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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">80</journal-id>
      <journal-id journal-id-type="index">urn:lsid:arphahub.com:pub:3CDB4662-2EEC-55B0-878A-88F876A7F403</journal-id>
      <journal-title-group>
        <journal-title xml:lang="en">Modern Electronic Materials</journal-title>
        <abbrev-journal-title xml:lang="en">MoEM</abbrev-journal-title>
      </journal-title-group>
      <issn pub-type="ppub">2452-2449</issn>
      <issn pub-type="epub">2452-1779</issn>
      <publisher>
        <publisher-name>NUST MISiS</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.3897/j.moem.10.1.121618</article-id>
      <article-id pub-id-type="publisher-id">121618</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Research Article</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Characterisation of low-cost stretchable strain sensors for wearable devices</article-title>
      </title-group>
      <contrib-group content-type="authors">
        <contrib contrib-type="author" corresp="yes">
          <name name-style="western">
            <surname>Njovana</surname>
            <given-names>Moses T.</given-names>
          </name>
          <email xlink:type="simple">njovanamosest@gmail.com</email>
          <uri content-type="orcid">https://orcid.org/0009-0006-1343-1776</uri>
          <xref ref-type="aff" rid="A1">1</xref>
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name name-style="western">
            <surname>Kgwadi</surname>
            <given-names>Monageng</given-names>
          </name>
          <xref ref-type="aff" rid="A1">1</xref>
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name name-style="western">
            <surname>Sheikh</surname>
            <given-names>Sajid M.</given-names>
          </name>
          <xref ref-type="aff" rid="A1">1</xref>
        </contrib>
      </contrib-group>
      <aff id="A1">
        <label>1</label>
        <addr-line content-type="verbatim">University of Botswana, Gaborone, Botswana</addr-line>
        <institution>University of Botswana</institution>
        <addr-line content-type="city">Gaborone</addr-line>
        <country>Botswana</country>
      </aff>
      <author-notes>
        <fn fn-type="corresp">
          <p>Corresponding author: Moses T. Njovana (njovanamosest@gmail.com)</p>
        </fn>
      </author-notes>
      <pub-date pub-type="collection">
        <year>2024</year>
      </pub-date>
      <pub-date pub-type="epub">
        <day>03</day>
        <month>04</month>
        <year>2024</year>
      </pub-date>
      <volume>10</volume>
      <issue>1</issue>
      <fpage>37</fpage>
      <lpage>49</lpage>
      <uri content-type="arpha" xlink:href="http://openbiodiv.net/17DE1908-8588-5183-867C-D7C6C570901B">17DE1908-8588-5183-867C-D7C6C570901B</uri>
      <history>
        <date date-type="received">
          <day>25</day>
          <month>02</month>
          <year>2024</year>
        </date>
        <date date-type="accepted">
          <day>27</day>
          <month>05</month>
          <year>2024</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>Moses T. Njovana, Monageng Kgwadi, Sajid M. Sheikh</copyright-statement>
        <license license-type="creative-commons-attribution" xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">
          <license-p>This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
        </license>
      </permissions>
      <abstract>
        <label>Abstract</label>
        <p>This paper presents the characterisation of the three distinct materials considered to be used as a resistance-type strained-based sensor on a wearable device. Other performance parameters besides the usual linearity, sensitivity, working range, and hysteresis were also considered. These included the resistance variations caused by a changing temperature, the effects of moisture on the sensor's resistance, and the stress coefficient of resistance. These were necessitated by the nature of the operational environment of most wearable sensors, which may entail the heat introduced to the sensor due to its proximity to the human body, the moisture from perspiration and the limited amount of force that a feeble patient say, can be able to exercise on the sensor. The selected sensor had a high degree of linearity, as established using the linear regression model (<italic>R</italic><sup>2</sup> = 0.94), had a decent sensitivity (gauge factor = 1.7), a working range of at least 30% strain, and suffered insignificant hysteresis (6.3%). This sensor also had a moderate stress coefficient of resistance (0.11%/KPa) and was unaffected by the changes in temperature and moisture. And the best part is that it is also low-cost.</p>
      </abstract>
      <kwd-group>
        <label>Keywords</label>
        <kwd>e-textiles</kwd>
        <kwd>gauge factor</kwd>
        <kwd>stress coefficient of resistance</kwd>
        <kwd>temperature coefficient of resistance</kwd>
        <kwd>wearable device</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec sec-type="1. Introduction" id="SECID0EJD">
      <title>1. Introduction</title>
      <p>Recent technological advances enabling smart wearable healthcare and long-term and remote health monitoring, such as the Internet of Things, artificial intelligence, the Metaverse, and 5G mobile communication, have created a high demand for high-performance biosensors and e-textiles [<xref ref-type="bibr" rid="B1 B2 B3 B4 B5 B6 B7">1–7</xref>]. Apart from the biosensor meeting the performance requirements, the sensors should also be readily available and low-cost to make them applicable to developing countries.</p>
      <p>At the heart of every Biosensor is a sensing element, which is essentially a physicochemical transducer that may be optical, piezoresistive, piezoelectric, or electromechanical that detects and converts a biological signal such as pressure, pH, or body heat into a digitally recognisable and measurable signal such as current or voltage [<xref ref-type="bibr" rid="B8">8</xref>, <xref ref-type="bibr" rid="B9">9</xref>]. Some examples of the innovations include the optical-based sensors [<xref ref-type="bibr" rid="B10 B11 B12 B13 B14 B15 B16">10–16</xref>], the piezoresistive [<xref ref-type="bibr" rid="B17 B18 B19 B20">17–20</xref>] and the piezoelectric ones [<xref ref-type="bibr" rid="B21 B22 B23 B24 B25">21–25</xref>].</p>
      <p>However, wearable strain sensors have been of keen interest because of their diverse applications in personalised health monitoring, human motion detection, and human-machine interfaces [<xref ref-type="bibr" rid="B26 B27 B28">26–28</xref>].</p>
      <p>Strain sensors transduce mechanical deformations into electrical signals. The two main types are resistance and capacitive strain sensors [<xref ref-type="bibr" rid="B29">29</xref>]. The former has a slight edge over the latter as those typically tend to have a higher gauge factor, have a better form factor (for integration onto textiles or skin), have a better anti-interference ability, have better stretchability, and are overall more affordable to implement [<xref ref-type="bibr" rid="B30 B31 B32">30–32</xref>].</p>
      <p>This paper presents the performance considerations, the experiments undertaken in investigating these considerations, and the results obtained from the said experiments when deciding the most suitable resistive-type strain sensor from amongst three discreet sensor samples. Although plenty of works have reported such evaluations [<xref ref-type="bibr" rid="B32 B33 B34 B35 B36 B37 B38">32–38</xref>], what sets this work apart is the details it goes into when assessing other characteristics that are hardly mentioned in these previous works, such as the Stress Coefficient of resistance, the effects of other confounding factors such as moisture and temperature fluctuations.</p>
    </sec>
    <sec sec-type="materials|methods" id="SECID0E6E">
      <title>2. Material and methods</title>
      <p>Resistive-type sensors are typically composed of electrically conductive sensing films such as silver nanowires or graphite integrated with a flexible material such as rubber. When composite structures are stretched, microstructural changes in the sensing films lead to a change in electrical resistance as a function of the applied strain. After the release of the strain, realignment of the sensing films to their original states recovers the electrical resistance of sensors, albeit sometimes not perfectly so [<xref ref-type="bibr" rid="B39">39</xref>, <xref ref-type="bibr" rid="B40">40</xref>].</p>
      <p>All the sensors considered in this paper are materials whose electrical resistance alters when a strain is applied. The sensors’ properties are summarised in Table <xref ref-type="table" rid="T1">1</xref> below.</p>
      <p>From the composite material, one may conclude that all these strain-based sensors are flexible, lightweight, and durable. An essential attribute of these sensors for their intended use is that they do not suffer from permanent distortion after being strained. This is demonstrated by the Resistance vs. Time graphs that show the “resistance profile” after subjecting the sensors to seven-cycle tensile testing, as illustrated in Fig. <xref ref-type="fig" rid="F1">1</xref> below.</p>
      <p>It was noted that all these graphs also demonstrate what other authors, such as [<xref ref-type="bibr" rid="B41">41</xref>, <xref ref-type="bibr" rid="B42">42</xref>] and [<xref ref-type="bibr" rid="B43">43</xref>], have previously reported, and that is the unstretched resistance in the first cycle is significantly lower than that of the subsequent cycles, wherein it becomes relatively more stable.</p>
      <fig id="F1" position="float" orientation="portrait">
        <object-id content-type="arpha">9A212215-2BF2-5CF7-A789-E96AB51494A7</object-id>
        <label>Figure 1.</label>
        <caption>
          <p>Resistance against time profiles during 7 stretch cycles for: (<italic>a</italic>) sensor 1; (<italic>b</italic>) sensor 2; (<italic>c</italic>) sensor 3</p>
        </caption>
        <graphic xlink:href="moem-10-e121618-g001.jpg" position="float" orientation="portrait" xlink:type="simple" id="oo_1083085.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1083085</uri>
        </graphic>
      </fig>
      <table-wrap id="T1" position="float" orientation="portrait">
        <label>Table 1.</label>
        <caption>
          <p>The properties of the sensor samples under consideration</p>
        </caption>
        <table id="TID0EE5AG" rules="all">
          <tbody>
            <tr>
              <th rowspan="1" colspan="1">Sensor ID number*</th>
              <th rowspan="1" colspan="1">Sensor name**</th>
              <th rowspan="1" colspan="1">Composite material</th>
              <th rowspan="1" colspan="1">Unstretched length (m)</th>
              <th rowspan="1" colspan="1">Unstretched resistance (Ω)</th>
              <th rowspan="1" colspan="1">Cross-sectional area (m<sup>2</sup>)</th>
              <th rowspan="1" colspan="1">Image</th>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">1</td>
              <td rowspan="1" colspan="1">Thread</td>
              <td rowspan="1" colspan="1">Cotton and nano platted with silver</td>
              <td rowspan="1" colspan="1">1.15 · 10<sup>-1</sup></td>
              <td rowspan="1" colspan="1">42</td>
              <td rowspan="1" colspan="1">2.0 · 10<sup>-7</sup></td>
              <td rowspan="1" colspan="1"/>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">2</td>
              <td rowspan="1" colspan="1">Fabric</td>
              <td rowspan="1" colspan="1">Silver-plated, knitted nylon and elastomer</td>
              <td rowspan="1" colspan="1">2.2 · 10<sup>-2</sup></td>
              <td rowspan="1" colspan="1">4</td>
              <td rowspan="1" colspan="1">1.4 · 10<sup>-5</sup></td>
              <td rowspan="1" colspan="1"/>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">3</td>
              <td rowspan="1" colspan="1">Rubber</td>
              <td rowspan="1" colspan="1">Carbon-black Impregnated Rubber</td>
              <td rowspan="1" colspan="1">5.5 · 10<sup>-2</sup></td>
              <td rowspan="1" colspan="1">650</td>
              <td rowspan="1" colspan="1">3.1 · 10<sup>-6</sup></td>
              <td rowspan="1" colspan="1"/>
            </tr>
            <tr>
              <td rowspan="1" colspan="7"/>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p><italic>Note</italic>: * The sensor number will be what is used to identify each of the sensors in remainder of the document. ** The sensor names are neither the technical nor the manufacturer’s issued names, but rather an arbitrary identification that best distinguished the sensors for the authors’ convenience.</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <p>These graphs also show that sensor 1 has the most significant response time. While sensor 2 and sensor 3 have approximately the same response time. This phenomenon, the authors speculate, most likely has something to do with the fact that the thread-based sensor has the most considerable absolute change in resistance.</p>
      <sec sec-type="2.1. Experimental details" id="SECID0EIG">
        <title>2.1. Experimental details</title>
        <p>This study's primary objective was establishing the most suitable strain-based sensor between the three options. In this context, the ideal material is the one that has a good stretch ability as well as superior electrical performance. The resistance should vary relatively linearly with the strain (stretch) of the sensor. Additionally, external factors such as temperature and moisture should not affect its precision.</p>
      </sec>
      <sec sec-type="2.2. Experimental setup" id="SECID0ENG">
        <title>2.2. Experimental setup</title>
        <p>The first and most important relationship that the authors investigated was that of electrical resistance against the sensors’ strain. The typical design for this investigation is to use a variation of a tensile Instron device as given in other works [<xref ref-type="bibr" rid="B41">41</xref>, <xref ref-type="bibr" rid="B44">44</xref>, <xref ref-type="bibr" rid="B45">45</xref>]. The basic idea of a tensile test is to place a sample of a material between two fixtures called "grips", which clamp the material of known dimensions. An incremental load is applied to the material gripped at one end while the other is fixed. The change in length (strain) of the sample is simultaneously measured. Some examples of such equipment are given in Fig. <xref ref-type="fig" rid="F2">2</xref> below.</p>
        <p>However, this setup costs a small fortune and is somewhat of a rare find in this part of the world. Fortunately, in the absence of one, and for investigating the stretch caused by small loads, this experimental setup could be recreated with the run-of-the-mill physics laboratory apparatus as done in works such as [<xref ref-type="bibr" rid="B2">2</xref>]. This setup is shown in Fig. <xref ref-type="fig" rid="F3">3</xref> below.</p>
        <p>The change in length of the sensor was recorded against the change in resistance for both the loading and unloading phases.</p>
        <p>From this setup, the results of the sensors’ specimen change in electrical resistance against strain were found.</p>
        <fig id="F2" position="float" orientation="portrait">
          <object-id content-type="arpha">F009E3CE-AAF1-5C04-9E45-9402DF4655EB</object-id>
          <label>Figure 2.</label>
          <caption>
            <p>The typical setup for Instron tensile tester as given by: (<italic>a</italic>) in [<xref ref-type="bibr" rid="B41">41</xref>]; (<italic>b</italic>) in [<xref ref-type="bibr" rid="B41">41</xref>]; and (<italic>c</italic>) in [<xref ref-type="bibr" rid="B44">44</xref>]</p>
          </caption>
          <graphic xlink:href="moem-10-e121618-g002.jpg" position="float" orientation="portrait" xlink:type="simple" id="oo_1083086.jpg">
            <uri content-type="original_file">https://binary.pensoft.net/fig/1083086</uri>
          </graphic>
        </fig>
        <fig id="F3" position="float" orientation="portrait">
          <object-id content-type="arpha">B906FC4A-33A6-5BE0-9D08-F25C1BFF688A</object-id>
          <label>Figure 3.</label>
          <caption>
            <p>Experimental setup used to measure the effect of strain on resistance used in this work</p>
          </caption>
          <graphic xlink:href="moem-10-e121618-g003.jpg" position="float" orientation="portrait" xlink:type="simple" id="oo_1083087.jpg">
            <uri content-type="original_file">https://binary.pensoft.net/fig/1083087</uri>
          </graphic>
        </fig>
      </sec>
    </sec>
    <sec sec-type="3. Theory" id="SECID0EPH">
      <title>3. Theory</title>
      <sec sec-type="3.1. Performance considerations" id="SECID0ETH">
        <title>3.1. Performance considerations</title>
        <p>The performance considerations under investigation for these sensors include those put forward by authors such as Amjadi M. et al. [<xref ref-type="bibr" rid="B29">29</xref>]. These are sensitivity, linearity, working range and hysteresis.</p>
        <p>Apart from these commonly investigated parameters, this work investigated other confounding factors, namely temperature changes and moisture effects.</p>
        <p>These considerations are summarised below.</p>
        <sec sec-type="3.1.1. Sensitivity" id="SECID0EAAAC">
          <title>
            <italic>3.1.1. Sensitivity</italic>
          </title>
          <p>The central aspect of the sensitivity of the sensors that is under investigation is known as the <italic>Strain Sensitivity Coefficient</italic>, commonly known as the <italic>Gauge Factor</italic> (<italic>k</italic><sub>ε</sub>). It is given by:</p>
          <p><mml:math id="M1"><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>ε</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mo>(</mml:mo><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mfrac><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>l</mml:mi></mml:mrow><mml:msub><mml:mi>l</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mfrac><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:math>(1)</p>
          <p>where <italic>R</italic><sub>0</sub> and <italic>l</italic><sub>0</sub> are the unstretched resistance and unstretched length, respectively, while Δ<italic>R</italic> is the value of resistance change for a change in length (a stretch) of Δ<italic>l</italic>.</p>
          <p>The ratio of the increase in length to the original length ∆<italic>l</italic>/<italic>l</italic><sub>0</sub> is commonly referred to as the <italic>Strain</italic>, given by ε.</p>
          <p>Therefore Eq. (1) above can be written as:</p>
          <p><mml:math id="M2"><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi>ε</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mo>(</mml:mo><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mfrac><mml:mo>)</mml:mo></mml:mrow><mml:mi>ε</mml:mi></mml:mfrac><mml:mo>.</mml:mo></mml:math>(2)</p>
          <p>The gauge factor, a dimensionless quantity, can be found by calculating the gradient of the characteristic curve on a graph of resistance change against strain. The ideal sensor would have the most significant gauge factor, meaning it has a high sensitivity to strain. This would make it better at detecting slight changes in strain as these would show significant changes in resistance, increasing the precision of the strain-based sensor [<xref ref-type="bibr" rid="B46">46</xref>].</p>
          <p>Another sensitivity dimension seldom discussed when analysing the suitability of strain-based sensors is the <italic>Stress Sensitivity Coefficient</italic> (<italic>k</italic><sub>σ</sub>). It measures the force per unit area of the sensor required to cause a resulting resistance change [<xref ref-type="bibr" rid="B47">47</xref>]. It is given by:</p>
          <p><mml:math id="M3"><mml:msub><mml:mi>k</mml:mi><mml:mi>σ</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mo>(</mml:mo><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mfrac><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mfrac><mml:mi>F</mml:mi><mml:mi>A</mml:mi></mml:mfrac><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:math>(3)</p>
          <p>where <italic>R</italic><sub>0</sub> is the initial resistance before applying any load, Δ<italic>R</italic> is the resistance change caused by a certain amount of load applied per unit cross-sectional area. <italic>F</italic> and <italic>A</italic> are the loads applied to the sensor sample and the sensor sample's cross-sectional area, respectively. The force per unit area, <italic>F</italic>/<italic>A</italic> is called the <italic>Stress</italic> (σ). Therefore, Eq. (3) above can be written as:</p>
          <p><mml:math id="M4"><mml:msub><mml:mi>k</mml:mi><mml:mi>σ</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mo>(</mml:mo><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mfrac><mml:mo>)</mml:mo></mml:mrow><mml:mi>σ</mml:mi></mml:mfrac><mml:mo>.</mml:mo></mml:math>(4)</p>
          <p>If the force is in Newtons (N) and the Cross-Sectional Area is in square meters (m<sup>2</sup>), then the units for σ are given in Newtons per Square meter (N/m<sup>2</sup>) or Pascals (Pa), Where 1 N/m<sup>2</sup> = 1 Pa. Therefore, the units for <italic>k</italic><sub>σ</sub> are “per pascal” (Pa<sup>-1</sup>). For this work, the sensor with the more significant value of <italic>k</italic><sub>σ</sub> was preferred because of its more diverse applications – the sensor gives a large resistance output for a small value of stress.</p>
          <p>The experimental setup used for finding <italic>k</italic><sub>ε</sub> and <italic>k</italic><sub>σ</sub> is already shown in Fig. <xref ref-type="fig" rid="F3">3</xref> above.</p>
        </sec>
        <sec sec-type="3.1.2. Linearity" id="SECID0EBHAC">
          <title>
            <italic>3.1.2. Linearity</italic>
          </title>
          <p>Linearity refers to the sensor’s ability to exhibit a consistent and proportional change in resistance with increased strain. Ideally, a perfect sensor would show a straight-line relationship on a graph of resistance against strain, indicating that the resistance changes linearly with strain. However, as authors such as [<xref ref-type="bibr" rid="B48">48</xref>, <xref ref-type="bibr" rid="B49">49</xref>] have already reported, most resistance-based strain sensors suffer from non-linearity, if only for a specific strain range.</p>
          <p>The nonlinearity of sensors makes their calibration process significantly more complicated, time-consuming, and costly. It also leads to reduced precision and resolution and makes overall system integration difficult, requiring additional circuitry, signal conditioning and sophisticated algorithms [<xref ref-type="bibr" rid="B29">29</xref>].</p>
          <p>To find the Linear portion of the sensors under testing, the <italic>linear fit</italic> was found by computing the linear regression of the first order of the averaged values of the loading and unloading phases of the sensors. The “fitness” of this linear fit was confirmed in each case by visual inspection and calculating the Coefficient of Determination (<italic>R</italic><sup>2</sup>). The relationship between the change in resistance and strain was only considered linear for the strain range of values when <italic>R</italic><sup>2</sup> was significantly large (<italic>R</italic><sup>2</sup> ≥ 0.9). This region was considered the <italic>Working Range</italic> of the sensor.</p>
        </sec>
        <sec sec-type="3.1.3. Working range" id="SECID0EHIAC">
          <title>
            <italic>3.1.3. Working range</italic>
          </title>
          <p>Resistive-type strain sensors with a wide working range are preferred because they can measure a broader spectrum of strain input values, allowing them to be used in diverse applications. They also tend to be more cost-effective, as using a single sensor with a wide range is better than procuring, installing, and maintaining multiple sensors to cover different measurement ranges.</p>
          <p>In some cases, a more prominent gauge factor may limit the range of strain that can be accurately measured [<xref ref-type="bibr" rid="B50">50</xref>]. In such instances, the relationship between the change in resistance and the strain tends to become non-linear after applying a certain amount of strain. This behaviour is typical of strain-based resistive sensors, as demonstrated by the works of authors such as [<xref ref-type="bibr" rid="B51 B52 B53">51–53</xref>]. For the context of this work, the working range was the portion of the graph in which the resistance change and the change in strain were proportional.</p>
          <p>While evaluating these three sensors, the preferred sensor would have a wider working range.</p>
        </sec>
        <sec sec-type="3.1.4. Hysteresis" id="SECID0E1IAC">
          <title>
            <italic>3.1.4. Hysteresis</italic>
          </title>
          <p>The hysteresis of a resistive-type strain sensor is the phenomenon where the output electrical resistance of the sensor for a given strain on the loading cycle is not equal to the electrical resistance for that same strain on the unloading cycle [<xref ref-type="bibr" rid="B54">54</xref>]. Ideally, the sensor would have the same resistance at that strain point regardless of whether it is loading or unloading, so one strain value can always be measured with one resistance value without knowing which cycle the sensor is in.</p>
          <p>The hysteresis, represented by γ<italic><sub>H</sub></italic>, can be given as a percentage given by:</p>
          <p><mml:math id="M5"><mml:msub><mml:mi>γ</mml:mi><mml:mi>H</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mrow><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mfrac><mml:mo>×</mml:mo><mml:mn>100</mml:mn></mml:math>(5)</p>
          <p>where <italic>A</italic><sub>L</sub> and <italic>A</italic><sub>U</sub> are the areas of the Loading and Unloading characteristic curves, respectively.</p>
          <p>When this equation cannot be used to find the value of hysteresis, one could approximate the sensor with the most prominent hysteresis by visual inspection. This is especially the case when comparing the hystereses of a limited number of sensors. The sensor whose resistance-strain graph has the most significant deviation from the characteristic curve has the most considerable hysteresis and vice-versa.</p>
          <p>The hysteresis of a resistance-type strain sensor can be attributed to various factors, including material properties, mechanical design, and manufacturing processes. Works such as those by [<xref ref-type="bibr" rid="B55 B56 B57">55–57</xref>] go into a detailed investigation concerning this, whereas [<xref ref-type="bibr" rid="B58">58</xref>, <xref ref-type="bibr" rid="B59">59</xref>] discuss some of the possible means, at least through fabrication considerations, to mitigate this.</p>
          <p>A large hysteresis is undesirable because it can introduce errors in strain measurements by reducing the sensors’ accuracy, reliability, and stability, especially when the strain is applied cyclically or in dynamic applications [<xref ref-type="bibr" rid="B2">2</xref>]. Therefore, in this work, a sensor with a small hysteresis was preferred to one with a large hysteresis.</p>
          <p>All these tests mentioned above were performed at room temperature.</p>
        </sec>
      </sec>
      <sec sec-type="3.2. Other confounding factors" id="SECID0EKLAC">
        <title>3.2. Other confounding factors</title>
        <p>The final factors to be investigated were temperature and moisture and how they might affect the resistance output of the sensors.</p>
        <sec sec-type="3.2.1. Thermal stability" id="SECID0EPLAC">
          <title>
            <italic>3.2.1. Thermal stability</italic>
          </title>
          <p>Usually, strain-based sensors are tested and calibrated at room temperature (approx. 20 °C to 25 °C), or authors are completely mute about that aspect in their works. However, the intended end use for sensors was for wearable devices on a human body with a core temperature of around 36.5 °C or much higher than that in infants or when an adult patient is febrile [<xref ref-type="bibr" rid="B60">60</xref>]. Furthermore, some resistance-based strain sensors have been reported to increase in temperature over time as current passes through them in a process called self-heating caused by the excitation voltage [<xref ref-type="bibr" rid="B61">61</xref>, <xref ref-type="bibr" rid="B62">62</xref>]. The work by [<xref ref-type="bibr" rid="B63">63</xref>, <xref ref-type="bibr" rid="B64">64</xref>] concludes that temperature variations may introduce errors in resistance-strain readings if not appropriately compensated for.</p>
          <p>This work investigated the relationship between temperature and electrical resistance output for each of the sensors at their unstretched length and Load of 0.0N.</p>
          <p>In this investigation, the temperature was varied from approx. 0 °C to about 65 °C. This temperature range was of interest as the operation temperature range (for wearable devices) is well within this range, even after accounting for the temperature increase that has been associated with some resistance-based strain sensors mentioned earlier.</p>
          <p>The varying temperatures were measured by a <italic>K</italic>-type thermocouple (nickel–chromium–Nisil), with a range from –20 °C to 1000 °C, a resolution of 1 °C and an accuracy and count of ±(1.0%+5).</p>
          <p>The thermic ascent to the sensors was caused and controlled by altering the height of an infrared lamp above the sensors, as shown in Fig. <xref ref-type="fig" rid="F4">4</xref> below. It was inspired by the setup in the work by [<xref ref-type="bibr" rid="B64">64</xref>].</p>
          <fig id="F4" position="float" orientation="portrait">
            <object-id content-type="arpha">CCAEEBE6-2F76-5D40-B499-231714DF74B8</object-id>
            <label>Figure 4.</label>
            <caption>
              <p>The experimental setup for thermal ascent</p>
            </caption>
            <graphic xlink:href="moem-10-e121618-g004.jpg" position="float" orientation="portrait" xlink:type="simple" id="oo_1083088.jpg">
              <uri content-type="original_file">https://binary.pensoft.net/fig/1083088</uri>
            </graphic>
          </fig>
          <p>The relationship between temperature and resistance is called the <italic>Temperature Coefficient of Resistance</italic> (TCR), represented by α<sub>t</sub>. The TCR indicates how much the resistance of a sensor changes with respect to temperature [<xref ref-type="bibr" rid="B65">65</xref>]. For a temperature range that is not too great, this variation can be represented approximately as a linear relation:</p>
          <p><italic>R<sub>T</sub></italic> = <italic>R<sub>T</sub></italic><sub>0</sub>[1 + α<italic><sub>T</sub></italic> (<italic>T</italic> – <italic>T</italic><sub>0</sub>)], (6)</p>
          <p>where <italic>R<sub>T</sub></italic> and <italic>R<sub>T</sub></italic><sub>0</sub> are the resistances at temperatures of <italic>T</italic> and <italic>T</italic><sub>0</sub>, respectively. <italic>T</italic><sub>0</sub> is often taken as room temperature or 0 °C. Rearranging Eq. (6) above gives:</p>
          <p><mml:math id="M7"><mml:mfrac><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi>T</mml:mi><mml:mrow><mml:mi mathvariant="normal">∞</mml:mi></mml:mrow></mml:msubsup><mml:mo>−</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mfrac><mml:mo>=</mml:mo><mml:msub><mml:mi>α</mml:mi><mml:mi>T</mml:mi></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>−</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math>(7)</p>
          <p>Which can also be presented as:</p>
          <p><mml:math id="M8"><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mfrac><mml:mo>=</mml:mo><mml:msub><mml:mi>α</mml:mi><mml:mi>T</mml:mi></mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>,</mml:mo></mml:math>(8)</p>
          <p>where ∆<italic>R</italic> is the resistance change of the sensor due to a temperature change of ∆<italic>T.</italic> This means that from a graph plotted of ∆<italic>R</italic>/<italic>R<sub>T</sub></italic><sub>0</sub> against ∆<italic>T</italic>, the gradient will give the Thermal Coefficient of Resistance.</p>
          <p>To confirm that the resistance change correlated to temperature change, the authors recorded, plotted, and compared the values for resistance when the temperature was being increased from minimum to maximum with those when the temperature was being decreased in the reverse order. The cooling of the sensors was done by placing each of the sensors’ samples in turn atop a generic 12706 thermoelectric cooling module that makes use of the Peltier principal to actively cool the temperature of one side of its two plates to as low as –30 °C [<xref ref-type="bibr" rid="B66">66</xref>, <xref ref-type="bibr" rid="B67">67</xref>].</p>
          <p>The sensor with the most negligible absolute Temperature Coefficient of Resistance is a more desirable one as it indicates that the sensor has greater thermal stability, meaning it exhibits minimal electrical resistance changes with temperature variations. This stability allows for more accurate and reliable temperature measurements over a wide range of temperatures. It also means less design and calibration considerations must be put towards temperature compensation when integrating the sensor for most real-world applications.</p>
        </sec>
        <sec sec-type="3.2.2. Moisture effects" id="SECID0EGBAE">
          <title>
            <italic>3.2.2. Moisture effects</italic>
          </title>
          <p>Although the effects of moisture on resistive-type strain sensors have been thoroughly investigated in works such as [<xref ref-type="bibr" rid="B68 B69 B70 B71 B72 B73">68–73</xref>], in this body of work the authors will compare the differences in the Resistance change vs. Strain graphs for the wet, irrigated sensor, versus one that is dry (at a relative humidity of between 20 to 50%) to identify the sensor who’s resistance output might be affected the most by the various moisture for reasons already highlighted in works such as [<xref ref-type="bibr" rid="B74">74</xref>], i.e. how water molecules may sometimes act as an electrolyte and introduce conductive pathways.</p>
          <p>This was an important aspect to investigate as the end use of the sensor will be as a wearable device and things such as human sweat tend to occur, not to mention the relative humidity that spontaneously may rise in the atmosphere from time to time. The sensor with the Change in Resistance vs. Strain that varies the least (ideally identical to) when the sensor is subject to moisture vs. when under dry conditions may be considered the most desirable.</p>
        </sec>
      </sec>
    </sec>
    <sec sec-type="4. Results and discussion" id="SECID0EYBAE">
      <title>4. Results and discussion</title>
      <p>According to the presented results in Fig. <xref ref-type="fig" rid="F5">5</xref>, the following could be ascertained: sensor 1 had the greatest <italic>k</italic><sub>ε</sub> (4.5), whilst sensor 2 and sensor 3 had similar gauge factors of about 1.7. This gauge factor is not too far off from that found in other works such as [<xref ref-type="bibr" rid="B75 B76 B77 B78">75–78</xref>]. However, sensor 3 had the most extensive working range of all three, with at least 30% strain, compared to sensor 2, which had slightly more than half of that.</p>
      <p>It shall remain inconclusive for this work whether the working range of sensor 3 is much more extensive than the one presented. This is because the authors stopped applying the strain, not because the stretch limit was reached, as was the case for sensor 1 and sensor 2, but rather because the authors were very conservative in their stretch for sensor 3 out of fear of exceeding the elastic limit or breaking the sensor sample.</p>
      <p>For sensor 1, the resistance change due to the applied strain starts to gradually taper off past the working range, whilst that for sensor 2 becomes negative past the Linear Region Limit.</p>
      <p>A summary of the test results obtained from some sensors in recently reported works, along with those found for the sensors under testing in this paper, are given in Table <xref ref-type="table" rid="T2">2</xref>.</p>
      <p>Apart from the geometrical differences between the sensors highlighted in Table <xref ref-type="table" rid="T1">1</xref>, the differences in these and other performance parameters discussed below can be attributed to the different strain-responsive mechanisms of each sensor. These include but are not limited to the piezoresistive effect [<xref ref-type="bibr" rid="B79 B80 B81 B82 B83 B84 B85">79–85</xref>], the disconnection mechanism [<xref ref-type="bibr" rid="B86">86</xref>, <xref ref-type="bibr" rid="B87">87</xref>], crack propagation [<xref ref-type="bibr" rid="B88">88</xref>, <xref ref-type="bibr" rid="B89">89</xref>] and the tunnelling effect [<xref ref-type="bibr" rid="B90">90</xref>, <xref ref-type="bibr" rid="B91">91</xref>].</p>
      <p>The results in Fig. <xref ref-type="fig" rid="F6">6</xref> show that sensor 1 had the smallest <italic>k</italic><sub>σ</sub> of 1.1 %/MPa, followed by sensor 3, which has a stress coefficient of resistance of about 0.11 %/KPa and finally sensor 2, which has a <italic>k</italic><sub>σ</sub> of almost 1%/KPa. This means that sensor 2 is the one that requires the least amount of force to generate a unit of resistance change.</p>
      <p>The Resistance against Temperature relationships for all the sensors were concluded to most approximate a non-linear relationship, given by a third-order polynomial. This is shown in Fig. <xref ref-type="fig" rid="F7">7</xref>. Such a profile has long been validated for some semiconductor material such as NTC thermistors in [<xref ref-type="bibr" rid="B98">98</xref>, <xref ref-type="bibr" rid="B99">99</xref>] sensor 2 was the most affected by temperature fluctuations, with the greatest resistance change towards the lower fixed point and a relatively stable resistance between the usable temperature ranges of between 20 °C and 40 °C. Sensor 1 was another one whose change in resistance was significantly affected by temperature, with the resistance change varying approximately 35% between the measured temperature range. Both sensor 1 and sensor 2 had a negative temperature coefficient, meaning that the change in resistance decreased, with an increase in temperature. Finally, sensor 3 exhibited no significant resistance change in relation to the temperature change, for the given temperature range.</p>
      <p>Figure <xref ref-type="fig" rid="F8">8</xref> shows that the effect of moisture on all these Sensors was negligible, at least as far as the sensitivity was concerned. However, for sensor 2 there was a significant and positive increase in the working range of the sensor from about 17% strain when dry to about 28% strain after it had been irrigated.</p>
      <fig id="F5" position="float" orientation="portrait">
        <object-id content-type="arpha">B2D3B7B4-EB44-5E17-9A1F-5725AABCA6CB</object-id>
        <label>Figure 5.</label>
        <caption>
          <p>The resistance change against strain graphs for (<italic>a</italic>) sensor 1, (<italic>b</italic>) sensor 2, and (<italic>c</italic>) sensor 3 at room temperature</p>
        </caption>
        <graphic xlink:href="moem-10-e121618-g005.jpg" position="float" orientation="portrait" xlink:type="simple" id="oo_1083089.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1083089</uri>
        </graphic>
      </fig>
      <table-wrap id="T2" position="float" orientation="portrait">
        <label>Table 2.</label>
        <caption>
          <p>A comparison of the tested sensors to those that have been recently reported by other authors</p>
        </caption>
        <table id="TID0EPHBG" rules="all">
          <tbody>
            <tr>
              <th rowspan="1" colspan="1">Reference</th>
              <th rowspan="1" colspan="1">Materials</th>
              <th rowspan="1" colspan="1">Working range (%)</th>
              <th rowspan="1" colspan="1">Gauge factor</th>
              <th rowspan="1" colspan="1">Hysteresis (%)</th>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">[<xref ref-type="bibr" rid="B92">92</xref>]</td>
              <td rowspan="1" colspan="1"><abbrev xlink:title="silver nanowire" id="ABBRID0EQSAG">AgNW</abbrev>/<abbrev xlink:title="polydimethylsiloxane" id="ABBRID0EUSAG">PDMS</abbrev></td>
              <td rowspan="1" colspan="1">70</td>
              <td rowspan="1" colspan="1">2–14</td>
              <td rowspan="1" colspan="1">~28</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">[<xref ref-type="bibr" rid="B93">93</xref>]</td>
              <td rowspan="1" colspan="1"><abbrev xlink:title="polydimethylsiloxane" id="ABBRID0ENTAG">PDMS</abbrev>/<abbrev xlink:title="cellulose nanofiber" id="ABBRID0ERTAG">CNF</abbrev></td>
              <td rowspan="1" colspan="1">70</td>
              <td rowspan="1" colspan="1">6.5</td>
              <td rowspan="1" colspan="1">~14.3</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">[<xref ref-type="bibr" rid="B77">77</xref>]</td>
              <td rowspan="1" colspan="1"><abbrev xlink:title="carbon nanotubes" id="ABBRID0EKUAG">CNTs</abbrev>/ Ecoflex</td>
              <td rowspan="1" colspan="1">500</td>
              <td rowspan="1" colspan="1">1–2.5</td>
              <td rowspan="1" colspan="1">N/A</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">[<xref ref-type="bibr" rid="B94">94</xref>]</td>
              <td rowspan="1" colspan="1"><abbrev xlink:title="carbon black" id="ABBRID0EEVAG">CB</abbrev>/<abbrev xlink:title="polydimethylsiloxane" id="ABBRID0EIVAG">PDMS</abbrev></td>
              <td rowspan="1" colspan="1">10</td>
              <td rowspan="1" colspan="1">1.8–5.5</td>
              <td rowspan="1" colspan="1">N/A</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">[<xref ref-type="bibr" rid="B95">95</xref>]</td>
              <td rowspan="1" colspan="1"><abbrev xlink:title="polypyrrole" id="ABBRID0EBWAG">PPy</abbrev>/<abbrev xlink:title="silicon rubber" id="ABBRID0EFWAG">SR</abbrev></td>
              <td rowspan="1" colspan="1">100</td>
              <td rowspan="1" colspan="1">1.7</td>
              <td rowspan="1" colspan="1">7.89</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">[<xref ref-type="bibr" rid="B96">96</xref>]</td>
              <td rowspan="1" colspan="1">Carbon grease</td>
              <td rowspan="1" colspan="1">100</td>
              <td rowspan="1" colspan="1">3.8</td>
              <td rowspan="1" colspan="1">~10</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">[<xref ref-type="bibr" rid="B97">97</xref>]</td>
              <td rowspan="1" colspan="1"><abbrev xlink:title="molybdenum" id="ABBRID0ETXAG">Mo</abbrev>/PBTPA</td>
              <td rowspan="1" colspan="1">5</td>
              <td rowspan="1" colspan="1">20</td>
              <td rowspan="1" colspan="1">~11</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">[<xref ref-type="bibr" rid="B2">2</xref>]</td>
              <td rowspan="1" colspan="1">
                <abbrev xlink:title="stretchable strain segregating conductive composite" id="ABBRID0ENYAG">SSCC</abbrev>
              </td>
              <td rowspan="1" colspan="1">100</td>
              <td rowspan="1" colspan="1">13.8</td>
              <td rowspan="1" colspan="1">6.2</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">This work (sensor 1)</td>
              <td rowspan="1" colspan="1">Cotton/<abbrev xlink:title="silver nanowire" id="ABBRID0ECZAG">AgNW</abbrev></td>
              <td rowspan="1" colspan="1">~14</td>
              <td rowspan="1" colspan="1">4.5</td>
              <td rowspan="1" colspan="1">21</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">This work (sensor 2)</td>
              <td rowspan="1" colspan="1">Nylon /<abbrev xlink:title="silver nanowire" id="ABBRID0EWZAG">AgNW</abbrev>/ Elastomer</td>
              <td rowspan="1" colspan="1">~30</td>
              <td rowspan="1" colspan="1">1.7</td>
              <td rowspan="1" colspan="1">33</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">This work (sensor 3)</td>
              <td rowspan="1" colspan="1"><abbrev xlink:title="carbon black" id="ABBRID0EL1AG">CB</abbrev>/Latex</td>
              <td rowspan="1" colspan="1">≥30</td>
              <td rowspan="1" colspan="1">1.7</td>
              <td rowspan="1" colspan="1">6.3</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p><italic>Note</italic>: <abbrev xlink:title="silver nanowire" id="ABBRID0E51AG">AgNW</abbrev> – silver nanowire; <abbrev xlink:title="polydimethylsiloxane" id="ABBRID0EC2AG">PDMS</abbrev> – polydimethylsiloxane; <abbrev xlink:title="cellulose nanofiber" id="ABBRID0EG2AG">CNF</abbrev> – cellulose nanofiber; <abbrev xlink:title="carbon nanotubes" id="ABBRID0EK2AG">CNTs</abbrev> – carbon nanotubes; <abbrev xlink:title="carbon black" id="ABBRID0EO2AG">CB</abbrev> – carbon black; <abbrev xlink:title="polypyrrole" id="ABBRID0ES2AG">PPy</abbrev> – polypyrrole; <abbrev xlink:title="silicon rubber" id="ABBRID0EW2AG">SR</abbrev> – silicon rubber; <abbrev xlink:title="molybdenum" id="ABBRID0E12AG">Mo</abbrev> – molybdenum; <abbrev xlink:title="polybutanedithiol" id="ABBRID0E52AG">PBDTA</abbrev> – polybutanedithiol; <abbrev xlink:title="stretchable strain segregating conductive composite" id="ABBRID0EC3AG">SSCC</abbrev> – stretchable strain segregating conductive composite.</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <fig id="F6" position="float" orientation="portrait">
        <object-id content-type="arpha">9FB7B2A8-AB0A-5BFA-AB83-FE97C96D7B46</object-id>
        <label>Figure 6.</label>
        <caption>
          <p>The resistance change vs. stress graphs for (<italic>a</italic>) sensor 1, (<italic>b</italic>) sensor 2 and (<italic>c</italic>) sensor 3 at room temperature</p>
        </caption>
        <graphic xlink:href="moem-10-e121618-g006.jpg" position="float" orientation="portrait" xlink:type="simple" id="oo_1083090.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1083090</uri>
        </graphic>
      </fig>
      <fig id="F7" position="float" orientation="portrait">
        <object-id content-type="arpha">982A8A7E-997E-52B6-9251-008D725A8562</object-id>
        <label>Figure 7.</label>
        <caption>
          <p>The change in resistance vs. temperature graphs for (<italic>a</italic>) sensor 1, (<italic>b</italic>) sensor 2 and (<italic>c</italic>) sensor 3</p>
        </caption>
        <graphic xlink:href="moem-10-e121618-g007.jpg" position="float" orientation="portrait" xlink:type="simple" id="oo_1083091.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1083091</uri>
        </graphic>
      </fig>
      <fig id="F8" position="float" orientation="portrait">
        <object-id content-type="arpha">D3762DE8-8F08-5D15-9FF4-F6240BB0C8F9</object-id>
        <label>Figure 8.</label>
        <caption>
          <p>The graphs of change in temperature vs strain for the irrigated sensor samples: (<italic>a</italic>) sensor 1, (<italic>b</italic>) sensor 2 and (<italic>c</italic>) sensor 3</p>
        </caption>
        <graphic xlink:href="moem-10-e121618-g008.jpg" position="float" orientation="portrait" xlink:type="simple" id="oo_1083092.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1083092</uri>
        </graphic>
      </fig>
    </sec>
    <sec sec-type="5. Conclusions" id="SECID0ETEAE">
      <title>5. Conclusions</title>
      <p>After a series of tests that weighed out all the above-stated performance considerations, the resistance-based strain-based sensor that was finally selected was sensor 3. This is because while it exhibited a relatively low gauge factor (1.7), and has a moderate stress coefficient of resistivity (0.11 %/KPa), it has the best linearity of all the sensors, has the largest working range (≥30%), and is virtually immune to temperature fluctuations. The sensor is also low-cost (&lt;&lt;USD 10) per sample.</p>
      <p>Although sensor 3 was the sensor of choice for this specific application and situation, it should be noted that other impressive qualities that Sensor 1 and Sensor 2 possessed such as having the highest <italic>k<sub>ε</sub></italic> (4.5) and <italic>k</italic><sub>σ</sub> (0.90 %/KPa) respectively would make them ideal for other applications, in which these traits are the priority. Because of the work done in this paper in investigating each of their performance attributes, it means the authors will efficiently select a sensor of known and predictable behaviour and performance during such a time.</p>
      <p>In the future, the authors intend to investigate how the sensor's performance degrades with cyclical use over time. Furthermore, the authors intend to discuss the final application of the sensor, its calibration and its realisation on a voltage divider circuit or Wheatstone bridge circuit as the resistor-varying element. This stretch sensing element is to be used as a wearable device, a real-time respiration detection and monitoring device to be implemented on an existing prototype of a rapidly manufactured, low-cost ventilator in the university’s Department of Electrical Engineering of the University of Botswana.</p>
    </sec>
    <sec sec-type="Acknowledgements" id="SECID0ECFAE">
      <title>Acknowledgements</title>
      <p>This work was partly supported by the funds the Office of Research and Development (ORD) availed through the 2022 edition of the University of Botswana’s Innovation Challenge.</p>
    </sec>
    <sec sec-type="Availability of data and materials" id="SECID0EHFAE">
      <title>Availability of data and materials</title>
      <p>The data generated from this work can be shared by the corresponding author upon a reasonable request.</p>
    </sec>
    <sec sec-type="Competing interests" id="SECID0EMFAE">
      <title>Competing interests</title>
      <p>The authors declare that they have no competing interests.</p>
    </sec>
    <sec sec-type="CRediT authorship contribution statement" id="SECID0ERFAE">
      <title>CRediT authorship contribution statement</title>
      <p><bold>Moses Tazvivona Njovana</bold>: Methodology, Formal analysis, Investigation, Writing-Original Draft. <bold>Monageng Kgwadi</bold>: Conceptualization, Supervision. <bold>Sajid Mubashir Sheikh</bold>: Writing-Review &amp; Editing, Supervision.</p>
    </sec>
  </body>
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