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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">ojce</journal-id>
      <journal-title-group>
        <journal-title>Open Journal of Civil Engineering</journal-title>
      </journal-title-group>
      <issn pub-type="epub">2164-3172</issn>
      <issn pub-type="ppub">2164-3164</issn>
      <publisher>
        <publisher-name>Scientific Research Publishing</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.4236/ojce.2026.163025</article-id>
      <article-id pub-id-type="publisher-id">ojce-153091</article-id>
      <article-categories>
        <subj-group>
          <subject>Article</subject>
        </subj-group>
        <subj-group>
          <subject>Engineering</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Influence of Cement Content on Thermophysical and Mechanical Properties of Compacted Earth Bricks Made from Kaolinitic and Lateritic Soils: Experimental Study</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Zakaria</surname>
            <given-names>Mouctar Mahamat</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Karka</surname>
            <given-names>Bozabe Renonet</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Moungache</surname>
            <given-names>Amir</given-names>
          </name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Barka</surname>
            <given-names>Mahamat</given-names>
          </name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
      </contrib-group>
      <aff id="aff1"><label>1</label> Department of Civil Engineering, National Higher Institute of Arts and Crafts of Biltine (INSAMB), Biltine, Chad </aff>
      <aff id="aff2"><label>2</label> Faculty of Exact and Applied Sciences, University of N’Djaména, N’Djamena, Chad </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>01</day>
        <month>09</month>
        <year>2026</year>
      </pub-date>
      <pub-date pub-type="collection">
        <month>09</month>
        <year>2026</year>
      </pub-date>
      <volume>16</volume>
      <issue>03</issue>
      <fpage>474</fpage>
      <lpage>492</lpage>
      <history>
        <date date-type="received">
          <day>07</day>
          <month>07</month>
          <year>2026</year>
        </date>
        <date date-type="accepted">
          <day>08</day>
          <month>08</month>
          <year>2026</year>
        </date>
        <date date-type="published">
          <day>11</day>
          <month>08</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/ojce.2026.163025">https://doi.org/10.4236/ojce.2026.163025</self-uri>
      <abstract>
        <p>This study explores the impact of the cement content (4%, 6%, and 8%) on the thermophysical and mechanical properties of compressed earth bricks produced from a mixture of kaolinitic (60%), lateritic (12% - 16%), and sandy (20%) soils. The results regarding thermophysical properties indicate that an increase in the cement content from 6% to 8%, combined with a 28-day curing period, leads to a gradual increase in bulk density, from 1859 to 1863 kg/m<sup>3</sup> (5.9%), thermal conductivity, which ranges from 0.601 to 0.690 W/m·K (14.8%); thermal effusivity, which increases from 1202 to 1328.5 W/m<sup>2</sup>·K·S<sup>1</sup>/<sup>2</sup> (+10.5%), thermal diffusivity, which rises from 2.53 to 2.71 × 10<sup>−</sup><sup>7</sup> m<sup>2</sup>/s (+7.1%), and a nearly constant specific heat capacity ranging from 1357.76 to 1367.54 J/kg·K (+0.7%). In contrast, thermal resistance decreased from 0.33 to 0.28 m<sup>2</sup>·K/W (−15.2%). As for mechanical properties, compressive strength increased from 1.78 to 3.51 MPa (+97%) with a 4% cement addition and curing periods of 3, 7, and 28 days; from 2.34 to 4.44 MPa (+89.74%) with a 6% cement addition and curing for 3, 7, and 28 days; and from 3.03 to 6.08 MPa (+100%) with an 8% cement addition and curing for 3, 7, and 28 days. All formulations exceed the minimum compressive strength of 2 MPa generally recommended by several standards for stabilized clay bricks. The 6% and 8% formulations meet the requirements for bricks used in load-bearing walls. The 8% formulation provides very high compressive strength and can be used in sustainable construction.</p>
      </abstract>
      <kwd-group kwd-group-type="author-generated" xml:lang="en">
        <kwd>Compressed Earth Bricks</kwd>
        <kwd>Cement Stabilization</kwd>
        <kwd>Thermophysical Properties</kwd>
        <kwd>Mechanical Properties</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec1">
      <title>1. Introduction</title>
      <p>In developing countries such as Chad, the global issue of climate change, along with spatial and demographic expansion driven by rural exodus and refugee migration, has led to the emergence of peri-urban areas where housing quality has become a major challenge. This situation has resulted in an increase in household energy consumption and, subsequently, a housing crisis. Most traditional building materials, such as concrete, are imported and expensive, making it difficult for average households to build decent housing. It is therefore necessary to find alternative construction methods using other materials, such as earth. This material, available worldwide, represents a viable option in the construction sector to meet the needs of the population.</p>
      <p>One of the reasons for using earth in construction is its availability near the housing construction site. In addition, earth-based materials offer beneficial thermal and hydrological properties. Their high thermal inertia [<xref ref-type="bibr" rid="B1">1</xref>][<xref ref-type="bibr" rid="B2">2</xref>], combined with a high storage capacity [<xref ref-type="bibr" rid="B3">3</xref>]-[<xref ref-type="bibr" rid="B5">5</xref>], allows for passive temperature regulation inside buildings, thereby contributing to thermal comfort.</p>
      <p>Although rammed earth structures offer many advantages, their unstabilized nature presents some disadvantages, such as insufficient mechanical strength, inevitable cracks caused by shrinkage, and, above all, their high sensitivity to water. From ancient times to the present day, people have sought to improve the properties of earthen structures and reduce their sensitivity to water by using various soil stabilization methods. This experience has led to the emergence of various earthen construction techniques, such as adobe, rammed earth, cob, and compressed earth blocks (CEB), among others.</p>
      <p>To address these shortcomings, the stabilization of compressed earth blocks through the addition of cement has, over time, established itself as a compromise between traditional techniques and modern requirements. Ordinary Portland cement has become the most commonly used stabilizer in most previous research on stabilized earth bricks techniques due to its ability to achieve high strength within 28 days.</p>
      <p>According to numerous authors, including [<xref ref-type="bibr" rid="B6">6</xref>]-[<xref ref-type="bibr" rid="B18">18</xref>], the thermophysical properties of cement-stabilized compressed earth bricks tend to increase with the addition of cement, while thermal resistance tends to decrease. Regarding mechanical properties, according to studies by [<xref ref-type="bibr" rid="B8">8</xref>]-[<xref ref-type="bibr" rid="B11">11</xref>][<xref ref-type="bibr" rid="B17">17</xref>][<xref ref-type="bibr" rid="B19">19</xref>]-[<xref ref-type="bibr" rid="B23">23</xref>], the stabilization of compressed earth bricks with cement results in a gradual increase in compressive strength, generally in the range of 2 to 7 MPa, with this variation depending on the mixture composition and curing conditions.</p>
      <p>The main objective of this article is to experimentally study the thermophysical and mechanical properties of cement-stabilized compressed earth bricks made from kaolinitic and lateritic soils, with a view to optimizing their performance for use in construction.</p>
    </sec>
    <sec id="sec2">
      <title>2. Materials and Methods</title>
      <sec id="sec2dot1">
        <title>2.1. Materials Used</title>
        <p>2.1.1. Soils</p>
        <p><bold>1)</bold><bold>Location of the Study Sites</bold></p>
        <p>The soils examined in this study are from the city of Moundou, located in southwestern Chad, approximately 450 km from the capital, Ndjamena. The city is situated between three bodies of water: Lake Taba to the north, the Logone River to the southeast, and Lake Wey to the west. The city is situated in a flat basin on the banks of the Logone River at 8.550˚ north latitude and 16.090˚ east longitude. Temperatures in the city range from 10˚C to 31˚C, with an annual average of 27˚C. The dry season lasts approximately 5 months (from November to the end of March), but its boundaries are highly variable. The city has a Sudanian-type semi-humid tropical climate with an average annual rainfall of 1127 mm. The soil types in Moundou consist primarily of three types characteristic of the Sudanese zone [<xref ref-type="bibr" rid="B24">24</xref>]:</p>
        <p>- hydromorphic soils covered with recent and ancient alluvial deposits in the floodplains. These are beige, sandy-clay and silty soils that are frequently flooded during the rainy season.</p>
        <p>- leached ferralitic soils on the non-flooded areas, which are gray-brown in color, very sandy on the surface, and sandy loam deeper down.</p>
        <p>- red soils, which are sandy deeper down and covered with a lateritic crust, particularly on the upper parts of plateaus.</p>
        <p><bold>2)</bold><bold>Sampling</bold></p>
        <p>For this study, three soil varieties were selected to examine their geotechnical profiles and determine their suitability for inclusion in mixtures used to manufacture earthen bricks. The clay was sourced from the teacher training college’s quarry, located at the following geographic coordinates: 8˚33'11.74"N, 16˚04'41.95"E. The laterite was extracted 80 cm below the natural ground level from the Koutou quarry, located at the northern entrance to Moundou at 8˚35'59.68"N, 16˚04’0.97"E. The sand comes from the Lac Wey quarry, located west of the city of Moundou. It was extracted from the riverbed at a depth of approximately 3 meters below the natural ground level. Its coordinates are 8˚33'14.9"N, 16˚03'10.59"E. The soil in all of these quarries has been mined for decades by local communities, primarily for the production of adobe bricks and roofing and wall coverings.</p>
        <p><bold>3)</bold><bold>Geotechnical Characterization of Soils Used</bold></p>
        <p><bold>Table 1</bold> illustrates the different particle size classes of the three types of soil used in brick manufacturing.</p>
        <p><bold>Table 1</bold> presents the particle size classes for three types of soil. Particles larger than 2 mm are negligible, with percentages passing through a 0.08 mm sieve of 77.08%, 45.7%, and 49.7%. All soils contain more than 35% fine particles (&lt;80 μm) </p>
        <p><bold>Table 1.</bold> Different particle size classes of the three types of soil used.</p>
        <table-wrap id="tbl1">
          <label>Table 1</label>
          <table>
            <tbody>
              <tr>
                <td rowspan="2">Soil origin (quarries)</td>
                <td rowspan="2">
                  Apparent density
                  <inline-formula>
                    <mml:math>
                      <mml:mrow>
                        <mml:msub>
                          <mml:mi>ρ</mml:mi>
                          <mml:mi>a</mml:mi>
                        </mml:msub>
                      </mml:mrow>
                    </mml:math>
                  </inline-formula>
                  (g/cm
                  <sup>3</sup>
                  )
                </td>
                <td colspan="3">Particle size distribution</td>
                <td colspan="3">Atterberg limits</td>
                <td rowspan="2">Proctor testWOPM (%)</td>
              </tr>
              <tr>
                <td>Gravel (%) &gt; 2 mm</td>
                <td>Sand (%) 0.08 - 2 mm</td>
                <td>Fines (%)(silt + clay)&lt; 80 μm (%)</td>
                <td>LL (%)</td>
                <td>PL (%)</td>
                <td>PI (%)</td>
              </tr>
              <tr>
                <td>Teacher training college’s (Clay)</td>
                <td>1.22</td>
                <td>0.36</td>
                <td>22.56</td>
                <td>77.08</td>
                <td>63.8</td>
                <td>32.39</td>
                <td>31.41</td>
                <td rowspan="3">18</td>
              </tr>
              <tr>
                <td>Koutou (Laterite)</td>
                <td>1.36</td>
                <td>3.39</td>
                <td>50.91</td>
                <td>45.7</td>
                <td>33</td>
                <td>16.55</td>
                <td>16.45</td>
              </tr>
              <tr>
                <td>Lac Wey (Sand)</td>
                <td>1.6</td>
                <td>1.46</td>
                <td>48.84</td>
                <td>49.7</td>
                <td>34.75</td>
                <td>24.04</td>
                <td>10.71</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>and are therefore classified as fine soils according to the [<xref ref-type="bibr" rid="B25">25</xref>]. The soil at the teacher training college’s, classified as clayey or silty (77.08% passing through the 0.08 mm sieve), is dominated by fine particles. The lateritic soil at Koutou, with 45.7% fines, is rich in sand, classifying it as sandy with fines. The soil at Lac Wey, with 49.7% fines, lies on the boundary between coarse and fine soils and is classified as coarse. Using the results of Atterberg limit tests—specifically the plasticity index and the liquid limit—the Casagrande diagram ([<xref ref-type="bibr" rid="B26">26</xref>] and the USCS soil classification system [<xref ref-type="bibr" rid="B27">27</xref>]), these soils can be classified as follows: clay soil at teacher training college’s (MH), lateritic clayey sand from Koutou (SC), and silty-clayey sand from Lac Wey (SM-SC).</p>
        <p>Knowing the nature of these three soil types, we determined the optimum moisture content using the modified Proctor test. The optimum moisture content (WOPM) is 18%.</p>
        <p><bold>4)</bold><bold>Classification and Mineralogical Identification of Soils in Use</bold></p>
        <p><bold>Table 2</bold> presents the methylene blue values (MBV), the blue activity index (BAI), the specific surface area (SS), and the cation exchange capacity (CEC) of our soils.</p>
        <p><bold>Table 2.</bold> Classification and mineralogical identification of soils in use.</p>
        <table-wrap id="tbl2">
          <label>Table 2</label>
          <table>
            <tbody>
              <tr>
                <td>Soil origin</td>
                <td>MBV (g/100g)</td>
                <td>BAI (%)</td>
                <td>
                  SS (m
                  <sup>2</sup>
                  /g)
                </td>
                <td>CEC (meq/100g)</td>
                <td>Probable mineralogical type</td>
              </tr>
              <tr>
                <td>Teacher training college’s (Clay)</td>
                <td>5.2</td>
                <td>0.06</td>
                <td>108.83</td>
                <td>13.9</td>
                <td>Kaolinitic-silty</td>
              </tr>
              <tr>
                <td>Koutou (Laterite)</td>
                <td>3.3</td>
                <td>0.07</td>
                <td>69.06</td>
                <td>8.82</td>
                <td>Sandy lateritic</td>
              </tr>
              <tr>
                <td>Lac Wey (Sand)</td>
                <td>2.1</td>
                <td>0.04</td>
                <td>43.95</td>
                <td>5.61</td>
                <td>Silty-lateritic</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p><bold>Table 2</bold> shows that the analyzed soils, characterized by medium to low plasticity, have a blue activity index (BAI) below 3, indicating their inactivity. They consist mainly of kaolinite, with less illite, and exhibit a significant cation exchange capacity (CEC) typical of kaolinite/laterite soils. The results indicate that these soils do not possess the characteristics of highly expansive soils such as smectite or montmorillonite, but rather those of tropical lateritic soils dominated by weakly active kaolinite, revealing a clear consistency in the data.</p>
        <p>2.1.2. Cement</p>
        <p>In our study, we used CPJ-CEM II 32.5 composite Portland cement, consisting of 65% clinker and 35% additives (limestone, slag, or fly ash). It is manufactured locally by the Société Nationale de Ciment (SONACIM).</p>
        <p>2.1.3. Formulations and Manufacturing of Stabilized Earth Bricks</p>
        <p><bold>1</bold><bold>)</bold><bold>Formulations</bold></p>
        <p>The composition of the mixtures used in this study is presented in <bold>Table 3</bold>.</p>
        <p>Based on these material proportions, we used three (3) formulations to manufacture cement-stabilized, compressed earth bricks. They are summarized in <bold>Table 4</bold>.</p>
        <p><bold>Table 3.</bold> Composition of the various material mixtures.</p>
        <table-wrap id="tbl3">
          <label>Table 3</label>
          <table>
            <tbody>
              <tr>
                <td>Materials</td>
                <td>Mix proportions</td>
              </tr>
              <tr>
                <td>S1: Soils from teacher training college’s (Clay)</td>
                <td>60%</td>
              </tr>
              <tr>
                <td>S2: Soils from Koutou (Laterite)</td>
                <td>16%, 14%, and 12%</td>
              </tr>
              <tr>
                <td>S3: Soils from Lac Wey (Sand)</td>
                <td>20%</td>
              </tr>
              <tr>
                <td>C: Cement</td>
                <td>4%, 6%, and 8%</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p><bold>Table 4.</bold> Material formulations for the manufacture of stabilized bricks.</p>
        <table-wrap id="tbl4">
          <label>Table 4</label>
          <table>
            <tbody>
              <tr>
                <td>Formulations</td>
                <td>Compositions (%)</td>
              </tr>
              <tr>
                <td>F1</td>
                <td>60% S1 + 16% S2 + 20% S3+ 4% C</td>
              </tr>
              <tr>
                <td>F2</td>
                <td>60% S1 + 14% S2 + 20% S3 + 6% C</td>
              </tr>
              <tr>
                <td>F3</td>
                <td>60% S1 + 12% S2 + 20% S3 + 8% C</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p><bold>2</bold><bold>)</bold><bold>Manufacturing</bold></p>
        <p>As part of our study, we initially prepared masonry blocks measuring 30 × 15 × 13 cm<sup>3</sup> to analyze the mechanical properties of the bricks. Subsequently, in accordance with the experimental conditions for the thermal tests, we were required to modify the size of our brick samples. We therefore manufactured bricks measuring 8 × 5 × 4 cm<sup>3</sup>. However, all test specimens (30 × 15 × 13 cm<sup>3</sup> and 8 × 5 × 4 cm<sup>3</sup>) were manufactured using the same methods and formulations, with the exception of their molds, which were different. They were produced using the conventional method (mixing, compaction, and demolding). Initially, the natural clay was sun-dried, manually crushed, and then sieved before being combined with the binders (cements) in accordance with the standard [<xref ref-type="bibr" rid="B28">28</xref>] (<xref ref-type="fig" rid="fig1">Figure 1(a)</xref>). The materials were first mixed dry, according to the various formulations listed in <bold>Table 4</bold>. Subsequently, a quantity of water corresponding to the optimal water content was instantly added to the mixture, followed by mixing (<xref ref-type="fig" rid="fig1">Figure 1(b)</xref>). The required amount of mixture was weighed and placed into the mold (<xref ref-type="fig" rid="fig1">Figure 1(c)</xref>). To increase the density of the material and bring the solid grains closer together, the static compaction technique is used. For this study, we used a lightweight manual press with a pressing force of 5 to 10 metric tons and a production rate of 300 to 600 blocks per day (<xref ref-type="fig" rid="fig1">Figure 1(d)</xref>).</p>
        <fig id="fig1">
          <label>Figure 1</label>
          <graphic xlink:href="https://html.scirp.org/file/1882200-rId15.jpeg?20260811015840" />
        </fig>
        <p><bold>Figure 1.</bold> Test specimen preparation: (a) sieving the ground material; (b) mixing the material; (c) filling the mold with the material; (d) manual compaction press.</p>
        <p>The maximum curing period is set at 28 days. However, for the mechanical tests, the stabilized earth bricks were tested after curing periods of 3, 7, and 28 days. In total, 18 brick samples were used for the mechanical tests (6 for the 4% cement formulation, 6 for the 6% cement formulation, and 6 for the 8% cement formulation). For the bricks used in the thermophysical measurements, the maximum curing period was set at 28 days. The samples were then dried for 24 hours in an oven to completely remove all traces of moisture. Subsequently, green sandpaper was used to sand these elements in order to obtain flat surfaces that ensure optimal contact with the heating element (<xref ref-type="fig" rid="fig2">Figure 2</xref>). Twelve (12) brick samples were used for the thermal tests (4 for the 4% cement formulation, 4 for the 6% cement formulation, and 4 for the 8% cement formulation).</p>
        <fig id="fig2">
          <label>Figure 2</label>
          <graphic xlink:href="https://html.scirp.org/file/1882200-rId16.jpeg?20260811015840" />
        </fig>
        <p><bold>Figure 2.</bold> Bricks that have been dried and sanded with green sandpaper.</p>
        <p><bold>3</bold><bold>)</bold><bold>Curing of the</bold><bold>Blocks</bold></p>
        <p>Curing involves keeping the material in a sufficiently humid environment for a sufficient period of time to maximize chemical reactions. The use of hydraulic binders such as cement requires a curing period to allow hydration reactions to occur under optimal conditions, thereby improving the binder’s effectiveness. In our case, after demolding, the manufactured blocks are kept in a humid atmosphere at room temperature in the laboratory and are covered with a curing bag made of plastic film to maintain humidity (<xref ref-type="fig" rid="fig3">Figure 3(a)</xref>). After a curing period, the test specimens are removed and stored in a temperature-controlled room at 20˚C and 50% relative humidity for drying. The maximum curing time for our test specimens is 28 days. The test specimens are then marked and subjected to various tests (<xref ref-type="fig" rid="fig3">Figure 3(b)</xref>).</p>
        <fig id="fig3">
          <label>Figure 3</label>
          <graphic xlink:href="https://html.scirp.org/file/1882200-rId17.jpeg?20260811015840" />
        </fig>
        <p><bold>Figure 3.</bold> Preparation of test specimens: (a) curing using plastic wrap; (b) test specimens marked for testing.</p>
      </sec>
      <sec id="sec2dot2">
        <title>2.2. Experimental Methods</title>
        <p>2.2.1. Characterization of Thermophysical Properties</p>
        <p><bold>1)</bold><bold>Physical Properties</bold></p>
        <p><bold>a)</bold><bold>Bulk Density</bold></p>
        <p>The hydrostatic weighing method, in accordance with the standard [<xref ref-type="bibr" rid="B29">29</xref>], was used to determine the density of the stabilized and compressed bricks. The principle involves weighing a sample that has been dried at 105˚C in an oven until a stable mass is achieved, then coating its entire outer surface with paraffin, and finally weighing it in open air. The paraffin-coated bricks are then submerged in water. Given that paraffin has a density of 0.88 g/cm<sup>3</sup>, the apparent density (<inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> ρ </mml:mi><mml:mi> a </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ) of the dry bricks is calculated using Archimedes’ principle and equation (1).</p>
        <disp-formula id="FD1">
          <label>(1)</label>
          <mml:math>
            <mml:mrow>
              <mml:msub>
                <mml:mi>ρ</mml:mi>
                <mml:mi>a</mml:mi>
              </mml:msub>
              <mml:mo>=</mml:mo>
              <mml:mfrac>
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>m</mml:mi>
                    <mml:mi>s</mml:mi>
                  </mml:msub>
                </mml:mrow>
                <mml:mi>V</mml:mi>
              </mml:mfrac>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p><inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> m </mml:mi><mml:mi> s </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> : mass of the sample; <inline-formula><mml:math display="inline"><mml:mi> V </mml:mi></mml:math></inline-formula> : volume of the sample; <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> m </mml:mi><mml:mi> p </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> : mass of the dry, paraffin-coated sample; <inline-formula><mml:math><mml:mrow><mml:msub><mml:msup><mml:mi> m </mml:mi><mml:mo> ′ </mml:mo></mml:msup><mml:mi> p </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> : mass of the paraffin-coated sample submerged in water; <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> ρ </mml:mi><mml:mi> w </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> : density of water (1 g/cm<sup>3</sup>); <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> ρ </mml:mi><mml:mi> p </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> : density of the embedding paraffin (0.88 g/cm<sup>3</sup>).</p>
        <p><bold>2)</bold><bold>Measurement of Thermal Properties</bold></p>
        <p>In our study, we used the hot-wire/hot-plate method under transient conditions. The hot-wire method measures thermal conductivity, while the hot-plate method determines effusivity. The goal is to generate a slight local temperature increase in the material, which is assumed to be in thermal equilibrium, and to measure this temperature increase over a very short period of time (<xref ref-type="fig" rid="fig4">Figure 4</xref>).</p>
        <fig id="fig4">
          <label>Figure 4</label>
          <graphic xlink:href="https://html.scirp.org/file/1882200-rId36.jpeg?20260811015840" />
        </fig>
        <p><bold>Figure 4.</bold> Illustration of the hot-wire/hot-plate technique.</p>
        <p>The measurement system used in this study was developed by the French Scientific and Technical Center for Building (CSTB) in accordance with the standards [<xref ref-type="bibr" rid="B30">30</xref>] and the RILEM AAC 11 - 13 recommendation. The equipment consists of thermal shock probes (a hot-wire probe to evaluate thermal conductivity and a hot-plate probe to measure effusivity) to be positioned between the two samples of the material to be characterized (<xref ref-type="fig" rid="fig5">Figure 5(a)</xref> and <xref ref-type="fig" rid="fig5">Figure 5(b)</xref>), an electronic data acquisition system, and graphical user interface software to control the experiments and analyze the results (<xref ref-type="fig" rid="fig5">Figure 5(c)</xref>). The shock probe is based on the principle of locally generating a slight increase in the material’s temperature (a few degrees above ambient temperature) and measuring this rise in temperature over time (over a period of a few minutes). The probe allows for measurements ranging from 20˚C to 100˚C. The temperature difference between the two sides of the sample is established using thermocouples of specific dimensions. The heat flux is measured by thermopiles in accordance with the standards [<xref ref-type="bibr" rid="B30">30</xref>]. Thermal conductivity is determined through mathematical signal processing integrated into the provided software. This technique offers numerous advantages, particularly its ease of implementation and the speed of the measurements. Indeed, since it is a transient method, the measurement time is consequently very short [<xref ref-type="bibr" rid="B31">31</xref>]. </p>
        <fig id="fig5">
          <label>Figure 5</label>
          <graphic xlink:href="https://html.scirp.org/file/1882200-rId37.jpeg?20260811015840" />
        </fig>
        <p><bold>Figure 5.</bold> Experimental setup for the hot-wire/hot-plate method used to measure thermal properties: (a) hot-wire probe for thermal conductivity; (b) hot-plate probe for effusivity; (c) electronic data acquisition system.</p>
        <p>Furthermore, it can be used not only for solids but also for liquids and other materials [<xref ref-type="bibr" rid="B32">32</xref>].</p>
        <p><bold>Thermal Conductivity</bold></p>
        <p>Thermal conductivity refers to a material’s ability to transfer heat by conduction when subjected to a temperature difference [<xref ref-type="bibr" rid="B33">33</xref>]. The method involves generating a slight local increase in temperature within the material (which is then considered to be at thermal equilibrium) and observing the rise in temperature over a very short period of time [<xref ref-type="bibr" rid="B34">34</xref>].</p>
        <p>The following equation establishes a relationship between thermal conductivity and the change in temperature over time:</p>
        <disp-formula id="FD2">
          <label>(2)</label>
          <mml:math display="inline">
            <mml:mrow>
              <mml:mi>Δ</mml:mi>
              <mml:mi>T</mml:mi>
              <mml:mo>=</mml:mo>
              <mml:mfrac>
                <mml:mi>q</mml:mi>
                <mml:mrow>
                  <mml:mn>4</mml:mn>
                  <mml:mi>π</mml:mi>
                  <mml:mi>λ</mml:mi>
                </mml:mrow>
              </mml:mfrac>
              <mml:mo>∗</mml:mo>
              <mml:mrow>
                <mml:mo>(</mml:mo>
                <mml:mrow>
                  <mml:mi>ln</mml:mi>
                  <mml:mrow>
                    <mml:mo>(</mml:mo>
                    <mml:mi>t</mml:mi>
                    <mml:mo>)</mml:mo>
                  </mml:mrow>
                  <mml:mo>+</mml:mo>
                  <mml:mi>c</mml:mi>
                </mml:mrow>
                <mml:mo>)</mml:mo>
              </mml:mrow>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>where: <italic>λ</italic>: Thermal conductivity in W·m<sup>−</sup><sup>1</sup>·K<sup>−</sup><sup>1</sup>; <italic>q</italic>: the applied heat flux in W/m; Δ<italic>T</italic>: the temperature difference in K; <italic>t</italic>: the test duration in s and <italic>c</italic>: constant.</p>
        <p><bold>Thermal</bold><bold>Effusivity</bold></p>
        <p>Thermal effusivity represents the rate at which a material’s surface temperature changes (the sensation of cold or heat when touched). It describes how quickly a material absorbs heat. A lower effusivity coefficient results in faster heating of the material’s surface [<xref ref-type="bibr" rid="B33">33</xref>].</p>
        <p>The equation below relates effusivity to temperature and time:</p>
        <disp-formula id="FD3">
          <label>(3)</label>
          <mml:math>
            <mml:mrow>
              <mml:mi>Δ</mml:mi>
              <mml:mi>T</mml:mi>
              <mml:mo>=</mml:mo>
              <mml:mi>q</mml:mi>
              <mml:mrow>
                <mml:mo>(</mml:mo>
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>R</mml:mi>
                    <mml:mi>t</mml:mi>
                  </mml:msub>
                  <mml:mo>−</mml:mo>
                  <mml:mfrac>
                    <mml:mrow>
                      <mml:mi>C</mml:mi>
                      <mml:mi>s</mml:mi>
                    </mml:mrow>
                    <mml:mrow>
                      <mml:mi>E</mml:mi>
                      <mml:mi>f</mml:mi>
                      <mml:msup>
                        <mml:mi>f</mml:mi>
                        <mml:mn>2</mml:mn>
                      </mml:msup>
                    </mml:mrow>
                  </mml:mfrac>
                  <mml:mo>+</mml:mo>
                  <mml:mn>2</mml:mn>
                  <mml:mfrac>
                    <mml:mrow>
                      <mml:msqrt>
                        <mml:mi>t</mml:mi>
                      </mml:msqrt>
                    </mml:mrow>
                    <mml:mrow>
                      <mml:mi>E</mml:mi>
                      <mml:mi>f</mml:mi>
                      <mml:mi>f</mml:mi>
                      <mml:msqrt>
                        <mml:mi>π</mml:mi>
                      </mml:msqrt>
                    </mml:mrow>
                  </mml:mfrac>
                </mml:mrow>
                <mml:mo>)</mml:mo>
              </mml:mrow>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>where <italic>Eff</italic>: thermal effusivity in w/m<sup>2</sup>∙K∙S<sup>1/2</sup>; <italic>T</italic>: temperature in K; <italic>q</italic>: injected flux density in W∙m<sup>−</sup><sup>2</sup>; <italic>t</italic>: time in s; <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> R </mml:mi><mml:mi> t </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> : total resistance, <italic>i.e.</italic>, the resistance of the probe and the contact resistance in K∙m<sup>2</sup>∙W<sup>−</sup><sup>1</sup> and <italic>Cs</italic> is an intrinsic characteristic of the probe in w∙K<sup>−</sup><sup>1</sup>∙m<sup>−</sup><sup>2</sup>.</p>
        <p><bold>Thermal</bold><bold>Diffusivity</bold></p>
        <p>Thermal diffusivity characterizes the rate at which heat propagates through the mass of a material. The lower this value, the longer it takes for the heat front to travel through the thickness of the material [<xref ref-type="bibr" rid="B33">33</xref>].</p>
        <p>It is expressed by the following equation:</p>
        <disp-formula id="FD4">
          <label>(4)</label>
          <mml:math>
            <mml:mrow>
              <mml:mi>a</mml:mi>
              <mml:mo>=</mml:mo>
              <mml:mi>D</mml:mi>
              <mml:mo>=</mml:mo>
              <mml:mfrac>
                <mml:mi>λ</mml:mi>
                <mml:mrow>
                  <mml:mi>ρ</mml:mi>
                  <mml:mo>∗</mml:mo>
                  <mml:msub>
                    <mml:mi>C</mml:mi>
                    <mml:mi>p</mml:mi>
                  </mml:msub>
                </mml:mrow>
              </mml:mfrac>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>where <italic>λ</italic> is thermal conductivity in W·m⁻<sup>1</sup>·K⁻<sup>1</sup>; <italic>ρ</italic> is density in kg/m<sup>3</sup>; <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> C </mml:mi><mml:mi> p </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is specific heat in J/kg·K.</p>
        <p><bold>Specific</bold><bold>Heat</bold></p>
        <p>Specific heat measures the amount of energy required to raise the temperature of 1 kg of a material by 1 K.</p>
        <p>It is determined by the formula:</p>
        <disp-formula id="FD5">
          <label>(5)</label>
          <mml:math>
            <mml:mrow>
              <mml:msub>
                <mml:mi>C</mml:mi>
                <mml:mi>p</mml:mi>
              </mml:msub>
              <mml:mo>=</mml:mo>
              <mml:mfrac>
                <mml:mi>Q</mml:mi>
                <mml:mrow>
                  <mml:mi>m</mml:mi>
                  <mml:mi>Δ</mml:mi>
                  <mml:mi>T</mml:mi>
                </mml:mrow>
              </mml:mfrac>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>where <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> C </mml:mi><mml:mi> p </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the specific heat (J/kg·K); <italic>Q</italic> is the amount of heat absorbed; <italic>m</italic> is the mass of the sample; and Δ<italic>T</italic> is the change in temperature.</p>
        <p><bold>Thermal Resistance</bold></p>
        <p>The thermal resistance (<inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> R </mml:mi><mml:mrow><mml:mi> t </mml:mi><mml:mi> h </mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ) of a wall depends on the thermal conductivity (<italic>λ</italic>) of the materials used and the thickness (<italic>e</italic>) of the layers of each material.</p>
        <p>It is calculated as follows:</p>
        <disp-formula id="FD6">
          <label>(6)</label>
          <mml:math>
            <mml:mrow>
              <mml:msub>
                <mml:mi>R</mml:mi>
                <mml:mrow>
                  <mml:mi>t</mml:mi>
                  <mml:mi>h</mml:mi>
                </mml:mrow>
              </mml:msub>
              <mml:mo>=</mml:mo>
              <mml:mfrac>
                <mml:mi>e</mml:mi>
                <mml:mi>λ</mml:mi>
              </mml:mfrac>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>with <italic>e</italic> = 20 cm, the standard wall thickness. In fact, the thermal conductivity <italic>λ</italic> was measured on test specimens measuring 8 × 5 × 4 cm. Therefore, the 4-cm-thick test specimen is used solely to measure <italic>λ</italic>, which is an intrinsic property of the material. Thermal resistance <italic>R</italic> was then calculated for a standard wall thickness of 20 cm, in accordance with standard practice in civil engineering, to reflect the actual performance of the bricks in use, since this value allows for a comparison of the insulating performance of the different formulations under real construction conditions.</p>
        <p>2.2.2. Dry Compressive Strength Test</p>
        <p>After drying, a batch of test specimens is subjected to a simple compression test to determine their compressive strength in the dry state. The compressive strength of cement-stabilized blocks is measured either on a masonry unit (block and joint), on a half-block, or on a whole block [<xref ref-type="bibr" rid="B20">20</xref>]. In this study, compressive strength was measured according to the method developed by [<xref ref-type="bibr" rid="B35">35</xref>] on a whole block. The procedure involves placing a block on a compression press and loading it until failure in accordance with the standard [<xref ref-type="bibr" rid="B36">36</xref>] (<xref ref-type="fig" rid="fig6">Figure 6</xref>). The maximum load reached is recorded, and the compressive strength is determined using Equation 7.</p>
        <disp-formula id="FD7">
          <label>(7)</label>
          <mml:math>
            <mml:mrow>
              <mml:msub>
                <mml:mi>R</mml:mi>
                <mml:mi>c</mml:mi>
              </mml:msub>
              <mml:mo>=</mml:mo>
              <mml:mfrac>
                <mml:mi>F</mml:mi>
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>A</mml:mi>
                    <mml:mi>c</mml:mi>
                  </mml:msub>
                </mml:mrow>
              </mml:mfrac>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p><inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> R </mml:mi><mml:mi> c </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> : Compressive strength (MPa); <inline-formula><mml:math display="inline"><mml:mi> F </mml:mi></mml:math></inline-formula> : compressive failure force (N); and <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> A </mml:mi><mml:mi> c </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> : area over which the force is applied (mm<sup>2</sup>).</p>
        <fig id="fig6">
          <label>Figure 6</label>
          <graphic xlink:href="https://html.scirp.org/file/1882200-rId64.jpeg?20260811015841" />
        </fig>
        <p><bold>Figure 6</bold><bold>.</bold> Compression test setup.</p>
      </sec>
    </sec>
    <sec id="sec3">
      <title>3. Results</title>
      <sec id="sec3dot1">
        <title>3.1. Thermophysical Properties</title>
        <p>The thermophysical results for 12 samples of cement-stabilized earth bricks are presented in <bold>Table 5</bold> and <bold>Table 6</bold>.</p>
        <p><bold>Table 5.</bold> Thermophysical parameters of cement-stabilized earth bricks.</p>
        <table-wrap id="tbl5">
          <label>Table 5</label>
          <table>
            <tbody>
              <tr>
                <td>Numb.</td>
                <td>Formulations</td>
                <td>
                  Vol. (cm
                  <sup>3</sup>
                  )
                </td>
                <td>dry weight (g)</td>
                <td>
                  <inline-formula>
                    <mml:math>
                      <mml:mrow>
                        <mml:msub>
                          <mml:mi>ρ</mml:mi>
                          <mml:mi>a</mml:mi>
                        </mml:msub>
                      </mml:mrow>
                    </mml:math>
                  </inline-formula>
                  (kg/m
                  <sup>3</sup>
                  )
                </td>
                <td>
                  <inline-formula>
                    <mml:math>
                      <mml:mrow>
                        <mml:msub>
                          <mml:mi>C</mml:mi>
                          <mml:mi>p</mml:mi>
                        </mml:msub>
                      </mml:mrow>
                    </mml:math>
                  </inline-formula>
                  (J/kg∙K)
                </td>
                <td>
                  <italic>λ</italic>
                  (W/m∙K)
                </td>
                <td>
                  <italic>Eff</italic>
                  (W/m
                  <sup>2</sup>
                  ∙ K∙S
                  <sup>1/2</sup>
                  )
                </td>
                <td>
                  <italic>D</italic>
                  (m
                  <sup>2</sup>
                  /S)
                </td>
                <td>
                  <italic>e</italic>
                  (m)
                </td>
                <td>
                  <italic>S</italic>
                  (m
                  <sup>2</sup>
                  )
                </td>
                <td>
                  <inline-formula>
                    <mml:math>
                      <mml:mrow>
                        <mml:msub>
                          <mml:mi>R</mml:mi>
                          <mml:mrow>
                            <mml:mi>t</mml:mi>
                            <mml:mi>h</mml:mi>
                          </mml:mrow>
                        </mml:msub>
                      </mml:mrow>
                    </mml:math>
                  </inline-formula>
                  (m
                  <sup>2</sup>
                  K/W)
                </td>
              </tr>
              <tr>
                <td>1</td>
                <td>
                  F
                  <sub>1</sub>
                  (4% cement)
                </td>
                <td>160</td>
                <td>283</td>
                <td>1768.75</td>
                <td>1359.152886</td>
                <td>0.6</td>
                <td>1201</td>
                <td>2.49584E−07</td>
                <td>0.2</td>
                <td>0.008</td>
                <td>0.333333333</td>
              </tr>
              <tr>
                <td>2</td>
                <td>
                </td>
                <td>160</td>
                <td>281</td>
                <td>1756.25</td>
                <td>1353.121521</td>
                <td>0.61</td>
                <td>1204</td>
                <td>2.56689E−07</td>
                <td>0.2</td>
                <td>0.008</td>
                <td>0.327868852</td>
              </tr>
              <tr>
                <td>3</td>
                <td>
                </td>
                <td>160</td>
                <td>283</td>
                <td>1768.75</td>
                <td>1313.119799</td>
                <td>0.62</td>
                <td>1200</td>
                <td>2.66944E−07</td>
                <td>0.2</td>
                <td>0.008</td>
                <td>0.322580645</td>
              </tr>
              <tr>
                <td>4</td>
                <td>
                </td>
                <td>160</td>
                <td>279.2</td>
                <td>1745.00</td>
                <td>1405.67141</td>
                <td>0.59</td>
                <td>1203</td>
                <td>2.40532E−07</td>
                <td>0.2</td>
                <td>0.008</td>
                <td>0.338983051</td>
              </tr>
              <tr>
                <td>1</td>
                <td>
                  F
                  <sub>2</sub>
                  (6% cement)
                </td>
                <td>160</td>
                <td>291</td>
                <td>1818.75</td>
                <td>1371.0314</td>
                <td>0.655</td>
                <td>1278</td>
                <td>2.62676E−07</td>
                <td>0.2</td>
                <td>0.008</td>
                <td>0.305343511</td>
              </tr>
              <tr>
                <td>2</td>
                <td>
                </td>
                <td>160</td>
                <td>293</td>
                <td>1831.25</td>
                <td>1329.007994</td>
                <td>0.669</td>
                <td>1276</td>
                <td>2.74885E−07</td>
                <td>0.2</td>
                <td>0.008</td>
                <td>0.298953662</td>
              </tr>
              <tr>
                <td>3</td>
                <td>
                </td>
                <td>160</td>
                <td>294</td>
                <td>1837.50</td>
                <td>1301.020408</td>
                <td>0.68</td>
                <td>1275</td>
                <td>2.84444E−07</td>
                <td>0.2</td>
                <td>0.008</td>
                <td>0.294117647</td>
              </tr>
              <tr>
                <td>4</td>
                <td>
                </td>
                <td>160</td>
                <td>289</td>
                <td>1806.25</td>
                <td>1437.549075</td>
                <td>0.63</td>
                <td>1279</td>
                <td>2.42627E−07</td>
                <td>0.2</td>
                <td>0.008</td>
                <td>0.317460317</td>
              </tr>
              <tr>
                <td>1</td>
                <td>
                  F
                  <sub>3</sub>
                  (8% cement)
                </td>
                <td>160</td>
                <td>299</td>
                <td>1868.75</td>
                <td>1365.65673</td>
                <td>0.69</td>
                <td>1327</td>
                <td>2.70369E−07</td>
                <td>0.2</td>
                <td>0.008</td>
                <td>0.289855072</td>
              </tr>
              <tr>
                <td>2</td>
                <td>
                </td>
                <td>160</td>
                <td>300.4</td>
                <td>1877.50</td>
                <td>1379.281742</td>
                <td>0.68</td>
                <td>1327</td>
                <td>2.62589E−07</td>
                <td>0.2</td>
                <td>0.008</td>
                <td>0.294117647</td>
              </tr>
              <tr>
                <td>3</td>
                <td>
                </td>
                <td>160</td>
                <td>297</td>
                <td>1856.25</td>
                <td>1357.255604</td>
                <td>0.7</td>
                <td>1328</td>
                <td>2.77843E−07</td>
                <td>0.2</td>
                <td>0.008</td>
                <td>0.285714286</td>
              </tr>
              <tr>
                <td>4</td>
                <td>
                </td>
                <td>160</td>
                <td>296</td>
                <td>1850.00</td>
                <td>1368.000772</td>
                <td>0.7</td>
                <td>1331</td>
                <td>2.76592E−07</td>
                <td>0.2</td>
                <td>0.008</td>
                <td>0.285714286</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>The average thermal parameters are summarized in the following table:</p>
        <p><bold>Table 6.</bold> Average values of the thermophysical properties of cement-stabilized earth bricks.</p>
        <table-wrap id="tbl6">
          <label>Table 6</label>
          <table>
            <tbody>
              <tr>
                <td>Thermal properties</td>
                <td>
                  F
                  <sub>1</sub>
                  (4% cement)
                </td>
                <td>
                  F
                  <sub>2</sub>
                  (6% cement)
                </td>
                <td>
                  F
                  <sub>3</sub>
                  (8% cement)
                </td>
                <td>Variation (F4→F8)</td>
              </tr>
              <tr>
                <td>
                  bulk densities
                  <inline-formula>
                    <mml:math>
                      <mml:mrow>
                        <mml:msub>
                          <mml:mi>ρ</mml:mi>
                          <mml:mi>a</mml:mi>
                        </mml:msub>
                      </mml:mrow>
                    </mml:math>
                  </inline-formula>
                  (kg/m
                  <sup>3</sup>
                  )
                </td>
                <td>1759</td>
                <td>1823</td>
                <td>1863</td>
                <td>+5.9%</td>
              </tr>
              <tr>
                <td>
                  Thermal conductivity
                  <italic>λ</italic>
                  (W/m·K)
                </td>
                <td>0.601</td>
                <td>0.651</td>
                <td>0.690</td>
                <td>+14.8%</td>
              </tr>
              <tr>
                <td>
                  Thermal effusivity
                  <italic>Eff</italic>
                  (W/m
                  <sup>2</sup>
                  ·K·S
                  <sup>1/2</sup>
                  )
                </td>
                <td>1202</td>
                <td>1277</td>
                <td>1328.25</td>
                <td>+10.5%</td>
              </tr>
              <tr>
                <td>
                  Thermal diffusivity
                  <italic>D</italic>
                  (m
                  <sup>2</sup>
                  /s)
                </td>
                <td>2.53E−7</td>
                <td>2.66E−7</td>
                <td>2.71E−7</td>
                <td>+7.1%</td>
              </tr>
              <tr>
                <td>
                  Specific heat
                  <inline-formula>
                    <mml:math>
                      <mml:mrow>
                        <mml:msub>
                          <mml:mi>C</mml:mi>
                          <mml:mi>p</mml:mi>
                        </mml:msub>
                      </mml:mrow>
                    </mml:math>
                  </inline-formula>
                  (J/kg·K)
                </td>
                <td>1357.76</td>
                <td>1359.65</td>
                <td>1367.54</td>
                <td>+0.7%</td>
              </tr>
              <tr>
                <td>
                  Thermal resistance
                  <inline-formula>
                    <mml:math>
                      <mml:mrow>
                        <mml:msub>
                          <mml:mi>R</mml:mi>
                          <mml:mrow>
                            <mml:mi>t</mml:mi>
                            <mml:mi>h</mml:mi>
                          </mml:mrow>
                        </mml:msub>
                      </mml:mrow>
                    </mml:math>
                  </inline-formula>
                  (m
                  <sup>2</sup>
                  ·K/W)
                </td>
                <td>0.33</td>
                <td>0.30</td>
                <td>0.28</td>
                <td>−15.2%</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
      </sec>
      <sec id="sec3dot2">
        <title>3.2. Mechanical Properties (Dry Compressive Strength)</title>
        <p><bold>Table 7</bold> and <bold>Table 8</bold> show the dry compressive strengths <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> R </mml:mi><mml:mi> c </mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (in MPa) as a function of different mixtures (in % cement) and curing time (days).</p>
        <p><bold>Table 7.</bold> Values of the dry compressive strengths of cement-stabilized earth bricks.</p>
        <table-wrap id="tbl7">
          <label>Table 7</label>
          <table>
            <tbody>
              <tr>
                <td>Formulations</td>
                <td>Ages</td>
                <td>Block n˚</td>
                <td>
                  Compressive failure force
                  <italic>F</italic>
                  (N)
                </td>
                <td>
                  Area (mm
                  <sup>2</sup>
                  )
                </td>
                <td>
                  Compressive strength
                  <inline-formula>
                    <mml:math>
                      <mml:mrow>
                        <mml:msub>
                          <mml:mi>R</mml:mi>
                          <mml:mi>c</mml:mi>
                        </mml:msub>
                      </mml:mrow>
                    </mml:math>
                  </inline-formula>
                  (Mpa)
                </td>
                <td>Average</td>
              </tr>
              <tr>
                <td rowspan="6">
                  F
                  <sub>1</sub>
                  (4% cement)
                </td>
                <td rowspan="2">3 days</td>
                <td>1</td>
                <td>80,000</td>
                <td>42,774</td>
                <td>1.87</td>
                <td rowspan="2">1.78</td>
              </tr>
              <tr>
                <td>2</td>
                <td>72,000</td>
                <td>42,774</td>
                <td>1.68</td>
              </tr>
              <tr>
                <td rowspan="2">7 days</td>
                <td>1</td>
                <td>100,000</td>
                <td>42,774</td>
                <td>2.34</td>
                <td rowspan="2">2.48</td>
              </tr>
              <tr>
                <td>2</td>
                <td>112,000</td>
                <td>42,774</td>
                <td>2.62</td>
              </tr>
              <tr>
                <td rowspan="2">28 days</td>
                <td>1</td>
                <td>120,000</td>
                <td>42,774</td>
                <td>2.81</td>
                <td rowspan="2">3.51</td>
              </tr>
              <tr>
                <td>2</td>
                <td>180,000</td>
                <td>42,774</td>
                <td>4.21</td>
              </tr>
              <tr>
                <td rowspan="6">
                  F
                  <sub>2</sub>
                  (6% cement)
                </td>
                <td rowspan="2">3 days</td>
                <td>1</td>
                <td>100,000</td>
                <td>42,774</td>
                <td>2.34</td>
                <td>2.34</td>
              </tr>
              <tr>
                <td>2</td>
                <td>100,000</td>
                <td>42,774</td>
                <td>2.34</td>
                <td>
                </td>
              </tr>
              <tr>
                <td rowspan="2">7 days</td>
                <td>1</td>
                <td>120,000</td>
                <td>42,774</td>
                <td>2.81</td>
                <td>2.82</td>
              </tr>
              <tr>
                <td>2</td>
                <td>121,000</td>
                <td>42,774</td>
                <td>2.83</td>
                <td>
                </td>
              </tr>
              <tr>
                <td rowspan="2">28 days</td>
                <td>1</td>
                <td>160,000</td>
                <td>42,774</td>
                <td>3.74</td>
                <td>4.44</td>
              </tr>
              <tr>
                <td>2</td>
                <td>220,000</td>
                <td>42,774</td>
                <td>5.14</td>
                <td>
                </td>
              </tr>
              <tr>
                <td rowspan="6">
                  F
                  <sub>3</sub>
                  (8% cement)
                </td>
                <td rowspan="2">3 days</td>
                <td>1</td>
                <td>128,000</td>
                <td>42,774</td>
                <td>2.99</td>
                <td rowspan="2">3.03</td>
              </tr>
              <tr>
                <td>2</td>
                <td>132,000</td>
                <td>42,774</td>
                <td>3.09</td>
              </tr>
              <tr>
                <td rowspan="2">7 days</td>
                <td>1</td>
                <td>135,000</td>
                <td>42,774</td>
                <td>3.16</td>
                <td rowspan="2">3.21</td>
              </tr>
              <tr>
                <td>2</td>
                <td>140,000</td>
                <td>42,774</td>
                <td>3.27</td>
              </tr>
              <tr>
                <td rowspan="2">28 days</td>
                <td>1</td>
                <td>240,000</td>
                <td>42,774</td>
                <td>5.61</td>
                <td rowspan="2">6.08</td>
              </tr>
              <tr>
                <td>2</td>
                <td>280,000</td>
                <td>42,774</td>
                <td>6.55</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p><bold>Table 8.</bold> Average values of the dry compressive strengths of cement-stabilized earth bricks.</p>
        <table-wrap id="tbl8">
          <label>Table 8</label>
          <table>
            <tbody>
              <tr>
                <td rowspan="2">Curing time (age)</td>
                <td colspan="3">Formulations</td>
              </tr>
              <tr>
                <td>
                  F
                  <sub>1</sub>
                  (4% cement)
                </td>
                <td>
                  F
                  <sub>2</sub>
                  (6% cement)
                </td>
                <td>
                  F
                  <sub>3</sub>
                  (8% cement)
                </td>
              </tr>
              <tr>
                <td>3 days</td>
                <td>1.78</td>
                <td>2.48</td>
                <td>3.51</td>
              </tr>
              <tr>
                <td>7 days</td>
                <td>2.34</td>
                <td>2.82</td>
                <td>4.44</td>
              </tr>
              <tr>
                <td>28 days</td>
                <td>3.03</td>
                <td>3.21</td>
                <td>6.08</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
      </sec>
    </sec>
    <sec id="sec4">
      <title>4. Discussion</title>
      <sec id="sec4dot1">
        <title>4.1. Effect of Cement on Thermophysical Properties</title>
        <p>The bulk density increases with the cement content, rising from 1859 to 1863 kg/m<sup>3</sup>, representing a 5.9% increase when the cement content ranges from 4% to 8%. In fact, when cement comes into contact with water, it undergoes a hydration reaction that produces calcium silicate hydrates (C-S-H) and portlandite. These hydration products have two effects:</p>
        <p>- They fill the interstitial voids between the clay, sand, and laterite particles.</p>
        <p>- They coat the particles, creating a denser matrix.</p>
        <p>It is this pore-filling mechanism that explains the increase in density: Indeed, bulk density and porosity are inversely related:</p>
        <p>bulk <italic>ρ</italic> = solid <italic>ρ</italic> × (1 − porosity)</p>
        <p>When cement hydrates and fills the pores, porosity decreases, which mechanically leads to an increase in bulk density.</p>
        <p>The bulk density results obtained in this study (1759 - 1863 kg/m<sup>3</sup>) are largely consistent with those reported in the literature for stabilized soil blocks, which generally range between 1700 and 2100 kg/m<sup>3</sup> [<xref ref-type="bibr" rid="B6">6</xref>][<xref ref-type="bibr" rid="B7">7</xref>][<xref ref-type="bibr" rid="B10">10</xref>].</p>
        <p>Thermal conductivity (<italic>λ</italic>) increases significantly with the cement content, rising from 0.601 to 0.690 W/m·K, which corresponds to a 14.8% increase between 4% and 8% cement.</p>
        <p>This result is fully consistent with the scientific literature. Several studies demonstrate that increasing the percentage of cement in stabilized earth bricks leads to an increase in thermal conductivity [<xref ref-type="bibr" rid="B11">11</xref>]-[<xref ref-type="bibr" rid="B15">15</xref>]. This trend can be explained by two main mechanisms:</p>
        <p>1) Densification of the matrix: cement hydration products (hydrated calcium silicates, C-S-H) fill the interstitial voids, reducing porosity and thus the air content (an excellent insulator, <italic>λ</italic> ≈ 0.026 W/m∙K) in favor of a more conductive solid phase [<xref ref-type="bibr" rid="B11">11</xref>]-[<xref ref-type="bibr" rid="B13">13</xref>].</p>
        <p>2) Replacement of laterite: Laterite has lower thermal conductivity than cement hydrates [<xref ref-type="bibr" rid="B16">16</xref>], and its proportion decreases from 16% to 12% in formulations F4 through F8.</p>
        <p>Thermal effusivity (<italic>Eff</italic>) increases with the cement content, rising from 1202 to 1328.5 w/m<sup>2</sup>·K·S<sup>1</sup>/<sup>2</sup> (+10.5%). Effusivity characterizes a material’s ability to exchange heat with its environment under transient conditions. High effusivity indicates greater thermal inertia: the material absorbs more heat during the day and releases it at night.</p>
        <p>Furthermore, research on cement-stabilized, compressed earth bricks reports a similar trend, with an increase in effusivity from 800 to 1500 w/m<sup>2</sup>·K·S<sup>1/2</sup> [<xref ref-type="bibr" rid="B17">17</xref>]; [<xref ref-type="bibr" rid="B18">18</xref>].</p>
        <p>Thermal diffusivity (<italic>D</italic>), which characterizes the rate at which a heat front propagates, increases slightly from 2.53 to 2.71 × 10<sup>−7</sup> m<sup>2</sup>/s (+7.1%). This increase is consistent with the rise in thermal conductivity, which outweighs the slight change in specific heat.</p>
        <p>Furthermore, our results are consistent with the values for compressed and stabilized earth bricks, particularly those reported in the studies by [<xref ref-type="bibr" rid="B17">17</xref>] and [<xref ref-type="bibr" rid="B6">6</xref>], which range from 1.5 to 3 × 10<sup>−7</sup> m<sup>2</sup>/s.</p>
        <p>The specific heat remains virtually constant (1357.76 to 1367.54 J/kg·K) (+0.7%). This increase remains small due to the small variation in cement content (4% to 8%) and the high proportion of clay fraction (60%) in the formulations. A material with high specific heat capacity is equivalent to a material with good thermal inertia capable of improving thermal comfort in buildings. The following parameters influence the increase in specific heat capacity:</p>
        <p>a- Densification</p>
        <p>An increase in the cement content contributes to the densification of the matrix and to an increase in thermal storage capacity.</p>
        <p>b- Mineralogy</p>
        <p>Cement hydration products possess significant heat capacity, contributing to a slight increase in specific heat. However, this increase remains moderate due to the relatively low variation in cement content (4% to 8%) and the largely constant clay content (60%).</p>
        <p>c- The clay fraction</p>
        <p>Clay materials naturally possess high thermal inertia and good heat storage capacity, which limits the increase in specific heat.</p>
        <p>Our results are consistent with the findings of [<xref ref-type="bibr" rid="B10">10</xref>][<xref ref-type="bibr" rid="B17">17</xref>], who obtained specific heat values ranging from 800 to 1,500 J/kg·K.</p>
        <p>The thermal resistance (<inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> R </mml:mi><mml:mrow><mml:mi> t </mml:mi><mml:mi> h </mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ) decreases from 0.33 to 0.28 m<sup>2</sup>∙K/W (−15.2%), due to the increase in thermal conductivity <italic>λ</italic> (<inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> R </mml:mi><mml:mrow><mml:mi> t </mml:mi><mml:mi> h </mml:mi></mml:mrow></mml:msub><mml:mo> = </mml:mo><mml:mrow><mml:mi> e </mml:mi><mml:mo> / </mml:mo><mml:mi> λ </mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ). A lower thermal resistance indicates poorer insulating performance of the brick.</p>
        <p>It should be noted that the thermal resistance <inline-formula><mml:math><mml:mrow><mml:msub><mml:mi> R </mml:mi><mml:mrow><mml:mi> t </mml:mi><mml:mi> h </mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> was calculated for a standard wall thickness of 20 cm, in order to reflect the actual performance of the bricks in a real-world application. This value allows for a comparison of the insulating performance of the different formulations under real construction conditions. Meanwhile, the thermal conductivity <italic>λ</italic> was measured on an 8 × 5 × 4 cm<sup>3</sup> test specimen—that is, for a thickness of 4 cm—since <italic>λ</italic> is an intrinsic property of the material.</p>
        <p>Furthermore, our results are consistent with those of [<xref ref-type="bibr" rid="B17">17</xref>] and [<xref ref-type="bibr" rid="B10">10</xref>], which show that cement stabilization of compressed earth bricks improves their mechanical properties but reduces their thermal insulation performance.</p>
      </sec>
      <sec id="sec4dot2">
        <title>4.2. Effect of Cement on Dry Compressive Strength</title>
        <p>The results in <bold>Table 7</bold> and <bold>Table 8</bold> show a gradual increase in dry compressive strength as a function of cement content and curing time. This increase in strength between 3 and 28 days is primarily due to the ongoing cement hydration reactions, which lead to the formation of a cementitious matrix (C-S-H) responsible for the densification of the material. Two effects are observed in these results. First, the compressive strength <italic><bold>R</bold></italic><italic><bold><sub>c</sub></bold></italic> increases with the cement content (<italic><bold>R</bold></italic><italic><bold><sub>c</sub></bold></italic> 8% &gt; <italic><bold>R</bold></italic><italic><bold><sub>c</sub></bold></italic> 6% &gt; <italic><bold>R</bold></italic><italic><bold><sub>c</sub></bold></italic> 4%). Second, the compressive strength <italic><bold>R</bold></italic><italic><bold><sub>c</sub></bold></italic> increases with curing time (<italic><bold>R</bold></italic><italic><bold><sub>c</sub></bold></italic> 28 days &gt; <italic><bold>R</bold></italic><italic><bold><sub>c</sub></bold></italic> 7 days &gt; <italic><bold>R</bold></italic><italic><bold><sub>c</sub></bold></italic> 3 days).</p>
        <p><underline><bold>Analysis of the trend (resistance gain)</bold></underline></p>
        <p><bold>Gain from 3 to 28 days (</bold><italic><bold>R</bold></italic><italic><bold><sub>c</sub></bold></italic><bold>4%</bold><bold>→</bold><italic><bold>R</bold></italic><italic><bold><sub>c</sub></bold></italic><bold>8%)</bold></p>
        <p>4% cement:</p>
        <p>1.78 → 3.51 MPa (+97%)</p>
        <p>6% cement:</p>
        <p>2.34 → 4.44 MPa (+89.74%)</p>
        <p>8% cement:</p>
        <p>3.03 → 6.08 MPa (+100%)</p>
        <p>The material’s strength nearly doubles between 3 and 28 days</p>
        <p><underline><bold>Overview of Selected Standards and Studies on the Classification of Stabilized Clay Bricks</bold></underline></p>
        <p>In the field of stabilized clay bricks, several reference standards are used to classify these bricks based on whether they meet minimum construction requirements and whether they can be used for load-bearing walls (<bold>Table 9-11</bold>). The following tables summarize these classifications.</p>
        <p><bold>Table 9.</bold> Classification according to the CraTerre recommendation [<xref ref-type="bibr" rid="B37">37</xref>].</p>
        <table-wrap id="tbl9">
          <label>Table 9</label>
          <table>
            <tbody>
              <tr>
                <td>Use</td>
                <td>Minimum strength</td>
              </tr>
              <tr>
                <td>Non-load-bearing wall</td>
                <td>2 MPa</td>
              </tr>
              <tr>
                <td>Load-bearing wall</td>
                <td>4 To 5 MPa</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p><bold>Table 10.</bold>Classification based on selected African studies ([<xref ref-type="bibr" rid="B37">37</xref>]-[<xref ref-type="bibr" rid="B40">40</xref>]).</p>
        <table-wrap id="tbl10">
          <label>Table 10</label>
          <table>
            <tbody>
              <tr>
                <td>Types of concrete</td>
                <td>Minimum strengths</td>
              </tr>
              <tr>
                <td>Simple stabilized concrete</td>
                <td>2 MPa</td>
              </tr>
              <tr>
                <td>Load-bearing concrete</td>
                <td>≥4 MPa</td>
              </tr>
              <tr>
                <td>High-performance concrete</td>
                <td>≥5 MPa</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p><bold>Table 11.</bold>Classification according to the ASTM standard [<xref ref-type="bibr" rid="B37">37</xref>].</p>
        <table-wrap id="tbl11">
          <label>Table 11</label>
          <table>
            <tbody>
              <tr>
                <td>Classification</td>
                <td>Strengths</td>
              </tr>
              <tr>
                <td>Low strength</td>
                <td>&lt;2 MPa</td>
              </tr>
              <tr>
                <td>Medium strength</td>
                <td>2 - 4 MPa</td>
              </tr>
              <tr>
                <td>High strength</td>
                <td>&gt;4 MPa</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p><underline><bold>Changes in the Standards for our cement-stabilized earth bricks</bold></underline></p>
        <p><bold>a.</bold><bold>Changes Based on Treatment Duration</bold></p>
        <p><bold>At 3 days</bold></p>
        <table-wrap id="tbl12">
          <label>Table 12</label>
          <table>
            <tbody>
              <tr>
                <td>Formulations</td>
                <td>Interpretation</td>
              </tr>
              <tr>
                <td>
                  F
                  <sub>1</sub>
                  (4% cement)
                </td>
                <td>Insufficient for structural use</td>
              </tr>
              <tr>
                <td>
                  F
                  <sub>2</sub>
                  (6% cement)
                </td>
                <td>Acceptable for light loads</td>
              </tr>
              <tr>
                <td>
                  F
                  <sub>3</sub>
                  (8% cement)
                </td>
                <td>Close to code requirements</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>The cement hydration is still incomplete; therefore, the strengths remain low.</p>
        <p><bold>At 7 days</bold></p>
        <p>Formulation B (4% cement) has already reached the minimum threshold for several stabilized earth bricks;</p>
        <p><bold>At 28 days</bold></p>
        <p>All formulations meet the requirements of the standards cited above.</p>
        <p><bold>b</bold><bold>.</bold><bold>Changes Based on Mechanical Strength</bold></p>
        <table-wrap id="tbl13">
          <label>Table 13</label>
          <table>
            <tbody>
              <tr>
                <td>Formulations</td>
                <td>28-Day strength</td>
                <td>Standard classification</td>
                <td>Recommended uses</td>
              </tr>
              <tr>
                <td>
                  F
                  <sub>1</sub>
                  (4% cement)
                </td>
                <td>3.51</td>
                <td>Stabilized earth bricks (medium strength)</td>
                <td>Non-load-bearing walls</td>
              </tr>
              <tr>
                <td>
                  F
                  <sub>2</sub>
                  (6% cement)
                </td>
                <td>4.44</td>
                <td>Load-bearing compressed earth brick</td>
                <td>Low-rise houses</td>
              </tr>
              <tr>
                <td>
                  F
                  <sub>3</sub>
                  (8% cement)
                </td>
                <td>6.08</td>
                <td>high performance compressed earth brick</td>
                <td>Load-bearing walls</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>All formulations exceed the minimum compressive strength of 2 MPa generally recommended by several standards for stabilized clay bricks;The 6% and 8% formulations meet the requirements for bricks used in load-bearing walls;The 8% formulation provides very high compressive strength and can be used in sustainable construction.</p>
      </sec>
      <sec id="sec4dot3">
        <title>4.3. Correlation of Thermophysical and Mechanical Properties</title>
        <table-wrap id="tbl14">
          <label>Table 14</label>
          <table>
            <tbody>
              <tr>
                <td>Cement</td>
                <td>Mechanical effect</td>
                <td>Thermal effect</td>
              </tr>
              <tr>
                <td>Strength ↑</td>
                <td>improvement</td>
                <td>
                </td>
              </tr>
              <tr>
                <td>Density ↑</td>
                <td>improvement</td>
                <td>Conductivity ↑</td>
              </tr>
              <tr>
                <td>Isulation ↓</td>
                <td>
                </td>
                <td>Thermal resistance ↓</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>Improving mechanical strength comes at the expense of thermal insulation.</p>
      </sec>
    </sec>
    <sec id="sec5">
      <title>5. Conclusion</title>
      <p>The experimental study on the influence of cement content on the thermophysical and mechanical properties of compressed earth bricks made from maolonitic and lateritic soils shows that the cement content has a significant influence on the thermophysical and mechanical performance of the bricks. Indeed, the incorporation of cement into compressed earth bricks increases compressive strength while simultaneously increasing thermal conductivity and reducing insulating properties. However, all the brick formulations tested exceed the minimum threshold of 2 MPa, which is generally recommended by several standards for stabilized earth bricks. The 6% and 8% stabilized formulations meet the requirements for bricks used in load-bearing walls. The 8% formulation provides very high compressive strength and can be used insustainable construction.</p>
    </sec>
  </body>
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