationship between the stress ratio and the failure time in the transverse direction is close to the Madison curve, while the longitudinal direction is concave trend curve. The empirical Findley model can well fit the absolute creep strain-time curves in both directions [<xref ref-type="bibr" rid="ref-90">90</xref>,<xref ref-type="bibr" rid="ref-91">91</xref>].</p>
<p>Wang et al. [<xref ref-type="bibr" rid="ref-89">89</xref>] studied the tensile properties of BS under different strain rates, and conducted impact tensile test with split Hopkinson tensile bar. It is found that the ultimate tensile strength increases with the increase of strain rate; In addition, no matter static tensile test or impact tensile test, the failure forms of BS are I-shaped fracture and Z-shaped fracture when tension parallel to grain, and flat fracture when tension perpendicular to grain. At the same time, the fracture surface of the specimen was observed by electron microscope to study its failure mechanism. It is found that for the tensile failure parallel to grain, the failure process can be considered as three processes: matrix fracture, interface fracture and fiber fracture. For tensile failure perpendicular to grain, the damage is mainly caused by interface fracture. The pore on the cemented surface is the root of the initial crack. Because the fiber is not affected by force, the crack expands along the interface and finally the specimen breaks (<xref ref-type="fig" rid="fig-10">Fig. 10</xref> is the Scanning Electron Microscope (SEM) observation).</p>
<fig id="fig-10">
<label>Figure 10</label>
<caption>
<title>Typical SEM observation of (a) quasi-static longitudinal, (b) impact longitudinal, (c) quasi-static transverse and (d) impact transverse BS samples. Adapted with permission from [<xref ref-type="bibr" rid="ref-89">89</xref>], Copyright &#x00A9; 2021, Elsevier B. V</title></caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JRM_29602-fig-10.tif"/>
</fig>
<p>According to the research of Xu et al. [<xref ref-type="bibr" rid="ref-72">72</xref>], when the temperature is between 20&#x00B0;C&#x2013;180&#x00B0;C, the tensile strength and modulus of BS decrease with the increase of temperature, but when the temperature rises to 200&#x00B0;C, the tensile strength and modulus parallel to grain of BS first rise and then continue to decline, while the tensile strength and modulus perpendicular to grain of BS decrease to 0 when the temperature rises to 200&#x00B0;C and above. Moreover, the tensile failure forms parallel to grain of BS are divided into I-shape and Z-shape, but the I-shaped fracture mainly occurs in the tensile fracture at the temperature above 180&#x00B0;C, while the failure form of tension perpendicular to grain is I-shaped failure at any temperature.</p>
<p><xref ref-type="table" rid="table-8">Table 8</xref> shows the comparison of mechanical properties between BS and other bamboo and wood materials under tensile conditions.</p>
<table-wrap id="table-8"><label>Table 8</label>
<caption>
<title>Comparison of tensile properties</title></caption>
<table><colgroup>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>Material</th>
<th>Species</th>
<th>Size/mm</th>
<th>Tension &#x2161; (MPa)</th>
<th>Tension &#x22A5; (MPa)</th>
<th>MOE &#x2161; (MPa)</th>
<th>MOE &#x22A5; (MPa)</th>
</tr>
</thead>
<tbody>
<tr>
<td>BS [<xref ref-type="bibr" rid="ref-50">50</xref>,<xref ref-type="bibr" rid="ref-73">73</xref>]</td>
<td>Phyllostachys pubescens</td>
<td>460 &#x00D7; 25 &#x00D7; 25<break/>62 &#x00D7; 50 &#x00D7; 50<break/>250 &#x00D7; 19 &#x00D7; 7 to 8<break/>453 &#x00D7; 25 &#x00D7; 5<break/>57 &#x00D7; 50</td>
<td>118.4&#x2013;138</td>
<td>3&#x2013;4.43</td>
<td>10296&#x2013;13680</td>
<td>3066</td>
</tr>
<tr>
<td>LBL [<xref ref-type="bibr" rid="ref-50">50</xref>,<xref ref-type="bibr" rid="ref-94">94</xref>]</td>
<td>Phyllostachys pubescens</td>
<td>460 &#x00D7; 25 &#x00D7; 25<break/>62 &#x00D7; 50 &#x00D7; 50<break/>453 &#x00D7; 50 &#x00D7; 25</td>
<td>90&#x2013;125.9</td>
<td>2</td>
<td>9663&#x2013;12476</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>LLBC [<xref ref-type="bibr" rid="ref-98">98</xref>,<xref ref-type="bibr" rid="ref-103">103</xref>]</td>
<td>Dendrocalamus<break/>strictus</td>
<td>250 &#x00D7; 16 &#x00D7; 10<break/>200 &#x00D7; 15 &#x00D7; 1.5</td>
<td>187.3</td>
<td>&#x2013;</td>
<td>14900</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>LVL [<xref ref-type="bibr" rid="ref-94">94</xref>,<xref ref-type="bibr" rid="ref-105">105</xref>]</td>
<td>Douglas-fir</td>
<td>&#x2013;</td>
<td>88.5</td>
<td>0.83</td>
<td>13790</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Glulam [<xref ref-type="bibr" rid="ref-96">96</xref>]</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
<td>16.5&#x2013;26</td>
<td>0.4&#x2013;0.6</td>
<td>9400&#x2013;11900</td>
<td>390&#x2013;490</td>
</tr>
<tr>
<td>WPC [<xref ref-type="bibr" rid="ref-97">97</xref>]</td>
<td>Pine</td>
<td>&#x2013;</td>
<td>11.6</td>
<td>5.3</td>
<td>3000</td>
<td>1500</td>
</tr>
<tr>
<td>Plywood [<xref ref-type="bibr" rid="ref-98">98</xref>]</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
<td>10.3&#x2013;27.6</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Douglas-fir [<xref ref-type="bibr" rid="ref-99">99</xref>]</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
<td>107.6</td>
<td>2.3</td>
<td>11.6&#x2013;14.8</td>
<td>&#x2013;</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>It can be seen that the tensile strength parallel to grain and MOE of BS are similar to LBL, higher than other materials, but lower than LLBC. In terms of tensile strength perpendicular to grain, the tensile strength of BS can be comparable to that of WPC and Douglas fir, surpassing that of wood-based materials such as LVL and Glulam.</p>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Shear</title>
<p>It can be seen from relevant researches [<xref ref-type="bibr" rid="ref-50">50</xref>,<xref ref-type="bibr" rid="ref-55">55</xref>,<xref ref-type="bibr" rid="ref-58">58</xref>,<xref ref-type="bibr" rid="ref-64">64</xref>] that the failure surface of BS is rough during the shear failure parallel to the grain, the shear strength parallel to the grain is between 10&#x2013;20 Mpa, and the shear strength increases with the increase of the density of BS [<xref ref-type="bibr" rid="ref-63">63</xref>].</p>
<p>Yu et al. [<xref ref-type="bibr" rid="ref-84">84</xref>] studied the shear strength of BS with different resin content and density. The results showed that the shear strength increased with the increase of resin content and density. However, according to literature [<xref ref-type="bibr" rid="ref-63">63</xref>,<xref ref-type="bibr" rid="ref-88">88</xref>,<xref ref-type="bibr" rid="ref-89">89</xref>], the test results show that increasing the resin content has no obvious effect on the shear strength of BS.</p>
<p>In the shear test of BS in different fiber directions with reference to ASTM D7078, it is found that the failure modes of shear parallel to grain and in transverse-to-grain-plane are almost the same, both of which are a crack, tear the specimen into two halves symmetrically, and the stress-strain curve is approximately linear. In transverse shear, the shear action is basically caused by the tension of the fiber in the notch range. Cracks along the fiber direction can be observed, but the specimen is still a whole, and the stress-strain curve is nonlinear [<xref ref-type="bibr" rid="ref-62">62</xref>,<xref ref-type="bibr" rid="ref-73">73</xref>]. The failure modes and stress-strain curves are shown in <xref ref-type="fig" rid="fig-11">Fig. 11</xref>.</p>
<fig id="fig-11">
<label>Figure 11</label>
<caption>
<title>Stress&#x2013;strain relationship and failure mode of shear: (a) parallel to grain, (b) perpendicular to grain, (c) in transverse-to-grain-plane. Adapted with permission from [<xref ref-type="bibr" rid="ref-73">73</xref>], Copyright &#x00A9; 2014, Elsevier B. V</title></caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JRM_29602-fig-11.tif"/>
</fig>
<p>Yang et al. [<xref ref-type="bibr" rid="ref-74">74</xref>] compared the shear properties perpendicular to grain of BFRP-BS and ordinary BS. It is found that for ordinary BS cracks appear along the fiber direction at the notch and develop longitudinally, then the longitudinal cracks change into transverse cracks, and finally fail with the expansion of cracks. The failure of BFRP-BS is caused by the fracture of BFRP material in the notch, and BFRP can enhance the shear strength of BS to a certain extent. The failure modes are shown in <xref ref-type="fig" rid="fig-12">Fig. 12</xref>.</p>
<fig id="fig-12">
<label>Figure 12</label>
<caption>
<title>Shear strength of BS with different resin content and density. Adapted with permission from [<xref ref-type="bibr" rid="ref-74">74</xref>], Copyright &#x00A9; 2020, Elsevier B. V</title></caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JRM_29602-fig-12.tif"/>
</fig>
<p><xref ref-type="table" rid="table-9">Table 9</xref> shows the comparison of mechanical properties between BS and other bamboo and wood materials under shear conditions.</p>
<table-wrap id="table-9"><label>Table 9</label>
<caption>
<title>Comparison of tensile properties</title></caption>
<table><colgroup>
<col/>
<col/>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>Material</th>
<th>Species</th>
<th>Size (mm)</th>
<th>Shear &#x2161; (MPa)</th>
<th>Shear &#x22A5; (MPa)</th>
</tr>
</thead>
<tbody>
<tr>
<td>BS [<xref ref-type="bibr" rid="ref-50">50</xref>,<xref ref-type="bibr" rid="ref-55">55</xref>,<xref ref-type="bibr" rid="ref-73">73</xref>]</td>
<td>Phyllostachys pubescens</td>
<td>50 &#x00D7; 50 &#x00D7; 50<break/>50 &#x00D7; 40 &#x00D7; 20<break/>76 &#x00D7; 56</td>
<td>8.21&#x2013;17</td>
<td>23.44</td>
</tr>
<tr>
<td>LBL [<xref ref-type="bibr" rid="ref-103">103</xref>,<xref ref-type="bibr" rid="ref-106">106</xref>]</td>
<td>Phyllostachys pubescens</td>
<td>62 &#x00D7; 50 &#x00D7; 50<break/>50 &#x00D7; 50 &#x00D7; 17</td>
<td>7.15&#x2013;17.5</td>
<td>&#x2013;</td>
</tr>
<tr>
<td>Glubam [<xref ref-type="bibr" rid="ref-107">107</xref>]</td>
<td>&#x2013;</td>
<td>50 &#x00D7; 50 &#x00D7; 40</td>
<td>16.9</td>
<td>17.5</td>
</tr>
<tr>
<td>LVL [<xref ref-type="bibr" rid="ref-108">108</xref>]</td>
<td>lodgepole pine</td>
<td>64 &#x00D7; 51 &#x00D7; 38<break/>64 &#x00D7; 51 &#x00D7; 38</td>
<td>4.9&#x2013;5.0</td>
<td>6.5&#x2013;6.8</td>
</tr>
<tr>
<td>WPC [<xref ref-type="bibr" rid="ref-97">97</xref>]</td>
<td>Pine</td>
<td>&#x2013;</td>
<td>8.1</td>
<td>7.1</td>
</tr>
<tr>
<td>Douglas-fir [<xref ref-type="bibr" rid="ref-99">99</xref>]</td>
<td>&#x2013;</td>
<td>&#x2013;</td>
<td>7.8</td>
<td>&#x2013;</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>It can be seen that compared with bamboo-based and wood-based materials such as LBL, LVL, WPC and Douglas fir, BS has similar or even higher shear strength, and the shear strength perpendicular to grain is better.</p>
</sec>
</sec>
<sec id="s4">
<label>4</label>
<title>Discussion</title>
<p>BS and LBL are both popular engineering bamboo materials at present, with their own advantages and disadvantages. In terms of mechanical properties, BS is better than LBL. LBL is made by veneering bamboo slices. The existence of bamboo nodes will have different effects on the mechanical properties. For BS, because the bamboo strips have been fully defibered during the manufacture, there will be no problem of the influence of bamboo nodes [<xref ref-type="bibr" rid="ref-48">48</xref>,<xref ref-type="bibr" rid="ref-109">109</xref>]. However, BS is not widely used in buildings because it contains a large amount of glue and emits a strong odor. On the contrary, LBL has no such limitation because it contains less glue.</p>
<p>As a wood-like material made of bamboo, BS has better mechanical properties than many real Wood. Taking Larix gmelini and Sitka spruce as examples, BS is obviously better in the tensile and compressive strength parallel to grain and the bending strength [<xref ref-type="bibr" rid="ref-50">50</xref>,<xref ref-type="bibr" rid="ref-110">110</xref>,<xref ref-type="bibr" rid="ref-111">111</xref>]. However, whether the performance on the connecting joint can be comparable to that of wood remains to be further studied.</p>
<p>In terms of production, although the impact of BS on the environment is relatively low compared with traditional building materials, due to the use of adhesives and power equipment, the production of BS consumes more energy and produces more emissions compared with wood materials. Therefore, this requires the development of new cost-saving and low energy consumption manufacturing technologies, such as the improvement of adhesives and production equipment and the improvement of automation.</p>
<p>In terms of use, currently, BS is mainly used in the field of decoration and furniture, with few examples as building materials. This is related to its cost and its own peculiar smell, as well as the lack of a standard system as complete as wood. However, the lack of practical examples in turn leads to the difficulty in formulating the corresponding standard for BS. In this regard, the design, construction, management and other work processes of BS structure can be digitized and the structural stress analysis can be carried out through computer software.</p>
</sec>
<sec id="s5">
<label>5</label>
<title>Conclusion</title>
<p>This review summarizes the mechanical properties of BS under different loading modes. According to the literature review, the bamboo species used in the production of BS are mainly Neosinocalamus affinis and Phyllostachys pubescens. However, whether other bamboo species can be better applied to BS production remains to be studied.</p>
<p>According to the results of the literature review, the strength change of BS is affected by factors such as original bamboo type, growth position, resin content, treatment method, and density. Therefore, different production processes can be adopted according to different requirements, and BS can also be classified accordingly. The classification and standardization of BS will help practitioners around the world consider bamboo species, adhesive types, processing methods and strength to select the grade required for BS materials, so as to achieve the expected purpose.</p>
<p>Due to the gradual increase of research on the mechanical properties of BS, there is sufficient basis to form corresponding test standards for the mechanical properties of BS so as to promote the development and application of BS.</p>
<p>So far, there is not much construction and research on BS buildings. Therefore, the performance of BS in the overall building is not clear, which needs simulation research with the help of finite element or 3D-printing technology.</p>
<p>It may be an interesting direction in the future to apply artificial neural networks and topology optimization to the performance analysis and research of BS.</p>
</sec>
</body>
<back>
<ack>
<p>The writers gratefully acknowledge Yue Chen, Xing Guo, Bingyu Jan, Tingting Ling, Yukun Tian, Wei Xu, Dong Yang, Wenjing Zhou, Lincai Ge and others from the Nanjing Forestry University.</p>
</ack>
<sec>
<title>Funding Statement</title>
<p>This work was supported by the National Natural Science Foundation of China (Nos. 51878354 &#x0026; 51308301); the Natural Science Foundation of Jiangsu Province (Nos. BK20181402 &#x0026; BK20130978); 333 Talent High-Level Project of Jiangsu Province; Qinglan Project of Jiangsu Higher Education Institutions; and the Ministry of Housing and Urban-Rural Science Project of Jiangsu Province under Grant (No. 2021ZD10). Any research results expressed in this paper are those of the writer(s) and do not necessarily reflect the views of the foundations.</p>
</sec>
<sec>
<title>Author Contributions</title>
<p>Data collection: Xin Xue, Haitao Li, Rodolfo Lorenzo; analysis and interpretation of results: Xin Xue, Haitao Li; draft manuscript preparation: Xin Xue, Haitao Li.</p>
</sec>
<sec sec-type="data-availability">
<title>Availability of Data and Materials</title>
<p>Data availability is not applicable to this article as no new data were created or analyzed in this study.</p>
</sec>
<sec sec-type="COI-statement">
<title>Conflicts of Interest</title>
<p>The authors declare that they have no conflicts of interest to report regarding the present study.</p>
</sec>
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