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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mater.</journal-id>
<journal-title>Frontiers in Materials</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mater.</abbrev-journal-title>
<issn pub-type="epub">2296-8016</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1268975</article-id>
<article-id pub-id-type="doi">10.3389/fmats.2023.1268975</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Materials</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>The use of phase change material as an actuator in linkage fabric structures</article-title>
<alt-title alt-title-type="left-running-head">Partik et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fmats.2023.1268975">10.3389/fmats.2023.1268975</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Partik</surname>
<given-names>Christian</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2392788/overview"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Porte</surname>
<given-names>Elze</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Purkiss</surname>
<given-names>Danielle</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Michalska</surname>
<given-names>Martyna</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Miodownik</surname>
<given-names>Mark</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<aff id="aff1">
<sup>1</sup>
<institution>Department of Mechanical Engineering</institution>, <institution>University College London</institution>, <addr-line>London</addr-line>, <country>United Kingdom</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Institute of Making</institution>, <institution>University College London</institution>, <addr-line>London</addr-line>, <country>United Kingdom</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Manufacturing Futures Lab</institution>, <institution>Department of Mechanical Engineering</institution>, <institution>University College London</institution>, <addr-line>London</addr-line>, <country>United Kingdom</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1391274/overview">Pham Huy Nguyen</ext-link>, Imperial College London, United Kingdom</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/769930/overview">Lining Yao</ext-link>, Carnegie Mellon University, United States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1416916/overview">Thanh Nho Do</ext-link>, University of New South Wales, Australia</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2400057/overview">Heather Jin Hee Kim</ext-link>, Cornell University, Ithaca, United States in collaboration with reviewer (TND)</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Mark Miodownik, <email>m.miodownik@ucl.ac.uk</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>27</day>
<month>11</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1268975</elocation-id>
<history>
<date date-type="received">
<day>28</day>
<month>07</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>15</day>
<month>11</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Partik, Porte, Purkiss, Michalska and Miodownik.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Partik, Porte, Purkiss, Michalska and Miodownik</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Linkage fabric structures show potential as assistive technology that can provide support and assistance for individuals with specific mobility and disability needs. The core functionality of these fabrics is the ability to passively and actively control the mechanics of each link producing a structure with variable and adjustable stiffness. Current actuators have shown limited ability to produce active stiffening within a fabric structure without the addition of a continuous energy supply to the structure, therefore, limiting its use as wearable assistive technology. Here, we address the energy supply problem and show the novel use of sodium acetate trihydrate (SAT) in the linkage structures to induce mechanical stiffening through a phase change induced by an electric impulse. We find that a SAT aqueous concentration of 55&#xa0;wt% is optimum to achieve a stable supercooled liquid (to ambient temperature) and effective electrical nucleation from liquid to solid, which provides robust locking mechanism of individual linkages able to withstand mechanical torsion up to 200&#xa0;mNm. We demonstrate proof of principle through the integration of SAT into one- and two-dimensional linkage structures and their nearly instantaneous stiffening within each link by enabling electrically controlled actuation.</p>
</abstract>
<kwd-group>
<kwd>phase change material</kwd>
<kwd>sodium acetate trihydrate</kwd>
<kwd>assistive technology</kwd>
<kwd>soft robotic actuators</kwd>
<kwd>wearable</kwd>
<kwd>active matter</kwd>
<kwd>animate material</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Smart Materials</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Assistive technology plays an important role in improving the quality of life for individuals with disabilities, the elderly and infirm. Traditionally, these have been mechanical devices to aid mobility and activity such as wheelchairs, prosthetics, and orthotics. The drawbacks of some of these technologies include limited functionality, discomfort, and aesthetic concerns (<xref ref-type="bibr" rid="B15">Shinohara and Wobbrock, 2011</xref>; <xref ref-type="bibr" rid="B4">Doughty and Appleby, 2016</xref>; <xref ref-type="bibr" rid="B9">Marti and Recupero, 2022</xref>). With the advancements in material innovation and soft robotics in recent years, new types of wearable technologies are emerging that address the user requirements of higher adaptability, while reducing bulkiness and weight (<xref ref-type="bibr" rid="B18">Walsh et al., 2006</xref>; <xref ref-type="bibr" rid="B16">Thalman and Artemiadis, 2020</xref>; <xref ref-type="bibr" rid="B10">Martinez-Hernandez et al., 2021</xref>). At the heart of these new materials is their bespoke mechanics and ability to adapt to their user&#x2019;s needs. One approach has been to develop linkage fabric structures (<xref ref-type="bibr" rid="B12">Ransley et al., 2017</xref>; <xref ref-type="bibr" rid="B11">Ploszajski et al., 2019</xref>; <xref ref-type="bibr" rid="B20">Wang et al., 2021b</xref>). The ability to design linkage fabrics to actively modulate stiffness on demand is envisioned to support joints and facilitate limb movement, as illustrated in <xref ref-type="fig" rid="F1">Figure 1</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Schematic of wearable assistive linkage fabric: <bold>(A)</bold> a demonstration of how wearable assistive devices can actively modulate stiffness on demand is envisioned to support joints and facilitate limb movement; <bold>(B)</bold> showing the details of the linkage fabric consisting of block-shaped links that are connected through flexible joints that can be locked and unlocked on demand changing the stiffness of.</p>
</caption>
<graphic xlink:href="fmats-10-1268975-g001.tif"/>
</fig>
<p>Progress in designing and 3D printing of bespoke linkage fabrics has been possible through the development of additive manufacturing technologies, such as selective laser sintering (SLS). These additive manufacturing techniques allow for the design of the linkage fabric with tailored geometries so that these wearable technologies can answer individual needs. Designed to be worn like clothes, these linkage fabrics could allow wearers to overcome barriers and participate actively in various aspects of life.</p>
<p>The tunability of these fabrics can be achieved through passive means like granular jamming (<xref ref-type="bibr" rid="B20">Wang et al., 2021b</xref>; <xref ref-type="bibr" rid="B6">Hu et al., 2023</xref>; <xref ref-type="bibr" rid="B17">Tian et al., 2023</xref>; <xref ref-type="bibr" rid="B21">Xu et al., 2023</xref>), where the geometry of the links is modified throughout the stiffening process, or through active means (<xref ref-type="bibr" rid="B12">Ransley et al., 2017</xref>). The latter allows for the stiffness of the fabric to be changed locally through the actuation of each link in contrast to the former, where the whole fabric is manipulated at once. However, to maintain the desired stiffness and actuation of the fabric, both approaches require constant energy input such as a vacuum compressor or electric power, limiting their applications. There is a need for a method that can create a change in fabric stiffness without needing constant energy input to maintain it, the so-called locking of the structure.</p>
<p>Sodium acetate trihydrate (SAT) is an inorganic substance known for its high exothermic enthalpy of solidification, which is typically utilised for thermal energy storage (<xref ref-type="bibr" rid="B14">Sandnes and Rekstad, 2006</xref>; <xref ref-type="bibr" rid="B7">Jin et al., 2014</xref>; <xref ref-type="bibr" rid="B19">Wang et al., 2021a</xref>). When heating SAT crystals in water above 77.6&#xb0;C, the crystals fully dissolve. When cooling these SAT solutions, an unusual property occurs. They can undergo a high degree of supercooling before solidification. According to <xref ref-type="bibr" rid="B14">Sandes and Rekstad (2006)</xref>, the SAT solution can, once it reaches equilibrium with its surroundings, remain a supercooled liquid for an indefinite period. Remarkably, solidification of the supercooled liquid can be initiated within seconds by a low-voltage electric field (<xref ref-type="bibr" rid="B19">Wang et al., 2021a</xref>), making SAT a promising actuator for the active stiffening of linkage fabrics.</p>
<p>However, its mechanical properties and application to stiffness modulation have not yet been investigated which is the aim of this paper. Here we investigate SAT as a stiffening actuator for adaptable linkage fabrics. This paper discusses the novel use of SAT to create a linkage structure with variable stiffness that can maintain its shape without an external energy supply. We characterise the mechanical properties of the material and showcase an example of a one-dimensional fabric linkage structure with variable stiffness using SAT.</p>
</sec>
<sec sec-type="methods" id="s2">
<title>Methodology</title>
<sec id="s2-1">
<title>Sodium acetate trihydrate</title>
<p>Sodium acetate solutions with concentrations of 40&#xa0;wt% to 56&#xa0;wt%, in 2&#xa0;wt% intervals, were prepared using sodium acetate trihydrate crystals (99% purity, Fisher Scientific) and distilled water. The salt hydrate was diluted to obtain the desired concentration and then heated above its phase transition temperature (around 58&#xb0;C) until all crystals were fully dissolved. These solutions were sealed in 50&#xa0;mL polypropylene (PP) test tubes to reduce evaporation of the water. The preparation of the electrodes for electric nucleation was followed as described by <xref ref-type="bibr" rid="B3">Dong et al. (2022)</xref>. In short, two Ag-electrodes (diameter, <inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:mo>&#x2205;</mml:mo>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 1.5&#xa0;mm) of 99% purity were cut into 80&#xa0;mm long rods and sanded using P80 and P800 sandpaper. SAT crystals were embedded into the roughened surface by hand before submerging the prepared electrodes in distilled water for 60&#xa0;min (<xref ref-type="bibr" rid="B3">Dong et al., 2022</xref>). The electrodes were then placed and sealed through the lid of the tube together with a DS18B20 temperature sensor (<xref ref-type="fig" rid="F2">Figure 2</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>SAT characterisation test setup, using a 50&#xa0;mL&#xa0;PP test tube filled with sodium acetate solutions ranging from 40&#xa0;wt% to 56&#xa0;wt% sodium acetate, two Ag-electrodes and a DS18B20 thermo sensor.</p>
</caption>
<graphic xlink:href="fmats-10-1268975-g002.tif"/>
</fig>
<p>To test the success rate of the SAT solutions to supercool and electrically nucleate, the test tubes were heated in a water bath to a temperature of 70&#xb0;C and left for a time of 30, 60 and 80&#xa0;min before letting them cool down to room temperature of 25&#xb0;C. The solutions were categorised as successfully supercooled when a continuous cooling curve was measured using the temperature sensor and no crystal growth was visible to the naked eye, as described (<xref ref-type="bibr" rid="B3">Dong et al., 2022</xref>). Following the successful supercooling, a DC voltage of 5&#xa0;V was applied to the electrodes (at a depth (L<sub>1</sub>) of 50&#xa0;mm and with a gap (L<sub>2</sub>) of 20&#xa0;mm) for 5&#xa0;s. Nucleation of the solutions was deemed successful if crystal growth was observed during the application of the voltage and a spike in temperature was measured. The test procedures were repeated for ten iterations with three batches of solutions of the prepared concentrations (40&#xa0;wt% to 56&#xa0;wt%).</p>
<p>The influence of electrode placement on the success rate of the nucleation was investigated by preparing three batches of solutions with 55&#xa0;wt% sodium acetate concentration. The electrodes were placed at varied depths (L1, <xref ref-type="fig" rid="F2">Figure 2</xref>) of 5&#x2013;30&#xa0;mm (for a 20&#xa0;mm gap) and gaps (L2, <xref ref-type="fig" rid="F2">Figure 2</xref>) of 10&#x2013;40&#xa0;mm (for a depth of 30&#xa0;mm). The solutions were heated to 70&#xa0;&#xb0;C and left for a heating period of 80&#xa0;min before cooling them slowly to room temperature, measuring the nucleation effectiveness post-cooling using the same criteria as described before.</p>
</sec>
<sec id="s2-2">
<title>Viscosity</title>
<p>Three sets of experiments were carried out using a TI Discovery-Hybrid-Rheometer 3 (DHR-3) with a Peltier concentric cylinder and a vane rotor setup to determine the viscosity of the SAT solutions. The first experiment used three batches of 45&#xa0;wt%, 50&#xa0;wt% and 55&#xa0;wt% sodium acetate at 70&#xb0;C to determine the viscosity in a liquid state. The crystallisation of the three solutions was then investigated with a temperature ramp from 70&#xb0;C to 25&#xb0;C, measuring the viscosity change upon cooling, with a constant movement to avoid supercooling of the solution substituting the need of electric nucleation. Thirdly, a torque ramp ranging from 10 to 200,000 &#x3bc;Nm was systematically applied to the solidified material exploring the yield point of the three crystallised solution concentrations, over increased torque.</p>
</sec>
<sec id="s2-3">
<title>Linkage fabric prototype</title>
<p>The integration of the phase change material as an actuator in a linkage fabric was realised using a two-part design. The linkage nodes consists of a rigid structure with a chamber in which the phase change material is placed to surround a movable joint that is partly suspended in the chamber and connects it to other node points, see <xref ref-type="fig" rid="F3">Figures 3A, B</xref> To test electrical electric nucleation and cyclability of the phase change material in such a fabric, a larger scale version of a single node was designed to better facilitate insertion of electronics, see <xref ref-type="fig" rid="F4">Figure 4</xref>.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Linkage fabric prototype with the sodium acetate solution: <bold>(A)</bold> as a conceptual drawing showing the link design containing phase change liquid; <bold>(B)</bold> the 3D printed prototype design assembled as a 3 &#xd7; 3 fabric structure.</p>
</caption>
<graphic xlink:href="fmats-10-1268975-g003.tif"/>
</fig>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>The link prototype with the sodium acetate solution: <bold>(A)</bold> as a conceptual drawing showing the possible movements of the link; <bold>(B,C)</bold> the 3D printed prototype design with Ag-electrodes and power supply connected.</p>
</caption>
<graphic xlink:href="fmats-10-1268975-g004.tif"/>
</fig>
<p>Both prototypes were designed using Autodesk Inventor and 3D printed using an Elegoo Mars 3 MSLA printer with photo-responsive resins from the same company. For the first design shown in (<xref ref-type="fig" rid="F3">Figure 3</xref>) consists of three printed parts, one movable joint structure and two parts making up the rigid support structure in which the phase change material is filled. The second design shown in (<xref ref-type="fig" rid="F4">Figure 4</xref>), two printed parts are connected by a flexibl cover consisting of a latex sheet that was cut to size, placed, and fixated using rubber bands. The openings in the cover for the joint shaft and electrodes have been sealed using hot glue and silicone sealant. Both designs were manually assembled and filled with a 55&#xa0;wt% SAT solution, subsequently heated to 60&#xb0;C.</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>Results and discussion</title>
<sec id="s3-1">
<title>Material characterisation</title>
<p>To assess the feasibility of using SAT as an actuator, a characterisation of the crystallisation and material properties was carried out. The success rate of supercooling the solution at different concentrations over different heating periods was investigated, as shown in <xref ref-type="fig" rid="F5">Figure 5A</xref>. All the SAT solutions showed the ability to supercool. The effectiveness of the solution increases with longer heating periods. Specifically, average success rates for all concentrations of 46%, 59%, and 71% were observed for heating periods of 30, 60, and 80&#xa0;min, respectively. The SAT of 52&#xa0;wt% demonstrated the highest supercooling effectiveness with a mean of 83% (&#xb1;5%) at 80&#xa0;min of the heating period. For periods of 30 and 60&#xa0;min, the SAT solution of 46&#xa0;wt% was most successful having achieved success rates of 63% (&#xb1;12%) and 67% (&#xb1;13%), respectively. These results indicate that concentration of the solution does not directly affect the effectiveness of solutions to supercool within the tested range. However, high variability may indicate that there are unaddressed factors such as the heating and cooling rate of the solutions, the effect of movement of the PP test tubes during the cooling process, or the influence of electrodes and temperature sensor (<xref ref-type="fig" rid="F2">Figure 2</xref>), which are submerged in the liquid during cooling.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Experimental testing results: <bold>(A)</bold> effectiveness of the solution to supercool at different heating times for different solutions; <bold>(B)</bold> electric nucleation effectiveness of different solutions; <bold>(C)</bold> effectiveness of a 55&#xa0;wt% sodium acetate solution to nucleate at different electrode depths; <bold>(D)</bold> effectiveness of a 55&#xa0;wt% sodium acetate solution to nucleate at different distance between electrodes; Error bars present standard deviation (n &#x3d; 30).</p>
</caption>
<graphic xlink:href="fmats-10-1268975-g005.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F5">Figure 5B</xref> shows the shows the success rate of electrical nucleation of SAT crystals for the different supercooled solutions. The graph shows that solutions with higher concentrations are easier to electrically nucleate. Solutions with 56&#xa0;wt% SAT achieve a success rate of 65% (&#xb1;5%) compared to 40&#xa0;wt% SAT solutions with only 33% (&#xb1; 5%) success rate. The highest success rate was achieved with a SAT concentration of 54&#xa0;wt% having an effectiveness to electrically nucleate of 73% (&#xb1; 5%). This is evidence to support the theory that electrical nucleation of the supercooled SAT is triggered by a higher SAT concentration that forms around the surface of the anode due to the electric field generated when applying voltage to the electrodes <xref ref-type="bibr" rid="B19">Wang et al. (2021a)</xref>. Higher number of nucleation sites would therefore be present in the liquid making crystallisation more likely.</p>
<p>The influence of depth submerged and distance between electrodes were also investigated (see <xref ref-type="fig" rid="F2">Figure 2</xref> for experimental set-up). <xref ref-type="fig" rid="F5">Figure 5C</xref> shows that the depth of submersion influences the nucleation success rate. Electrodes with depths below 15&#xa0;mm achieved relatively low success rates between 3% and 13%, compared to depths &#x3e;20&#xa0;mm which had higher success rates in the range of 53%&#x2013;67%. <xref ref-type="fig" rid="F5">Figure 5D</xref> shows that the distance between electrodes weakly affects the success rate for the tested parameters. All distances achieve a nucleation success rate between 50% and 60%, with the distance of 20&#xa0;cm showing the highest rate at 67% (&#xb1;12%). Concluding that depths of &#x3e;20&#xa0;mm are desirable for electric nucleation achieving higher success rates, while gaps between electrodes do not affect the success rate for the tested lengths.</p>
</sec>
<sec id="s3-2">
<title>Mechanical properties</title>
<p>The mechanical properties of the solution when undergoing a phase transition from a liquid to a solid state was investigated to understand the capability of SAT to give adequate stiffness to the linkage nodes in fabrics. The viscosity change of the solution from its liquid to the solid state was measured to capture the change in material properties during crystallisation. The results show that viscosity is a function of SAT concentration with values of 2.66&#xa0;mPa&#xa0;s, 3.28&#xa0;mPa&#xa0;s, and 3.95&#xa0;mPa&#xa0;s for the solutions of 45&#xa0;wt%, 50&#xa0;wt% and 55&#xa0;wt% sodium acetate, respectively (<xref ref-type="fig" rid="F6">Figure 6A</xref>). This shows that the viscosity increases by around 0.6&#x2013;0.7&#xa0;mPa&#xa0;s per 5&#xa0;wt% SAT over this concentration range. At reduced temperatures, the viscosity of the three solutions is shown to remain steady until the phase transition point is reached, and crystal growth can be observed through a rapid increase of viscosity, see <xref ref-type="fig" rid="F6">Figure 6B</xref>. The points at which phase transition is theoretically possible are depicted as dashed lines in <xref ref-type="fig" rid="F6">Figure 6B</xref> and calculated using the following formula (<xref ref-type="bibr" rid="B8">Ma et al., 2017</xref>) where x is the weight percentage of the solution:<disp-formula id="e1">
<mml:math id="m2">
<mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
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<mml:mo>&#x2b;</mml:mo>
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<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">x</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
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<mml:mn>2411.9539</mml:mn>
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<mml:mi mathvariant="normal">x</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1368.4353</mml:mn>
</mml:mrow>
<mml:msup>
<mml:mi mathvariant="normal">x</mml:mi>
<mml:mn>3</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Mechanical testing results: <bold>(A)</bold> Viscosity of sodium acetate solutions at 70&#xa0;&#xb0;C at three different concentrations compared to distilled water (error bars present std deviation (n &#x3d; 9)); <bold>(B)</bold> Viscosity change of three sodium acetate solutions following decreasing temperature (error bars present std deviation (n &#x3d; 9)); <bold>(C)</bold> Viscosity change over increasing torque of three different sodium acetate solutions from a solid state.</p>
</caption>
<graphic xlink:href="fmats-10-1268975-g006.tif"/>
</fig>
<p>The experimental results from <xref ref-type="fig" rid="F6">Figure 6B</xref> demonstrate that solutions with lower SAT concentrations exhibit nucleation at comparatively lower temperatures when contrasted with solutions possessing higher concentrations. These findings affirm the underlying theoretical relationship shown in Eq. <xref ref-type="disp-formula" rid="e1">1</xref>.</p>
<p>Lower-concentration SAT solutions also show a less steep increase in viscosity when approaching the phase transition. Over a temperature range of 3&#xa0;&#xb0;C, the 45&#xa0;wt% solution only reached viscosity of 35&#xa0;Pa&#xa0;s (&#xb1;21&#xa0;Pa&#xa0;s) whereas the 55&#xa0;wt% achieved 5300&#xa0;Pa&#xa0;s (&#xb1;1400&#xa0;Pa&#xa0;s). Corresponding to an increase of viscosity by a factor of 13,000 for 45&#xa0;wt% solution and a factor of 1.3&#xa0;M by the 55&#xa0;wt% solution for the 3&#xb0;C period.</p>
<p>Furthermore, the projected stiffness of the material is indicated to be proportional to the concentration of the solution, as higher concentrated SAT solutions achieve higher viscosities than lower ones, as shown in <xref ref-type="fig" rid="F6">Figure 6C</xref>. Solutions with 45&#xa0;wt% SAT reached a stable viscosity of around 378&#xa0;Pa&#xa0;s (&#xb1;48&#xa0;Pa&#xa0;s) for torques of up to 10&#xa0;mN&#xa0;m, before entering a rapid yielding condition (breaking of the crystals). The viscosity of SAT solids with a concentration of 50&#xa0;wt%, were found to be stable at around 62&#xa0;kPa&#xa0;s (&#xb1;2&#xa0;kPa&#xa0;s) before yielding at a torque of 87&#xa0;mN&#xa0;m and solutions with 55&#xa0;wt% showed a viscosity of 994&#xa0;kPa&#xa0;s (&#xb1;3&#xa0;kPa) with torques up to 200&#xa0;mN&#xa0;m, reaching the limits of the rheometer. Conventional mechanical testing using tensile and compression tests proved challenging due to the low cohesion of the solid SAT samples, which disintegrated during the moulding process.</p>
</sec>
<sec id="s3-3">
<title>Linkage fabric prototype testing</title>
<p>A linkage fabric consisting of 3 &#xd7; 3 arrangement of link nodes with encapsulated SAT solution was fabricated. The linkage fabric demonstrated a clear switch between a flexible and rigid state when the phase change was initiated, see <xref ref-type="fig" rid="F7">Figure 7A</xref>. The phase change from a liquid (flexible) to a solid (rigid) state was nucleated through cooling the fabric below its transition temperature and dropping crystals into the chamber to generate crystal growth. The fabric was clamped at one corner, as shown in <xref ref-type="fig" rid="F7">Figure 7A</xref>, flexible in a x-z plane when the solution was liquid. Made rigid when stretched along the <italic>x</italic>-axis it is able to resist gravitational forces. Applying the flexible structure on a forearm proved the concept of a wearable material, where the linkage structure can create a good fit around the forearm when flexible (<xref ref-type="fig" rid="F7">Figure 7B</xref>) and maintain this shape when transformed to a rigid state (<xref ref-type="fig" rid="F7">Figure 7C</xref>).</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Two-dimensional linkage fabric: <bold>(A)</bold> flexible state of the fabric with the solution in liquid from (2) and fabric when the solution is solid (1); <bold>(B)</bold> fabric in liquid state wrapped around forearm; <bold>(C)</bold> fabric in solid state while maintaining curvature of forearm.</p>
</caption>
<graphic xlink:href="fmats-10-1268975-g007.tif"/>
</fig>
<p>Although the fabric showed the desired locking behaviour and rigidity, mechanical tests showed that the strength imparted to the joints through solidification of SAT was small. The structure was found to be incapable of withstanding loads exceeding 10&#xa0;g, above which it underwent structural failure at the nodes. We then looked at the reusability of the phase change material after its nucleation. Here, we identified challenges stemming from the inherent difficulty of reheating the structure without causing water evaporation or any form of the SAT leakage, thereby hindering the potential for cyclic use of this fabric design.</p>
<p>To test the potential of electrical nucleation in this design concept, a combination of three bigger-sized links was assembled into a simple one-dimensional linkage fabric able to deform in three degrees of freedom (x-y plane and rotation around the <italic>z</italic>-axis). <xref ref-type="fig" rid="F8">Figure 8A</xref> shows this structure in both the flexible and rigid state. The structure could be moved freely when all links are set in a flexible state, the sodium acetate solutions being liquid. Upon electrical nucleation of the supercooled SAT the structure was stiffened within 1&#x2013;5&#xa0;s, fixating the movable shaft structure in position. The flexibility of movement of the shaft was restored by reheating the solution in the link structure using a hot water bath at 80&#xb0;C.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>One dimensional linkage structure: <bold>(A)</bold> flexible state of the structure with a solution in liquid form (2) and structure when the solution is solid without weight attached (1) with dots symbolising curvature calculation points; <bold>(B)</bold> plot showing the curvature of the structure measured as a function of weight.</p>
</caption>
<graphic xlink:href="fmats-10-1268975-g008.tif"/>
</fig>
<p>The stiffness of the fixed fabric was tested by applying a load upon its free movable end and fixating it at the other. Curvature k was measured as shown in <xref ref-type="fig" rid="F8">Figure 8A</xref> and calculated using the following formula, where x and y are the coordinates of the points as indicated in <xref ref-type="fig" rid="F8">Figure 8A</xref>:<disp-formula id="e2">
<mml:math id="m3">
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="|" close="|" separators="|">
<mml:mrow>
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<mml:mrow>
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<mml:mi>x</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:msup>
<mml:mi>y</mml:mi>
<mml:mo>&#x2033;</mml:mo>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mi>y</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:msup>
<mml:mi>x</mml:mi>
<mml:mo>&#x2033;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msup>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mo>&#x2032;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mo>&#x2032;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>/</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>
<xref ref-type="fig" rid="F8">Figure 8B</xref> shows that the stiffened structure bent as the load increased reaching the curvature of the flexible structure when subjected to loads of 50&#xa0;g. Heating up the links restored the linkage fabric flexibility. However, cyclic heating and stiffness of the link prototype proved difficult due to the degradation of the SAT solution. This resulted in observed decreased effectiveness of supercooling. After one to three cycles of nucleation and reheating the solutions were not able to supercool anymore. This is likely to be due to concentration changes in the SAT solution due to water evaporation due to the liquid being able to penetrate connection points between the elastic cover and electrodes/movable shaft structure when in motion. We also found that the 3D-printed plastics (photo polymeric resins) are not optimum to achieve repeated nucleation of the SAT because water absorption and evaporation through the plastic were observed when stored for multiple days and weeks.</p>
<p>Concerns about the cyclability of SAT (for thermal energy storage applications) have been previously mentioned in the literature (<xref ref-type="bibr" rid="B5">Hu et al., 2011</xref>; <xref ref-type="bibr" rid="B19">Wang et al., 2021a</xref>). The use of different vessel materials and better seals might improve cyclability (<xref ref-type="bibr" rid="B19">Wang et al., 2021a</xref>). However, as with all salt hydrates, SAT also suffers from phase separation over repeated cycles, reducing the heat storage capacity of the material as mentioned by (<xref ref-type="bibr" rid="B2">Dannemand et al., 2015</xref>). The addition of water has been cited as an effective way to increase cyclability while decreasing the energy density of the material (<xref ref-type="bibr" rid="B1">Araki et al., 1995</xref>). Others have used thickening agents such as carboxyl methyl cellulose (CMC) to reduce the phase separation in the solution over repeated cycles, however it has a detrimental impact on the supercooling effect (<xref ref-type="bibr" rid="B13">Ryu et al., 1992</xref>; <xref ref-type="bibr" rid="B5">Hu et al., 2011</xref>). There is also a need for further research to investigate the mechanical effects of additives to SAT before the true capabilities of the material&#x2019;s use to stiffen linkage structures can be fully assessed.</p>
<p>Although there are issues to solve, what this work shows is the potential of the approach. We set out the novel approach that Sodium Acetate Trihydrate can be used as a stiffening agent at linkage nodes for a fabric structure without need of a constant energy supply. The use of phase change materials with the ability to transform from a low viscosity liquid to a stiff and strong solid rapidly upon electrical nucleation, opens a new possibility on stiffening in fluid actuated soft robots. Difficulties remain for the use of SAT, in terms of cyclability, mechanical properties and storage, nevertheless the work clearly shows that the concept does have clear promise and the search for a more ideal phase change material could result in significant progress.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s4">
<title>Conclusion</title>
<p>We have shown the novel use of the phase change material sodium acetate trihydrate (SAT) to create mechanical stiffening through electric nucleation of the supercooled SAT solution. A material concentration of 55&#xa0;wt% SAT was shown to be optimum for this application in terms of electric nucleation effectiveness and mechanical properties. We integrated SAT into a 3 &#xd7; 3 two-dimensional fabric structure showing the capabilities of the material to induce mechanical stiffening within the fabric. We also prototyped a one-dimensional linkage fabric, showing that electrical actuation works and results in fabric rigidity without the continual application of power. Our study presents a novel advancement in the use of SAT for mechanical stiffening through electric nucleation of linkage structures. Our results establish a compelling foundation for future research in the field of phase change actuated linkage fabrics.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The raw data supporting the conclusion of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>CP: Conceptualization, Methodology, Writing&#x2013;original draft. EP: Conceptualization, Methodology, Supervision, Validation, Writing&#x2013;review and editing. DP: Project administration, Writing&#x2013;review and editing. MMc: Project administration, Supervision, Writing&#x2013;review and editing. MMo: Project administration, Resources, Supervision, Writing&#x2013;review and editing.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This work was funded by the UKRI under grant EP/V011804/1; the UCL Institute of Making and the University College London, which we gratefully acknowledge.</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s9">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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