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   <front>
      <journal-meta>
         <journal-id journal-id-type="publisher-id">MC</journal-id>
         <journal-title-group>
            <journal-title specific-use="original">Materiales de Construcci&#x00F3;n</journal-title>
            <abbrev-journal-title abbrev-type="publisher">Mater. constr.</abbrev-journal-title>
         </journal-title-group>
         <issn publication-format="electronic">1988-3226</issn>
         <issn-l>0465-2746</issn-l>
         <publisher>
            <publisher-name>Consejo Superior de Investigaciones Cient&#x00ED;ficas</publisher-name>
            <publisher-loc>
               <country>Espa&#x00F1;a</country>
            </publisher-loc>
         </publisher>
      </journal-meta>
      <article-meta>
         <article-id pub-id-type="doi">10.3989/mc.2024.368923</article-id>
		 <article-id pub-id-type="publisher-id">mc.2024.368923</article-id>
		 <article-categories>
            <subj-group subj-group-type="heading">
               <subject>Research Articles</subject>
            </subj-group>
         </article-categories>
         <title-group>
            <article-title>Experimental study on mechanical and durability properties of concrete incorporating various polyvinyl alcohol fiber lengths and dosages</article-title>
            <trans-title-group xml:lang="es">
               <trans-title>Efecto de la longitud y la dosificaci&#x00F3;n de las fibras de polivinilo alcohol (PVA) sobre las propiedades mec&#x00E1;nicas y la permeabilidad a iones cloruro del hormig&#x00F3;n.</trans-title>
            </trans-title-group>
         </title-group>
         <contrib-group>
            <contrib contrib-type="author" corresp="no">
               <name name-style="western">
                  <surname>Chen</surname>
                  <given-names>W.</given-names>
               </name>
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                     vocab-term="Formal Analysis"
                     vocab-term-identifier="https://credit.niso.org/contributor-roles/formal-analysis/">Formal analysis</role>
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                     vocab-term="Investigation"
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               <xref ref-type="aff" rid="aff-1-e349">
                  <sup>a</sup>
               </xref>
               <xref ref-type="aff" rid="aff-2-e349">
                  <sup>b</sup>
               </xref>
            </contrib>
            <contrib contrib-type="author" corresp="no">
               <name name-style="western">
                  <surname>Wen</surname>
                  <given-names>Y.</given-names>
               </name>
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                     vocab-term="Conceptualization"
                     vocab-term-identifier="https://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
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                     vocab-term="Methodology"
                     vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
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                     vocab-term="Project administration"
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               <xref ref-type="aff" rid="aff-3-e349">
                  <sup>b</sup>
               </xref>
            </contrib>
            <aff id="aff-1-e349">
               <label>
                  <sup>a</sup>
               </label>
               <institution>College of Harbour, Coastal and Offshore Engineering, Hohai University</institution>
               <city>Nanjing</city>
               <country country="CN">China</country>
            </aff>
            <aff id="aff-2-e349">
               <label>
                  <sup>b</sup>
               </label>
               <institution>School of Civil Engineering, Inner Mongolia University of Science and Technology</institution>
               <city>Baotou</city>
               <country country="CN">China</country>
            </aff>
            <aff id="aff-3-e349">
               <label>
                  <sup>c</sup>
               </label>
               <institution>Key Laboratory of Coastal Disaster and Defence of Ministry of Education, Hohai University</institution>
               <city>Nanjing</city>
               <country country="CN">China</country>
            </aff>
         </contrib-group>
         <author-notes>
            <corresp id="corr-1-e349">
               <email xlink:href="liaoyingdi@hhu.edu.cn">liaoyingdi@hhu.edu.cn</email>
            </corresp>
         </author-notes>
         <pub-date date-type="pub"
                   publication-format="electronic"
                   iso-8601-date="2024-09-30">
            <day>30</day>
            <month>09</month>
            <year>2024</year>
         </pub-date>
         <pub-date date-type="collection"
                   publication-format="electronic"
                   iso-8601-date="2024-09-30">
            <day>30</day>
            <month>09</month>
            <year>2024</year>
         </pub-date>
         <volume>74</volume>
         <issue>355</issue>
         <elocation-id>e349</elocation-id>
         <pub-history>
            <event>
               <event-desc>Recibido</event-desc>
               <date date-type="received" iso-8601-date="2023-11-30">
                  <day>30</day>
                  <month>11</month>
                  <year>2023</year>
               </date>
            </event>
            <event>
               <event-desc>Aceptado</event-desc>
               <date date-type="accepted" iso-8601-date="2024-05-13">
                  <day>13</day>
                  <month>05</month>
                  <year>2024</year>
               </date>
            </event>
            <event>
               <event-desc>Fecha de publicaci&#x00F3;n on-line</event-desc>
               <date date-type="pub" iso-8601-date="2024-10-31">
                  <day>31</day>
                  <month>10</month>
                  <year>2024</year>
               </date>
            </event>
         </pub-history>
         <permissions>
            <copyright-statement>&#x00A9; 2024 CSIC</copyright-statement>
            <copyright-year>2024</copyright-year>
            <copyright-holder>CSIC</copyright-holder>
            <ali:free_to_read/>
            <license license-type="open-access"
                     xlink:href="https://creativecommons.org/licenses/by-nc-nd/4.0/">
               <ali:license_ref>https://creativecommons.org/licenses/by-nc-nd/4.0/</ali:license_ref>
               <license-p>Este es un art&#x00ED;culo de acceso abierto distribuido bajo los t&#x00E9;rminos de la licencia de uso y distribuci&#x00F3;n Creative Commons Reconocimiento 4.0 Internacional (CC BY 4.0).</license-p>
            </license>
         </permissions>
         <self-uri xlink:href="XXXXXXXXXXXXXXXXXXXXXX"/>
         <abstract>
            <title>ABSTRACT</title>
            <p>To inquire about the properties of concrete reinforced with polyvinyl alcohol (PVA) fiber (various fiber lengths and dosages), different experimental tests including mechanical property, cracking resistance, and chloride resistance were investigated. The overall performance of PVA fiber-reinforced concrete (FRC) was innovatively analyzed integrating mechanical indicators and crack resistance parameters. Furthermore, nuclear magnetic resonance (NMR) and scanning electron microscope (SEM) were selected to analyze the causes and mechanisms underlying the alterations in the performance of PVA-FRC. The experimental results demonstrate that the flexural strength, the crack resistance characteristic and chloride ion penetration resistance of PVA-FRC are significantly improved compared to ordinary concrete. Increasing fiber length plays a key role in flexural strength, compared with fiber dosage. Considering both mechanical properties and durability, PVA-FRC containing 0.25&#x0025; volume fraction of 12 mm PVA fibers (F12-0.25) demonstrated optimal performance.</p>
         </abstract>
         <trans-abstract xml:lang="es">
            <title>RESUMEN</title>
            <p>Para investigar las propiedades del concreto reforzado con fibra de alcohol polivin&#x00ED;lico (PVA) (distintas longitudes y dosis de fibra), se realizaron diferentes pruebas experimentales incluyendo propiedad mec&#x00E1;nica, resistencia a la fisuraci&#x00F3;n y resistencia al cloruro. El rendimiento general del concreto reforzado con fibra de PVA (FRC) fue analizado de manera innovadora integrando indicadores mec&#x00E1;nicos y par&#x00E1;metros de resistencia a la fisuraci&#x00F3;n. Adem&#x00E1;s, se seleccionaron la resonancia magn&#x00E9;tica nuclear (NMR) y el microscopio electr&#x00F3;nico de barrido (SEM) para analizar las causas y mecanismos detr&#x00E1;s de las alteraciones en el rendimiento del PVA-FRC. Los resultados experimentales demuestran que la resistencia a la flexi&#x00F3;n, la caracter&#x00ED;stica de resistencia a la fisuraci&#x00F3;n y la resistencia a la penetraci&#x00F3;n de iones de cloruro del PVA-FRC mejoran significativamente en comparaci&#x00F3;n con el concreto ordinario. El aumento de la longitud de la fibra juega un papel clave en la resistencia a la flexi&#x00F3;n, en comparaci&#x00F3;n con la dosis de fibra. Considerando tanto las propiedades mec&#x00E1;nicas como la durabilidad, el PVA-FRC que contiene una fracci&#x00F3;n de volumen del 0.25&#x0025; de fibras de PVA de 12 mm (F12-0.25) demostr&#x00F3; un rendimiento &#x00F3;ptimo.</p>
         </trans-abstract>
         <kwd-group>
            <kwd>PVA-FRC</kwd>
            <kwd>Mechanical properties</kwd>
            <kwd>Cracking resistance</kwd>
            <kwd>Chloride penetration</kwd>
            <kwd>Drying-wetting cycle</kwd>
            <kwd>NMR</kwd>
            <kwd>SEM</kwd>
         </kwd-group>
         <kwd-group xml:lang="es">
            <kwd>PVA-FRC</kwd>
            <kwd>Propiedades mec&#x00E1;nicas</kwd>
            <kwd>Resistencia a la fisuraci&#x00F3;n</kwd>
            <kwd>Penetraci&#x00F3;n de cloruros</kwd>
            <kwd>Ciclo de secado-humedad</kwd>
            <kwd>NMR</kwd>
            <kwd>SEM</kwd>
         </kwd-group>
         <counts>
            <fig-count count="16"/>
            <table-count count="6"/>
            <equation-count count="3"/>
            <ref-count count="48"/>
            <page-count count="14"/>
         </counts>
      </article-meta>
   </front>
   <body>
      <sec sec-type="intro" id="sec-1-e349">
         <label>1.</label>
         <title>INTRODUCTION</title>
         <p>Due to its durability, reliability and affordability (<xref rid="ref-1-e349" ref-type="bibr">1</xref>), concrete is used in a variety of buildings and structures. However, it is prone to cracking under tensile strain (<xref rid="ref-2-e349" ref-type="bibr">2</xref>, <xref rid="ref-3-e349" ref-type="bibr">3</xref>). These cracks allow water and chloride ions to penetrate the concrete matrix, accumulating continuously during service. When chloride ion concentration at the rebar-concrete interface reaches the threshold, the passive film on the surface of steel will be broken, simultaneously. This corrosion process gradually weakens the steel, significantly reducing the structure&#x0027;s load-bearing capacity and service life (<xref rid="ref-4-e349" ref-type="bibr">4</xref>, <xref rid="ref-5-e349" ref-type="bibr">5</xref>). To mitigate crack extension and increase matrix toughness, the chopped fibers are added into matrix performing deflection and bridging roles (<xref rid="ref-6-e349" ref-type="bibr">6</xref>). This type of concrete is classified as fiber-reinforced concrete (FRC).</p>
         <p>Steel fiber is commonly used to enhance the tensile properties of concrete. However, it adversely affects the structural quality. Consequently, research has shifted toward synthetic fibers, including glass, polyethylene (PP), and polyvinyl alcohol (PVA) fibers. Glass fiber, however, exhibits poor alkali resistance, while PP fiber suffers from poor dispersion and higher costs. In contrast, PVA fiber offers significant benefits, including being lightweight, alkali-resistant, and possessing high tensile strength, aspect ratio, and modulus of elasticity (<xref rid="ref-7-e349" ref-type="bibr">7</xref>, <xref rid="ref-8-e349" ref-type="bibr">8</xref>). Notably, PVA fiber contains hydroxyl groups (OH), as showed in <xref rid="fig-1-e349" ref-type="fig">Figure 1</xref>, providing a nucleation point for strong chemical bonding and the formation of hydration products (<xref rid="ref-9-e349" ref-type="bibr">9</xref>, <xref rid="ref-10-e349" ref-type="bibr">10</xref>). PVA fiber&#x0027;s high tensile strength significantly aids the matrix in dissipating external loads. Furthermore, PVA fiber transfers energy during crack propagation, thus reducing stress concentration and inhibiting crack growth (<xref rid="ref-10-e349" ref-type="bibr">10</xref>, <xref rid="ref-11-e349" ref-type="bibr">11</xref>). These advantages underscore PVA fiber&#x0027;s promising potential in infrastructure construction (<xref rid="ref-12-e349" ref-type="bibr">12</xref>).</p>
         <fig id="fig-1-e349" position="float" orientation="portrait">
            <chem-struct-wrap id="csw-1-e349"><label>FIGURE 1.</label>
            <caption>
               <title>PVA fiber structure.</title>
            </caption>
            <graphic id="gra-1-e349"
                     xlink:href="a06d88bdedaf4f84b0a6e343c0ff7be9_001.jpeg"
                     position="anchor"
                     orientation="portrait"/></chem-struct-wrap>
         </fig>
         <p>The addition of PVA fiber has been advocated in concrete or cementitious materials to ameliorate deformation and load-bearing performances. For instance, PVA fiber was utilized as an appropriate additive in concrete mixture. Hu (<xref rid="ref-13-e349" ref-type="bibr">13</xref>) analyzed the mechanical properties of plain concrete with varying PVA fiber contents (0-0.116&#x0025;) and a consistent fiber length of 12.3 mm. They concluded that compressive strength and elastic modulus are positively correlated with the fiber content. Jang (<xref rid="ref-14-e349" ref-type="bibr">14</xref>) investigated the flexural fatigue performance of concrete combining 6 mm PVA fiber with an admixture rate of 0-1.2 kg/m<sup>3</sup>, after freeze-thaw damage. They discovered a positive correlation between PVA fiber content and improvements in fatigue bending load and deformation. Wang (<xref rid="ref-15-e349" ref-type="bibr">15</xref>) mixed silica fume and PVA fiber (12 mm and 1.2 kg/m<sup>3</sup>) into concrete and investigated the effect of single or mixed additive on performance. Results indicated that the fibers effectively inhibit drying shrinkage and crack development in both concrete and mortar. Additionally, Wu (<xref rid="ref-16-e349" ref-type="bibr">16</xref>) performed dynamic uniaxial compression and split tensile tests on concrete mixed with 12 mm fibers at different volume fractions (0, 0.2, 0.4, and 0.6&#x0025;). The results shown that brittle properties and residual strength of concrete are improved, which can be attributed to the toughening effect of the PVA fiber. PVA fiber concrete has garnered attention from a multitude of researchers, and it has also been utilized in practical repair projects. For example, PVA fiber concrete has been implied in the 2&#x0023; trial part of third line ship lock at Zaohe Ship Lock in Jiangsu, China (<xref rid="ref-17-e349" ref-type="bibr">17</xref>). While many studies have been conducted, there is still a gap regarding the consistency of mix proportions combining varying fiber length and dosage.</p>
         <p>The primary objective of this study is to elucidate the impact of PVA fibers on the mechanical behavior and durability of concrete. To achieve this, several key properties of concrete, such as workability, flexural strength, cracking resistance, and susceptibility to chloride ion penetration, were investigated. This study innovatively clarified the comprehensive performance of PVA fiber-reinforced concrete (PVA-FRC) by integrating mechanical indicators with crack resistance parameters. Subsequently, samples that exhibited superior comprehensive performance were further analyzed through chloride ion penetration tests to validate their enhanced durability. Additionally, to delve deeper into the microstructural effects, nuclear magnetic resonance (NMR) and scanning electron microscopy (SEM) techniques were employed. These methods provided a visual examination of the density and microstructure of the specimens, aiming to uncover the underlying mechanisms through which PVA fiber enhances concrete performance.</p>
      </sec>
      <sec id="sec-2-e349">
         <label>2.</label>
         <title>EXPERIMENTAL PROGRAM</title>
         <p>This section outlines the experimental framework, detailing the selection of raw materials, specimen preparation protocols, exposure scenarios, and testing methodologies. Given the significant variations in fiber dosages reported in the literature, which complicates their selection for practical applications (<xref rid="ref-13-e349" ref-type="bibr">13</xref>, <xref rid="ref-16-e349" ref-type="bibr">16</xref>, <xref rid="ref-18-e349" ref-type="bibr">18</xref>). To overcome these challenges, this study adheres to the dosage recommendations specified in the PVA fiber Manufacturers&#x0027; Instructions. Consequently, the PVA volume fractions were set at 0.05&#x0025;, 0.15&#x0025;, and 0.25&#x0025;. In this study, the water-binder ratio was fixed at 0.43. Detailed descriptions of the investigations follow.</p>
         <sec id="sec-3-e349">
            <label>2.1.</label>
            <title>
               <italic toggle="yes">Raw materials</italic>
            </title>
            <p>Cement (1. P.O. 42.5) and Class I fly ash, substituting 10&#x0025; of the cement&#x0027;s mass, served as the binder materials. Tables <xref rid="taw-1-e349" ref-type="table">1</xref> and <xref rid="taw-2-e349" ref-type="table">2</xref> detail the physical and chemical properties of these binders, respectively. The gravel, featuring a maximum particle size of 12 mm, was chosen as the coarse aggregate to optimize fiber dispersion and the requirement of slab test (<xref rid="ref-15-e349" ref-type="bibr">15</xref>, <xref rid="ref-19-e349" ref-type="bibr">19</xref>). Additionally, the river sand with a fineness modulus of 2.4 was used in PVA-FRC as fine aggregates. The remaining physical properties of coarse aggregate included a moisture content of 0.17&#x0025; and a crushing index of 8.2&#x0025;. In addition, the coarse and fine aggregates were sourced from Inner Mongolia Huameng Aggregate Co., Ltd. (Inner Mongolia, China), with bulk densities of 2750 kg&#x00B7;m<sup>-3</sup> and 2510 kg&#x00B7;m<sup>-3</sup>, respectively. Tap water was used for casting and curing all concrete mixtures, ensuring that the maximum chloride content did not exceed 500 ppm. To adjust fluidity performance, the dosage of naphthalene sulfonate superplasticizer (NSS) was 1.4&#x0025; of the binders material mass, which is supplied by Baotou Anshun New Building Materials Co., Ltd (Inner Mongolia, China) (<xref rid="ref-20-e349" ref-type="bibr">20</xref>). The NSS dosage remained consistent to explore the impact of PVA fiber length and dosage on concrete workability. The microscopic morphology and mechanical parameters of the PVA fiber are illustrated in <xref rid="fig-2-e349" ref-type="fig">Figure 2</xref> and <xref rid="taw-3-e349" ref-type="table">Table 3</xref>, respectively.</p>
            <table-wrap id="taw-1-e349" position="float" orientation="portrait">
               <label>Table 1</label>
               <caption>
                  <title>Properties of binders.</title>
               </caption>
               <table id="tab-1-e349"
                      frame="hsides"
                      rules="rows"
                      width="50&#x0025;">
                  <thead>
                     <tr>
                        <th valign="middle" align="left" rowspan="1" colspan="1">Composition</th>
                        <th valign="middle" align="left" rowspan="1" colspan="1"/>
                        <th valign="middle" align="left" rowspan="1" colspan="1">Cement</th>
                        <th valign="middle" align="left" rowspan="1" colspan="1">Fly ash</th>
                     </tr>
                  </thead>
                  <tbody>
                     <tr>
                        <td valign="middle" align="left" rowspan="1" colspan="1">Specific surface (m<sup>2</sup>&#x00B7;g<sup>-1</sup>)</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">-</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">360</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">475</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="left" rowspan="1" colspan="1">Loss of ignition</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">-</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">0.88</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">3.17</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="left" rowspan="1" colspan="1">0.045 mm sieve residue</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">-</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">-</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">0.11</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="left" rowspan="1" colspan="1">Specific gravity (g&#x00B7;cm<sup>-3</sup>)</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">-</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">3.23</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">2.69</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="left" rowspan="2" colspan="1">Setting time (min)</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">initial</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">95</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">-</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="left" rowspan="1" colspan="1">final</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">216</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">-</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="left" rowspan="2" colspan="1">Compressive strength (MPa)</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">3 days</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">24.80</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">-</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="left" rowspan="1" colspan="1">28 days</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">48.50</td>
                        <td valign="middle" align="left" rowspan="1" colspan="1">-</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="left" colspan="4" rowspan="1">-indicate that the data mentioned above was not tested in this article.</td>
                     </tr>
                  </tbody>
               </table>
            </table-wrap>
            <fig id="fig-2-e349" position="float" orientation="portrait">
               <label>
                  <bold>Figure 2</bold>
               </label>
               <caption>
                  <title>Microscopic morphology of PVA fiber.</title>
               </caption>
               <graphic id="gra-2-e349"
                        xlink:href="a06d88bdedaf4f84b0a6e343c0ff7be9_002.png"
                        position="anchor"
                        orientation="portrait"/>
            </fig>
            <table-wrap id="taw-2-e349" position="float" orientation="portrait">
               <label>
                  <bold>Table 2.</bold>
               </label>
               <caption>
                  <title>Chemical compositions of the binders.</title>
               </caption>
               <table id="tab-2-e349"
                      frame="hsides"
                      rules="rows"
                      width="50&#x0025;">
                  <thead>
                     <tr>
                        <th valign="middle" align="center" rowspan="1" colspan="1">Composition (&#x0025;)</th>
                        <th valign="middle" align="center" rowspan="1" colspan="1">Cement</th>
                        <th valign="middle" align="center" rowspan="1" colspan="1">Fly ash</th>
                     </tr>
                  </thead>
                  <tbody>
                     <tr>
                        <td valign="middle" align="left" rowspan="1" colspan="1">SiO<sub>2</sub>
                        </td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">22.39</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">48.83</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="left" rowspan="1" colspan="1">Al<sub>2</sub>O<sub>3</sub>
                        </td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">7.16</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">17.18</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="left" rowspan="1" colspan="1">Fe<sub>2</sub>O<sub>3</sub>
                        </td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">2.49</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">8.07</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="left" rowspan="1" colspan="1">CaO</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">53.26</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">4.23</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="left" rowspan="1" colspan="1">MgO</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">4.32</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">6.76</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="left" rowspan="1" colspan="1">SO<sub>3</sub>
                        </td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">1.30</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">2.16</td>
                     </tr>
                  </tbody>
               </table>
            </table-wrap>
            <table-wrap id="taw-3-e349" position="float" orientation="portrait">
               <label>Table 3.</label>
               <caption>
                  <title>Properties of PVA fiber.</title>
               </caption>
               <table id="tab-3-e349"
                      frame="hsides"
                      rules="rows"
                      width="50&#x0025;">
                  <tbody>
                     <tr>
                        <td valign="middle" align="left" rowspan="1" colspan="1">Diameter (mm)</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">0.035</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="left" rowspan="1" colspan="1">Length (mm)</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">8, 12, 18</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="left" rowspan="1" colspan="1">Aspect ratio</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">229, 343, 514</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="left" rowspan="1" colspan="1">Elastic modulus (GPa)</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">42</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="left" rowspan="1" colspan="1">Tensile strength (MPa)</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">1600</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="left" rowspan="1" colspan="1">Density (g&#x00B7;cm<sup>-3</sup>)</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">1.2</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="left" rowspan="1" colspan="1">Elongation (&#x0025;)</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">8</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="left" rowspan="1" colspan="1">Color</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">white</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="left" rowspan="1" colspan="1">Fiber surface</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">smooth</td>
                     </tr>
                  </tbody>
               </table>
            </table-wrap>
         </sec>
         <sec id="sec-4-e349">
            <label>2.2.</label>
            <title>
               <italic toggle="yes">Mixture proportions</italic>
            </title>
            <p>Nine PVA-FRC mixtures incorporating lengths of 8 mm, 12 mm and 18 mm at volume fractions of 0.05&#x0025;, 0.15&#x0025; and 0.25&#x0025; were prepared. An ordinary concrete mix, referred to as NC, was utilized for comparison purposes. The proportions of a typical PVA-FRC and NC, as shown in <xref rid="taw-4-e349" ref-type="table">Table 4</xref>, were determined and compared.</p>
            <table-wrap id="taw-4-e349" position="float" orientation="portrait">
               <label>Table 4.</label>
               <caption>
                  <title>PVA-FRC mixture proportions.</title>
               </caption>
               <table id="tab-4-e349"
                      frame="hsides"
                      rules="rows"
                      width="70&#x0025;">
                  <thead>
                     <tr>
                        <th valign="middle" align="center" rowspan="2" colspan="1">Mixture</th>
                        <th valign="middle" align="center" colspan="2" rowspan="1">PVA fiber</th>
                        <th valign="middle"
                            align="center"
                            rowspan="2"
                            style="white-space:pre-line"
                            colspan="1">Cement
                    (kg/m<sup>3</sup>)
               </th>
                        <th valign="middle"
                            align="center"
                            rowspan="2"
                            style="white-space:pre-line"
                            colspan="1">Fine
                    aggregate
                (kg/m<sup>3</sup>)
               </th>
                        <th valign="middle"
                            align="center"
                            rowspan="2"
                            style="white-space:pre-line"
                            colspan="1">Coarse
                    aggregate<xref ref-type="table-fn" rid="twf-3-e349">
                              <sup>b</sup>
                           </xref>
                (kg/m<sup>3</sup>)
               </th>
                        <th valign="middle"
                            align="center"
                            rowspan="2"
                            style="white-space:pre-line"
                            colspan="1">Fly ash
                    (kg/m<sup>3</sup>)
               </th>
                        <th valign="middle"
                            align="center"
                            rowspan="2"
                            style="white-space:pre-line"
                            colspan="1">Water
                    (kg/m<sup>3</sup>)
               </th>
                        <th valign="middle"
                            align="center"
                            rowspan="2"
                            style="white-space:pre-line"
                            colspan="1">NSS
                (kg/m<sup>3</sup>)
               </th>
                     </tr>
                     <tr>
                        <th valign="middle"
                            align="center"
                            style="white-space:pre-line"
                            rowspan="1"
                            colspan="1">Length
                    (X)(mm)
               </th>
                        <th valign="middle"
                            align="center"
                            style="white-space:pre-line"
                            rowspan="1"
                            colspan="1">Volume fraction
                    (Y)(&#x0025;)
               </th>
                     </tr>
                  </thead>
                  <tbody>
                     <tr>
                        <td valign="middle" align="center" rowspan="1" colspan="1">NC</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">-</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">0</td>
                        <td valign="middle" align="center" rowspan="2" colspan="1">330</td>
                        <td valign="middle" align="center" rowspan="2" colspan="1">837</td>
                        <td valign="middle" align="center" rowspan="2" colspan="1">1061</td>
                        <td valign="middle" align="center" rowspan="2" colspan="1">61</td>
                        <td valign="middle" align="center" rowspan="2" colspan="1">170</td>
                        <td valign="middle" align="center" rowspan="2" colspan="1">5.449</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="center" rowspan="1" colspan="1">FX-Y<xref ref-type="table-fn" rid="twf-1-e349">
                              <sup>a</sup>
                           </xref>
                        </td>
                        <td valign="middle"
                            align="center"
                            style="white-space:pre-line"
                            rowspan="1"
                            colspan="1">8 mm
                    12 mm
                18 mm
               </td>
                        <td valign="middle"
                            align="center"
                            style="white-space:pre-line"
                            rowspan="1"
                            colspan="1">0.05
                    0.15
                0.25
               </td>
                     </tr>
                  </tbody>
               </table>
               <table-wrap-foot>
                  <fn id="twf-1-e349">
                     <label>
                        <sup>a</sup>
                     </label>
                     <p>X and Y indicate fiber length and fiber dosage, respectively.</p>
                  </fn>
                  <fn id="twf-2-e349">
                     <p>e.g. F8-0.05 indicates mixture with 8 mm and 0.05&#x0025; PVA fiber and NC indicates normal concrete.</p>
                  </fn>
                  <fn id="twf-3-e349">
                     <label>
                        <sup>b</sup>
                     </label>
                     <p>maximum particle size is 12 mm.</p>
                  </fn>
               </table-wrap-foot>
            </table-wrap>
         </sec>
         <sec id="sec-5-e349">
            <label>2.3.</label>
            <title>
               <italic toggle="yes">Specimen preparation and testing</italic>
            </title>
            <p>To enhance dispersibility, PVA fiber was premixed in water as part of the pretreatment process. Binders and aggregates were dry-mixed for three minutes. Then, water containing dispersed PVA fiber and NSS was added and mixed for an additional three minutes. Finally, the mixture was vigorously stirred for an additional five minutes to ensure optimal fiber dispersibility. Upon completion of the mixing process, the fresh mixtures of each type were cast into prismatic, cubic and steel plate molds. Only one specimen was cast in the steel plate mold, while the others were poured into three parallel specimens. The type and dimensions of the cast specimens are listed in <xref rid="taw-5-e349" ref-type="table">Table 5</xref>. Concurrently, the specimens were covered with plastic wrap to minimize water evaporation. After being left outside for one day, the samples were demolded. All specimens were placed in a standard curing chamber at 20&#x00B1;2 &#x00B0;C with a relative humidity of 95&#x0025; and continued to cure for 27 days.</p>
            <table-wrap id="taw-5-e349" position="float" orientation="portrait">
               <label>
                  <bold>Table 5</bold>
               </label>
               <caption>
                  <title>The type and dimensions of specimens.</title>
               </caption>
               <table id="tab-5-e349"
                      frame="hsides"
                      rules="rows"
                      width="50&#x0025;">
                  <thead>
                     <tr>
                        <th valign="middle" align="center" rowspan="1" colspan="1">Type</th>
                        <th valign="middle" align="center" rowspan="1" colspan="1">Nominal size</th>
                        <th valign="middle" align="center" rowspan="1" colspan="1">Function</th>
                        <th valign="middle" align="center" rowspan="1" colspan="1">Numbers<xref ref-type="table-fn" rid="twf-4-e349">
                              <sup>a</sup>
                           </xref>
                        </th>
                     </tr>
                  </thead>
                  <tbody>
                     <tr>
                        <td valign="middle" align="center" rowspan="1" colspan="1">Prismatic</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">100&#x00D7;100&#x00D7;400 mm<sup>3</sup>
                        </td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">Flexural strength</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">3</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="center" rowspan="1" colspan="1">Steel plate mold</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">600&#x00D7;600&#x00D7;63 mm<sup>3</sup>
                        </td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">Cracking resistance</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">1</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="center" rowspan="2" colspan="1">Cubic</td>
                        <td valign="middle" align="center" rowspan="2" colspan="1">100&#x00D7;100&#x00D7;100 mm<sup>3</sup>
                        </td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">Chloride penetration depth</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">3</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="center" rowspan="1" colspan="1">Chloride content</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">3</td>
                     </tr>
                  </tbody>
               </table>
               <table-wrap-foot>
                  <fn id="twf-4-e349">
                     <label>
                        <sup>a</sup>
                     </label>
                     <p>indicate the number for each type mixture.</p>
                  </fn>
               </table-wrap-foot>
            </table-wrap>
            <sec id="sec-6-e349">
               <label>2.3.1.</label>
               <title>
                  <italic toggle="yes">Workability</italic>
               </title>
               <p>Following the Chinese standard GB/T 50080-2016 (<xref rid="ref-21-e349" ref-type="bibr">21</xref>), the slump test for each type of proportion was carried out using a truncated conical slump cone after concrete mixing. This slump cone has an upper diameter of 100 mm, a lower diameter of 200 mm, and a height of 300 mm. Additionally, the initial uniform dispersion of fibers was assessed solely through visual inspection, as this method is considered reasonable and used only for preliminary assessments (<xref rid="ref-22-e349" ref-type="bibr">22</xref>, <xref rid="ref-23-e349" ref-type="bibr">23</xref>).</p>
            </sec>
            <sec id="sec-7-e349">
               <label>2.3.2.</label>
               <title>
                  <italic toggle="yes">Flexural strength</italic>
               </title>
               <p>According to the CECS 13-2009 (<xref rid="ref-24-e349" ref-type="bibr">24</xref>), a three-point bending test was performed on prismatic samples of each mixture measuring 100&#x00D7;100&#x00D7;400 mm<sup>3</sup> after standard curing to assess the impact of PVA fiber on the flexural strength (Fs). The schematic diagram of the test piece and loading mode is depicted in <xref rid="fig-3-e349" ref-type="fig">Figure 3</xref>. The average of three experimental results was utilized as the representative value for Fs.</p>
               <fig id="fig-3-e349" position="float" orientation="portrait">
                  <label>Figure 3</label>
                  <caption>
                     <title>Geometry of three-point bending.</title>
                  </caption>
                  <graphic id="gra-3-e349"
                           xlink:href="a06d88bdedaf4f84b0a6e343c0ff7be9_003.png"
                           position="anchor"
                           orientation="portrait"/>
               </fig>
            </sec>
            <sec id="sec-8-e349">
               <label>2.3.3.</label>
               <title>
                  <italic toggle="yes">Cracking resistance</italic>
               </title>
               <p>To estimate the crack resistance potential, the mixture of each type was molded into a steel plate mold measuring 600&#x00D7;600&#x00D7;63 mm<sup>3</sup>, as shown in <xref rid="fig-4-e349" ref-type="fig">Figure 4</xref>(a). According to the Chinese standard CECS 38-2004 (<xref rid="ref-20-e349" ref-type="bibr">20</xref>), a fan was positioned horizontally in the middle of the mold to maintain the desired ambient evaporation rate. During the whole test, a constant wind speed of 5-7 m&#x00B7;s<sup>-1</sup> was maintained, as illustrated in <xref rid="fig-4-e349" ref-type="fig">Figure 4</xref>(b). After 24 h exposure test, the crack area is calculated by <xref rid="dif-1-e349" ref-type="disp-formula">Equation &#x005B;1&#x005D;</xref> and the index indicating of anti-crack property is calculate by <xref rid="dif-2-e349" ref-type="disp-formula">Equation &#x005B;2&#x005D;</xref>. For each specimen, the crack length and width were recorded, detected using a width measuring instrument (JW-CK102), and analyzed with Image J software.</p>
               <disp-formula id="dif-1-e349">
                  <label>&#x005B;1&#x005D;</label><mml:math display="inline" id="mml-1-e349" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:munderover><mml:mo>&#x2211;</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover></mml:mstyle><mml:msub><mml:mi>w</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>m</mml:mi><mml:mi>a</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>l</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:math>
               </disp-formula>
               <disp-formula id="dif-2-e349">
                  <label>&#x005B;2&#x005D;</label><mml:math display="inline" id="mml-2-e349" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>&#x3B7;</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi>A</mml:mi></mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mfrac></mml:mstyle></mml:math>
               </disp-formula>
               <p>where, <italic toggle="yes">A</italic> is the crack area of PVA-FRC, mm<sup>2</sup>; <italic toggle="yes">A</italic>
                  <italic toggle="yes">
                     <sub>m</sub>
                  </italic> is crack area of the normal concrete, mm<sup>2</sup>; <italic toggle="yes">w</italic>
                  <italic toggle="yes">
                     <sub>i.max</sub>
                  </italic> is the maxim width of the number<italic toggle="yes"> i</italic> crack, mm; <italic toggle="yes">l</italic>
                  <italic toggle="yes">
                     <sub>i</sub>
                  </italic>, is the length of the number <italic toggle="yes">i</italic> crack, mm; <italic toggle="yes">η</italic> is the index of anti-cracking property</p>
               <fig id="fig-4-e349" position="float" orientation="portrait">
                  <label>Figure 4</label>
                  <caption>
                     <title>Geometry of cracking resistance test.</title>
                  </caption>
                  <graphic id="gra-4-e349"
                           xlink:href="a06d88bdedaf4f84b0a6e343c0ff7be9_006.png"
                           position="anchor"
                           orientation="portrait"/>
               </fig>
            </sec>
            <sec id="sec-9-e349">
               <label>2.3.4.</label>
               <title>
                  <italic toggle="yes">Drying-wetting cycles</italic>
               </title>
               <p>An accelerated cycle mechanism was designed to simulate the service conditions of concrete in a hot-wet climate. Three cubic specimens of each type mixture were selected to undergo dry-wet cycles test. The cube specimen measuring 100&#x00D7;100&#x00D7;100 mm<sup>3</sup>, had only one surface exposed during the chloride ion dry-wet cycle test, while the other surfaces were coated with epoxy resin. Correspondingly, a dry-wet cycle was described as below: initially, the concrete specimen was immersed in sodium chloride solution with mass fraction 3.5&#x0025; for 7 days. Subsequently, the specimen was allowed to dry in the natural environment for 7 days. After the corresponding period, 2 cycles (28 days), 4 cycles (56 days), 6 cycles (84 days) and 8 cycles (112 days), the penetration depth of chloride ion and free chloride ion content in the sample were measured and calculated. The pH of the solution was regularly checked, critical step in ensuring a constant concentration</p>
            </sec>
            <sec id="sec-10-e349">
               <label>2.3.5.</label>
               <title>
                  <italic toggle="yes">Chloride penetration depth testing</italic>
               </title>
               <p>The depth of chloride penetration in the cubic specimen was measured after the drying-wetting cycles. A wet stone cutter was used to cut 5 mm thick slices from the exposed surface of the cubic sample under test, to ensure the accuracy of measurements. The surface of each slice was sprayed with a 0.05 mol/L potassium chromate indicator solution and then dried at 105 &#x00B0;C for 2 hours. This spraying and drying process was repeated once. Finally, the dried sample slice was sprayed with a 0.1 mol/L solution of silver nitrate. The area of color development was divided into 10 equal sections across the width (100 mm), and the depth from the surface to each division was measured with calipers. The average of these measurements was defined as the chloride corrosion depth (<xref rid="ref-25-e349" ref-type="bibr">25</xref>).</p>
            </sec>
            <sec id="sec-11-e349">
               <label>2.3.6.</label>
               <title>
                  <italic toggle="yes">Chloride content testing</italic>
               </title>
               <p>Powder samples were collected from four different positions at the same depth in the cubic specimen after the drying-wetting cycles. The depth intervals for collecting powder were set as follows: 1) every 1 mm up to a depth of 10 mm; 2) every 2 mm beyond 10 mm depth. A sieve with a mesh diameter of 0.15 mm was used to screen the powder samples. The test procedure, depicted in <xref rid="fig-5-e349" ref-type="fig">Figure 5</xref>, adheres to the Chinese standard JTS/T 236-2019 (<xref rid="ref-26-e349" ref-type="bibr">26</xref>). Subsequently, the apparent chloride diffusion coefficient was calculated using Fick&#x0027;s second law.</p>
               <fig id="fig-5-e349" position="float" orientation="portrait">
                  <label>Figure 5.</label>
                  <caption>
                     <title>The flowchart of chloride ion determination.</title>
                  </caption>
                  <graphic id="gra-5-e349"
                           xlink:href="a06d88bdedaf4f84b0a6e343c0ff7be9_007.png"
                           position="anchor"
                           orientation="portrait"/>
               </fig>
            </sec>
            <sec id="sec-12-e349">
               <label>2.3.7.</label>
               <title>
                  <italic toggle="yes">NMR test</italic>
               </title>
               <p>The NC, F12-X, and F18-X series samples, each with a diameter and height of 50 mm, were subjected to a vacuum water retention pressure of 0.1 MPa for 16 hours using the NMR instrument (MesoMR23-060V-I). The experiment was conducted in a laboratory maintained at 25&#x00B1;0.2 &#x00B0;C to control temperature effects on the test results. Mathematical models relating relaxation time to pore-specific surface area and volume can be developed based on the rapid exchange theory. According to this theory, there is a linear relationship between the transverse relaxation time (T<sub>2</sub>) and pore size (<xref rid="ref-27-e349" ref-type="bibr">27</xref>, <xref rid="ref-28-e349" ref-type="bibr">28</xref>). The value of T<sub>2</sub> can be approximately calculated as expressed in <xref rid="dif-3-e349" ref-type="disp-formula">Equation &#x005B;3&#x005D;</xref>.</p>
               <disp-formula id="dif-3-e349">
                  <label>&#x005B;3&#x005D;</label>
				  <mml:math display="inline" id="mml-3-e349" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mstyle displaystyle="true"><mml:mfrac><mml:mn>1</mml:mn><mml:msub><mml:mi>T</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x3C1;</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi>s</mml:mi><mml:mi>u</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:msub><mml:mo>&#xD7;</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac><mml:mi>S</mml:mi><mml:mi>V</mml:mi></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x3C1;</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi>s</mml:mi><mml:mi>u</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:msub><mml:mo>&#xD7;</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac><mml:mn>2</mml:mn><mml:mi>r</mml:mi></mml:mfrac></mml:mstyle></mml:math>
               </disp-formula>
               <p>where, <italic toggle="yes">T</italic>
                  <sub>2</sub> is the relaxation time of water in the pore; <italic toggle="yes">r</italic>
                  <sub>2,sur</sub> is the <italic toggle="yes">T</italic>
                  <sub>2</sub> surface relaxivity; <italic toggle="yes">r</italic> is the radius of the pore; <italic toggle="yes">S/V</italic> is the pore surface area-volume ratio, which can be equal to 2⸱<italic toggle="yes">r</italic>
                  <sup>-1</sup> in this research.</p>
            </sec>
            <sec id="sec-13-e349">
               <label>2.3.8.</label>
               <title>
                  <italic toggle="yes">SEM test</italic>
               </title>
               <p>The SEM instrument (FEI Quanta 650FEG) was used and testing sample measuring 5&#x00D7;5 mm<sup>2</sup> was treated by epoxy resins to close the internal pores of the material (<xref rid="ref-29-e349" ref-type="bibr">29</xref>). Then, sample was cut and polished to examine the microstructure.</p>
            </sec>
         </sec>
      </sec>
      <sec sec-type="results" id="sec-14-e349">
         <label>3.</label>
         <title>RESULTS AND ANALYSIS</title>
         <sec id="sec-15-e349">
            <label>3.1.</label>
            <title>
               <italic toggle="yes">Workability</italic>
            </title>
            <p>The significantly different slump of each mixture is shown in <xref rid="fig-6-e349" ref-type="fig">Figure 6</xref>. It is apparent that workability inversely correlates with the incorporation of fibers. Specifically, maintaining constant fiber length, an increase in fiber dosage invariably leads to a reduction in slump. Practically speaking, greater fiber content correlates with a decreased slump, although employing an appropriate vibration technique can enhance the placement and uniformity of fiber-reinforced concrete, as referenced in (<xref rid="ref-30-e349" ref-type="bibr">30</xref>). In this study, with a fiber content of 0.25&#x0025;, the slump value does not exceed 10 mm. Comparisons of this series of mixture proportions with others have not been conducted. The relationship between the slump and the addition of two other fiber dosages is elucidated and depicted through a normalized folding line. Notably, the slump reduction is significant in the concrete series with 0.15&#x0025; fiber content compared to others. Such as, comparing FX-0.05 with FX-0.15, the fiber dosage varying from 8 mm to 18 mm, the slump decreased by Such as, comparing FX-0.05 with FX-0.15, the fiber dosage varying from 8 mm to 18 mm, the slump decreased by 10.6&#x0025;, 25.5&#x0025;, and 47.8&#x0025; respectively, all demonstrating poorer flowability compared to NC., 25.5&#x0025;, and 47.8&#x0025; respectively, all demonstrating poorer flowability compared to NC Evidently, PVA fiber detrimentally affects workability. This decrease in slump can be attributed to the reduced efficacy of cement in binding coarse aggregates and the obstruction caused by the three-directionally randomly distributed fiber grid, which impedes fluidity (<xref rid="ref-31-e349" ref-type="bibr">31</xref>). In addition, the hydroxyl groups on PVA fiber surface tend to absorb water, thereby reducing the free flow of water between particles (<xref rid="ref-32-e349" ref-type="bibr">32</xref>, <xref rid="ref-33-e349" ref-type="bibr">33</xref>).</p>
            <fig id="fig-6-e349" position="float" orientation="portrait">
               <label>Figure 6</label>
               <caption>
                  <title>Comparative analysis of slump.</title>
               </caption>
               <graphic id="gra-6-e349"
                        xlink:href="a06d88bdedaf4f84b0a6e343c0ff7be9_009.png"
                        position="anchor"
                        orientation="portrait"/>
            </fig>
         </sec>
         <sec id="sec-16-e349">
            <label>3.2.</label>
            <title>
               <italic toggle="yes">Flexural strength</italic>
            </title>
            <p>The test results for flexural strength (Fs) are comprehensively detailed in <xref rid="fig-7-e349" ref-type="fig">Figure 7</xref>. To facilitate comparison, the Fs of each specimen has been normalized to that of normal concrete (NC), denoted as normalized f<sub>f</sub>=1. All specimens exhibit a consistent increase in Fs across various fiber lengths and dosages. Nevertheless, the impact of 8 mm fibers on Fs is notably minor compared to fibers of 12 mm and 18 mm lengths, particularly at lower volumetric dosages. Specifically, the specimens designated F8-0.05 and F8-0.15 demonstrate equivalent flexural strength values. When the volume fraction is minimal, variations in parameters appear to exert a negligible influence on the flexural characteristics of fiber-reinforced concrete. This phenomenon may be attributed to a balance between the diminished air entrainment caused by shorter fibers and their limited capacity to halt crack propagation (<xref rid="ref-15-e349" ref-type="bibr">15</xref>).</p>
            <fig id="fig-7-e349" position="float" orientation="portrait">
               <label>Figure 7</label>
               <caption>
                  <title>Fs of concrete: (a) the effect of PVA fiber lengths; (b) the effect of PVA fiber dosages.</title>
               </caption>
               <graphic id="gra-7-e349"
                        xlink:href="a06d88bdedaf4f84b0a6e343c0ff7be9_010.png"
                        position="anchor"
                        orientation="portrait"/>
            </fig>
            <p>To effectively analyze the impact of fiber parameters, length and dosage, on flexural strength (Fs), a multiple linear regression analysis (MLRA) was performed, and the findings are presented in <xref rid="taw-6-e349" ref-type="table">Table 6</xref>. The significance of the analysis of variance (ANOVA) is less than 0.05, indicating that the model developed with independent variables and dependent variable is scientific. The significant coefficient (0.033) indicates that fiber length more significantly affects Fs than fiber dosage. However, at higher dosages, the positive impact of increased fiber length decreases. For example, Fs in F12-0.25 and F18-0.25 is 1.324 times greater than in normal concrete (NC), mainly due to fiber length enhancing microcrack suppression and distribution uniformity in the cement matrix. Longer fibers effectively prevent microcrack development, improving flexural strength. Yet, their tendency to cluster can reduce their effective length and create weak points in the concrete, potentially undermining the benefits of longer fibers (<xref rid="ref-19-e349" ref-type="bibr">19</xref>). Moreover, the concrete&#x0027;s tensile stress is transferred to the fibers, resulting in an increase in the stress borne by the fibers and ultimately enhancing flexural performance (<xref rid="ref-34-e349" ref-type="bibr">34</xref>). These phenomena can be also obtained from SEM analysis.</p>
            <table-wrap id="taw-6-e349" position="float" orientation="portrait">
               <label>
                  <bold>Table 6</bold>
               </label>
               <caption>
                  <title>The key parameters of MLRA.</title>
               </caption>
               <table id="tab-6-e349"
                      frame="hsides"
                      rules="rows"
                      width="50&#x0025;">
                  <thead>
                     <tr>
                        <th valign="middle" align="center" rowspan="1" colspan="1">Model</th>
                        <th valign="middle" align="center" rowspan="1" colspan="1">Model adjusted r<sup>2</sup>
                        </th>
                        <th valign="middle" align="center" rowspan="1" colspan="1">Significance of ANOVA</th>
                        <th valign="middle" align="center" colspan="2" rowspan="1">Standardized coefficient</th>
                        <th valign="middle" align="center" colspan="2" rowspan="1">Significance of coefficient</th>
                        <th valign="middle" align="center" colspan="2" rowspan="1">VIF</th>
                     </tr>
                  </thead>
                  <tbody>
                     <tr>
                        <td valign="middle" align="center" rowspan="2" colspan="1">1</td>
                        <td valign="middle" align="center" rowspan="2" colspan="1">0.871</td>
                        <td valign="middle" align="center" rowspan="2" colspan="1">0.000<sup>c</sup>
                        </td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">PVA length</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">PVA dosage</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">PVA length</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">PVA dosage</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">PVA length</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">PVA dosage</td>
                     </tr>
                     <tr>
                        <td valign="middle" align="center" rowspan="1" colspan="1">0.623</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">0.354</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">0.033</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">1.178</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">4.455</td>
                        <td valign="middle" align="center" rowspan="1" colspan="1">4.455</td>
                     </tr>
                  </tbody>
               </table>
            </table-wrap>
         </sec>
         <sec id="sec-17-e349">
            <label>3.3.</label>
            <title>
               <italic toggle="yes">Cracking resistance</italic>
            </title>
            <p>The cracking parameters (max width, max length, total area and index of anti-cracking) of all type mixtures are depicted in Figures 8 and 9. It is clear that PVA fiber significantly enhances cracking resistance compared to normal concrete (NC). As detailed in the partial enlarged view of <xref rid="fig-8-e349" ref-type="fig">Figure 8</xref>, the 12 mm fibers outperform both the 8 mm and 18 mm fibers in terms of crack parameters. Specifically, the maximum width, maximum length, and total area of cracks for the F12-0.25 series are reduced to 96.1&#x0025;, 93.1&#x0025;, and 92&#x0025;, respectively, compared to NC. For the 8 mm series at a fiber volume fraction of 0.25&#x0025;, the improvements are noted as 83.3&#x0025;, 82.3&#x0025;, and 86.4&#x0025; in these parameters, respectively. Meanwhile, the 18 mm series shows increases of 92.3&#x0025;, 91.9&#x0025;, and 88.9&#x0025; in these parameters under identical conditions. There is a positive correlation between the maximum width of a crack and the total area of cracking as depicted in Figures 8(a) and (c). Furthermore, <xref rid="fig-9-e349" ref-type="fig">Figure 9</xref> shows that the crack resistance index varies with fiber length, with indices of 0.65, 0.99, and 0.95 for 8 mm, 12 mm, and 18 mm fibers at a 0.25&#x0025; volume fraction, respectively.</p>
            <fig id="fig-8-e349" position="float" orientation="portrait">
               <label>Figure 8</label>
               <caption>
                  <title>The parameters of cracking: (a) max width, (b) max length, (c) total area of cracking.</title>
               </caption>
               <graphic id="gra-8-e349"
                        xlink:href="a06d88bdedaf4f84b0a6e343c0ff7be9_011.png"
                        position="anchor"
                        orientation="portrait"/>
            </fig>
            <fig id="fig-9-e349" position="float" orientation="portrait">
               <label>Figure 9</label>
               <caption>
                  <title>The index of anti-cracking.</title>
               </caption>
               <graphic id="gra-9-e349"
                        xlink:href="a06d88bdedaf4f84b0a6e343c0ff7be9_012.png"
                        position="anchor"
                        orientation="portrait"/>
            </fig>
            <p>The improvements in cracking resistance can be attributed to the interactions between PVA fibers and the cement matrix. When subjected to tensile stress from shrinkage, the fibers inhibit crack formation by providing shear resistance at the fiber-matrix interface (<xref rid="ref-35-e349" ref-type="bibr">35</xref>). The length of the fibers plays a crucial role: shorter fibers might not bond effectively with the matrix, resulting in slippage and reduced crack resistance, whereas longer fibers enhance the contact area and strengthen the bond (<xref rid="ref-36-e349" ref-type="bibr">36</xref>). Moreover, the high polarity of PVA fiber serves as nucleation sites for calcium ions, improving adhesion at the interface and consequently increasing crack resistance (<xref rid="ref-37-e349" ref-type="bibr">37</xref>). This study finds that 12 mm PVA fiber is optimal, offering the best balance between adhesive forces and mechanical interlocking, essential for controlling crack propagation.</p>
            <p>To evaluate the overall properties of fiber concrete, five dimensions were selected for evaluation: crack width, crack area, index of anti-cracking, flexural strength, and slump. It is evident from Figures 7 and 8 that Fs and anti-cracking are notably affected by the 0.25&#x0025; fiber content. To further analyze performance variations with different fiber lengths, FX-0.25 was examined in <xref rid="fig-10-e349" ref-type="fig">Figure 10</xref>. It becomes apparent that concrete samples containing 12 mm and 18 mm PVA fibers demonstrate similar levels of performance in terms of flexural strength and index of anti-cracking. Specimens with 8 mm and 12 mm PVA fiber show comparable workability. By evaluating the graphical representations of these five dimensions, it is evident that the performance of the 12 mm specimen surpasses that of the 8 mm and 18 mm specimens.</p>
            <fig id="fig-10-e349" position="float" orientation="portrait">
               <label>Figure 10</label>
               <caption>
                  <title>Five-dimensional representation of FX-0.25.</title>
               </caption>
               <graphic id="gra-10-e349"
                        xlink:href="a06d88bdedaf4f84b0a6e343c0ff7be9_013.png"
                        position="anchor"
                        orientation="portrait"/>
            </fig>
         </sec>
         <sec id="sec-18-e349">
            <label>3.4.</label>
            <title>
               <italic toggle="yes">Chloride penetration profiles</italic>
            </title>
            <p>After the overall performance analysis, combining with the improved mechanical performance and resistance of cracking, only the performance of 12 mm series specimens was tested to characterize chloride penetration profiles.</p>
            <sec id="sec-19-e349">
               <label>3.4.1.</label>
               <title>
                  <italic toggle="yes">Chloride penetration depth</italic>
               </title>
               <p>The depth of chloride existence along with the varying time is depicted in <xref rid="fig-11-e349" ref-type="fig">Figure 11</xref>. It can be observed that the more time varies, the more deepened penetration it gains. The 0.25&#x0025; volume fraction PVA fiber particularly alleviates the depth of chloride penetration after selected wetting-drying cycles. In particular, the depth is 1.9 mm, 2 mm, 4.4 mm and 4.8 mm corresponding to 28, 56, 84 and 112 days of drying-wetting cycle, respectively, which decreases 36.6&#x0025;, 44.4&#x0025;, 22.8&#x0025; and 15.9&#x0025; compared to the NC.</p>
               <fig id="fig-11-e349" position="float" orientation="portrait">
                  <label>Figure 11</label>
                  <caption>
                     <title>The depth of chloride penetration.</title>
                  </caption>
                  <graphic id="gra-11-e349"
                           xlink:href="a06d88bdedaf4f84b0a6e343c0ff7be9_014.png"
                           position="anchor"
                           orientation="portrait"/>
               </fig>
               <p>It is noteworthy that the change in chloride penetration depth for F12-0.25 after 28 and 56 days is minimal. This phenomenon is likely linked to the interaction between PVA fiber and hydration products, as well as the degree of hydration and erosion of the concrete. According to Coppola et (<xref rid="ref-38-e349" ref-type="bibr">38</xref>) and Wang (<xref rid="ref-39-e349" ref-type="bibr">39</xref>), in the early stages of erosion, the depth of chloride penetration is associated with minor cracks formed between the PVA fiber structure and early hydration products. The minimal presence of microcracks resulting from specimen erosion leads to insignificant variations in chloride penetration for F12-0.25 after erosion periods of 28 and 56 days. Additionally, concerning the influence of time on chloride ion penetration, the depth of chloride penetration after an 84 days drying-wetting cycle is comparable to that after a 112-day cycle. This suggests that the temporal factor becomes less critical once the drying-wetting cycle exceeds a certain duration in this study.</p>
            </sec>
            <sec id="sec-20-e349">
               <label>3.4.2.</label>
               <title>
                  <italic toggle="yes">Chloride penetration profiles</italic>
               </title>
               <p>The chloride content distribution of PVA-FRC at three cyclic times in terms of 28, 56 and 112 days is depicted, as shown in <xref rid="fig-12-e349" ref-type="fig">Figure 12</xref>. The relationship between chloride content and depth, as shown in the as shown in figure <xref rid="fig-12-e349" ref-type="fig">12</xref>(b), is non-linear, influenced by the concentration gradient and capillary action, as noted in references (<xref rid="ref-40-e349" ref-type="bibr">40</xref>, <xref rid="ref-41-e349" ref-type="bibr">41</xref>). It is observed that the maximum chloride content does not coincide with the deepest point of chloride penetration. Instead, chloride content increases with penetration depth up to a peak point and then decreases beyond this point.</p>
               <fig id="fig-12-e349" position="float" orientation="portrait">
                  <label>Figure 12</label>
                  <caption>
                     <title>The chloride content distribution after cycles: (a) 28 d; (b) 56 d; (c) 112 d.</title>
                  </caption>
                  <graphic id="gra-12-e349"
                           xlink:href="a06d88bdedaf4f84b0a6e343c0ff7be9_015.png"
                           position="anchor"
                           orientation="portrait"/>
               </fig>
               <p>It is worth noting that after 112 days of cyclic service, the depth of the free chloride content is generally stabilized at 15 mm. At this depth, the free chloride ion concentrations in NC, F12-0.05, F12-0.15, and F12-0.25 are 0.049&#x0025;, 0.052&#x0025;, 0.05&#x0025;, and 0.041&#x0025;, respectively. Notably, the highest concentration of free chloride ions is found at 3.5 mm after the 112-day period. The phenomenon that the maximum free chloride proportions appear at a certain depth in the specimen is called the wick effect (<xref rid="ref-42-e349" ref-type="bibr">42</xref>). Clearly, the content of chloride ions and their penetration depth tend to decrease with increasing amounts of fiber in the concrete. The lowest peak chloride content is observed when the PVA fiber dosage is 0.25&#x0025;, whereas the highest is at a dosage of 0.15&#x0025; as shown in figure <xref rid="fig-12-e349" ref-type="fig">12</xref>(a). This indicates that an optimal amount of fiber in the concrete can hinder chloride diffusion. Additionally, the different curves eventually align nearly parallel, suggesting that a higher fiber content does not alter the primary ion transport mechanism. This observation aligns with findings reported by Liu (<xref rid="ref-43-e349" ref-type="bibr">43</xref>).</p>
            </sec>
            <sec id="sec-21-e349">
               <label>3.4.3.</label>
               <title>
                  <italic toggle="yes">Coefficient of chloride diffusion</italic>
               </title>
               <p>According to the experimental results, the apparent chloride diffusion coefficients (D) of NC and 12 mm series specimen are calculated, which can be seen from <xref rid="fig-13-e349" ref-type="fig">Figure 13</xref>.</p>
               <fig id="fig-13-e349" position="float" orientation="portrait">
                  <label>Figure 13</label>
                  <caption>
                     <title>The coefficient of chloride diffusion in specimens.</title>
                  </caption>
                  <graphic id="gra-13-e349"
                           xlink:href="a06d88bdedaf4f84b0a6e343c0ff7be9_016.png"
                           position="anchor"
                           orientation="portrait"/>
               </fig>
               <p>At the same erosion duration, the coefficient of chloride diffusion in NC is higher, compared to fiber concrete. The specimens with 0.25&#x0025; fiber content show a diffusion coefficient that is 20.6-43.3&#x0025; lower than those with 0.05&#x0025; fiber content. F12-0.15 showed the highest chloride ion diffusion coefficient. This result is likely due to the highest air content and the largest pore structure at this fiber dosage. NMR analysis further confirms this finding. As shown in <xref rid="fig-15-e349" ref-type="fig">Figure 15</xref>(b), the total peak area is largest in the 0.15&#x0025; series compared to other dosages, indicating increased porosity. F12-0.25 has the lowest value of the coefficient, which grabs the best chloride penetration resistance. It can be explained that D may depend on matrix cracking resistance as an utmost index of anti-cracking (η) elaborating in section Cracking resistance. In addition, this may be attributed to highly dense matrix with improved pore structure.</p>
               <fig id="fig-15-e349" position="float" orientation="portrait">
                  <label>Figure 15</label>
                  <caption>
                     <title>The area distribution of T<sub>2</sub> spectrum curves: (a) proportion of the first signal peak; (b) total area of peak.</title>
                  </caption>
                  <graphic id="gra-15-e349"
                           xlink:href="a06d88bdedaf4f84b0a6e343c0ff7be9_018.png"
                           position="anchor"
                           orientation="portrait"/>
               </fig>
            </sec>
         </sec>
         <sec id="sec-22-e349">
            <label>3.5.</label>
            <title>
               <italic toggle="yes">NMR</italic>
            </title>
            <p>NMR techniques are sensitive enough to distinguish between different proton populations in concrete (<xref rid="ref-44-e349" ref-type="bibr">44</xref>). Free water in the inner concrete typically resides in air voids and cracks, while bound water is found in the capillary pores within the concrete. Consequently, NMR techniques can be employed to analyze the porosity of selected samples using T<sub>2</sub> spectrum curves.</p>
            <p>The curves with various PVA fiber dosages and length are shown in <xref rid="fig-14-e349" ref-type="fig">Figure 14</xref>. For each PVA-FRC and NC, three signal peaks are basically displayed by T<sub>2</sub>, except F18-0.05 with two peaks. The first signal peak occupies the mainly dominant position. Specifically, the first peak signal changes from 0.01 to 0.1, namely, two orders of magnitude of distribution. Particularly, at 0.25&#x0025; dosage of PVA fiber, the emergence time of T<sub>2</sub> spectrum curve is earlier and the distributions of main signal peak are narrower with respect to the other group specimens. The above all indicates that the pores in the interior region of the concrete are mainly micro-pores (<xref rid="ref-45-e349" ref-type="bibr">45</xref>), in this investigation.</p>
            <fig id="fig-14-e349" position="float" orientation="portrait">
               <label>Figure 14</label>
               <caption>
                  <title>T<sub>2</sub> spectrum curves of specimens: (a) 12 mm series (b) 18 mm series.</title>
               </caption>
               <graphic id="gra-14-e349"
                        xlink:href="a06d88bdedaf4f84b0a6e343c0ff7be9_017.png"
                        position="anchor"
                        orientation="portrait"/>
            </fig>
            <p>The existence of porosity can be characterized by integrating the T<sub>2</sub> curve. To facilitate the comparation, the total area of peak of various specimens are normalized with the NC in <xref rid="fig-15-e349" ref-type="fig">Figure 15</xref>. Adding 0.05&#x0025; and 0.15&#x0025; to mixture, the content of small pores (i.e. the area of the main peak) is positively correlated with fiber dosage. Based on low dosage fiber, 18 mm PVA fiber plays a marginally negative role in the first signal peak area. The similar phenomenon also can be seen at specimens incorporating 12 mm PVA fiber. The negligible alteration in the peak area of F18-0.05 and F12-0.05 can also serve as an additional explanation for the absence of notable changes in 3.2. flexural strength. It is differential in relatively higher dosage groups. Adding 0.25&#x0025; to mixture, the better performance of PVA-FRC is explained by T<sub>2</sub> spectrum in consideration of the total areas and signal peak ratio. The proportion of first signal peak and the total area of peak, regardless of PVA fiber length both undergo optimization. Compared to NC, F12-0.25 and F18-0.25 show improvements of 9.31&#x0025; and 4.65&#x0025;, as well as 54.61&#x0025; and 35.25&#x0025; in two parameters, respectively. This is a plausible explanation as to why the erosive properties of chlorine salts have increased with the addition of fibers. The refinement of the porosity, a declined total peak area and a ratio of first signal peak, can be observed.</p>
         </sec>
         <sec id="sec-23-e349">
            <label>3.6.</label>
            <title>
               <italic toggle="yes">SEM</italic>
            </title>
            <p>As the <xref rid="fig-16-e349" ref-type="fig">Figure 16</xref> shown, PVA fiber tends to locally act as reinforcement through anchorage and confinement, and it possesses a rough surface. Moreover, the fiber plays a crucial role in the bridging mechanism, which helps impede the propagation of cracks. With a moderate dosage of PVA fiber, enhanced strength properties can be achieved due to the reduction in internal defects, as confirmed by the SEM image (<xref rid="fig-16-e349" ref-type="fig">Figure 16</xref>(b)). The process of fiber bridging and deflection contributes positively to improved mechanical properties and energy dissipation (<xref rid="ref-46-e349" ref-type="bibr">46</xref>). Additionally, due to the hydroxyl group on the molecular chain, the PVA fiber acts as nucleus on which the hydrated production could grow (<xref rid="ref-47-e349" ref-type="bibr">47</xref>). This interaction can be clearly seen in the way fibers are embedded within the matrix, enhancing the bonding between the surrounding mortar and the fibers, as visualized in (<xref rid="ref-48-e349" ref-type="bibr">48</xref>). These characteristics yield significant effect to present better mechanical properties and durability performances.</p>
            <fig id="fig-16-e349" position="float" orientation="portrait">
               <label>Figure 16</label>
               <caption>
                  <title>(a) The rough surface, (b) The bridge performance of the crack and PVA fiber, (c) Randomly distributed fibers in concrete, (d) Bonding between fiber and hydration products.</title>
               </caption>
               <graphic id="gra-16-e349"
                        xlink:href="a06d88bdedaf4f84b0a6e343c0ff7be9_019.png"
                        position="anchor"
                        orientation="portrait"/>
            </fig>
         </sec>
      </sec>
      <sec sec-type="conclusions" id="sec-24-e349">
         <label>4.</label>
         <title>CONCLUSIONS</title>
         <p>The study conducted investigated the mechanical characteristics, cracking resistance, and chloride diffusion performance of PVA-FRC, taking into account variations in PVA fiber dosage and length. The conclusions are summarized as follows:</p>
         <list id="lst-1-e349" list-type="order">
            <list-item>
               <p>Incorporation of PVA fiber reduces workability of the concrete, significantly decreasing the slump value compared to normal concrete. Longer fibers at a volume fraction of 0.25&#x0025; exacerbate this reduction in workability.</p>
            </list-item>
            <list-item>
               <p>PVA fiber significantly enhances the flexural strength of concrete. The optimal flexural performance is achieved with fibers measuring 18 mm in length at a 0.25&#x0025; volume fraction, where strength is 1.324 times that of normal concrete (NC). Fiber length influences flexural strength more markedly than fiber dosage.</p>
            </list-item>
            <list-item>
               <p>PVA fiber with a length of 12 mm demonstrates superior performance in reducing crack dimensions, such as maximum width and length, and total crack area, compared to fibers of 8 mm and 18 mm lengths. Relative to NC, the maximum improvements in crack resistance parameters with 12 mm fibers are 96.1&#x0025;, 93.1&#x0025;, and 92&#x0025;, respectively.</p>
            </list-item>
            <list-item>
               <p>PVA fiber contributes to enhancing concrete&#x0027;s resistance against chloride ion penetration. The depth of chloride penetration stabilizes after a duration of 112 days, showing consistent results at earlier time points (28 and 56 days).</p>
            </list-item>
            <list-item>
               <p>Increasing the dosage of fibers optimizes the proportion of the first signal peak and the total peak area in measured results, regardless of the fiber length. Notably, with dosages of 0.25&#x0025;, fibers of 12 mm and 18 mm lengths show improvements of 9.31&#x0025; and 4.65&#x0025; in the first peak, and 54.61&#x0025; and 35.25&#x0025; in the total peak area, respectively.</p>
            </list-item>
            <list-item>
               <p>After a comprehensive evaluation of durability and mechanical properties, the study recommends a PVA-FRC mixture with 0.25&#x0025; fiber dosage and 12 mm fiber length. This formulation is suggested for further applications due to its optimized performance characteristics.</p>
            </list-item>
         </list>
      </sec>
   </body>
   <back>
      <ack id="ack-1-e349">
         <title>Acknowledgments</title>
         <p>The authors are grateful for the contribution of the Hohai university and Inner Mongolia University of Science ＆ Technology.</p>
      </ack>
      <sec sec-type="author-contributions" id="sec-25-e349">
         <title>Authorship contribution statement</title>
         <p>
            <bold>Wei Chen:</bold> Data Curation, Formal analysis, Investigation, Methodology, Resources, Software, Validation, Visualization, Writing-original draft, Writing-review &#x0026; editing.</p>
         <p>
            <bold>Yang Wen:</bold> Conceptualization, Funding acquisition, Methodology, Project administration, Resources, Supervision, Validation.</p>
         <p>
            <bold>Da Chen:</bold> Conceptualization, Funding acquisition, Methodology, Project administration, Resources, Supervision, Validation, Writing-original draft, Writing-review &#x0026; editing.</p>
         <p>
            <bold>Yingdi Liao:</bold> Formal analysis, Funding acquisition, Investigation, Resources, Visualization, Writing-original draft, Writing-review &#x0026; editing</p>
      </sec>
      <sec sec-type="transparency-statement" id="sec-26-e349">
         <title>Declaration of competing interest</title>
         <p>The authors of this article declare that they have no financial, professional or personal conflicts of in-terest that could have inappropriately influenced this work.</p>
      </sec>
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