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<front>
<journal-meta>
<journal-id journal-id-type="pmc">CMC</journal-id>
<journal-id journal-id-type="nlm-ta">CMC</journal-id>
<journal-id journal-id-type="publisher-id">CMC</journal-id>
<journal-title-group>
<journal-title>Computers, Materials &#x0026; Continua</journal-title>
</journal-title-group>
<issn pub-type="epub">1546-2226</issn>
<issn pub-type="ppub">1546-2218</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">66129</article-id>
<article-id pub-id-type="doi">10.32604/cmc.2025.066129</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Article</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Ultrasonic Welding of Similar/Dissimilar MEX-3D Printed Parts Considering Energy Director Shape, Infill, Welding Time and Amplitude</article-title>
<alt-title alt-title-type="left-running-head">Ultrasonic Welding of Similar/Dissimilar MEX-3D Printed Parts Considering Energy Director Shape, Infill, Welding Time and Amplitude</alt-title>
<alt-title alt-title-type="right-running-head">Ultrasonic Welding of Similar/Dissimilar MEX-3D Printed Parts Considering Energy Director Shape, Infill, Welding Time and Amplitude</alt-title>
</title-group>
<contrib-group>
<contrib id="author-1" contrib-type="author" corresp="yes">
<name name-style="western"><surname>Tiwary</surname><given-names>Vivek Kumar</given-names></name><xref ref-type="aff" rid="aff-1">1</xref><email>vgtiwary@git.edu</email></contrib>
<contrib id="author-2" contrib-type="author">
<name name-style="western"><surname>P.</surname><given-names>Arunkumar</given-names></name><xref ref-type="aff" rid="aff-1">1</xref></contrib>
<contrib id="author-3" contrib-type="author">
<name name-style="western"><surname>Malik</surname><given-names>Vinayak R.</given-names></name><xref ref-type="aff" rid="aff-1">1</xref><xref ref-type="aff" rid="aff-2">2</xref></contrib>
<aff id="aff-1"><label>1</label><institution>Department of Mechanical Engineering, KLS Gogte Institute of Technology</institution>, Belagavi, <addr-line>590008</addr-line>, <country>India</country></aff>
<aff id="aff-2"><label>2</label><institution>Indian Institute of Science Campus (IISc Bangalore)</institution>, Bangalore, <addr-line>560012</addr-line>, <country>India</country></aff>
</contrib-group>
<author-notes>
<corresp id="cor1"><label>&#x002A;</label>Corresponding Author: Vivek Kumar Tiwary. Email: <email>vgtiwary@git.edu</email></corresp>
</author-notes>
<pub-date date-type="collection" publication-format="electronic">
<year>2025</year>
</pub-date>
<pub-date date-type="pub" publication-format="electronic">
<day>30</day><month>07</month><year>2025</year>
</pub-date>
<volume>84</volume>
<issue>3</issue>
<fpage>5111</fpage>
<lpage>5131</lpage>
<history>
<date date-type="received">
<day>30</day>
<month>3</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>13</day>
<month>6</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>&#x00A9; 2025 The Authors.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Published by Tech Science Press.</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_CMC_66129.pdf"></self-uri>
<abstract>
<p>Additive manufacturing (AM), a key technology in the evolution of Industry 4.0, has revolutionized production processes by enabling the precise, layer-by-layer fabrication of complex and customized components, enhancing efficiency and flexibility in smart manufacturing systems. However, one significant challenge hindering the acceptance of this technology is the limited print size, constrained by the machine&#x2019;s small bed. To address this issue, a suitable polymer joining technique could be applied as a post-fabrication step. The present article examines findings on the Ultrasonic Welding (UW) of Material Extrusion (MEX)-3D printed parts made from commonly used thermoplastics, Acrylonitrile Butadiene Styrene (ABS) and Polylactic Acid (PLA). Key parameters in the process are identified and optimized through statistical methods, such as Design of Experiments (DOE), Taguchi, and Analysis of Variance (ANOVA). The findings showed that the material combination and the design of the energy directors had the greatest impact on the joint strength and elongation, leading to a joint efficiency increase of up to 174.52%. The research&#x2019;s feasibility was additionally supported by applying the results to weld and fabricate a car&#x2019;s rear wing and an agricultural drone, both of which demonstrated strong structural integrity. The proposed method is anticipated to increase acceptance of joining and welding techniques in the future, with UW showing significant potential for effectively joining 3D-printed parts and addressing the bed size limitations of 3D printers.</p>
</abstract>
<kwd-group kwd-group-type="author">
<kwd>Ultrasonic welding</kwd>
<kwd>energy directors</kwd>
<kwd>3D printing</kwd>
<kwd>bed size limitation</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<label>1</label>
<title>Introduction</title>
<p>Additive manufacturing (AM) or 3D Printing (3DP) is a comparatively new fabrication technology that has a number of benefits, including reduced wastages, easier customization, and shorter lead times [<xref ref-type="bibr" rid="ref-1">1</xref>]. This approach, which is frequently referred to as &#x201C;Art to Part&#x201D; technology, is regarded as a platform that quickly transforms digital models into physical parts [<xref ref-type="bibr" rid="ref-2">2</xref>]. The additive manufacturing (AM) market is projected to grow at a compound annual growth rate (CAGR) of 23.6%, increasing from USD 27.52 billion in 2024 to an estimated USD 150.20 billion by 2032 [<xref ref-type="bibr" rid="ref-3">3</xref>]. As the interest in AM grows, several sectors, including aerospace, automotive, medical, tooling, energy, natural resources, consumer and defence are incorporating it into their products and services. AM can be categorized based on its core technologies, which include MEX, Binder Jetting, Material Jetting, Vat Photopolymerization, Directed Energy Deposition, Sheet Lamination, and Powder Bed Fusion [<xref ref-type="bibr" rid="ref-4">4</xref>]. MEX, one of the seven major types of AM previously described, commands the largest market share because of its simplicity in manufacturing and usage, broad material acceptance as well as cheap machine cost [<xref ref-type="bibr" rid="ref-5">5</xref>].</p>
<p>Despite widespread enthusiasm, several obstacles still prevent this technology from reaching its full potential. Inconsistent standards, proprietary patents, and ongoing mechanical issues continue to limit the practical uses of MEX printing [<xref ref-type="bibr" rid="ref-6">6</xref>]. While issues like low mechanical strength of the parts, long printing time, anisotropy, low build volume, inferior surface quality and dimensional inaccuracies can be a source of frustration for the &#x201C;makers&#x201D;, investors and entrepreneurs, these obstacles also represent a wide opportunity for researchers and traditional manufacturing industries [<xref ref-type="bibr" rid="ref-7">7</xref>&#x2013;<xref ref-type="bibr" rid="ref-9">9</xref>].</p>
<p>A detailed examination of the MEX-3D printing market reveals that the most popular machines among enthusiasts have a bed volume of 230 mm<sup>3</sup> [<xref ref-type="bibr" rid="ref-10">10</xref>&#x2013;<xref ref-type="bibr" rid="ref-12">12</xref>]. If anything needs to be printed larger than the given bed size, a solution is to purchase an industrial printer with a 500 mm<sup>3</sup> capacity, though this will result in the cost and power consumption increasing fourfold [<xref ref-type="bibr" rid="ref-13">13</xref>]. Furthermore, the challenges endured when printing larger sections are typically greater than those faced when using a smaller MEX printer.</p>
<p>An alternative approach to address this problem could involve using a post-processing joining technique, which would allow the parts to be assembled into a larger, more complex final 3D-printed component [<xref ref-type="bibr" rid="ref-14">14</xref>,<xref ref-type="bibr" rid="ref-15">15</xref>]. The joining methods used for MEX 3D printed parts fall into four categories: Mechanical interlocking, Adhesive bonding, Fastening and Welding which includes FSW, FSSW, SFW, UW, MW, Laser welding, etc. [<xref ref-type="bibr" rid="ref-16">16</xref>].</p>
<p>As the use of MEX 3D-printed components is rapidly expanding for both load bearing and primary structural applications, the need for an effective joining method is also increasing [<xref ref-type="bibr" rid="ref-17">17</xref>]. UW, belonging to the cluster of friction-welding techniques, is a crucial and widely used technique for bonding plastic and metal components, with growing applications across diverse industries [<xref ref-type="bibr" rid="ref-18">18</xref>]. This method generates heat by converting high-frequency mechanical vibrations into thermal energy through a combination of contact surface friction and intermolecular friction [<xref ref-type="bibr" rid="ref-19">19</xref>]. UW is highly favoured in industries because of its rapid cycle time (&#x007E;1 s), higher energy efficiency, ease of automation as well as the ability to produce high-strength joints without the need for additional adhesives or mechanical fasteners [<xref ref-type="bibr" rid="ref-20">20</xref>]. A broad spectrum of industrial and commercial uses, such as aerosol containers, butane fuel canisters, vacuum and pressure valves, pump impellers, electrical switches, floats, and conveyer components, are commonly assembled using UW [<xref ref-type="bibr" rid="ref-21">21</xref>&#x2013;<xref ref-type="bibr" rid="ref-24">24</xref>].</p>
<p>UW of thermoplastics is a high-frequency welding process that utilizes ultrasonic acoustic vibrations to create solid-state welds between thermoplastic materials [<xref ref-type="bibr" rid="ref-25">25</xref>]. The process involves the conversion of high-frequency electrical energy into mechanical vibrations by a piezoelectric transducer. These vibrations, typically ranging from 20 to 40 kHz, are transmitted through a booster and a sonotrode (horn) to the positioned and aligned thermoplastic workpieces clamped under pressure [<xref ref-type="bibr" rid="ref-18">18</xref>,<xref ref-type="bibr" rid="ref-26">26</xref>,<xref ref-type="bibr" rid="ref-27">27</xref>]. The mechanical vibrations generate frictional heat at the interface of the workpieces, causing the thermoplastic material to soften and melt [<xref ref-type="bibr" rid="ref-21">21</xref>,<xref ref-type="bibr" rid="ref-28">28</xref>]. Upon the termination of the ultrasonic energy, the molten material solidifies under continued pressure, resulting in a strong, homogenous weld [<xref ref-type="bibr" rid="ref-29">29</xref>]. The efficiency of the process is shaped by several parameters like the amplitude of vibrations, welding time, pressure applied, shape of energy directors and the specific material properties of the thermoplastics being welded [<xref ref-type="bibr" rid="ref-30">30</xref>,<xref ref-type="bibr" rid="ref-31">31</xref>].</p>
<p>A literature review aimed at assessing the research on UW of metals and polymers demonstrated that while this joining technique has been comprehensively deliberated for metals, there is a noticeable gap in investigations concerning the welding of polymers and AM components. Parmar and Pandya [<xref ref-type="bibr" rid="ref-32">32</xref>] conducted one of the earliest studies on UW of ABS plastics, focusing on optimizing parameters such as welding time, pressure, and amplitude to achieve strong and dependable joints. The study found that welding strength primarily depends on the amplitude, subsequently by the amount of weld pressure and time. Fernandez Villegas et al. [<xref ref-type="bibr" rid="ref-33">33</xref>] highlighted how flat energy directors can improve weld strength and efficiency compared to traditional designs. The study offers important identifications into optimizing ultrasonic welding parameters for carbon fibre-reinforced Polyphenylene Sulfide composites, suggesting that the choice of energy director significantly impacts joint performance. Villegas and Bersee [<xref ref-type="bibr" rid="ref-19">19</xref>] conducted a detailed study on UW, examining the size, distribution, and alignment of energy directors (EDs) in thermoplastic composites. The research found that proper ED alignment with the load direction increases the weld strength, while optimal ED size and distribution enhances the weld quality by ensuring uniform energy concentration and heat generation. Villegas [<xref ref-type="bibr" rid="ref-26">26</xref>] provided a thorough study of ultrasonic welding for fiber-reinforced thermoplastic composites, focusing on energy directors, process monitoring, and industrial scalability. The paper advances understanding of process parameters and welding dissimilar materials, offering meaningful perspectives for both industry and research. Raza et al. [<xref ref-type="bibr" rid="ref-34">34</xref>] investigated the ultrasonic welding of polymers like polycarbonate (PC), high-density polyethylene (HDPE), and ABS. The study focused on optimizing parameters such as energy input, pressure, and time to enhance weld quality, making ultrasonic welding suitable for various industrial applications requiring strong polymer joints. Li et al. [<xref ref-type="bibr" rid="ref-29">29</xref>] examined the ultrasonic strengthening&#x2019;s effect on the tensile performance of ABS 3D printed parts. Results displayed an 11.3% upsurge in tensile strength and a 16.7% rise in young&#x2019;s modulus, along with reduced surface roughness. These findings indicate that ultrasonic treatment can effectively enhance the durability and performance of MEX components, broadening their potential applications. Khatri et al. [<xref ref-type="bibr" rid="ref-28">28</xref>] explored UW for PEEK/carbon-fiber-reinforced PEEK materials. The research demonstrated that incorporating energy directors significantly improved the joint strength and weld quality, leading to enhanced mechanical properties. The results indicate that UW could be well-suited for high-performance thermoplastics in demanding applications. Quader et al. [<xref ref-type="bibr" rid="ref-25">25</xref>] examined the impact of ultrasonic vibration on the tensile, physical and morphological properties of PLA based MEX samples. The study found that ultrasonic treatment enhances tensile strength and improves surface quality by altering the material&#x2019;s microstructure. Palaniyappan et al. [<xref ref-type="bibr" rid="ref-35">35</xref>] explored different joining techniques for 3D-printed PLA and recycled wood-reinforced PLA composites, focusing on ultrasonic joining. The results demonstrate that samples welded using ultrasonic methods reach a lap shear strength of 16.4 MPa and a Shore D hardness of 80, exceeding the performance of other joining techniques, including adhesives and direct 3D printing. Singh Rana et al. [<xref ref-type="bibr" rid="ref-36">36</xref>] studied UW of PLA specimens from #3D printing and injection moulding with different parameters. They found that cross energy directors outperformed triangular and semi-circular types. Additionally, 100% infill specimens showed 15% higher tensile strength than injection-moulded specimens. The study concludes that ultrasonic welding effectively addresses print bed size limitations for large, complex products.</p>
<p>A comprehensive review of UW disclosed that while the process has been widely studied for metals, research on polymers and additively manufactured (AM) parts is still limited. The current investigation addresses that gap by applying UW to join AM thermoplastics for larger volume components. Critical factors such as material combination, welding time, amplitude, infill percentages, and the shape of energy directors were statistically analysed. Optimal combinations for maximum elongation and lap shear strength were identified, established, and successfully used to weld components, including a car&#x2019;s rear wing and an agricultural drone, overcoming MEX-3D printer bed size limitations and also further enhancing UW&#x2019;s potential.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Materials and Methods</title>
<p>The findings encompassed in the following segments are established on UW of different combinations of ABS and PLA polymers, manufactured using MEX printing. These polymers were chosen for this study due to their compatibility and frequent use in extrusion-based 3D printing. The polymer&#x2019;s characteristics used during the investigation are presented in <xref ref-type="table" rid="table-1">Table 1</xref>, whereas the printing parameters are depicted in <xref ref-type="table" rid="table-2">Table 2</xref> below.</p>
<table-wrap id="table-1">
<label>Table 1</label>
<caption>
<title>Material properties of the 3D printing polymers [<xref ref-type="bibr" rid="ref-37">37</xref>,<xref ref-type="bibr" rid="ref-38">38</xref>]</title>
</caption>
<table>
<colgroup>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>Property</th>
<th>ABS</th>
<th>PLA</th>
</tr>
</thead>
<tbody>
<tr>
<td>Density</td>
<td>1.07 g/cm<sup>3</sup></td>
<td>1.28 g/cm<sup>3</sup></td>
</tr>
<tr>
<td>Tensile strength</td>
<td>117.3 kgf</td>
<td>99.7 kgf</td>
</tr>
<tr>
<td>Glass transition temperature</td>
<td>110&#x00B0;C</td>
<td>60&#x00B0;C</td>
</tr>
<tr>
<td>Melting temperature</td>
<td>210&#x2013;230&#x00B0;C</td>
<td>180&#x2013;220&#x00B0;C</td>
</tr>
<tr>
<td>Index of melt flow (g/10 min)</td>
<td>9.05</td>
<td>6</td>
</tr>
<tr>
<td>Thermal conductivity (Wm<sup>&#x2212;1</sup>K<sup>&#x2212;1</sup>)</td>
<td>0.25</td>
<td>0.13</td>
</tr>
<tr>
<td>Biodegradability</td>
<td>Non-biodegradable</td>
<td>Biodegradable</td>
</tr>
</tbody>
</table>
</table-wrap><table-wrap id="table-2">
<label>Table 2</label>
<caption>
<title>The set parameters during 3D printing</title>
</caption>
<table>
<colgroup>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>Printing materials</th>
<th>ABS</th>
<th>PLA</th>
</tr>
</thead>
<tbody>
<tr>
<td>Layer thickness (mm)</td>
<td>0.2</td>
<td>0.2</td>
</tr>
<tr>
<td>Bed temperature (&#x00B0;C)</td>
<td>110</td>
<td>80</td>
</tr>
<tr>
<td>Printing temperature (&#x00B0;C)</td>
<td>220</td>
<td>200</td>
</tr>
<tr>
<td>Speed of printing (mm/s)</td>
<td>50</td>
<td>60</td>
</tr>
<tr>
<td>Infill pattern</td>
<td>Cubic</td>
<td>Cubic</td>
</tr>
<tr>
<td>Fan speed (%)</td>
<td>Off</td>
<td>&#x2018;On&#x2019; at 100</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Ultrasonic welding of polymers operates by converting vibrational energy into heat through friction, melting the polymer surfaces, and facilitating molecular diffusion and entanglement to create a strong bond as the material cools [<xref ref-type="bibr" rid="ref-30">30</xref>]. The strength of UW joints is heavily influenced by the temperature spread in the weld zone, that further depends on two key factors: the heat generated and the force applied during the welding process [<xref ref-type="bibr" rid="ref-31">31</xref>]. The heat produced is controlled by parameters such as amplitude, polymer type and weld time while the applied force is largely determined by the joint design and the shape of energy directors. Considering these as the critical factors, parameters for the current study were carefully chosen to optimize weld strength of UW 3D printed parts.</p>
<p>A CAD model with dimensions of 96 &#x00D7; 25 &#x00D7; 4 mm<sup>3</sup> (length &#x00D7; breadth &#x00D7; thickness) following the ASTM 3163-01 (with several adjustments) was designed using Solid Works [<xref ref-type="bibr" rid="ref-39">39</xref>]. A length of 96 mm was selected to ensure that the total length after welding would be 170 mm, allowing it to fit comfortably within the 3D printer&#x2019;s build area. An overlapping region of approximately 21.25 mm (25% of the length of the specimen) was designated for ultrasonic welding. Mechanical stops and alignment tabs were implemented to maintain a consistent overlapping area and to ensure precise positioning of the specimens during testing, as illustrated in <xref ref-type="fig" rid="fig-1">Fig. 1</xref>. Further, three types of Energy directors, namely Rectangular, Semi-circular as well as Triangular were also 3D printed on the test specimens, shown in <xref ref-type="fig" rid="fig-2">Fig. 2</xref> while the dimensions of the energy directors, depicted in <xref ref-type="table" rid="table-3">Table 3</xref> below. The energy director dimensions and their shapes were chosen based on the near-field welding principle and standard practice in the literature. Printing below 1 mm is challenging with FDM, and features larger than 2 mm could negatively affect the melt flow volume below the overlap region during welding. Therefore, 1 mm was selected as the practical lower limit, while 2 mm was chosen to avoid disrupting the melt flow [<xref ref-type="bibr" rid="ref-36">36</xref>]. Further, the ultrasonic welding nature of specimens having rectangular energy director (RED) profile has not been explored till date.</p>
<fig id="fig-1">
<label>Figure 1</label>
<caption>
<title>Geometrical specifications of the welded samples</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="CMC_66129-fig-1.tif"/>
</fig><fig id="fig-2">
<label>Figure 2</label>
<caption>
<title>Various designs of energy directors used for the investigation</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="CMC_66129-fig-2.tif"/>
</fig><table-wrap id="table-3">
<label>Table 3</label>
<caption>
<title>Form and size of the energy directors</title>
</caption>
<table>
<colgroup>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>Type of energy directors</th>
<th>Measurements of energy directors</th>
<th>Schematic diagram</th>
</tr>
</thead>
<tbody>
<tr>
<td>Rectangular energy director (RED)</td>
<td>Height of rectangular ED &#x003D; 1 mm and base &#x003D; 1 mm</td>
<td><inline-graphic mimetype="image" mime-subtype="png" xlink:href="CMC_66129-inline-1.tif"/></td>
</tr>
<tr>
<td>Semi-circular energy director (SCED)</td>
<td>Radius of semicircular ED &#x003D; 1 mm</td>
<td><inline-graphic mimetype="image" mime-subtype="png" xlink:href="CMC_66129-inline-2.tif"/></td>
</tr>
<tr>
<td>Triangular Energy Director (TED)</td>
<td>Height of triangular ED &#x003D; 2 mm and base &#x003D; 2 mm</td>
<td><inline-graphic mimetype="image" mime-subtype="png" xlink:href="CMC_66129-inline-3.tif"/></td>
</tr>
</tbody>
</table>
</table-wrap>
<p>CAD files with an STL extension were imported into Cura slicing software, which converted them into GCode. This GCode then guides the printer&#x2019;s tool head, determining when and where to deposit the thermoplastics on the print bed. The MEX 3D printer used in this study was the Creality Ender-3 V3 SE, which has a bed measuring 190 mm. A matrix of experiments matrix was created by Minitab<sup>&#x00AE;</sup> 16 with a Taguchi design consisting of 5 factors at 3 levels, as detailed in <xref ref-type="table" rid="table-4">Table 4</xref> below. Further, Statistical evaluation and optimization were conducted through ANOVA.</p>
<table-wrap id="table-4">
<label>Table 4</label>
<caption>
<title>Parameters considered and their levels</title>
</caption>
<table>
<colgroup>
<col/>
<col/>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th colspan="5">Levels</th>
</tr>
<tr>
<th>Sl. No.</th>
<th>Parameters</th>
<th>Level 1</th>
<th>Level 2</th>
<th>Level 3</th>
</tr>
</thead>
<tbody>
<tr>
<td>1</td>
<td>MaterialTCombination</td>
<td>ABS/ABS</td>
<td>ABS/PLA</td>
<td>PLA/PLA</td>
</tr>
<tr>
<td>2</td>
<td>Welding time</td>
<td>1.5</td>
<td>1.8</td>
<td>2</td>
</tr>
<tr>
<td>3</td>
<td>Amplitude (%)</td>
<td>80</td>
<td>90</td>
<td>100</td>
</tr>
<tr>
<td>4</td>
<td>Infill</td>
<td>20</td>
<td>35</td>
<td>50</td>
</tr>
<tr>
<td>5</td>
<td>Shape of energy director</td>
<td>Triangular</td>
<td>Rectangular</td>
<td>Semi-circular</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The experimental levels were chosen based on the pilot study, which demonstrated that for the amplitude 80% to 100%, welding time 1.5 to 2 s, infill greater than 20% the welds were defect-less. In total, 162 specimens were printed for the optimization experiments, which consisted of 27 experiments with 2 pairs and 3 trials each. The three repetitions for each trial were averaged using the arithmetic mean, providing a single representative value per trial. After printing, two 3D printed polymeric samples would be sandwiched and clamped tightly using a die and placed below the horn for the welding. <xref ref-type="fig" rid="fig-3">Fig. 3a</xref>&#x2013;<xref ref-type="fig" rid="fig-3">d</xref> shows the process schematically. The overview of the research work conducted is as depicted in the <xref ref-type="fig" rid="fig-4">Fig. 4</xref> below.</p>
<fig id="fig-3">
<label>Figure 3</label>
<caption>
<title>The steps involved in the investigation (<bold>a</bold>) 3D printed specimen (<bold>b</bold>) ultrasonic welding machine (<bold>c</bold>) horn and die setup (<bold>d</bold>) tensile testing</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="CMC_66129-fig-3.tif"/>
</fig><fig id="fig-4">
<label>Figure 4</label>
<caption>
<title>The overview of the research methodology used</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="CMC_66129-fig-4.tif"/>
</fig>
<p>A high-performance ultrasonic welding machine, provided by Johnson Plastosonic Pvt. Ltd., Pune, operating at a frequency of 20 kHz and a power capacity of 1500 W, was utilized to weld the 3D-printed samples. All trials were conducted according to the DOE (<xref ref-type="table" rid="table-5">Table 5</xref>) outlined below. Following the welding process, the samples were kept in the fixture for approximately 2 min to allow cooling, preventing warpage and ensuring optimal weld strength. Welding was performed on only one side, following which, the welded parts were subjected to additional testing and property evaluation.</p>
<table-wrap id="table-5">
<label>Table 5</label>
<caption>
<title>The design of experiment table presenting the input variables, their levels, test outcomes, and corresponding analysis</title>
</caption>
<table>
<colgroup>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
</colgroup>
<thead>
<tr>
<th></th>
<th colspan="5">Input factors</th>
<th colspan="3">Test results</th>
<th colspan="3">Statistical analysis</th>
</tr>
<tr>
<th align="center">Sl. No.</th>
<th align="center">Material combination</th>
<th align="center">Welding time (s)</th>
<th align="center">Ampl itude (%)</th>
<th align="center">Infill (%)</th>
<th align="center">Energy director</th>
<th align="center">Force (Kg-f)</th>
<th align="center">Elong ation (mm)</th>
<th align="center">Joint efficiency</th>
<th align="center">SNRA1 (DB)</th>
<th align="center">SNRA2 (DB)</th>
<th align="center">(0.9&#x002A;SNRA1 &#x002B; 0.1&#x002A;SNRA2) (DB)</th>
</tr>
</thead>
<tbody>
<tr>
<td>1</td>
<td>ABS &#x002B; ABS</td>
<td>1.5</td>
<td>80</td>
<td>20</td>
<td>Triangular</td>
<td>92.12</td>
<td>4.29</td>
<td>78.43</td>
<td>39.28</td>
<td>12.65</td>
<td>36.62</td>
</tr>
<tr>
<td>2</td>
<td>ABS &#x002B; ABS</td>
<td>1.5</td>
<td>80</td>
<td>20</td>
<td>Rectangular</td>
<td>41.05</td>
<td>2.37</td>
<td>34.95</td>
<td>32.26</td>
<td>7.511</td>
<td>29.79</td>
</tr>
<tr>
<td>3</td>
<td>ABS &#x002B; ABS</td>
<td>1.5</td>
<td>80</td>
<td>20</td>
<td>Semi-circular</td>
<td>92.78</td>
<td>4.71</td>
<td>78.43</td>
<td>39.34</td>
<td>13.45</td>
<td>36.75</td>
</tr>
<tr>
<td>4</td>
<td>ABS &#x002B; ABS</td>
<td>1.8</td>
<td>90</td>
<td>35</td>
<td>Triangular</td>
<td>121.55</td>
<td>5.44</td>
<td>103.15</td>
<td>41.69</td>
<td>14.71</td>
<td>38.99</td>
</tr>
<tr>
<td>5</td>
<td>ABS &#x002B; ABS</td>
<td>1.8</td>
<td>90</td>
<td>35</td>
<td>Rectangular</td>
<td>98.71</td>
<td>4.65</td>
<td>83.54</td>
<td>39.88</td>
<td>13.34</td>
<td>37.23</td>
</tr>
<tr>
<td>6</td>
<td>ABS &#x002B; ABS</td>
<td>1.8</td>
<td>90</td>
<td>35</td>
<td>Semi-circular</td>
<td>64.73</td>
<td>3.32</td>
<td>54.56</td>
<td>36.22</td>
<td>10.42</td>
<td>33.64</td>
</tr>
<tr>
<td>7</td>
<td>ABS &#x002B; ABS</td>
<td>2</td>
<td>100</td>
<td>50</td>
<td>Triangular</td>
<td>138.12</td>
<td>4.60</td>
<td>117.64</td>
<td>42.80</td>
<td>13.25</td>
<td>39.85</td>
</tr>
<tr>
<td>8</td>
<td>ABS &#x002B; ABS</td>
<td>2</td>
<td>100</td>
<td>50</td>
<td>Rectangular</td>
<td>147.72</td>
<td>5.06</td>
<td>125.31</td>
<td>43.38</td>
<td>14.08</td>
<td>40.45</td>
</tr>
<tr>
<td>9</td>
<td>ABS &#x002B; ABS</td>
<td>2</td>
<td>100</td>
<td>50</td>
<td>Semi-circular</td>
<td>54.74</td>
<td>2.90</td>
<td>46.03</td>
<td>34.76</td>
<td>9.24</td>
<td>32.21</td>
</tr>
<tr>
<td>10</td>
<td>ABS &#x002B; PLA</td>
<td>1.5</td>
<td>90</td>
<td>50</td>
<td>Triangular</td>
<td>84.91</td>
<td>3.04</td>
<td>84.25</td>
<td>38.57</td>
<td>9.65</td>
<td>35.68</td>
</tr>
<tr>
<td>11</td>
<td>ABS &#x002B; PLA</td>
<td>1.5</td>
<td>90</td>
<td>50</td>
<td>Rectangular</td>
<td>81.86</td>
<td>3.73</td>
<td>81.24</td>
<td>38.26</td>
<td>11.43</td>
<td>35.57</td>
</tr>
<tr>
<td>12</td>
<td>ABS &#x002B; PLA</td>
<td>1.5</td>
<td>90</td>
<td>50</td>
<td>Semi-circular</td>
<td>50.92</td>
<td>2.01</td>
<td>50.15</td>
<td>34.13</td>
<td>6.06</td>
<td>31.33</td>
</tr>
<tr>
<td>13</td>
<td>ABS &#x002B; PLA</td>
<td>1.8</td>
<td>100</td>
<td>20</td>
<td>Triangular</td>
<td>67.51</td>
<td>2.54</td>
<td>67.20</td>
<td>36.58</td>
<td>8.09</td>
<td>33.73</td>
</tr>
<tr>
<td>14</td>
<td>ABS &#x002B; PLA</td>
<td>1.8</td>
<td>100</td>
<td>20</td>
<td>Rectangular</td>
<td>39.53</td>
<td>1.85</td>
<td>39.11</td>
<td>31.93</td>
<td>5.34</td>
<td>29.27</td>
</tr>
<tr>
<td>15</td>
<td>ABS &#x002B; PLA</td>
<td>1.8</td>
<td>100</td>
<td>20</td>
<td>Semi-circular</td>
<td>68.14</td>
<td>2.68</td>
<td>68.20</td>
<td>36.66</td>
<td>8.56</td>
<td>33.85</td>
</tr>
<tr>
<td>16</td>
<td>ABS &#x002B; PLA</td>
<td>2</td>
<td>80</td>
<td>35</td>
<td>Triangular</td>
<td>71.88</td>
<td>2.77</td>
<td>71.21</td>
<td>37.13</td>
<td>8.84</td>
<td>34.30</td>
</tr>
<tr>
<td>17</td>
<td>ABS &#x002B; PLA</td>
<td>2</td>
<td>80</td>
<td>35</td>
<td>Rectangular</td>
<td>69.09</td>
<td>2.85</td>
<td>69.20</td>
<td>36.78</td>
<td>9.09</td>
<td>34.01</td>
</tr>
<tr>
<td>18</td>
<td>ABS &#x002B; PLA</td>
<td>2</td>
<td>80</td>
<td>35</td>
<td>Semi-circular</td>
<td>49.80</td>
<td>2.17</td>
<td>49.14</td>
<td>33.94</td>
<td>6.72</td>
<td>31.22</td>
</tr>
<tr>
<td>19</td>
<td>PLA &#x002B; PLA</td>
<td>1.5</td>
<td>100</td>
<td>35</td>
<td>Triangular</td>
<td>104.85</td>
<td>3.54</td>
<td>104.31</td>
<td>40.41</td>
<td>10.98</td>
<td>37.46</td>
</tr>
<tr>
<td>20</td>
<td>PLA &#x002B; PLA</td>
<td>1.5</td>
<td>100</td>
<td>35</td>
<td>Rectangular</td>
<td>133.76</td>
<td>3.47</td>
<td>133.40</td>
<td>42.52</td>
<td>10.80</td>
<td>39.35</td>
</tr>
<tr>
<td>21</td>
<td>PLA &#x002B; PLA</td>
<td>1.5</td>
<td>100</td>
<td>35</td>
<td>Semi-circular</td>
<td>159.06</td>
<td>3.99</td>
<td>159.47</td>
<td>44.03</td>
<td>12.01</td>
<td>40.83</td>
</tr>
<tr>
<td>22</td>
<td>PLA &#x002B; PLA</td>
<td>1.8</td>
<td>80</td>
<td>50</td>
<td>Triangular</td>
<td>174.47</td>
<td>4.22</td>
<td>174.52</td>
<td>44.83</td>
<td>12.50</td>
<td>41.60</td>
</tr>
<tr>
<td>23</td>
<td>PLA &#x002B; PLA</td>
<td>1.8</td>
<td>80</td>
<td>50</td>
<td>Rectangular</td>
<td>167.08</td>
<td>4.04</td>
<td>167.50</td>
<td>44.45</td>
<td>12.12</td>
<td>41.22</td>
</tr>
<tr>
<td>24</td>
<td>PLA &#x002B; PLA</td>
<td>1.8</td>
<td>80</td>
<td>50</td>
<td>Semi-circular</td>
<td>162.87</td>
<td>3.92</td>
<td>162.48</td>
<td>44.23</td>
<td>11.86</td>
<td>40.99</td>
</tr>
<tr>
<td>25</td>
<td>PLA &#x002B; PLA</td>
<td>2</td>
<td>90</td>
<td>20</td>
<td>Triangular</td>
<td>156.17</td>
<td>4.24</td>
<td>159.47</td>
<td>43.87</td>
<td>12.54</td>
<td>40.73</td>
</tr>
<tr>
<td>26</td>
<td>PLA &#x002B; PLA</td>
<td>2</td>
<td>90</td>
<td>20</td>
<td>Rectangular</td>
<td>130.22</td>
<td>3.80</td>
<td>130.39</td>
<td>42.29</td>
<td>11.59</td>
<td>39.22</td>
</tr>
<tr>
<td>27</td>
<td>PLA &#x002B; PLA</td>
<td>2</td>
<td>90</td>
<td>20</td>
<td>Semi-circular</td>
<td>148.11</td>
<td>3.95</td>
<td>148.44</td>
<td>43.41</td>
<td>11.93</td>
<td>40.26</td>
</tr>
</tbody>
</table>
</table-wrap>
 
<p>The welded samples were examined under standard conditions (34&#x00B0;C and 84% relative humidity) using a universal testing machine (UTM) as presented in <xref ref-type="fig" rid="fig-3">Fig. 3d</xref>. The tests were performed with a Zwick Roell-Z020 (Germany) UTM, stocked with a 20 kN load frame and a crosshead speed of 3 mm/min, following the ASTM D-638 Type-V standard [<xref ref-type="bibr" rid="ref-40">40</xref>&#x2013;<xref ref-type="bibr" rid="ref-42">42</xref>]. For each trial, three tests were carried out to evaluate laps shear strength and elongation. Additionally, failure modes and defects in the welded samples were analysed using a stereomicroscope fitted with a 5 MP camera. The key findings from these tests are discussed in the following section.</p>

</sec>
<sec id="s3">
<label>3</label>
<title>Results and Discussion</title>
<sec id="s3_1">
<label>3.1</label>
<title>Effect of Process Parameters on the Shear Strength and Elongation</title>
<p>After completing the initial phase of investigation, which included a feasibility study and multiple trials, the optimization of the process parameters was initiated. Experimental trials were carried out as per the DOE (<xref ref-type="table" rid="table-5">Table 5</xref>), and tensile tests were performed to assess the strength of the joints. The mean values of the strengths seen are displayed in <xref ref-type="table" rid="table-5">Table 5</xref> while they are graphically illustrated in <xref ref-type="fig" rid="fig-5">Fig. 5</xref>.</p>
<fig id="fig-5">
<label>Figure 5</label>
<caption>
<title>Force-elongation results obtained for various polymer combinations (<bold>a</bold>) ABS-ABS (<bold>b</bold>) ABS-PLA (<bold>c</bold>) PLA-PLA</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="CMC_66129-fig-5a.tif"/>
<graphic mimetype="image" mime-subtype="tif" xlink:href="CMC_66129-fig-5b.tif"/>
</fig>
<p>The graphs indicate that the force increased linearly from the start of the test, with the slope representing the joints stiffness (K), till it reached a peak value referred to as shear strength, accompanied by some displacement. As the examination progressed, the force declined, and the specimens began breaking. Majority of the ABS UW welded joints exhibited a ductile fracture mode, whereas most of the ABS/PLA and PLA/PLA samples showed a brittle mode of fracture.</p>
<p>From the graphs, it can be inferred that the material combination had a significant influence on the joint&#x2019;s shear strength. The shear strength of ABS/ABS joints was almost same as that of the base material, while all PLA/PLA joints exhibited shear strength greater than the base material. PLA/PLA joints showed the maximum strength with a value of 174.47 kgf (trial No. 22).</p>
<p>While crystallinity contributes to PLA&#x2019;s superior performance, it is reasoned not to be the only sole factor. PLA&#x2019;s semi-crystalline structure provides greater stiffness, but it also exhibits better interlayer bonding due to lower shrinkage and warping compared to ABS. Additionally, its stiffer molecular structure resists deformation more effectively under shear and fracture. Fracture surface analysis revealed more cohesive breaks in PLA, whereas ABS showed interlayer separation and voids. These observations indicate that both molecular structure and processing behavior played an important role alongside crystallinity for PLA.</p>
<p>The maximum elongation properties (5.44 mm) was observed for the material combination ABS/ABS (Trial No 4), with the input parameter configured as 1.8 s Welding Time, 90% amplitude with cross triangular energy director and 35% infill percentage.</p>
<p>Trial No.11, ABS/PLA-dissimilar polymer pair displayed the lowest strength of 81.86 kgf. The reduced strength can be attributed to the variations in the thermo-physical properties like Melt Flow Index, Tm, Tg and Molecular weight of the 2 joining polymers. &#x2018;Efficiency of Joint&#x2019;, also known as weld factor, refers to the ratio of the average maximum shear strength to the shear strength of the base material.
<disp-formula id="eqn-1"><label>(1)</label><mml:math id="mml-eqn-1" display="block"><mml:mrow><mml:mtext>Efficiency of joint</mml:mtext></mml:mrow><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mrow><mml:mtext>Shear Strength&#xA0;</mml:mtext></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mtext>Max</mml:mtext></mml:mrow><mml:mo>.</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mtext>Shear Strenght of Base material</mml:mtext></mml:mrow></mml:mfrac></mml:math></disp-formula></p>
<p>Upon comparing the outcomes, the maximum efficiency observed in this study was 174.52% for PLA/PLA (trial No. 22), while all the ABS/PLA specimens showed lowest efficiency. The lack of chemical compatibility between PLA and ABS likely restricted macromolecular inter-diffusion during welding, resulting in a predominantly mechanical bond and reduced shear strength. Therefore, this study advises against the ultrasonic welding of dissimilar materials, such as ABS and PLA. The average values of the shear strength as observed are presented in <xref ref-type="fig" rid="fig-6">Fig. 6a</xref>&#x2013;<xref ref-type="fig" rid="fig-6">c</xref> below. The joint efficiency achieved was greater than that of many other commercial joining and welding methods, such as FSW, SFW, FSSW and MW, as depicted in <xref ref-type="fig" rid="fig-6">Fig. 6d</xref> below [<xref ref-type="bibr" rid="ref-5">5</xref>,<xref ref-type="bibr" rid="ref-16">16</xref>,<xref ref-type="bibr" rid="ref-43">43</xref>,<xref ref-type="bibr" rid="ref-44">44</xref>].</p>
<fig id="fig-6">
<label>Figure 6</label>
<caption>
<title>Graphs displaying the average strength values and joint efficiency for various trials (<bold>a</bold>) ABS-ABS (<bold>b</bold>) ABS-PLA (<bold>c</bold>) PLA-PLA (<bold>d)</bold> Efficiency comparison of different joining techniques FSW, MW, FSSW, SFW and UW</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="CMC_66129-fig-6.tif"/>
</fig>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Parameter Optimization Using the Taguchi Method</title>
<p>The Taguchi method, a statistical approach established by Dr. Genichi Taguchi, a Japanese consultant in quality management, is designed to facilitate continuous improvement in the quality of products and operations [<xref ref-type="bibr" rid="ref-45">45</xref>,<xref ref-type="bibr" rid="ref-46">46</xref>]. Its primary objective is to reduce the number of experimental trials while concurrently examining how various factors affect process performance characteristics. In this approach, the mean value derived from experimental data is replaced with the SNR for the evaluation of characteristics during the analysis of optimal settings. <xref ref-type="table" rid="table-5">Table 5</xref> presents the Design of Experiments (DOE) matrix along with the corresponding results for tensile shear strength, elongation, and their associated Signal-to-Noise Ratios (SNR). The parameters SNRA1 and SNRA2 denote the SNR values for shear strength and elongation, respectively, and are used to facilitate the evaluation of performance characteristics during the optimum setting analysis. Further, (0.9&#x002A;SNRA1 &#x002B; 0.1&#x002A;SNRA2) represents the combined optimization function to obtain both high strength as well as the elongation, giving 90% weightage to shear strength while 10% weightage to the elongation.</p>

<p>In the current research, the tensile strength and elongation of the welded joints were identified as a key characteristic for assessing the quality of the UW joints. The SNR is always estimated to maximize performance, with test results converted into SNR values using either the &#x201C;larger the better&#x201D; or &#x201C;smaller the better&#x201D; criteria. For properties such as tensile strength and elongation, the &#x201C;larger the better&#x201D; approach is selected, and the SNR is evaluated using <xref ref-type="disp-formula" rid="eqn-2">Eq. (2)</xref>.
<disp-formula id="eqn-2"><label>(2)</label><mml:math id="mml-eqn-2" display="block"><mml:mi>&#x03B7;</mml:mi><mml:mo>=</mml:mo><mml:mo>&#x2212;</mml:mo><mml:mn>10</mml:mn><mml:mi>log</mml:mi><mml:mo>&#x2061;</mml:mo><mml:mrow><mml:mo>[</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mtext>n</mml:mtext></mml:mrow></mml:mfrac><mml:munderover><mml:mo>&#x2211;</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:munderover><mml:mfrac><mml:mn>1</mml:mn><mml:msup><mml:mrow><mml:mtext>y</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mfrac><mml:mo>]</mml:mo></mml:mrow></mml:math></disp-formula>wherein, <inline-formula id="ieqn-1"><mml:math id="mml-ieqn-1"><mml:mi>&#x03B7;</mml:mi></mml:math></inline-formula>: SN ratio; <italic>n</italic>: No. of experiments and <italic>y</italic>: Material properties at trial No. <italic>k</italic>.</p>
<p><xref ref-type="table" rid="table-5">Table 5</xref> of the DoE illustrates the diversification in SNR for the different input factors considered. <xref ref-type="fig" rid="fig-7">Fig. 7</xref> presents the main effect plots, highlighting the impact of input process parameters on the tensile strength and elongation of the welds. The ranking of these input parameters was determined from response tables presented in the <xref ref-type="table" rid="table-6">Tables 6</xref> and <xref ref-type="table" rid="table-7">7</xref> below.</p>
<fig id="fig-7">
<label>Figure 7</label>
<caption>
<title>Main effect plots for the different process parameters affecting the (<bold>a</bold>) Tensile strength and (<bold>b</bold>) Elongation levels</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="CMC_66129-fig-7.tif"/>
</fig><table-wrap id="table-6">
<label>Table 6</label>
<caption>
<title>Response table for signal to noise ratios for tensile strength</title>
</caption>
<table>
<colgroup>
<col/>
<col/>
<col/>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>Level</th>
<th>Material combination</th>
<th>Welding time (s)</th>
<th>Amplitude (%)</th>
<th>Infill (%)</th>
<th>Energy director</th>
</tr>
</thead>
<tbody>
<tr>
<td>1</td>
<td>38.85</td>
<td>38.76</td>
<td>39.14</td>
<td>38.41</td>
<td>40.58</td>
</tr>
<tr>
<td>2</td>
<td>36.00</td>
<td>39.61</td>
<td>39.82</td>
<td>39.18</td>
<td>39.09</td>
</tr>
<tr>
<td>3</td>
<td>43.34</td>
<td>39.82</td>
<td>39.24</td>
<td>40.61</td>
<td>38.53</td>
</tr>
<tr>
<td>Delta</td>
<td>7.34</td>
<td>1.06</td>
<td>0.67</td>
<td>2.20</td>
<td>2.05</td>
</tr>
<tr>
<td><bold>Rank</bold></td>
<td><bold>1</bold></td>
<td><bold>4</bold></td>
<td><bold>5</bold></td>
<td><bold>2</bold></td>
<td><bold>3</bold></td>
</tr>
</tbody>
</table>
</table-wrap><table-wrap id="table-7">
<label>Table 7</label>
<caption>
<title>Response table for signal to noise ratios for elongation</title>
</caption>
<table>
<colgroup>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
</colgroup>
<thead>
<tr>
<th align="center">Level</th>
<th align="center">Material combination</th>
<th align="center">Welding time (s)</th>
<th align="center">Amplitude (%)</th>
<th align="center">Infill (%)</th>
<th align="center">Energy director</th>
</tr>
</thead>
<tbody>
<tr>
<td>1</td>
<td>12.07</td>
<td>10.50</td>
<td>10.53</td>
<td>10.19</td>
<td>11.47</td>
</tr>
<tr>
<td>2</td>
<td>8.20</td>
<td>10.78</td>
<td>11.30</td>
<td>10.78</td>
<td>10.59</td>
</tr>
<tr>
<td>3</td>
<td>11.82</td>
<td>10.81</td>
<td>10.27</td>
<td>11.14</td>
<td>10.03</td>
</tr>
<tr>
<td>Delta</td>
<td>3.87</td>
<td>0.30</td>
<td>1.03</td>
<td>0.95</td>
<td>1.44</td>
</tr>
<tr>
<td><bold>Rank</bold></td>
<td><bold>1</bold></td>
<td><bold>5</bold></td>
<td><bold>3</bold></td>
<td><bold>4</bold></td>
<td><bold>2</bold></td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Optimization of the Parameters by ANOVA</title>
<p>ANOVA is a statistical method established by the British Statistician Sir Ronald A. Fisher in the early 20th century. It is employed to assess whether statistically significant differences exist among the means of three or more independent groups. ANOVA helps in analysing the influence of one or more factors by matching the means and assessing the variation within and between groups [<xref ref-type="bibr" rid="ref-47">47</xref>]. By partitioning the total variance into components associated with specific factors, ANOVA provides insight into which factors significantly impact the outcome [<xref ref-type="bibr" rid="ref-9">9</xref>,<xref ref-type="bibr" rid="ref-48">48</xref>&#x2013;<xref ref-type="bibr" rid="ref-50">50</xref>].</p>
<p>In the current study, ANOVA combined with multi-objective optimization was used, assigning an importance of 90% and 10% to tensile strength and elongation, respectively. In ANOVA, the Fisher&#x2019;s value (F) indicates the significance of a parameter. An F value greater than 4 (F &#x003E; 4) signifies a profound impact, an F value between 2 and 4 (2&#x003C; F&#x003C; 4) denotes relative importance, and an F value less than 2 (F &#x003C; 2) suggests the parameter is not a substantial. Meanwhile, the <italic>p</italic>-value reflects the likelihood of observing extreme values, with a <italic>p</italic>-value less than 0.05 (5%) indicating statistical importance.</p>
<p>The outcomes of the ANOVA analysis a re presented in <xref ref-type="table" rid="table-8">Table 8</xref> below. The results indicate that the material combination had the most significant impact, accounting for 58.66%.</p>
<table-wrap id="table-8">
<label>Table 8</label>
<caption>
<title>Summary of ANOVA results</title>
</caption>
 
<table>
<colgroup>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
</colgroup>
<thead>
<tr>
<th align="center">Source</th>
<th align="center">DOF</th>
<th align="center">Sum of squares</th>
<th align="center">Mean squares</th>
<th align="center">Fischer&#x2019;s value</th>
<th align="center">Probability</th>
<th align="center">% Contribution</th>
</tr>
</thead>
<tbody>
<tr>
<td>Material combination</td>
<td>2</td>
<td>220.034</td>
<td>110.017</td>
<td>16.18</td>
<td>0.000</td>
<td>58.66</td>
</tr>
<tr>
<td>Welding time (S)</td>
<td>2</td>
<td>4.920</td>
<td>2.460</td>
<td>0.36</td>
<td>0.702</td>
<td>1.31</td>
</tr>
<tr>
<td>Amplitude (%)</td>
<td>2</td>
<td>2.590</td>
<td>1.295</td>
<td>0.19</td>
<td>0.828</td>
<td>0.69</td>
</tr>
<tr>
<td>Infill (%)</td>
<td>2</td>
<td>19.843</td>
<td>9.922</td>
<td>1.46</td>
<td>0.262</td>
<td>5.29</td>
</tr>
<tr>
<td>Energy director</td>
<td>2</td>
<td>18.906</td>
<td>9.453</td>
<td>1.39</td>
<td>0.278</td>
<td>5.04</td>
</tr>
<tr>
<td>Error</td>
<td>16</td>
<td>108.793</td>
<td>6.800</td>
<td></td>
<td></td>
<td>29.00</td>
</tr>
<tr>
<td><bold>Total</bold></td>
<td><bold>26</bold></td>
<td><bold>375.086</bold></td>
<td></td>
<td></td>
<td></td>
<td><bold>99.99</bold></td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Infill percentage and the shape of the energy directors were the next significant factors with 5.29 and 5.04%, respectively. Among the energy directors considered, rectangular energy directors underperformed, likely due to their geometry dispersing ultrasonic energy over a larger area, thereby reducing localized pressure and heat. This diminished energy concentration is thought to hinder effective melt initiation. In contrast, triangular and semi-circular directors concentrate energy into a smaller contact point, resulting in higher localized stress and heat, which promotes faster and more efficient melting and bonding. Similar observations have also been made by previous researchers [<xref ref-type="bibr" rid="ref-36">36</xref>].</p>
<p>Although welding time and amplitude are generally important parameters in ultrasonic welding, their minimal influence in this study (&#x003C;1.5%) may be due to the fact that the chosen parameter ranges might have fallen within a plateau region of the process window. In this region, any further increase or decrease in time or amplitude did not significantly affect the weld quality.</p>
<p>Further, a high percentage of error (29%) may have resulted from unaccounted variables, measurement inaccuracies, or environmental variations. Refining the model will be taken up a part of future studies to reduce these errors. In addition to the ANOVA table, a combined main effects plot, a contribution graph, and an interaction plot (<xref ref-type="fig" rid="fig-8">Fig. 8</xref>) were produced to show the contribution percentages, ideal levels, and interactions among the parameters.</p>
<fig id="fig-8">
<label>Figure 8</label>
<caption>
<title>(<bold>a</bold>) Plot of main effects (<bold>b</bold>) interaction plot and (<bold>c</bold>) contribution graph</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="CMC_66129-fig-8.tif"/>
</fig>
<p>The R<sup>2</sup> value (coefficient of multiple correlation), representing the linear relationship between the predicted and observed variables, was 71%. The total contribution rate of the parameters was 99.99%, further validating the appropriate selection of parameters and the execution of the experiments. Ultimately, the evaluation revealed that the ideal parameters chosen were: material combination, welding time and infill % at level 3, while amplitude at level 1 and Energy director&#x2019;s shape at level 2. <xref ref-type="table" rid="table-9">Table 9</xref> below presents the ranking of each factor&#x2019;s contribution along with their optimal levels for achieving maximum tensile strength and elongation.</p>
<table-wrap id="table-9">
<label>Table 9</label>
<caption>
<title>Process parameters and their optimal levels</title>
</caption>
<table>
<colgroup>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>Factor</th>
<th>Contribution rank</th>
<th>Level</th>
</tr>
</thead>
<tbody>
<tr>
<td>Material combination</td>
<td>3</td>
<td>PLA-PLA</td>
</tr>
<tr>
<td>Welding time</td>
<td>3</td>
<td>2 s</td>
</tr>
<tr>
<td>Amplitude</td>
<td>2</td>
<td>90%</td>
</tr>
<tr>
<td>Infill percentage</td>
<td>3</td>
<td>50%</td>
</tr>
<tr>
<td>Shape of energy director</td>
<td>1</td>
<td>Triangular</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Prediction and Validation Results</title>
<p>After determining the optimal levels for the design parameters, the following step is to predict and confirm these levels. This is accomplished by utilizing <xref ref-type="disp-formula" rid="eqn-3">Eq. (3)</xref> shown below:
<disp-formula id="eqn-3"><label>(3)</label><mml:math id="mml-eqn-3" display="block"><mml:mrow><mml:mover><mml:mrow><mml:mi>&#x03B7;</mml:mi></mml:mrow><mml:mo stretchy="false">&#x005E;</mml:mo></mml:mover></mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi>&#x03B7;</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:munderover><mml:mo>&#x2211;</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mi>o</mml:mi></mml:mrow><mml:mrow><mml:mi>o</mml:mi></mml:mrow></mml:munderover><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mover><mml:mi>&#x03B7;</mml:mi><mml:mo accent="false">&#x00AF;</mml:mo></mml:mover><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mi>&#x03B7;</mml:mi><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:math></disp-formula>where <inline-formula id="ieqn-2"><mml:math id="mml-ieqn-2"><mml:msub><mml:mi>&#x03B7;</mml:mi><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> is the total mean SN ratio, <inline-formula id="ieqn-3"><mml:math id="mml-ieqn-3"><mml:msub><mml:mover><mml:mi>&#x03B7;</mml:mi><mml:mo accent="false">&#x00AF;</mml:mo></mml:mover><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> is the mean SN ratio at the optimum level, and <inline-formula id="ieqn-4"><mml:math id="mml-ieqn-4"><mml:mi>o</mml:mi></mml:math></inline-formula> is the number of the main designpparameter that affects the quality of the weld.</p>
<p>As per the ANOVA analysis, (referring to <xref ref-type="fig" rid="fig-7">Fig. 7a</xref>), the optimum parameters for better joining strength and elongation are to be set as follows: material combination, welding time, infill % at level 3, while amplitude at level 1 and energy director&#x2019;s shape at level 2, i.e., A3B3C2D3E1. Hence, form <xref ref-type="disp-formula" rid="eqn-3">Eq. (3)</xref>,</p>

<p>n<sub>opt</sub> &#x003D; 39.4 &#x002B; (43.34 &#x2212; 39.4) &#x002B; (39.82 &#x2212; 39.4) &#x002B; (39.82 &#x2212; 39.4) &#x002B; (40.61 &#x2212; 39.4) &#x002B; (40.58 &#x2212; 39.4)</p>
<p>n<sub>opt</sub> &#x003D; 46.57</p>
<p>y<sup>2</sup><sub>opt</sub> &#x003D; (10)<sup>nopt/10</sup> (Tensile Strength &#x2212; Larger is better)</p>
<p>y<sup>2</sup><sub>opt</sub> &#x003D; 45,394.16</p>
<p>y<sub>opt</sub> &#x003D; 213.06 kgf.</p>
<p>Accordingly, the estimated strength was found to be 213.06 MPa.</p>
<p>Similarly, the optimal value for elongation was predicted using <xref ref-type="disp-formula" rid="eqn-3">Eq. (3)</xref>,</p>
<p>n<sub>opt</sub> &#x003D; 10.7 &#x002B; (12.07 &#x2212; 10.7) &#x002B; (10.81 &#x2212; 10.7) &#x002B; (11.30 &#x2212; 10.7) &#x002B; (11.13 &#x2212; 10.7) &#x002B; (11.47 &#x2212; 10.7)</p>
<p>n<sub>opt</sub> &#x003D; 14.005</p>
<p>y<sup>2</sup><sub>opt</sub> &#x003D; (10)<sup>nopt/10</sup> (Elongation &#x2212; Larger is better)</p>
<p>y<sup>2</sup><sub>opt</sub> &#x003D; (10)<sup>14.005/10</sup></p>
<p>y<sup>2</sup><sub>opt</sub> &#x003D; 25.14</p>
<p>y<sub>opt</sub> &#x003D; 5.01 mm.</p>
<p>Accordingly, the estimated elongation was found to be 5.01 mm.</p>
<p>To authenticate the predicted values, a practical validation test was carried out using the optimal welding parameters. In this experiment, the 3D printing process and the successive ultrasonic welding were conducted based on the optimal parameters specified in <xref ref-type="table" rid="table-9">Table 9</xref>. The results of the validation test are shown in <xref ref-type="table" rid="table-10">Table 10</xref>. The observed variations were under 10%, indicating that the factors were successfully selected and the experimentation was effectively conducted.</p>
<table-wrap id="table-10">
<label>Table 10</label>
<caption>
<title>Predicted values compared to confirmation test results, carried out at the optimal predicted setting</title>
</caption>
<table>
<colgroup>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>Properties</th>
<th>Shear strength (MPa)</th>
<th>Elongation (mm)</th>
</tr>
</thead>
<tbody>
<tr>
<td>Predicted values</td>
<td>213.06</td>
<td>5.01 mm</td>
</tr>
<tr>
<td>Validated values</td>
<td>187.5</td>
<td>4.56 mm</td>
</tr>
<tr>
<td><bold>Variations (%)</bold></td>
<td><bold>12</bold></td>
<td><bold>9</bold></td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3_5">
<label>3.5</label>
<title>Macrostructure Analysis of Ultrasonic Welded Specimens</title>
<p>After tensile testing of ultrasonically welded 3D-printed ABS and PLA specimens, an in-depth macrostructural analysis was carried out, to evaluate the weld integrity and identify the failure mechanisms. The analysis was carried out using a macroscope at 50&#x00D7; magnification. This analysis concentrated on identifying and characterizing different types of fractures, including adherent fractures, delamination, mid-line fractures, etc. Images of the macrostructural analysis that was conducted are depicted in <xref ref-type="fig" rid="fig-9">Fig. 9</xref>.</p>
<fig id="fig-9">
<label>Figure 9</label>
<caption>
<title>Macro-structural images of the ultrasonically welded fractured samples: (<bold>a</bold>) ABS-ABS (<bold>b</bold>) ABS-PLA (<bold>c</bold>) PLA-PLA and (<bold>d&#x2013;f</bold>) observations of the irregular flashes</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="CMC_66129-fig-9.tif"/>
</fig>
<p>From the macrostructural images, it was observed that most ABS/ABS samples (<xref ref-type="fig" rid="fig-9">Fig. 9a</xref>) exhibited delamination-type fractures occurring in the overlapping region of the joints. Similarly, most ABS/PLA dissimilar samples also displayed delamination-type fractures (<xref ref-type="fig" rid="fig-9">Fig. 9b</xref>), where the sheets were completely separated, indicating insufficient weld strength. The weak shear strength observed may be attributed to inadequate ultrasonic energy during the welding process, leading to weak interfacial bonds.</p>

<p>Most of the PLA/PLA specimens exhibited adherent failure (<xref ref-type="fig" rid="fig-9">Fig. 9c</xref>), where the fracture occurred away from the weld zone, in one of the substrates. The welded interface showed smooth transitions between the fused layers, indicating efficient energy transfer and proper fusion during the ultrasonic welding process. This suggested that the weld strength was superior to that of the base material.</p>

<p>Flashes refer to excess material expelled from the joint area during the welding process. This extrusion of molten material beyond the intended joint zone resulted from factors such as excessive pressure, elevated temperatures, and material inconsistencies. As shown in <xref ref-type="fig" rid="fig-9">Fig. 9d</xref>&#x2013;<xref ref-type="fig" rid="fig-9">f</xref>, irregular flashes were observed in the weld region during the welding process. The existence of flashes also suggested the that heat generation and pressure were evenly distributed across the joint, contributing to an overall strong and consistent weld.</p>

</sec>
<sec id="s3_6">
<label>3.6</label>
<title>Application of the Investigation on a Car Rear Wing and an Agricultural Drone</title>
<p>The rear wing, or spoiler, of a car is a crucial aerodynamic component designed to enhance stability and performance at high speeds. It is commonly found on high-performance vehicles, race cars, and sports cars. The studies conducted in the sections above concentrated on welding the 700 mm-wide (reduced to 1:2 scale) parts of a NACA 2412 aerofoil vehicle spoiler, which is larger than the build platform of majority of 3D printers sold commercially. The studies conducted in the previous sections were concerned with welding the 700 mm-wide (reduced to 1:2 scale) parts of a NACA 2412 aerofoil vehicle spoiler, which is larger than the bed size of the majority of 3D printers that are sold commercially. <xref ref-type="table" rid="table-6">Table 6</xref> provided the optimum values of parameters to be chosen for the UW process. The available 3D printer had a bed size of 190 mm, whereas the NACA 2412 aerofoil car spoiler had a span of 700 mm in the horizontal direction. The 3D printed and UW rear wing was of good quality, meeting industrially acceptable standards. <xref ref-type="fig" rid="fig-10">Fig. 10a</xref> shows the CAD prototype of the segmented car spoiler. <xref ref-type="fig" rid="fig-10">Fig. 10b</xref> shows the printed parts with energy directors, while <xref ref-type="fig" rid="fig-10">Fig. 10c</xref> displays the 3D printed parts. <xref ref-type="fig" rid="fig-10">Fig. 10d</xref> illustrates the UW process being performed, and <xref ref-type="fig" rid="fig-10">Fig. 10e</xref> shows the final welded joints and the final painted rear spoiler wing.</p>
<fig id="fig-10">
<label>Figure 10</label>
<caption>
<title>Application of UW to fabricate a spoiler of a car. (<bold>a</bold>) CAD model of the spoiler. (<bold>b</bold>) Section showing the energy director. (<bold>c</bold>) The printed sections yet to be welded. (<bold>d</bold>) Ultrasonic welding being carried out. (<bold>e</bold>) Final fabricated car spoiler</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="CMC_66129-fig-10.tif"/>
</fig>
<p>Agricultural drones play a pivotal role in advancing modern farming practices, significantly contributing to increased productivity, sustainability, and operational efficiency. However, the fabrication of such drones presents several complex challenges across technical, regulatory, and economic dimensions, which must be carefully addressed to ensure successful development and deployment in agricultural applications. 3D printing technology offers promising solutions to these fabrication challenges, including the production of lightweight, customizable components, rapid prototyping for design iterations, and modular parts that are easily repairable. In this context, an agricultural drone was fabricated, with the central frame (<xref ref-type="fig" rid="fig-11">Fig. 11b</xref>) measuring approximately 180 mm. The propellers (<xref ref-type="fig" rid="fig-11">Fig. 11c</xref>) were subsequently ultrasonically welded (UW) to the central frame. The final 3D-printed drone frame demonstrated good strength and robustness, as illustrated in <xref ref-type="fig" rid="fig-11">Fig. 11e</xref>, meeting the structural requirements for field deployment.</p>
<fig id="fig-11">
<label>Figure 11</label>
<caption>
<title>Application of UW to fabricate an agricultural drone (<bold>a</bold>) CAD model of the drone (<bold>b</bold>) Fabrication of the central hub and the propellers (<bold>c</bold>) Ultrasonic welding being carried out (<bold>d</bold>) Final fabricated agricultural drone (<bold>e</bold>) Drone ready for supply</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="CMC_66129-fig-11.tif"/>
</fig>
</sec>
</sec>
<sec id="s4">
<label>4</label>
<title>Conclusions</title>
<p>Two primary goals guided the conduct of this investigation: First, to successfully demonstrate the achievability of UW on 3D-printed polymers with the aim of overcoming the part size restrictions of MEX-3D printers. Second, to experimentally and statistically evaluate the effects of different materials, welding parameters, and energy director geometries on the UW of 3D-printed parts. The experimental observation and analysis yielded the following significant findings:
<list list-type="simple">
<list-item><label>&#x2022;</label>
<p>When compared to the majority of commercially available joining techniques, such as FSW, FSSW, SFW, AB, MW, UW welding produced the best joint efficiency (174.52%).</p></list-item>  
<list-item><label>&#x2022;</label>
<p>Similar to prior joining methods, the current method also produced a mechanical assembly by linking different 3D-printed polymers, which led to low joint strength.</p></list-item>
<list-item><label>&#x2022;</label>
<p>Statistical analysis showed that the optimum parameters to obtain good strength and elongation were: (a) PLA/PLA thermoplastics (b) 50% infill (c) 2 s welding time (d) 90% amplitude, and (e) Triangular energy directors.</p></list-item>
<list-item><label>&#x2022;</label>
<p>The ANOVA results revealed that the factor that affects the outputs of UW joints is the material combination trailed by infill percentage and the shape of the energy director, whereas the welding time and amplitude displayed little to no effect on the results.</p></list-item>
<list-item><label>&#x2022;</label>
<p>Macrostructural analysis revealed that ABS/ABS and ABS/PLA polymer joints exhibited delamination-type fractures, while most PLA/PLA UW joints showed adherent-type fractures.</p></list-item>
</list></p>
<p>From a broader perspective, UW stands out for its quickness and economy, making it an excellent choice for welding AM parts to produce complex, high-strength components. However, the proper selection of welding parameters, particularly the material and the geometry of the energy directors, is essential to the weld&#x2019;s success.</p>
</sec>
</body>
<back>
<ack>
<p>The authors would like to thank Additive Manufacturing and Reverse Engineering Lab for the research facilities, KLS Gogte Institute of Technology, and Visveswaraya Technological University (VTU), Belagavi for the research encouragement. They also thank Mr. Akhilesh Vernekar, Miss Aishwarya Panchaxarimath, Miss Ashwini Lohar and Miss Namrata Kabbe&#x2014;UG students, Department of Mechanical Engineering for conducting the experimental trials.</p>
</ack>
<sec>
<title>Funding Statement</title>
<p>The authors received no specific funding for this study.</p>
</sec>
<sec>
<title>Author Contributions</title>
<p>Study conception and design: Vivek Kumar Tiwary, Arunkumar P.; data collection: Vivek Kumar Tiwary, Arunkumar P.; analysis and interpretation of results: Vivek Kumar Tiwary, Vinayak R. Malik, Arunkumar P.; draft manuscript preparation: Vivek Kumar Tiwary, Vinayak R. Malik. All authors reviewed the results and approved the final version of the manuscript.</p>
</sec>
<sec sec-type="data-availability">
<title>Availability of Data and Materials</title>
<p>The data that support the findings of this study are available from the corresponding author upon reasonable request.</p>
</sec>
<sec>
<title>Ethics Approval</title>
<p>Not applicable.</p>
</sec>
<sec sec-type="COI-statement">
<title>Conflicts of Interest</title>
<p>The authors declare no conflicts of interest to report regarding the present study.</p>
</sec>
<glossary content-type="abbreviations" id="glossary-1">
<title>Acronyms</title>
<def-list>
<def-item>
<term>AM</term>
<def>
<p>Additive Manufacturing</p>
</def>
</def-item>
<def-item>
<term>3DP</term>
<def>
<p>3-Dimensional Printing</p>
</def>
</def-item>
<def-item>
<term>UW</term>
<def>
<p>Ultrasonic Welding</p>
</def>
</def-item>
<def-item>
<term>MEX</term>
<def>
<p>Material Extrusion</p>
</def>
</def-item>
<def-item>
<term>ABS</term>
<def>
<p>Acrylonitrile Butadiene Styrene</p>
</def>
</def-item>
<def-item>
<term>PLA</term>
<def>
<p>Polylactic Acid</p>
</def>
</def-item>
<def-item>
<term>DOE</term>
<def>
<p>Design of Experiments</p>
</def>
</def-item>
<def-item>
<term>ANOVA</term>
<def>
<p>Analysis of Variance</p>
</def>
</def-item>
<def-item>
<term>FSW</term>
<def>
<p>Friction Stir Welding</p>
</def>
</def-item>
<def-item>
<term>FSSW</term>
<def>
<p>Friction Stir Spot Welding</p>
</def>
</def-item>
<def-item>
<term>SFW</term>
<def>
<p>Spin Friction Welding</p>
</def>
</def-item>
<def-item>
<term>MW</term>
<def>
<p>Microwave Welding</p>
</def>
</def-item>
<def-item>
<term>SNR</term>
<def>
<p>Signal-to-Noise Ratio</p>
</def>
</def-item>
</def-list>
</glossary>
<ref-list content-type="authoryear">
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