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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mater.</journal-id>
<journal-title>Frontiers in Materials</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mater.</abbrev-journal-title>
<issn pub-type="epub">2296-8016</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1474315</article-id>
<article-id pub-id-type="doi">10.3389/fmats.2024.1474315</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Materials</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Study on microstructure and mechanical properties of steel corrosion products in marine environment</article-title>
<alt-title alt-title-type="left-running-head">Tang et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fmats.2024.1474315">10.3389/fmats.2024.1474315</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Tang</surname>
<given-names>Bowen</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2806784/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Wei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yang</surname>
<given-names>Haicheng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zhu</surname>
<given-names>Haiwei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/resources/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
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</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>China Communications Construction Company Limited, Fourth Harbor Engineering Institute Co., Ltd.</institution>, <addr-line>Guangzhou</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Key Laboratory of Construction Material</institution>, <institution>China Communications Construction Company Limited</institution>, <addr-line>Guangzhou</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Key Laboratory of Harbor and Marine Structure Durablity Technology</institution>, <institution>Ministry of Transport of PRC</institution>, <addr-line>Guangzhou</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Observation and Research Base of Transport Industry of Long-term Performances of Marine Infrastructure</institution>, <institution>Ministry of Transport</institution>, <addr-line>Guangzhou</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/797025/overview">Facundo Almeraya-Calder&#xf3;n</ext-link>, Autonomous University of Nuevo Le&#xf3;n, Mexico</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1684489/overview">Tezozomoc P&#xe9;rez L&#xf3;pez</ext-link>, Autonomous University of Campeche, Mexico</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2810820/overview">Gerardo Fajardo-San-Miguel</ext-link>, Universidad Aut&#xf3;noma de Nuevo Le&#xf3;n - Facultad de Ingenier&#xed;a Civil, FIC-UANL, Mexico</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Haiwei Zhu, <email>2023005501@ccccltd.cn</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>23</day>
<month>09</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>11</volume>
<elocation-id>1474315</elocation-id>
<history>
<date date-type="received">
<day>02</day>
<month>08</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>30</day>
<month>08</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Tang, Wang, Yang and Zhu.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Tang, Wang, Yang and Zhu</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>The microstructure and mechanical properties of steel corrosion products in marine environment are key parameters for developing the concrete corrosion-induced model. In this study, steel corrosion products from steel plates, concrete specimens with 10 mm and 20 mm covers, and cracked beams in Zhejiang province were sampled and analyzed. Initially, the microstructure of the steel corrosion products were determined by X-ray diffractometry (XRD), thermogravimetric analysis (TG), scanning electron microscopy (SEM), and energy-dispersive spectrometry (EDS). Subsequently, the mechanical properties of steel corrosion products including nanoindentation elastic modulus, hardness and instantaneous elastic modulus were measured by nanoindentation and consolidation experiments. This study holds potential for establishing the concrete corrosion-induced model and assessment of the concrete structure durability in marine environment.</p>
</abstract>
<abstract abstract-type="graphical">
<title>Graphical Abstract</title>
<p>
<graphic xlink:href="FMATS_fmats-2024-1474315_wc_abs.tif" position="anchor"/>
</p>
</abstract>
<kwd-group>
<kwd>marine environment</kwd>
<kwd>steel corrosion products</kwd>
<kwd>microstructure</kwd>
<kwd>mechanical property</kwd>
<kwd>corrosion-induced cracking model</kwd>
</kwd-group>
<contract-sponsor id="cn001">National Key Research and Development Program of China<named-content content-type="fundref-id">10.13039/501100012166</named-content>
</contract-sponsor>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Environmental Degradation of Materials</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Corrosion-induced cracking is the main cause of concrete structure durability failure in marine environment (<xref ref-type="bibr" rid="B22">Shang et al., 2021a</xref>; <xref ref-type="bibr" rid="B29">Xing et al., 2024</xref>; <xref ref-type="bibr" rid="B23">Shang et al., 2021b</xref>). Corrosion products of steel, such as Fe&#x2083;O&#x2084; and Fe&#x2082;O&#x2083;, exert expansive forces on the surrounding concrete, causing it to crack when these forces reach a critical threshold. After the concrete cover cracks, corrosive mediums in the marine environment penetrate the concrete interior, accelerating steel corrosion and leading to rapid deterioration of the concrete structure (<xref ref-type="bibr" rid="B27">Vera et al., 2009</xref>; <xref ref-type="bibr" rid="B25">Sola et al., 2019</xref>; <xref ref-type="bibr" rid="B39">Zhu et al., 2023</xref>). Therefore, corrosion-induced cracking of the concrete cover marks a pivotal phase in concrete structure durability decline, indicating the concrete&#x2019;s durability threshold (<xref ref-type="bibr" rid="B32">Xu et al., 2024a</xref>; <xref ref-type="bibr" rid="B38">Zhang et al., 2023</xref>; <xref ref-type="bibr" rid="B2">Chen et al., 2021</xref>; <xref ref-type="bibr" rid="B1">Cao et al., 2020</xref>).</p>
<p>Numerous studies have been conducted to analyze steel corrosion products and develop the concrete corrosion-induced cracking model (<xref ref-type="bibr" rid="B3">Dong et al., 2023</xref>; <xref ref-type="bibr" rid="B14">Kun et al., 2019</xref>; <xref ref-type="bibr" rid="B11">Jin et al., 2020</xref>). Most current studies on steel corrosion products are based on accelerated experiments in laboratory to shorten the experimental period. However, the composition, structure, and mechanical properties of corrosion products in marine environments differ from those in accelerated experiments (<xref ref-type="bibr" rid="B9">He, 2021</xref>; <xref ref-type="bibr" rid="B36">Yuxi, 2013</xref>; <xref ref-type="bibr" rid="B18">Otieno et al., 2016a</xref>). Specifically, corrosion products in natural environment are predominantly trivalent iron products, while accelerated experiments typically result in a mixture of divalent and trivalent iron products (<xref ref-type="bibr" rid="B24">Sola et al., 2016</xref>; <xref ref-type="bibr" rid="B4">Du et al., 2020</xref>; <xref ref-type="bibr" rid="B19">Otieno et al., 2016b</xref>; <xref ref-type="bibr" rid="B10">Ibrahimi et al., 2021</xref>). Additionally, corrosion products in natural environment are denser compared to those from accelerated experiments (<xref ref-type="bibr" rid="B37">Yuxi and Ren, 2010</xref>; <xref ref-type="bibr" rid="B21">Ren, 2010</xref>; <xref ref-type="bibr" rid="B16">Liu et al., 2023</xref>; <xref ref-type="bibr" rid="B20">Poupard et al., 2006</xref>). Therefore, it is essential to determine the microstructure and mechanical properties of corrosion products in natural environment for developing a concrete corrosion-induced cracking model applicable to marine environment. However, concrete cover cracking due to steel corrosion can take several decades in marine environments, making it challenging to obtain steel corrosion products (<xref ref-type="bibr" rid="B33">Xu et al., 2024b</xref>; <xref ref-type="bibr" rid="B15">Leung, 2001</xref>).</p>
<p>In this study, corrosion products derived from steel plates, concrete specimens with 10 mm and 20 mm covers, and cracked beams in Zhejiang province were sampled and analyzed. First, the microstructure of the corrosion products was determined by X-ray diffractometry (XRD), thermogravimetric analysis (TG), scanning electron microscopy (SEM), and energy-dispersive spectrometry (EDS). Secondly, the mechanical properties of corrosion products, including nanoindentation elastic modulus, hardness, and instantaneous elastic modulus, were measured by nanoindentation and consolidation experiments. This study holds potential for developing the concrete corrosion-induced cracking model and assessing the durability of concrete structures in marine environment.</p>
</sec>
<sec id="s2">
<title>2 Experiment procedure</title>
<sec id="s2-1">
<title>2.1 Corrosion products sampling</title>
<p>To determine the microstructure and mechanical properties of corrosion products in marine environment, samples were collected and analyzed based on the Observation and Research Base of Transport Industry of Long-term Performances of Marine Infrastructure (the Field Observation Base) and cracked beams in Zhejiang province. Specifically, sample A and sample B were derived from steel plates and concrete specimens with 10 mm and 20 mm covers in the Field Observation Base, respectively. Sample C was from the cracked beams in Zhejiang province. In addition, the steel plates, concrete specimens and cracked beams were exposed in the splash zone and the steel type employed was HRB300 with ASTM A615 Grade 60. The basic information of corrosion products is shown in <xref ref-type="table" rid="T1">Table 1</xref>. The sources and samples of corrosion products are depicted in <xref ref-type="fig" rid="F1">Figures 1</xref>, <xref ref-type="fig" rid="F2">2</xref>, respectively.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Basic information of corrosion products.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Sample</th>
<th align="center">Source</th>
<th align="center">Exposure time</th>
<th align="center">Corrosion environment</th>
<th align="center">Steel type</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">A</td>
<td align="center">Steel plates</td>
<td align="center">15 years</td>
<td align="center">Splash zone</td>
<td align="center">HRB300 (ASTM A615 Grade 60)</td>
</tr>
<tr>
<td align="center">B<sub>1</sub>
</td>
<td align="center">Concrete specimens with 20 mm cover</td>
<td align="center">15 years</td>
<td align="center">Splash zone</td>
<td align="center">HRB300 (ASTM A615 Grade 60)</td>
</tr>
<tr>
<td align="center">B<sub>2</sub>
</td>
<td align="center">Concrete specimens with 10 mm cover</td>
<td align="center">15 years</td>
<td align="center">Splash zone</td>
<td align="center">HRB300 (ASTM A615 Grade 60)</td>
</tr>
<tr>
<td align="center">C</td>
<td align="center">Cracked beams in Zhejiang province</td>
<td align="center">30 years</td>
<td align="center">Splash zone</td>
<td align="center">HRB300 (ASTM A615 Grade 60)</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Sources of corrosion products. <bold>(A)</bold> Steel plates <bold>(B)</bold> Concrete specimens with 20 mm cover <bold>(C)</bold> Concrete specimens with 10 mm cover <bold>(D)</bold> Cracked beams in Zhejiang province.</p>
</caption>
<graphic xlink:href="fmats-11-1474315-g001.tif"/>
</fig>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Corrosion product samples. <bold>(A)</bold> Sample A <bold>(B)</bold> Sample B<sub>1</sub> <bold>(C)</bold> Sample B<sub>2</sub> <bold>(D)</bold> Sample C.</p>
</caption>
<graphic xlink:href="fmats-11-1474315-g002.tif"/>
</fig>
</sec>
<sec id="s2-2">
<title>2.2 Experiment methods</title>
<sec id="s2-2-1">
<title>2.2.1 Microstructural characterization</title>
<p>The chemical compositions of corrosion products were determined by XRD. The XRD was operated with a scan range of 5&#xb0;&#x2013;80&#xb0;, a step size of 0.02&#xb0;, and a scan speed of 4&#xb0;/min. TG was employed to measure the mass ratio of chemical components in the corrosion products. During measurement, the temperature was increased from 30&#xb0;C to 900&#xb0;C under a nitrogen atmosphere at a rate of 10 &#xb0;C/min. Besides, the microscopic morphology and element composition of corrosion products were analyzed by SEM and EDS, respectively. The SEM was operated with a voltage of 20 kV and a magnification of &#xd7;300.</p>
</sec>
<sec id="s2-2-2">
<title>2.2.2 Nanoindentation experiment</title>
<p>Epoxy resin was used to fix the corrosion products and the nanoindentation experiment was conducted after polishing the sample. The schematic representation of an indentation experiment and a typical load-indentation depth (<italic>P&#x2013;h</italic>) curve are shown in <xref ref-type="fig" rid="F3">Figure 3</xref> (<xref ref-type="bibr" rid="B34">Yan et al., 2012</xref>). Based on the Oliver&#x2013;Pharr indentation method (<xref ref-type="bibr" rid="B13">Kossman et al., 2017</xref>; <xref ref-type="bibr" rid="B12">Kan et al., 2013</xref>), the effective elastic modulus (<italic>E</italic>
<sub>
<italic>eff</italic>
</sub>), elastic modulus (<italic>E</italic>), and nanoindentation hardness of the corrosion products can be obtained according to <xref ref-type="disp-formula" rid="e1">Equations 1</xref>&#x2013;<xref ref-type="disp-formula" rid="e3">3</xref>.<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>f</mml:mi>
<mml:mi>f</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msqrt>
<mml:mi>&#x3c0;</mml:mi>
</mml:msqrt>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfrac>
<mml:mfrac>
<mml:mrow>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msqrt>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:msqrt>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>f</mml:mi>
<mml:mi>f</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mi>v</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
<mml:mi>E</mml:mi>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>
<bold>(A)</bold> A typical <italic>P&#x2013;h</italic> curve <bold>(B)</bold> Schematic representation of an indentation experiment (<xref ref-type="bibr" rid="B34">Yan et al., 2012</xref>)</p>
</caption>
<graphic xlink:href="fmats-11-1474315-g003.tif"/>
</fig>
<p>Where <italic>S</italic> represents the contact stiffness of materials, <italic>Ac</italic> is the indentation projected area. <italic>E</italic> and <italic>&#x3c5;</italic> are the elastic modulus and Poisson&#x2019;s ratio of materials, respectively. And the Poisson&#x2019;s ratio of steel corrosion products is 0.25 (<xref ref-type="bibr" rid="B35">Xu et al., 2020</xref>; <xref ref-type="bibr" rid="B30">Xu et al., 2014</xref>). <italic>E</italic>
<sub>
<italic>i</italic>
</sub> (1,141 GPa) and <italic>v</italic>
<sub>
<italic>i</italic>
</sub> (0.07) are the elastic modulus and Poisson&#x2019;s ratio of the diamond indenter, respectively. <italic>H</italic> is the nanoindentation hardness.</p>
</sec>
<sec id="s2.2.3">
<title>2.2.3 Standard consolidation test</title>
<p>The standard consolidation test was conducted according to the Standard for Geotechnical Test Methods (GB/T 50,123&#x2013;2019) (<xref ref-type="bibr" rid="B7">GB/T 50123-2019, 2019</xref>). Prior to loading, the corrosion products were pre-treated by manual crushing with a hammer, followed by sieving through 0.075 mm and 0.3 mm mesh screens to obtain particles sized between 0.075 mm and 0.3 mm. This pre-treatment ensured that the corrosion products were within the desired particle size range before the experiment. During the test, a graded loading sequence was applied, with pressures of 12.5 kPa, 25 kPa, 100 kPa, 200 kPa, 400 kPa, 800 kPa, and 1,600 kPa, each maintained for 30 min. The setup for the standard consolidation experiment is illustrated in <xref ref-type="fig" rid="F4">Figure 4</xref>.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Standard consolidation experiment setup.</p>
</caption>
<graphic xlink:href="fmats-11-1474315-g004.tif"/>
</fig>
</sec>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>3 Results and discussion</title>
<sec id="s3-1">
<title>3.1 XRD</title>
<p>The XRD patterns of the corrosion products of steel are shown in <xref ref-type="fig" rid="F5">Figure 5</xref>. Only the peaks related to the steel corrosion products are labelled. It can be observed that the main components of corrosion products from steel plates include &#x3b1;-FeOOH, &#x3b3;-FeOOH, Fe&#x2083;O&#x2084;, and Fe&#x2082;O&#x2083;. The main components of corrosion products from the concrete specimens and cracked beams include &#x3b1;-FeOOH, Fe&#x2083;O&#x2084;, and Fe&#x2082;O&#x2083;. &#x3b3;-FeOOH is a transitional hydroxyl oxide of the more stable &#x3b1;-FeOOH (<xref ref-type="bibr" rid="B28">Wang et al., 2019</xref>; <xref ref-type="bibr" rid="B8">Gu et al., 2019</xref>; <xref ref-type="bibr" rid="B5">Duff&#xf3; et al., 2004</xref>; <xref ref-type="bibr" rid="B6">Feng et al., 2015</xref>). Additionally, SiO&#x2082; peaks appear in the corrosion products from the concrete specimens and cracked beams, but generally disappear in the steel plate corrosion products. This might be attributed to the penetration of soluble cement paste from concrete into the corrosion products. In conclusion, the main components of corrosion products are oxides and hydroxyl oxides of iron.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p> XRD patterns of corrosion products. <bold>(A)</bold> Sample A <bold>(B)</bold> Sample B<sub>1</sub> <bold>(C)</bold> Sample B<sub>2</sub> <bold>(D)</bold> Sample C.</p>
</caption>
<graphic xlink:href="fmats-11-1474315-g005.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 TG</title>
<p>The mass ratios of corrosion product components were determined by TG. And the obtained TG and Derivative thermal gravimetric (DTG) curves of corrosion product are depicted in <xref ref-type="fig" rid="F6">Figure 6</xref>. In the DTG curve, the peak at 30&#xb0;C&#x2013;200&#xb0;C represents the water evaporation while the peak at 200&#xb0;C&#x2013;500&#xb0;C corresponds to the dehydration of FeOOH, as shown in <xref ref-type="disp-formula" rid="e4">Equation 4</xref> (<xref ref-type="bibr" rid="B31">Xu et al., 2017</xref>; <xref ref-type="bibr" rid="B17">Melchers, 2023</xref>).<disp-formula id="e4">
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</disp-formula>
</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p> TG and DTG curves of corrosion products. <bold>(A)</bold> Sample A <bold>(B)</bold> Sample B<sub>1</sub> <bold>(C)</bold> Sample B<sub>2</sub> <bold>(D)</bold> Sample C.</p>
</caption>
<graphic xlink:href="fmats-11-1474315-g006.tif"/>
</fig>
<p>With reference to the corresponding TG curves, the mass loss due to the dehydration of FeOOH can be obtained, and the quantity of oxides and hydroxyl hydroxides in the corrosion products can be determined, as shown in <xref ref-type="fig" rid="F7">Figure 7</xref>. It can be seen that the mass ratio of hydroxyl oxides in B<sub>1</sub>, B<sub>2</sub>, C, and A increases in order, while the mass ratio of oxides decreases in order correspondingly.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Hydroxyl oxides and oxides mass ratio of corrosion products.</p>
</caption>
<graphic xlink:href="fmats-11-1474315-g007.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>3.3 Volume expansion coefficient of corrosion products</title>
<p>Based on the XRD analysis, it can be seen that the main components of corrosion products include oxides and hydroxyl oxides of iron. To determine the volume expansion coefficient of the corrosion products, it is necessary to calculate the volume expansion coefficients of each corrosion product component. These coefficients can be measured based on the density and molar mass of the components.</p>
<p>For example, the density and molar mass of Fe<sub>2</sub>O<sub>3</sub> are 5.25 g/cm<sup>3</sup> and 160 g/mol, respectively.</p>
<p>Since 1 mol of Fe can be oxidized to 1/2 mol of Fe&#x2082;O&#x2083;, the mass of the corrosion product increases to 1.43 times the original mass of Fe. The volume expansion coefficient of Fe&#x2082;O&#x2083; can be determined by <xref ref-type="disp-formula" rid="e5">Equation 5</xref>. Similarly, the volume expansion coefficients of other corrosion product components can be obtained, as shown in <xref ref-type="fig" rid="F8">Figure 8</xref>.<disp-formula id="e5">
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<label>(5)</label>
</disp-formula>
</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Volume expansion coefficient of corrosion product components.</p>
</caption>
<graphic xlink:href="fmats-11-1474315-g008.tif"/>
</fig>
<p>From <xref ref-type="fig" rid="F8">Figure 8</xref>, it can be seen that the volume expansion coefficients of Fe<sub>3</sub>O<sub>4</sub> and Fe<sub>2</sub>O<sub>3</sub>, &#x3b1;-FeOOH and &#x3b3;-FeOOH are close to each other. The average volume expansion coefficients of Fe<sub>3</sub>O<sub>4</sub> and Fe<sub>2</sub>O<sub>3</sub>, &#x3b1;-FeOOH and &#x3b3;-FeOOH can be used to represent the volume expansion coefficients of oxides and hydroxyl oxides in corrosion products, respectively. Therefore, the volume expansion coefficients of corrosion products can be determined according to <xref ref-type="disp-formula" rid="e6">Equation 6</xref>, as shown in <xref ref-type="fig" rid="F9">Figure 9</xref>.<disp-formula id="e6">
<mml:math id="m6">
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<mml:mi>n</mml:mi>
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<label>(6)</label>
</disp-formula>
</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Volume expansion coefficient of corrosion products.</p>
</caption>
<graphic xlink:href="fmats-11-1474315-g009.tif"/>
</fig>
<p>Where <italic>n</italic> represents the volume expansion coefficient of corrosion product; <italic>a</italic> and <italic>b</italic> represent the mass ratios of oxide and hydroxyl oxide in the corrosion products, respectively; <italic>&#x3b7;</italic>
<sub>
<italic>1</italic>
</sub> and <italic>&#x3b7;</italic>
<sub>
<italic>2</italic>
</sub> represent the volume expansion coefficients of oxides and hydroxyl oxides in the corrosion products, respectively.</p>
<p>From <xref ref-type="fig" rid="F9">Figure 9</xref>, it can be seen that the volume expansion coefficients of B<sub>1</sub>, B<sub>2</sub>, C and A increase in order to 2.19,2.51, 2.59 and 2.68, respectively.</p>
</sec>
<sec id="s3-4">
<title>3.4 SEM and EDS</title>
<p>The SEM images and EDS analysis results of the corrosion products are depicted in <xref ref-type="fig" rid="F10">Figures 10</xref>, <xref ref-type="fig" rid="F11">11</xref>, respectively. It can be observed from <xref ref-type="fig" rid="F10">Figure 10</xref> that the corrosion products are generally rough. Corrosion products from the cracked beams appear looser and exhibit some cracking compared to those from concrete specimens. In addition, corrosion products from the steel plates are noted to be loose and porous.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>SEM images of corrosion products. <bold>(A)</bold> Sample A <bold>(B)</bold> Sample B<sub>1</sub> <bold>(C)</bold> Sample B<sub>2</sub> <bold>(D)</bold> Sample C.</p>
</caption>
<graphic xlink:href="fmats-11-1474315-g010.tif"/>
</fig>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>EDS analysis results of corrosion products. <bold>(A)</bold> Sample A <bold>(B)</bold> Sample B<sub>1</sub> <bold>(C)</bold> Sample B<sub>2</sub> <bold>(D)</bold> Sample C.</p>
</caption>
<graphic xlink:href="fmats-11-1474315-g011.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F11">Figure 11</xref> shows that the Fe/O ratio of corrosion products from sample B<sub>1</sub>, B<sub>2</sub>, C, and A decreases in order. This indicates that the oxygen content of the corrosion products increases in the following order: concrete specimens with 20 mm cover, concrete specimens with 10 mm cover, cracked beams, and steel plates. This trend suggests that the oxidation degrees of these corrosion products increase correspondingly.</p>
<p>The EDS analysis results align with the TG analysis, reinforcing the observations made.</p>
</sec>
<sec id="s3-5">
<title>3.5 Nanoindentation stress-strain curve</title>
<p>The nanoindentation experiment was conducted to determine the mechanical properties of the corrosion products. Six indentation points were used for each corrosion product sample, and the obtained stress-strain curves are shown in <xref ref-type="fig" rid="F12">Figure 12</xref>. It can be observed from <xref ref-type="fig" rid="F12">Figure 12</xref> that the stress-strain curve shapes of different indentation points for corrosion products from steel plates are consistent, indicating that these corrosion products are uniform. Additionally, with the exception of indentation point 5 in sample B<sub>1</sub> and indentation point 4 in sample B<sub>2</sub>, the stress-strain curve shapes for corrosion products from concrete specimens and cracked beams are similar. This similarity demonstrates that the corrosion products from concrete in marine environments are stable and uniform. The obtained nanoindentation stress-strain curves confirm that nanoindentation experiments are a feasible method for measuring the mechanical properties of corrosion products.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Stress-strain curves of corrosion products. <bold>(A)</bold> Sample A <bold>(B)</bold> Sample B<sub>1</sub> <bold>(C)</bold> Sample B<sub>2</sub> <bold>(D)</bold> Sample C.</p>
</caption>
<graphic xlink:href="fmats-11-1474315-g012.tif"/>
</fig>
</sec>
<sec id="s3-6">
<title>3.6 Nanoindentation elastic modulus and hardness</title>
<p>The nanoindentation elastic modulus and hardness of different indentation points for corrosion products are shown in <xref ref-type="table" rid="T2">Table 2</xref>; <xref ref-type="fig" rid="F13">Figure 13</xref>; <xref ref-type="table" rid="T3">Table 3</xref>; <xref ref-type="fig" rid="F14">Figure 14</xref>, respectively. It can be observed from <xref ref-type="table" rid="T2">Table 2</xref>; <xref ref-type="fig" rid="F13">Figure 13</xref> that the average elastic modulus for samples A, B<sub>1</sub>, B<sub>2</sub>, and C are 82.0 GPa, 110.9 GPa, 100.4 GPa, and 83.0 GPa, respectively. Additionally, <xref ref-type="table" rid="T3">Table 3</xref>; <xref ref-type="fig" rid="F14">Figure 14</xref> indicate that the average hardness of samples A, B<sub>1</sub>, B<sub>2</sub>, and C are 0.011 GPa, 0.008 GPa, 0.006 GPa, and 0.006 GPa, respectively.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Elastic modulus of corrosion products/GPa.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Indentation point</th>
<th align="center">A</th>
<th align="center">B1</th>
<th align="center">B2</th>
<th align="center">C</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">1</td>
<td align="center">79.4</td>
<td align="center">152.9</td>
<td align="center">103.3</td>
<td align="center">79.6</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">73.9</td>
<td align="center">163.1</td>
<td align="center">105.6</td>
<td align="center">95.5</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">72.2</td>
<td align="center">100.7</td>
<td align="center">108.5</td>
<td align="center">86.5</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">87.5</td>
<td align="center">104.4</td>
<td align="center">93.9</td>
<td align="center">73.1</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">77.8</td>
<td align="center">61.6</td>
<td align="center">99.4</td>
<td align="center">74.8</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">101.0</td>
<td align="center">82.8</td>
<td align="center">91.7</td>
<td align="center">88.2</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>Elastic modulus of corrosion products.</p>
</caption>
<graphic xlink:href="fmats-11-1474315-g013.tif"/>
</fig>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Hardness of corrosion products/GPa.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Indentation point</th>
<th align="center">A</th>
<th align="center">B1</th>
<th align="center">B2</th>
<th align="center">C</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">1</td>
<td align="center">0.012</td>
<td align="center">0.013</td>
<td align="center">0.006</td>
<td align="center">0.007</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">0.010</td>
<td align="center">0.012</td>
<td align="center">0.007</td>
<td align="center">0.009</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">0.008</td>
<td align="center">0.006</td>
<td align="center">0.007</td>
<td align="center">0.007</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">0.012</td>
<td align="center">0.007</td>
<td align="center">0.005</td>
<td align="center">0.005</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">0.009</td>
<td align="center">0.002</td>
<td align="center">0.007</td>
<td align="center">0.004</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">0.013</td>
<td align="center">0.006</td>
<td align="center">0.003</td>
<td align="center">0.006</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F14" position="float">
<label>FIGURE 14</label>
<caption>
<p>Hardness of corrosion products.</p>
</caption>
<graphic xlink:href="fmats-11-1474315-g014.tif"/>
</fig>
<p>The variation in elastic modulus of corrosion products is attributed to different corrosion rates and corrosion spaces. Specifically, concrete specimens are small and less affected by loading and cracking. The steel corrosion rate in these specimens is low. Furthermore, the limited corrosion space results in high corrosion expansion force, leading to stable, dense corrosion products with a higher elastic modulus.</p>
<p>In contrast, the cracked beams have several cracks, providing ample oxygen and space for the steel corrosion process. Consequently, the corrosion rate is relatively high, and the corrosion expansion force is relatively low, resulting in looser corrosion products with a lower elastic modulus compared to those from concrete specimens. For steel plates without concrete cover, the corrosion rate is high, and the corrosion space is sufficient, indicating a lower corrosion expansion force. Thus, the corrosion products from steel plates are looser and exhibit a lower elastic modulus compared to those from other sources.</p>
<p>In conclusion, the corrosion rate of concrete structures in marine environments is low, and the corrosion space is limited. Additionally, the high corrosion expansion force leads to dense corrosion products. The elastic modulus of corrosion products from concrete ranges from 70 to 110 GPa, while the hardness ranges from 0.002 to 0.013 GPa.</p>
</sec>
<sec id="s3-7">
<title>3.7 Standard consolidation test analysis</title>
<p>The pressure and height (P-h) curves of corrosion products obtained from the standard consolidation test are shown in <xref ref-type="fig" rid="F15">Figure 15</xref>. During the measurement, graded pressures were applied, and the load remained stable at each grade. When the pressure was stable, the corrosion products could be approximated as linear elastic bodies and the instantaneous elastic modulus can be obtained. The instantaneous elastic modulus of the corrosion products was calculated using Hertz elastic contact theory, as shown in <xref ref-type="disp-formula" rid="e7">Equations 7</xref>, <xref ref-type="disp-formula" rid="e8">8</xref> (<xref ref-type="bibr" rid="B26">Sorelli et al., 2008</xref>).<disp-formula id="e7">
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<label>(7)</label>
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<label>(8)</label>
</disp-formula>
</p>
<fig id="F15" position="float">
<label>FIGURE 15</label>
<caption>
<p>P-h curves for standard consolidation test.</p>
</caption>
<graphic xlink:href="fmats-11-1474315-g015.tif"/>
</fig>
<p>Where <italic>Fg</italic> is the vertical force applied to the corrosion product particle, <italic>r</italic> is the equivalent radius, <italic>E&#x2a;</italic> is the equivalent elastic modulus, <italic>&#x3b4;</italic> is the vertical deformation, <italic>E</italic> is the instantaneous elastic modulus, and <italic>v</italic> (0.25) is the Poisson&#x2019;s ratio (<xref ref-type="bibr" rid="B30">Xu et al., 2014</xref>).</p>
<p>The instantaneous elastic modulus of samples A and B<sub>1</sub> is shown in <xref ref-type="fig" rid="F16">Figure 16</xref>. It can be observed that the corrosion products do not exhibit purely linear elastic behavior. When the load exceeds 100 kPa, the instantaneous elastic modulus of samples A and B<sub>1</sub> increases with the applied pressure. Additionally, the instantaneous elastic modulus of sample B<sub>1</sub> is higher than that of sample A, with this trend being most pronounced at pressures ranging from 50 to 400 kPa. The difference in instantaneous elastic modulus between samples A and B<sub>1</sub> decreases with increasing pressure. At a pressure of 1,600 kPa, the instantaneous elastic modulus of samples A and B<sub>1</sub> are 149.0 GPa and 127.9 GPa, respectively.</p>
<fig id="F16" position="float">
<label>FIGURE 16</label>
<caption>
<p>Instantaneous elastic modulus of corrosion products.</p>
</caption>
<graphic xlink:href="fmats-11-1474315-g016.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="conclusion" id="s4">
<title>4 Conclusion</title>
<p>In this study, steel corrosion products from steel plates, concrete specimens with 10 mm cover, concrete specimens with 20 mm cover, and cracked beams in Zhejiang Province were sampled. The microstructure of these corrosion products was analyzed by XRD, TG, SEM, and EDS. Additionally, the mechanical properties, including nanoindentation elastic modulus, hardness, and instantaneous elastic modulus, were measured through nanoindentation and consolidation experiments. The following conclusions are drawn from the comprehensive examination:<list list-type="simple">
<list-item>
<p>(1) The main components of steel corrosion products from steel plates include &#x3b1;-FeOOH, &#x3b3;-FeOOH, Fe&#x2083;O&#x2084;, and Fe&#x2082;O&#x2083;. The steel corroison products from concrete specimens and cracked beams mainly consist of &#x3b1;-FeOOH, Fe&#x2083;O&#x2084;, and Fe&#x2082;O&#x2083;.</p>
</list-item>
<list-item>
<p>(2) The volume expansion coefficients of steel corrosion products from the concrete specimens with 20 mm cover, concrete specimens with 10 mm cover, cracked beams and steel plates increase in order.</p>
</list-item>
<list-item>
<p>(3) In marine environment, the corrosion rate of concrete structures is slow, and the corrosion space is limited, resulting in high corrosion expansion force and dense steel corrosion products. Besides, the elastic modulus of corrosion pro</p>
</list-item>
</list>
</p>
<p>ducts from concrete ranges from 70 to 110 GPa, while the hardness ranges from 0.002 to 0.013 GPa.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>BT: Writing&#x2013;original draft, Writing&#x2013;review and editing. WW: Data curation, Project administration, Writing&#x2013;review and editing. HY: Supervision, Writing&#x2013;review and editing. HZ: Funding acquisition, Resources, Writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s7">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. The authors gratefully acknowledge the support of the National Key Research and Development Program of China.</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</title>
<p>Authors BT, WW, HY, and HZ were employed by China Communications Construction Company Limited.</p>
</sec>
<sec sec-type="disclaimer" id="s9">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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