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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="1.4" xml:lang="en">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">msce</journal-id>
      <journal-title-group>
        <journal-title>Journal of Materials Science and Chemical Engineering</journal-title>
      </journal-title-group>
      <issn pub-type="epub">2327-6053</issn>
      <issn pub-type="ppub">2327-6045</issn>
      <publisher>
        <publisher-name>Scientific Research Publishing</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.4236/msce.2026.147002</article-id>
      <article-id pub-id-type="publisher-id">msce-152788</article-id>
      <article-categories>
        <subj-group>
          <subject>Article</subject>
        </subj-group>
        <subj-group>
          <subject>Chemistry</subject>
          <subject>Materials Science</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Study and Characterization of a Composite Material Made from PVC Waste and Sand for Roofing Applications</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Zakari</surname>
            <given-names>Yaou</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <contrib-id contrib-id-type="orcid">0009-0002-9425-6949</contrib-id>
          <name name-style="western">
            <surname>Tawé</surname>
            <given-names>Layndé</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Gaga</surname>
            <given-names>Bernard Dadi</given-names>
          </name>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Nnengué</surname>
            <given-names>Yannick Serge Evoung</given-names>
          </name>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Pagoré</surname>
            <given-names>Ismael Figapka</given-names>
          </name>
          <xref ref-type="aff" rid="aff5">5</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Konai</surname>
            <given-names>Noel</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Biyeme</surname>
            <given-names>Florent</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
      </contrib-group>
      <aff id="aff1"><label>1</label> Department of Mechanical and Industrial Engineering, National Higher Polytechnic Institute, The University of Yaounde 1, Yaounde, Cameroon </aff>
      <aff id="aff2"><label>2</label> Department of Wood Construction, University of Institute of Wood Technology, The University of Yaounde I, Yaounde, Cameroon </aff>
      <aff id="aff3"><label>3</label> Department of Mechanical Engineering, Higher Teacher’s Training College, The University of Ebolowa, Ebolowa, Cameroon </aff>
      <aff id="aff4"><label>4</label> Department of Wood Engineering, Higher Institute of Agriculture, Forestry, Water and Environment, The University of Bertoua, Bertoua, Cameroon </aff>
      <aff id="aff5"><label>5</label> Department of Basic and Applied Fundamental Science, Higher Institute of Agriculture, Forestry, Water and Environment, The University of Ebolowa, Ebolowa, Cameroon </aff>
      <author-notes>
        <fn fn-type="conflict" id="fn-conflict">
          <p>The authors declare no conflicts of interest regarding the publication of this paper.</p>
        </fn>
      </author-notes>
      <pub-date pub-type="epub">
        <day>09</day>
        <month>07</month>
        <year>2026</year>
      </pub-date>
      <pub-date pub-type="collection">
        <month>07</month>
        <year>2026</year>
      </pub-date>
      <volume>14</volume>
      <issue>07</issue>
      <fpage>10</fpage>
      <lpage>28</lpage>
      <history>
        <date date-type="received">
          <day>08</day>
          <month>04</month>
          <year>2026</year>
        </date>
        <date date-type="accepted">
          <day>24</day>
          <month>07</month>
          <year>2026</year>
        </date>
        <date date-type="published">
          <day>27</day>
          <month>07</month>
          <year>2026</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>© 2026 by the authors and Scientific Research Publishing Inc.</copyright-statement>
        <copyright-year>2026</copyright-year>
        <license license-type="open-access">
          <license-p> This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link> ). </license-p>
        </license>
      </permissions>
      <self-uri content-type="doi" xlink:href="https://doi.org/10.4236/msce.2026.147002">https://doi.org/10.4236/msce.2026.147002</self-uri>
      <abstract>
        <p>This research deals with the valorization of polyvinyl chloride (PVC) waste and river sand for producing roof tiles. This study is based on an experimental analysis of roof tiles produced with varying proportions of recycled PVC and river sand: 10%, 20%, 30%, 40%, 50%, 60%, 70%, 80%, 90% and 100%, corresponding to samples 1 through 10, respectively, of PVC combined with the corresponding percentage of fine river sand aggregate. The PVC waste was heated to 170˚C to ensure it did not lose its properties. Tests were performed to evaluate the material’s physical and mechanical performance, including water absorption, density, moisture content, and flexural strength. The following results were obtained: First, the water absorption rate of the composite varies between 1.267% (Sample 10) and 2.881% (Sample 1), with a mean value of 1.913% and a standard deviation of 0.551%. Second, the density of the composite varies between 1.0086 g/cm<sup>3</sup> (Sample 10) and 1.1111 g/cm<sup>3</sup> (Sample 1), with a mean value of 1.055 g/cm<sup>3</sup> and a standard deviation of 0.034 g/cm<sup>3</sup>. Third, the applied force at the ultimate tensile stress of the composite varies between 32.3 N for a displacement of 0.395 mm in sample 10 and 205.3 N for a displacement of 0.9245 mm in sample 8. Samples 6, 7, and 8 show good results for use as composite materials for roofing tiles, but Sample 8 is chosen as the best composite material in this study because of its low absorption rate and density, which make it light and flexible for roofing use. Sample 8 is also a good choice because of its high strength, which gives the composite roofing tile resistance to rupture and cracking, thereby making it durable.</p>
      </abstract>
      <kwd-group kwd-group-type="author-generated" xml:lang="en">
        <kwd>Physical Properties</kwd>
        <kwd>Mechanical Properties</kwd>
        <kwd>PVC Waste</kwd>
        <kwd>Sand Composite</kwd>
        <kwd>Roofing</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec1">
      <title>1. Introduction</title>
      <p>Composite materials in roof construction are distinguished by their versatility and superior performance, offering a unique combination of lightness and mechanical strength. Composed of reinforcing fibers embedded in a polymer matrix, these materials allow customized properties tailored to project-specific requirements [<xref ref-type="bibr" rid="B1">1</xref>]. A primary advantage of roofing composites is excellent weather resistance: unlike wood, which rots, or metal, which rusts, composites resist both, ensuring enhanced roof durability and significantly lower long-term maintenance costs [<xref ref-type="bibr" rid="B2">2</xref>][<xref ref-type="bibr" rid="B3">3</xref>]. Additionally, their malleability permits complex shapes and innovative designs, expanding architectural possibilities. This formal flexibility, combined with light weight, facilitates installation and reduces structural constraints on the building [<xref ref-type="bibr" rid="B4">4</xref>]. The roof, fundamentally the uppermost covering of any building, provides protection from rain, snow, wind, heat, and sunlight. As a superstructural element, its performance depends on both roof type and material selection [<xref ref-type="bibr" rid="B5">5</xref>][<xref ref-type="bibr" rid="B6">6</xref>]. Traditional roofing materials include clay, concrete, and metal; more recently, composite materials incorporating sand and plastic have emerged. Roofs are inherently susceptible to weather-induced effects and failures, the most visible being collapse, corrosion, and leakages, all fundamentally material-based defects [<xref ref-type="bibr" rid="B7">7</xref>][<xref ref-type="bibr" rid="B8">8</xref>]. Carbon fiber-reinforced composites represent the elite of roofing materials in terms of strength-to-weight ratio [<xref ref-type="bibr" rid="B9">9</xref>][<xref ref-type="bibr" rid="B10">10</xref>]. These fibers, known for aerospace applications, offer exceptional rigidity while remaining extremely lightweight. For large-span roofs or bold architectural structures, carbon composites enable designs unachievable with conventional materials. Although more expensive than fiberglass composites, carbon fiber roofs constitute a worthwhile investment where lightness is critical or for iconic buildings requiring exceptional structural performance. Their outstanding fatigue resistance further ensures increased structural longevity [<xref ref-type="bibr" rid="B11">11</xref>].</p>
      <p>Beyond high-performance carbon fiber systems, the necessity of producing roofing tiles from plastic waste and sand cannot be overstated. The availability of waste plastics is assured: of the 8.3 billion metric tons of plastics ever produced, approximately 6.3 billion metric tons have become waste, including PVC, the second most-used plastic after polyethylene [<xref ref-type="bibr" rid="B5">5</xref>][<xref ref-type="bibr" rid="B12">12</xref>][<xref ref-type="bibr" rid="B13">13</xref>]. Alarmingly, only 8.5% of these 6.3 billion metric tons are recycled; the remaining 91% accumulates in landfills and water bodies, causing severe environmental pollution and land degradation [<xref ref-type="bibr" rid="B1">1</xref>][<xref ref-type="bibr" rid="B14">14</xref>][<xref ref-type="bibr" rid="B15">15</xref>]. This context provides compelling motivation for developing plastic/sand composite roofing materials that simultaneously address construction needs and waste management challenges.</p>
      <p>Several research projects have advanced this objective. Notably, Yakum’s investigation of river sand with plastic as a matrix yielded promising results: water absorption rates ranged from 3.62% to 0.11% at saturation, flexural strength reached 200.5 daN/cm<sup>2</sup>, impact resistance measured 123 J/mm<sup>2</sup>, and maximum drilling time occurred at 80% sand content. These findings demonstrated the composite’s excellent rigidity and weather resistance, supporting its viability as a roofing material [<xref ref-type="bibr" rid="B16">16</xref>][<xref ref-type="bibr" rid="B17">17</xref>]. Complementary studies explored conventional binders such as cement combined with PVC, revealing that mechanical properties and density of mortar decreased with PVC powder incorporation [<xref ref-type="bibr" rid="B18">18</xref>]. Another significant contribution proposed and empirically validated a high-reflectivity evaporation (HRE) composite roof, which synergistically integrates a high-reflectivity coating with a porous evaporation layer to achieve year-round energy savings [<xref ref-type="bibr" rid="B19">19</xref>]. Thermal insulation represents another major advantage of composite roofing materials [<xref ref-type="bibr" rid="B20">20</xref>][<xref ref-type="bibr" rid="B21">21</xref>]. Their low thermal conductivity effectively contributes to indoor temperature regulation, reducing both heating and air conditioning requirements. This property holds particular value in the contemporary context of pursuing building energy efficiency [<xref ref-type="bibr" rid="B22">22</xref>]. Composites thus address multiple performance criteria simultaneously: structural capacity, durability, design freedom, and thermal management.</p>
      <p>However, a critical problem persists: roofing materials currently available on the market remain expensive and prone to corrosion. This fundamental limitation justifies the rationale behind the present study. The convergence of factors unsatisfactory performance of conventional materials, the environmental imperative to valorize plastic waste, promising mechanical results from preliminary composite formulations, and the thermal and structural advantages composites offer establishes a clear research direction. Developing cost-effective, corrosion-resistant composite roofing materials from waste plastic and sand responds to an urgent need spanning economic, environmental, and technical domains. </p>
    </sec>
    <sec id="sec2">
      <title>2. Materials and Methods</title>
      <sec id="sec2dot1">
        <title>2.1. Materials</title>
        <p>Plastic waste, primarily from window frames and vehicle interior trim, and sand were collected from municipal landfills and urban drainage systems, respectively, in the Central Region of Cameroon. After washing and drying, this waste was ground into flakes ranging in size from 2 to 5 mm. River sand, collected from the bed of the Sanaga River, is washed, dried, and then sieved to obtain a particle size of 1.25 mm or smaller. These characteristics directly influence the compactness of the mixture and the final properties of the composite. They are used here as raw materials to be mixed in varying proportions. <xref ref-type="fig" rid="fig1">Figure 1(a)</xref> shows PVC waste and <xref ref-type="fig" rid="fig1">Figure 1(b)</xref> shows river sand.</p>
        <fig id="fig1">
          <label>Figure 1</label>
          <graphic xlink:href="https://html.scirp.org/file/1741533-rId15.jpeg?20260727115422" />
        </fig>
        <p><bold>Figure 1.</bold> (a) PVC waste, (b) River sand.</p>
        <p><xref ref-type="fig" rid="fig2">Figure 2</xref> below shows a shredder machine incorporated with a rotating cutting blade. The PVC wastes are fed into the machine through the hopper and the rotary blade inside the shredder and the plastic is cut into the required small flakes.</p>
        <fig id="fig2">
          <label>Figure 2</label>
          <graphic xlink:href="https://html.scirp.org/file/1741533-rId16.jpeg?20260727115422" />
        </fig>
        <p><bold>Figure 2.</bold> Plastics shredder machine modelling.</p>
        <p><xref ref-type="fig" rid="fig3">Figure 3(a)</xref> presents a furnace and <xref ref-type="fig" rid="fig3">Figure 3(b)</xref> a mold: A heating furnace is used to melt the shredded plastic flakes and then placed into a mold to form the specimens from the mixture of molten plastics flakes and sand.</p>
        <fig id="fig3">
          <label>Figure 3</label>
          <graphic xlink:href="https://html.scirp.org/file/1741533-rId17.jpeg?20260727115422" />
        </fig>
        <p><bold>Figure 3.</bold> (a) Furnace, (b) Mold (no more than 1.5 cm deep).</p>
        <p><xref ref-type="fig" rid="fig4">Figure 4</xref> below shows the specimen obtained for characterization. An electronic scale was used to measure the specimens before and after water absorption. After the measurement, an oven was used to dry the specimens, in order to drain water from it.</p>
        <fig id="fig4">
          <label>Figure 4</label>
          <graphic xlink:href="https://html.scirp.org/file/1741533-rId18.jpeg?20260727115422" />
        </fig>
        <p><bold>Figure 4.</bold> Samples of PVC waste/sand composite.</p>
        <p><xref ref-type="fig" rid="fig5">Figure 5</xref> below shows a three-point bending machine used to carry out bending test. The equipment (bending machine) has a maximum force of 5 kN and a maximum crosshead speed of 500 mm/min. The test was performed in accordance with NF EN 312-2 (2014). The sample was placed on two supports. The specimens of the size 160 × 40 × 40 mm were tested for flexural strength. The deformation process was set up until failure occurred.</p>
        <fig id="fig5">
          <label>Figure 5</label>
          <graphic xlink:href="https://html.scirp.org/file/1741533-rId19.jpeg?20260727115422" />
        </fig>
        <p><bold>Figure 5.</bold> Three-point bending machine.</p>
        <p>According to standard NF EN 490, the bending stress is calculated using the following formula:</p>
        <disp-formula id="FD1">
          <label>(1)</label>
          <mml:math>
            <mml:mrow>
              <mml:msub>
                <mml:mi>σ</mml:mi>
                <mml:mi>f</mml:mi>
              </mml:msub>
              <mml:mo>=</mml:mo>
              <mml:mfrac>
                <mml:mrow>
                  <mml:mn>3</mml:mn>
                  <mml:mi>F</mml:mi>
                  <mml:mi>L</mml:mi>
                </mml:mrow>
                <mml:mrow>
                  <mml:mn>2</mml:mn>
                  <mml:mi>b</mml:mi>
                  <mml:msup>
                    <mml:mi>h</mml:mi>
                    <mml:mn>2</mml:mn>
                  </mml:msup>
                </mml:mrow>
              </mml:mfrac>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>where;</p>
        <p><italic>F</italic>: maximum flexural load (N).</p>
        <p><italic>L</italic>: length of test sample (mm).</p>
        <p><italic>W</italic>: width of test sample (mm).</p>
        <p><italic>d</italic>: thickness of test sample (mm).</p>
      </sec>
      <sec id="sec2dot2">
        <title>2.2. Methods</title>
        <p>Considering that the right PVC waste is selected, washed, dried, and ground to smaller granulates to ease melting and the sand is washed, dried and sieved to obtain granulates of a maximum of 1.25 mm, measurement of the percentages by mass of plastic to sand were calculated and summarized in <bold>Table 1</bold> below.</p>
        <p><bold>Table 1</bold><bold>.</bold> Summary of PVC and Sand ratios.</p>
        <table-wrap id="tbl1">
          <label>Table 1</label>
          <table>
            <tbody>
              <tr>
                <td>Samples</td>
                <td>PVC (%)</td>
                <td>Sand (%)</td>
                <td>PVC:Sand ratio</td>
              </tr>
              <tr>
                <td>1</td>
                <td>10</td>
                <td>90</td>
                <td>10:90</td>
              </tr>
              <tr>
                <td>2</td>
                <td>20</td>
                <td>80</td>
                <td>20:80</td>
              </tr>
              <tr>
                <td>3</td>
                <td>30</td>
                <td>70</td>
                <td>30:70</td>
              </tr>
              <tr>
                <td>4</td>
                <td>40</td>
                <td>60</td>
                <td>40:60</td>
              </tr>
              <tr>
                <td>5</td>
                <td>50</td>
                <td>50</td>
                <td>50:50</td>
              </tr>
              <tr>
                <td>6</td>
                <td>60</td>
                <td>40</td>
                <td>60:40</td>
              </tr>
              <tr>
                <td>7</td>
                <td>70</td>
                <td>30</td>
                <td>70:30</td>
              </tr>
              <tr>
                <td>8</td>
                <td>80</td>
                <td>20</td>
                <td>80:20</td>
              </tr>
              <tr>
                <td>9</td>
                <td>90</td>
                <td>10</td>
                <td>90:10</td>
              </tr>
              <tr>
                <td>10</td>
                <td>100</td>
                <td>0</td>
                <td>100:0</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>2.2.1. Melt of Plastics</p>
        <p>The oven is preheated to 170˚C ± 2˚C (temperature controlled by a thermocouple). PVC flakes are added in 50-g increments to a metal container. Heating continues for 15 minutes until a homogeneous, viscous paste is obtained.</p>
        <p>2.2.2. Mixing and Molding</p>
        <p>Continue stirring thoroughly until all the PVC scraps have melted and you have a smooth, viscous liquid. Keep mixing and heating until all lumps have disappeared and a smooth paste is formed, as lumps can compromise the material’s strength. This can take up to 20 minutes [<xref ref-type="bibr" rid="B2">2</xref>][<xref ref-type="bibr" rid="B23">23</xref>][<xref ref-type="bibr" rid="B24">24</xref>]. Add the previously weighed amount of sand, stirring constantly until the desired mixture is achieved. Continue mixing so that the plastic, which acts as a binder, is thoroughly incorporated and has the appearance of gray cement. Prepare the mold, ensuring it is perfectly clean, with no plastic residue from previous castings. Quickly remove the mixture using a metal-handled shovel and pour it into the mold using a trowel. Pack the mixture into the mold so that no air pockets remain. The mixture is poured into a steel mold that has been pre-lubricated. Cooling takes place at room temperature (25˚C ± 2˚C) for 30 minutes before demolding.</p>
        <p>2.2.3. Setting</p>
        <p>Allow the hot mixture in the mold to set for a few minutes, repeatedly shaking the mold to perfectly fill the edges. Keep trying to lift the mold. When the mixture has hardened enough that the slab will not collapse, remove the mold. It should harden within 10 minutes. Repeat this procedure to produce the samples with different percentages of sand and PVC waste. <xref ref-type="fig" rid="fig6">Figure 6</xref> below shows the flowchart of the processing of PVC waste and the sand samples used in the study.</p>
        <fig id="fig6">
          <label>Figure 6</label>
          <graphic xlink:href="https://html.scirp.org/file/1741533-rId22.jpeg?20260727115424" />
        </fig>
        <p><bold>Figure 6.</bold> Flow chart of the manufacturing of PVC waste and the sand samples.</p>
        <p>2.2.4. Determination of Absolute Density</p>
        <p>To determine the absolute density, it is necessary to first know the parameters recorded in <bold>Table 2</bold> below in order to apply the procedure of the international standards.</p>
        <p><bold>Table</bold><bold>2.</bold> Test parameters [<xref ref-type="bibr" rid="B3">3</xref>][<xref ref-type="bibr" rid="B25">25</xref>].</p>
        <table-wrap id="tbl2">
          <label>Table 2</label>
          <table>
            <tbody>
              <tr>
                <td>Materials</td>
                <td>Biofilms</td>
              </tr>
              <tr>
                <td>Number of samples</td>
                <td>10</td>
              </tr>
              <tr>
                <td>PH of the water</td>
                <td>7</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>Procedure</p>
        <p>Cut and mark the samples;Dry the samples in an oven at 60˚C until they are anhydrous;Weigh the sample and record its mass <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> m </mml:mi><mml:mi> e </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ;Fill the test bed with distilled water; Introduce the sample and record the volume of the sample <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> V </mml:mi><mml:mi> e </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ;</p>
        <p>The absolute density is determined by the following formula:</p>
        <disp-formula id="FD2">
          <label>(2)</label>
          <mml:math>
            <mml:mrow>
              <mml:msub>
                <mml:mi>ρ</mml:mi>
                <mml:mrow>
                  <mml:mi>a</mml:mi>
                  <mml:mi>b</mml:mi>
                  <mml:mi>s</mml:mi>
                </mml:mrow>
              </mml:msub>
              <mml:mo>=</mml:mo>
              <mml:mfrac>
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>m</mml:mi>
                    <mml:mi>e</mml:mi>
                  </mml:msub>
                </mml:mrow>
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>V</mml:mi>
                    <mml:mi>e</mml:mi>
                  </mml:msub>
                </mml:mrow>
              </mml:mfrac>
              <mml:mtext>
                 
              </mml:mtext>
              <mml:mtext>in</mml:mtext>
              <mml:mtext>
                 
              </mml:mtext>
              <mml:mrow>
                <mml:mtext>g</mml:mtext>
                <mml:mo>/</mml:mo>
                <mml:mrow>
                  <mml:msup>
                    <mml:mrow>
                      <mml:mtext>cm</mml:mtext>
                    </mml:mrow>
                    <mml:mtext>3</mml:mtext>
                  </mml:msup>
                </mml:mrow>
              </mml:mrow>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>where: <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> m </mml:mi><mml:mi> e </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> : mass of the sample; <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> V </mml:mi><mml:mi> e </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> : volume of the sample</p>
        <p>For this physical test, we used 10 samples measuring 50 × 25 × 10 mm in accordance with ISO 1183-1, which specifies the immersion method for plastics<italic>.</italic></p>
        <p>After determining the densities as a function of the combinations of the composite material, we have summarized the results in <bold>Table 3</bold> below.</p>
        <p><bold>Table</bold><bold>3.</bold> Statistical surveys of density.</p>
        <table-wrap id="tbl3">
          <label>Table 3</label>
          <table>
            <tbody>
              <tr>
                <td>Samples</td>
                <td>PVC (%)</td>
                <td>Sand (%)</td>
                <td>
                  Density (g/cm
                  <sup>3</sup>
                  )
                </td>
                <td>
                  Standard deviation (g/cm
                  <sup>3</sup>
                  )
                </td>
              </tr>
              <tr>
                <td>1</td>
                <td>10</td>
                <td>90</td>
                <td>1.1111</td>
                <td>0.0341</td>
              </tr>
              <tr>
                <td>2</td>
                <td>20</td>
                <td>80</td>
                <td>1.1056</td>
                <td>0.0337</td>
              </tr>
              <tr>
                <td>3</td>
                <td>30</td>
                <td>70</td>
                <td>1.0802</td>
                <td>0.0329</td>
              </tr>
              <tr>
                <td>4</td>
                <td>40</td>
                <td>60</td>
                <td>1.0665</td>
                <td>0.0325</td>
              </tr>
              <tr>
                <td>5</td>
                <td>50</td>
                <td>50</td>
                <td>1.0577</td>
                <td>0.0322</td>
              </tr>
              <tr>
                <td>6</td>
                <td>60</td>
                <td>40</td>
                <td>1.0400</td>
                <td>0.0317</td>
              </tr>
              <tr>
                <td>7</td>
                <td>70</td>
                <td>30</td>
                <td>1.0389</td>
                <td>0.0316</td>
              </tr>
              <tr>
                <td>8</td>
                <td>80</td>
                <td>20</td>
                <td>1.0250</td>
                <td>0.0312</td>
              </tr>
              <tr>
                <td>9</td>
                <td>90</td>
                <td>10</td>
                <td>1.0137</td>
                <td>0.0309</td>
              </tr>
              <tr>
                <td>10</td>
                <td>100</td>
                <td>0</td>
                <td>1.0086</td>
                <td>0.0307</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>2.2.5. Determination of Kinetics Absorption and Absorption Rates</p>
        <p><bold>Table 4</bold> below summarizes the parameters used to determine the water absorption kinetics.</p>
        <p><bold>Table 4.</bold> Test parameters [<xref ref-type="bibr" rid="B26">26</xref>].</p>
        <table-wrap id="tbl4">
          <label>Table 4</label>
          <table>
            <tbody>
              <tr>
                <td>Test Parameters</td>
                <td>Biofilms</td>
              </tr>
              <tr>
                <td>Number of samples</td>
                <td>10</td>
              </tr>
              <tr>
                <td>PH of the water</td>
                <td>7</td>
              </tr>
              <tr>
                <td>Drying temperature</td>
                <td>80˚C</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>A series of samples was taken from each of the composite plates to measure the kinetics of water absorption. To monitor water absorption in composites, a gravimeter is used. It consists of monitoring the mass evolution of the samples over time, measured at regular intervals over a total period of 5 days (120 h). At the time of the mass measurement, the samples (previously dehydrated in an oven and then immersed in a water bath) are removed and lightly wiped with an absorbent paper to eliminate the film of water on the surface. The samples are then weighed and re-immersed. A laboratory scale, accurate to 0.001 g, is used for these measurements, which are necessary to calculate the water absorption rate. For each formulation, we used 10 test specimens measuring 50 × 25 × 10 mm, in accordance with ASTM D570 for the water absorption of plastics.</p>
        <p><bold>Fick</bold><bold>’</bold><bold>s model</bold>[<xref ref-type="bibr" rid="B27">27</xref>][<xref ref-type="bibr" rid="B28">28</xref>]</p>
        <p>After different immersion times, the water absorption characteristics of the composites are determined by the percentage by mass of water absorbed <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> M </mml:mi><mml:mi> t </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at time <italic>t</italic>, and defined by the equation:</p>
        <disp-formula id="FD3">
          <label>(3)</label>
          <mml:math>
            <mml:mrow>
              <mml:msub>
                <mml:mi>M</mml:mi>
                <mml:mi>t</mml:mi>
              </mml:msub>
              <mml:mo>=</mml:mo>
              <mml:mfrac>
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>W</mml:mi>
                    <mml:mi>t</mml:mi>
                  </mml:msub>
                  <mml:mo>−</mml:mo>
                  <mml:msub>
                    <mml:mi>W</mml:mi>
                    <mml:mn>0</mml:mn>
                  </mml:msub>
                </mml:mrow>
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>W</mml:mi>
                    <mml:mn>0</mml:mn>
                  </mml:msub>
                </mml:mrow>
              </mml:mfrac>
              <mml:mo>×</mml:mo>
              <mml:mn>100</mml:mn>
              <mml:mrow>
                <mml:mo>(</mml:mo>
                <mml:mi>%</mml:mi>
                <mml:mo>)</mml:mo>
              </mml:mrow>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>where <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> W </mml:mi><mml:mn> 0 </mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the mass of the unaged sample at <italic>t</italic> = 0 and <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> W </mml:mi><mml:mi> t </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the mass of the aged sample at time <italic>t</italic>. The diffusion coefficient <italic>D</italic> is determined by the following equation, in the case where the <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> M </mml:mi><mml:mi> t </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values are less than 60% of the saturation value <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> M </mml:mi><mml:mi> m </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> [<xref ref-type="bibr" rid="B29">29</xref>][<xref ref-type="bibr" rid="B30">30</xref>]:</p>
        <disp-formula id="FD4">
          <label>(4)</label>
          <mml:math>
            <mml:mrow>
              <mml:mi>D</mml:mi>
              <mml:mo>=</mml:mo>
              <mml:mi>π</mml:mi>
              <mml:msup>
                <mml:mrow>
                  <mml:mrow>
                    <mml:mo>(</mml:mo>
                    <mml:mrow>
                      <mml:mfrac>
                        <mml:mi>k</mml:mi>
                        <mml:mrow>
                          <mml:mn>4</mml:mn>
                          <mml:msub>
                            <mml:mi>M</mml:mi>
                            <mml:mi>m</mml:mi>
                          </mml:msub>
                        </mml:mrow>
                      </mml:mfrac>
                    </mml:mrow>
                    <mml:mo>)</mml:mo>
                  </mml:mrow>
                </mml:mrow>
                <mml:mn>2</mml:mn>
              </mml:msup>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>where <inline-formula><mml:math display="inline"><mml:mi> k </mml:mi></mml:math></inline-formula> is the slope of the linear part of the curve <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> M </mml:mi><mml:mi> t </mml:mi></mml:msub><mml:mo> = </mml:mo><mml:mi> f </mml:mi><mml:mrow><mml:mo> ( </mml:mo><mml:mrow><mml:mrow><mml:mrow><mml:msqrt><mml:mi> t </mml:mi></mml:msqrt></mml:mrow><mml:mo> / </mml:mo><mml:mi> h </mml:mi></mml:mrow></mml:mrow><mml:mo> ) </mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> M </mml:mi><mml:mi> m </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the maximum mass in water at equilibrium.</p>
        <p>In addition, a correction factor is required to account for the fine dimensions of the specimens:</p>
        <disp-formula id="FD5">
          <label>(5)</label>
          <mml:math>
            <mml:mrow>
              <mml:msub>
                <mml:mi>D</mml:mi>
                <mml:mi>c</mml:mi>
              </mml:msub>
              <mml:mo>=</mml:mo>
              <mml:mi>D</mml:mi>
              <mml:msup>
                <mml:mrow>
                  <mml:mrow>
                    <mml:mo>(</mml:mo>
                    <mml:mrow>
                      <mml:mn>1</mml:mn>
                      <mml:mo>+</mml:mo>
                      <mml:mfrac>
                        <mml:mi>h</mml:mi>
                        <mml:mi>L</mml:mi>
                      </mml:mfrac>
                      <mml:mo>+</mml:mo>
                      <mml:mfrac>
                        <mml:mi>h</mml:mi>
                        <mml:mi>w</mml:mi>
                      </mml:mfrac>
                    </mml:mrow>
                    <mml:mo>)</mml:mo>
                  </mml:mrow>
                </mml:mrow>
                <mml:mrow>
                  <mml:mo>−</mml:mo>
                  <mml:mn>2</mml:mn>
                </mml:mrow>
              </mml:msup>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>where <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> D </mml:mi><mml:mrow><mml:mi> c </mml:mi><mml:mo></mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the corrected transverse diffusion coefficient, <italic>L</italic> and <italic>w</italic> are the length and width of the specimen, respectively. The test results are summarized in <bold>Table 5</bold>below.</p>
        <p><bold>Table</bold><bold>5.</bold> Statistical records of the water absorption rate.</p>
        <table-wrap id="tbl5">
          <label>Table 5</label>
          <table>
            <tbody>
              <tr>
                <td>
                  <italic>t</italic>
                  (hours)
                </td>
                <td>0</td>
                <td>1</td>
                <td>2</td>
                <td>3</td>
                <td>24</td>
                <td>48</td>
                <td>72</td>
                <td>96</td>
                <td>
                  <inline-formula>
                    <mml:math>
                      <mml:mrow>
                        <mml:mi>%</mml:mi>
                        <mml:mi>A</mml:mi>
                      </mml:mrow>
                    </mml:math>
                  </inline-formula>
                </td>
                <td>
                  <inline-formula>
                    <mml:math>
                      <mml:mrow>
                        <mml:mi>%</mml:mi>
                        <mml:msub>
                          <mml:mi>A</mml:mi>
                          <mml:mrow>
                            <mml:mi>a</mml:mi>
                            <mml:mi>v</mml:mi>
                            <mml:mi>g</mml:mi>
                          </mml:mrow>
                        </mml:msub>
                      </mml:mrow>
                    </mml:math>
                  </inline-formula>
                </td>
                <td>
                  <inline-formula>
                    <mml:math>
                      <mml:mi>σ</mml:mi>
                    </mml:math>
                  </inline-formula>
                </td>
              </tr>
              <tr>
                <td>Sample 1</td>
                <td>15.41</td>
                <td>15.67</td>
                <td>15.635</td>
                <td>15.665</td>
                <td>15.742</td>
                <td>15.815</td>
                <td>15.852</td>
                <td>15.854</td>
                <td>2.881</td>
                <td>-</td>
                <td>-</td>
              </tr>
              <tr>
                <td>Sample 2</td>
                <td>13.754</td>
                <td>13.786</td>
                <td>13.798</td>
                <td>13.798</td>
                <td>13.902</td>
                <td>14.04</td>
                <td>14.104</td>
                <td>14.129</td>
                <td>2.726</td>
                <td>-</td>
                <td>-</td>
              </tr>
              <tr>
                <td>Sample 3</td>
                <td>11.972</td>
                <td>12.022</td>
                <td>12.025</td>
                <td>12.037</td>
                <td>12.149</td>
                <td>12.211</td>
                <td>12.23</td>
                <td>12.25</td>
                <td>2.322</td>
                <td>-</td>
                <td>-</td>
              </tr>
              <tr>
                <td>Sample 4</td>
                <td>20.021</td>
                <td>20.061</td>
                <td>20.099</td>
                <td>20.087</td>
                <td>20.225</td>
                <td>20.343</td>
                <td>20.392</td>
                <td>20.394</td>
                <td>1.863</td>
                <td>1.913</td>
                <td>0.551</td>
              </tr>
              <tr>
                <td>Sample 5</td>
                <td>17.995</td>
                <td>18.08</td>
                <td>18.091</td>
                <td>18.108</td>
                <td>18.209</td>
                <td>18.283</td>
                <td>18.297</td>
                <td>18.327</td>
                <td>1.844</td>
                <td>-</td>
                <td>-</td>
              </tr>
              <tr>
                <td>Sample 6</td>
                <td>17.099</td>
                <td>17.146</td>
                <td>17.151</td>
                <td>17.161</td>
                <td>17.274</td>
                <td>17.336</td>
                <td>17.381</td>
                <td>17.393</td>
                <td>1.719</td>
                <td>-</td>
                <td>-</td>
              </tr>
              <tr>
                <td>Sample 7</td>
                <td>13.31</td>
                <td>13.338</td>
                <td>13.344</td>
                <td>13.359</td>
                <td>13.408</td>
                <td>13.468</td>
                <td>13.492</td>
                <td>13.517</td>
                <td>1.555</td>
                <td>-</td>
                <td>-</td>
              </tr>
              <tr>
                <td>Sample 8</td>
                <td>14.657</td>
                <td>14.708</td>
                <td>14.717</td>
                <td>14.715</td>
                <td>14.781</td>
                <td>14.844</td>
                <td>14.87</td>
                <td>14.874</td>
                <td>1.480</td>
                <td>-</td>
                <td>-</td>
              </tr>
              <tr>
                <td>Sample 9</td>
                <td>13.728</td>
                <td>13.774</td>
                <td>13.797</td>
                <td>13.8</td>
                <td>13.855</td>
                <td>13.868</td>
                <td>13.927</td>
                <td>13.93</td>
                <td>1.471</td>
                <td>-</td>
                <td>-</td>
              </tr>
              <tr>
                <td>Sample 10</td>
                <td>18.849</td>
                <td>18.912</td>
                <td>18.916</td>
                <td>18.917</td>
                <td>19</td>
                <td>19.053</td>
                <td>19.079</td>
                <td>19.088</td>
                <td>1.267</td>
                <td>-</td>
                <td>-</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>To validate the goodness-of-fit of the Fickian diffusion model, the coefficient of determination (R<sup>2</sup>) was calculated for each formulation by linear regression of the experimental data <italic>M</italic><italic><sub>t</sub></italic> versus <inline-formula><mml:math display="inline"><mml:mrow><mml:mrow><mml:mrow><mml:msqrt><mml:mi> t </mml:mi></mml:msqrt></mml:mrow><mml:mo> / </mml:mo><mml:mi> h </mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> over the initial linear region (where <italic>M</italic><italic><sub>t</sub></italic> &lt; 60% of <italic>M</italic><italic><sub>m</sub></italic>). The R<sup>2</sup> values, ranging from 0.967 to 0.994, indicate excellent agreement between the experimental data and the Fickian model, confirming the diffusive nature of water absorption in these composites. The fitting curves and R<sup>2</sup> values are presented in <bold>Table 6</bold>.</p>
        <p><bold>Table 6.</bold> Statistical survey of absorption kinetics with R<sup>2</sup> goodness-of-fit values for the Fickian diffusion model.</p>
        <table-wrap id="tbl6">
          <label>Table 6</label>
          <table>
            <tbody>
              <tr>
                <td>Sample</td>
                <td>
                  <italic>M</italic>
                  <italic>
                    <sub>t</sub>
                  </italic>
                  (%)
                </td>
                <td>
                  <inline-formula>
                    <mml:math display="inline">
                      <mml:mrow>
                        <mml:mrow>
                          <mml:mrow>
                            <mml:msqrt>
                              <mml:mi>t</mml:mi>
                            </mml:msqrt>
                          </mml:mrow>
                          <mml:mo>/</mml:mo>
                          <mml:mi>h</mml:mi>
                        </mml:mrow>
                      </mml:mrow>
                    </mml:math>
                  </inline-formula>
                </td>
                <td>
                  <italic>k</italic>
                </td>
                <td>
                  <italic>D</italic>
                  (×10
                  <sup>−6</sup>
                  mm
                  <sup>2</sup>
                  /s)
                </td>
                <td>
                  <italic>D</italic>
                  <italic>
                    <sub>c</sub>
                  </italic>
                  (×10
                  <sup>−6</sup>
                  mm
                  <sup>2</sup>
                  /s)
                </td>
                <td>
                  R
                  <sup>2</sup>
                </td>
              </tr>
              <tr>
                <td>Sample 1</td>
                <td>0 → 2.881</td>
                <td>0 → 0.816</td>
                <td>4.0375</td>
                <td>0.385</td>
                <td>0.143</td>
                <td>0.987</td>
              </tr>
              <tr>
                <td>Sample 2</td>
                <td>0 → 2.726</td>
                <td>0 → 0.816</td>
                <td>3.4483</td>
                <td>0.313</td>
                <td>0.116</td>
                <td>0.982</td>
              </tr>
              <tr>
                <td>Sample 3</td>
                <td>0 → 2.322</td>
                <td>0 → 0.816</td>
                <td>3.5321</td>
                <td>0.454</td>
                <td>0.168</td>
                <td>0.979</td>
              </tr>
              <tr>
                <td>Sample 4</td>
                <td>0 → 1.863</td>
                <td>0 → 0.816</td>
                <td>2.7113</td>
                <td>0.415</td>
                <td>0.154</td>
                <td>0.991</td>
              </tr>
              <tr>
                <td>Sample 5</td>
                <td>0 → 1.844</td>
                <td>0 → 0.816</td>
                <td>4.3775</td>
                <td>1.104</td>
                <td>0.410</td>
                <td>0.967</td>
              </tr>
              <tr>
                <td>Sample 6</td>
                <td>0 → 1.719</td>
                <td>0 → 0.816</td>
                <td>2.4569</td>
                <td>0.400</td>
                <td>0.149</td>
                <td>0.994</td>
              </tr>
              <tr>
                <td>Sample 7</td>
                <td>0 → 1.555</td>
                <td>0 → 0.816</td>
                <td>1.8801</td>
                <td>0.286</td>
                <td>0.106</td>
                <td>0.988</td>
              </tr>
              <tr>
                <td>Sample 8</td>
                <td>0 → 1.480</td>
                <td>0 → 0.816</td>
                <td>1.9882</td>
                <td>0.353</td>
                <td>0.131</td>
                <td>0.985</td>
              </tr>
              <tr>
                <td>Sample 9</td>
                <td>0 → 1.471</td>
                <td>0 → 0.816</td>
                <td>2.0667</td>
                <td>0.387</td>
                <td>0.143</td>
                <td>0.978</td>
              </tr>
              <tr>
                <td>Sample 10</td>
                <td>0 → 1.267</td>
                <td>0 → 0.816</td>
                <td>1.7924</td>
                <td>0.392</td>
                <td>0.145</td>
                <td>0.996</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>2.2.6. Determination of Moisture Content NFB 51-004</p>
        <p>The moisture content is determined on the basis of ten samples as shown in <bold>Table 7</bold> below.</p>
        <p><bold>Table 7.</bold> Test parameters [<xref ref-type="bibr" rid="B31">31</xref>].</p>
        <table-wrap id="tbl7">
          <label>Table 7</label>
          <table>
            <tbody>
              <tr>
                <td>Materials</td>
                <td>Biofilm</td>
              </tr>
              <tr>
                <td>Numbers of samples</td>
                <td>10</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>Procedure</p>
        <p>Cut and mark the samples;Weigh the sample and record <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> m </mml:mi><mml:mn> 0 </mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ;Place the sample in an oven preheated to 80˚C for 10 minutes;Remove the sample, reweigh it and return it to the oven;Repeat the process until the successive variation between two measurements is less than 5% of the mass of the sample;We used dimensions of 50 × 25 × 10 mm in accordance with the standard for plastics regarding moisture content.</p>
        <p>The moisture content is calculated by the formula</p>
        <disp-formula id="FD6">
          <label>(6)</label>
          <mml:math>
            <mml:mrow>
              <mml:mi>H</mml:mi>
              <mml:mrow>
                <mml:mo>(</mml:mo>
                <mml:mi>%</mml:mi>
                <mml:mo>)</mml:mo>
              </mml:mrow>
              <mml:mo>=</mml:mo>
              <mml:mfrac>
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>m</mml:mi>
                    <mml:mn>0</mml:mn>
                  </mml:msub>
                  <mml:mo>−</mml:mo>
                  <mml:msub>
                    <mml:mi>m</mml:mi>
                    <mml:mi>f</mml:mi>
                  </mml:msub>
                </mml:mrow>
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>m</mml:mi>
                    <mml:mn>0</mml:mn>
                  </mml:msub>
                </mml:mrow>
              </mml:mfrac>
              <mml:mo>×</mml:mo>
              <mml:mn>100</mml:mn>
              <mml:mi>%</mml:mi>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p><inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> m </mml:mi><mml:mn> 0 </mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> : initial mass and <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> m </mml:mi><mml:mi> f </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> final mass, all in g.</p>
        <p>After that, we summarized the results obtained in <bold>Table 8</bold> below.</p>
        <p><bold>Table 8.</bold> Statistical humidity records.</p>
        <table-wrap id="tbl8">
          <label>Table 8</label>
          <table>
            <tbody>
              <tr>
                <td>
                  <italic>t</italic>
                  (minutes)
                </td>
                <td>0</td>
                <td>180</td>
                <td>
                  <inline-formula>
                    <mml:math>
                      <mml:mrow>
                        <mml:mi>%</mml:mi>
                        <mml:mi>H</mml:mi>
                      </mml:mrow>
                    </mml:math>
                  </inline-formula>
                </td>
                <td>
                  <inline-formula>
                    <mml:math>
                      <mml:mrow>
                        <mml:mi>%</mml:mi>
                        <mml:msub>
                          <mml:mi>H</mml:mi>
                          <mml:mrow>
                            <mml:mi>a</mml:mi>
                            <mml:mi>v</mml:mi>
                            <mml:mi>g</mml:mi>
                          </mml:mrow>
                        </mml:msub>
                      </mml:mrow>
                    </mml:math>
                  </inline-formula>
                </td>
                <td>
                  <inline-formula>
                    <mml:math>
                      <mml:mi>σ</mml:mi>
                    </mml:math>
                  </inline-formula>
                </td>
              </tr>
              <tr>
                <td>Sample 1</td>
                <td>14.562</td>
                <td>14.55</td>
                <td>0.08240626</td>
                <td>-</td>
                <td>-</td>
              </tr>
              <tr>
                <td>Sample 2</td>
                <td>16.779</td>
                <td>16.721</td>
                <td>0.34567018</td>
                <td>-</td>
                <td>-</td>
              </tr>
              <tr>
                <td>Sample 3</td>
                <td>11.511</td>
                <td>11.498</td>
                <td>0.11293545</td>
                <td>-</td>
                <td>-</td>
              </tr>
              <tr>
                <td>Sample 4</td>
                <td>13.658</td>
                <td>13.645</td>
                <td>0.09518231</td>
                <td>-</td>
                <td>-</td>
              </tr>
              <tr>
                <td>Sample 5</td>
                <td>14.788</td>
                <td>14.779</td>
                <td>0.06086016</td>
                <td>-</td>
                <td>-</td>
              </tr>
              <tr>
                <td>Sample 6</td>
                <td>14.12</td>
                <td>14.104</td>
                <td>0.11331445</td>
                <td>-</td>
                <td>-</td>
              </tr>
              <tr>
                <td>Sample 7</td>
                <td>12.263</td>
                <td>12.249</td>
                <td>0.11416456</td>
                <td>0.15234125</td>
                <td>0.09752573</td>
              </tr>
              <tr>
                <td>Sample 8</td>
                <td>18.971</td>
                <td>18.954</td>
                <td>0.08961046</td>
                <td>-</td>
                <td>-</td>
              </tr>
              <tr>
                <td>Sample 9</td>
                <td>15.248</td>
                <td>15.204</td>
                <td>0.28856243</td>
                <td>-</td>
                <td>-</td>
              </tr>
              <tr>
                <td>Sample 10</td>
                <td>14.952</td>
                <td>14.919</td>
                <td>0.22070626</td>
                <td>-</td>
                <td>-</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>2.2.7. Determination of Tree Point Bending Test</p>
        <p>The bending behavior of the material was determined using the LDW-1 universal mechanical testing machine of CeCaM (Characterization Center of Materials, Cameroon). This machine is computer-controlled. Its maximum force cell is 5 kN and the maximum crosshead speed is 500 mm/min. The test was performed in accordance with NF EN 312-2 (2014) [<xref ref-type="bibr" rid="B30">30</xref>]. </p>
        <p>The specimen was placed on two support platforms. Its deformation to failure was achieved using purling applied at an equal distance from the supports with a constant speed of 2 mm/min. The distance between the supports was taken to be 80 mm. During the experiments, the force applied by the purling F and the displacement of the beam were recorded. These data were used to obtain the force-displacement curves.</p>
      </sec>
    </sec>
    <sec id="sec3">
      <title>3. Results and Discussion</title>
      <p><bold>Table 9</bold> below summarizes the statistics for the various properties studied. We have identified the minimum and maximum values for each sample, as well as the means and standard deviations for each property.</p>
      <p><bold>Table 9</bold><bold>.</bold> Summary table of the statistics examined.</p>
      <table-wrap id="tbl9">
        <label>Table 9</label>
        <table>
          <tbody>
            <tr>
              <td>Properties</td>
              <td>minimum</td>
              <td>maximum</td>
              <td>mean</td>
              <td>Standard deviation</td>
            </tr>
            <tr>
              <td>Water Absorption rate (%)</td>
              <td>1.267 (S10)</td>
              <td>2.881 (S1)</td>
              <td>1.913</td>
              <td>0.551</td>
            </tr>
            <tr>
              <td>Density (%)</td>
              <td>1.0086 (S10)</td>
              <td>1.1111 (S1)</td>
              <td>1.055</td>
              <td>0.034</td>
            </tr>
            <tr>
              <td>moisture content (%)</td>
              <td>0.0608 (S5)</td>
              <td>0.3456 (S2)</td>
              <td>0.152</td>
              <td>0.098</td>
            </tr>
            <tr>
              <td>breaking strength (N)</td>
              <td>32.3 (S10)</td>
              <td>205.3 (S8)</td>
              <td>88.7</td>
              <td>-</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
      <sec id="sec3dot1">
        <title>3.1. Density Histogram</title>
        <p>Results obtained from <bold>Table 2</bold> have been summarized to obtain the graph of density distribution of the PVC waste and sand composite below (<xref ref-type="fig" rid="fig7">Figure 7</xref>). </p>
        <fig id="fig7">
          <label>Figure 7</label>
          <graphic xlink:href="https://html.scirp.org/file/1741533-rId81.jpeg?20260727115426" />
        </fig>
        <p><bold>Figure 7</bold><bold>.</bold> Density Histogram for PVC waste/sand composite density.</p>
        <p>The density histogram for the PVC waste/sand composite (<xref ref-type="fig" rid="fig7">Figure 7</xref>) shows that the density varies between 1.0086 g/cm<sup>3</sup> (Sample 10, 100% PVC) and 1.1111 g/cm<sup>3</sup> (Sample 1, 10% PVC), with a mean value of 1.055 g/cm<sup>3</sup> and a standard deviation of 0.034 g/cm<sup>3</sup>. The density decreases as the proportion of PVC increases, which is advantageous for roofing applications because lower density results in lighter tiles. These results are consistent with those obtained by G.O. Bamigboye in ref [<xref ref-type="bibr" rid="B32">32</xref>] and Mehdi Seghiri in ref [<xref ref-type="bibr" rid="B33">33</xref>], and comply with the NF EN 1304 standard.</p>
      </sec>
      <sec id="sec3dot2">
        <title>3.2. Water Absorption Rate</title>
        <p>Results obtained have been summarized to obtain the graph of absorption distribution of the PVC waste and sand composite below (<xref ref-type="fig" rid="fig8">Figure 8</xref>).</p>
        <fig id="fig8">
          <label>Figure 8</label>
          <graphic xlink:href="https://html.scirp.org/file/1741533-rId82.jpeg?20260727115427" />
        </fig>
        <p><bold>Figure 8.</bold> PVC waste /sand composite for water absorption rate.</p>
        <p>The histogram of water absorption rates above shows the variation in water absorption rates for each sample. However, the tenth sample performs the best, as it absorbs less water than the others. The water absorption rate ranges from 1.267% (sample 10) to 2.881% (sample 1), with a mean value of 1.913% and a standard deviation of 0.551%. The absorption rate decreases as the PVC content increases, demonstrating the hydrophobic nature of the polymer matrix. These results are consistent with those obtained by G.O. Bamigboye in ref [<xref ref-type="bibr" rid="B33">33</xref>].</p>
      </sec>
      <sec id="sec3dot3">
        <title>3.3. Water Absorption Kinetics</title>
        <p>The fitting curves and R<sup>2</sup> values are presented in <xref ref-type="fig" rid="fig9">Figure 9</xref> below. The slope <italic>k</italic> of the linear portion of the curve <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi> M </mml:mi><mml:mi> t </mml:mi></mml:msub><mml:mo> = </mml:mo><mml:mi> f </mml:mi><mml:mrow><mml:mo> ( </mml:mo><mml:mrow><mml:mrow><mml:mrow><mml:msqrt><mml:mi> t </mml:mi></mml:msqrt></mml:mrow><mml:mo> / </mml:mo><mml:mi> h </mml:mi></mml:mrow></mml:mrow><mml:mo> ) </mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula> was determined by linear regression for the first 24 hours (<italic>M</italic><italic><sub>t</sub></italic> &lt; 60% of <italic>M</italic><italic><sub>m</sub></italic>). The diffusion coefficient <italic>D</italic>was calculated using Equation (4), then corrected using Equation (5). The obtained values are presented in <bold>Table 6</bold>. The goodness-of-fit of the Fickian diffusion model was validated by calculating the coefficient of determination (R<sup>2</sup>) for each formulation.</p>
        <fig id="fig9">
          <label>Figure 9</label>
          <graphic xlink:href="https://html.scirp.org/file/1741533-rId85.jpeg?20260727115427" />
        </fig>
        <p><bold>Figure 9.</bold> Water absorption kinetics of the PVC waste/sand composites.</p>
        <p>The water absorption kinetics of the PVC waste/sand composites were investigated by monitoring the mass evolution of samples over a 96-hour immersion period. The R<sup>2</sup> values range from 0.967 (Sample 5) to 0.994 (Sample 6), with all values exceeding 0.96, demonstrating excellent agreement between the experimental data and the Fickian model. This confirms that water absorption in these composites follows Fickian diffusion behavior, characterized by a linear relationship between mass uptake and the square root of time divided by thickness during the initial stage<bold>.</bold> The corrected diffusion coefficients <italic>D</italic><italic><sub>c</sub></italic> range from 0.106 × 10<sup>−6</sup> mm<sup>2</sup>/s (Sample 7) to 0.410 × 10<sup>−6</sup> mm<sup>2</sup>/s (Sample 5). These relatively low values indicate that the material is hydrophobic [<xref ref-type="bibr" rid="B8">8</xref>][<xref ref-type="bibr" rid="B16">16</xref>], making it an ideal candidate for roofing tile applications where water resistance is essential. The slight decrease in diffusion coefficients with increasing PVC content can be attributed to the hydrophobic nature of the polymer matrix, which reduces water ingress into the composite. The validation of the Fickian model with high R<sup>2</sup> values provides a reliable basis for predicting long-term water absorption behavior of these composites under service conditions. Since these values, measured over 96 hours, are relatively low, it can be concluded that the material is hydrophobic [<xref ref-type="bibr" rid="B8">8</xref>]. This makes it an ideal alternative for the manufacture of roof tiles that are moisture-resistant and durable.</p>
      </sec>
      <sec id="sec3dot4">
        <title>3.4. Moisture Content Histogram</title>
        <p><xref ref-type="fig" rid="fig10">Figure 10</xref> shows the moisture content of the composite, which varies between 0.0608% (Sample 5) and 0.3456% (Sample 2), with a mean value of 0.1523% and a standard deviation of 0.0975% (calculated from <bold>Table 8</bold>). These low values indicate that the composite is insensitive to humidity, as both constituent materials (sand and PVC) are also insensitive to moisture. Consequently, the effect of moisture on the degradation of the sand-reinforced PVC composite tiles will be minor, making this composite ideal for roofing applications.</p>
        <fig id="fig10">
          <label>Figure 10</label>
          <graphic xlink:href="https://html.scirp.org/file/1741533-rId86.jpeg?20260727115428" />
        </fig>
        <p><bold>Figure 10.</bold> Moisture content chart.</p>
      </sec>
      <sec id="sec3dot5">
        <title>3.5. Flexural Strength</title>
        <p><xref ref-type="fig" rid="fig11">Figure 11</xref> shows the force-displacement curves obtained during three-point bending tests on the various PVC/sand composite specimens.</p>
        <p><xref ref-type="fig" rid="fig11">Figure 11</xref>below shows the flexural strength of the composite. From the flexural graph below, the forces noted at the ultimate stress point vary between 32.3N for a displacement of 0.395 mm in sample 10, and 205.3N for a displacement of 0.9245 mm in sample 8. The average force for samples 1 to 10 to undergo failure should be 88.7N. It is important to note that, the higher the displacement of the material, the better its elasticity. As such, the material is void of brittleness. Therefore, the sample denoted 8 is the best choice for the composite roofing tiles even though it less dense and has a higher water absorption rate than sample 10. This is because sample 10 has a low strength or flexural strength than sample 8 and thus sample is brittle and vulnerable to crack and breakage.</p>
        <fig id="fig11">
          <label>Figure 11</label>
          <graphic xlink:href="https://html.scirp.org/file/1741533-rId87.jpeg?20260727115428" />
        </fig>
        <p><bold>Figure 11.</bold> Force-displacement curve.</p>
      </sec>
      <sec id="sec3dot6">
        <title>3.6. Bending Stress</title>
        <p>The flexural stress (or rupture stress) was calculated from the maximum recorded force, using equation (1) presented in section 2-2-7. <xref ref-type="fig" rid="fig12">Figure 12</xref> illustrates the evolution of flexural stress as a function of PVC content.</p>
        <fig id="fig12">
          <label>Figure 12</label>
          <graphic xlink:href="https://html.scirp.org/file/1741533-rId88.jpeg?20260727115428" />
        </fig>
        <p><bold>Figure 12</bold><bold>.</bold> Bending strength curve as a function of plastic content.</p>
        <p>This figure shows how flexural strength varies with plastic content. It demonstrates that flexural strength increases when the plastic content is between 10% and 80%. Specifically, for plastic contents ranging from 80% to 100%, flexural strength increases by 8 to 9 MPa. The increase in strength for plastic contents of 80 to 100% could be explained by the fact that the mixture contains a sufficient amount of plastic to bind or coat the sand grains. Flexural strength is low when the plastic content is between 10 and 30%. For these contents, the strength drops from 1 to 3.5 MPa. Above 30% plastic, the strength increases because the amount of plastic in the mixture is high. Indeed, the more plastic there is in the mixture, the more the material’s strength will tend toward that of the plastic, which is low. These results are fully consistent with the studies in [<xref ref-type="bibr" rid="B34">34</xref>][<xref ref-type="bibr" rid="B35">35</xref>] and work on Industrial Elaboration by Extrusion of PVC Tubes Loaded with Micronized Dura Palm Kernel Shell Powder [<xref ref-type="bibr" rid="B36">36</xref>].</p>
      </sec>
    </sec>
    <sec id="sec4">
      <title>4. Conclusion</title>
      <p>The proposal for the use of PVC waste for the production of roof tiles should be considered by taking into account this research. From the series of tests carried out on this composite compared with other roof tiles such as those composed of cement, the recycled PVC tiles have water absorption estimations that are generally low, are lightweight, and have a long lifespan. Also, the recycled PVC tile is non-corrosive, like the corrugated iron sheets for roofing that are available in the market. Furthermore, the composition of sample 8 of the recycled PVC roof tile gives the best outcomes both physically and mechanically. This implies that the recycled PVC tile can be considered for all intents. Its qualities are moderately better, and as a result of these qualities, it can be produced in large quantities using PVC waste and river sand as an alternative for house builders. More so, when this roof tile is found to be effective, more effort will be made in adopting the product within every community, thereby reducing environmental pollution caused by waste PVC and the country’s dependence on importation of roofing sheets from the western world. However, this work is just part of an investigation that can be carried out to valorize PVC waste in our communities for the production of roof covers. More research can be carried out for the application of this composite to produce poles for electrical power distribution.</p>
    </sec>
    <sec id="sec5">
      <title>Data Availability</title>
      <p>The data used to support the findings of this study are available and can be gotten from the corresponding author upon request.</p>
    </sec>
    <sec id="sec6">
      <title>Author Contributions</title>
      <p>Zakari Yaou: Conceptualization, funding acquisition, writing-original draft.</p>
      <p>Laynde Tawe: Methodology, validation, formal analysis, writing-original draft. </p>
      <p>Bernard Dadi Gaga<bold>:</bold> Methodology, validation.</p>
      <p>Yannick Serge Evoung Nnengue: Formal analysis, writing-review &amp; editing.</p>
      <p>Ismael Figapka Pagore: Data curation, investigation, writing-review &amp; editing.</p>
      <p>Noel Konai: Supervision.</p>
      <p>Florent Biyeme: Supervision.</p>
    </sec>
  </body>
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