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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mater.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Materials</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mater.</abbrev-journal-title>
</journal-title-group>
<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">1778608</article-id>
<article-id pub-id-type="doi">10.3389/fmats.2026.1778608</article-id>
<article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Fatigue safety estimation of eh690 high-strength steel and welded joints in extreme marine environments</article-title>
<alt-title alt-title-type="left-running-head">Lu 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.2026.1778608">10.3389/fmats.2026.1778608</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Lu</surname>
<given-names>Chengming</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3324168"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; original draft" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-original-draft/">Writing - original draft</role>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Zhengyuan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; original draft" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-original-draft/">Writing - original draft</role>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhao</surname>
<given-names>Yang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; original draft" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-original-draft/">Writing - original draft</role>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Xue</surname>
<given-names>Bingqing</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &#x26; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/">Writing - review and editing</role>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Cheng</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2819478"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Peng</surname>
<given-names>Zhuo</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; original draft" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-original-draft/">Writing - original draft</role>
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</contrib>
</contrib-group>
<aff id="aff1">
<label>1</label>
<institution>Shanghai Branch of CNOOC (China) Co., Ltd.</institution>, <city>Shanghai</city>, <country country="CN">China</country>
</aff>
<aff id="aff2">
<label>2</label>
<institution>School of Civil Engineering and Geomatics, Southwest Petroleum University</institution>, <city>Chengdu</city>, <country country="CN">China</country>
</aff>
<author-notes>
<corresp id="c001">
<label>&#x2a;</label>Correspondence: Chengming Lu, <email xlink:href="mailto:chengminglucnooc@163.com">chengminglucnooc@163.com</email>
</corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-02-25">
<day>25</day>
<month>02</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2026</year>
</pub-date>
<volume>13</volume>
<elocation-id>1778608</elocation-id>
<history>
<date date-type="received">
<day>31</day>
<month>12</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>01</day>
<month>02</month>
<year>2026</year>
</date>
<date date-type="accepted">
<day>10</day>
<month>02</month>
<year>2026</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2026 Lu, Liu, Zhao, Xue, Chen and Peng.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Lu, Liu, Zhao, Xue, Chen and Peng</copyright-holder>
<license>
<ali:license_ref start_date="2026-02-25">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. 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.</license-p>
</license>
</permissions>
<abstract>
<p>This study investigates the EH690 high-strength steel base metal and its welded joints under neutral salt spray tests simulating extreme marine atmospheric conditions. The research systematically examines the evolution of surface morphology under different corrosion durations and its influence on fatigue performance, with the stress concentration factor applied to quantify the effect of corrosion pits. A total of 18 base metal and welded joint specimens were subjected to corrosion exposures of 240, 480, and 960 h. The corrosion behavior was evaluated using mass loss measurement, 3D morphology scanning, and fatigue tests. Results show that with prolonged corrosion time, the surface roughness of the base metal increases significantly, and the fatigue life decreases drastically under high stress ratio. Moreover, at the weld toe, the corrosion notches deepen and the notch radius decreases, leading to aggravated stress concentration and more severe fatigue degradation. Based on experimental data, an S-N prediction model incorporating surface roughness and the stress concentration factor was developed, and a fatigue life assessment method applicable to corroded EH690 base metal and welded joints was proposed. This study provides a theoretical basis for the anti-corrosion fatigue design of such materials in marine environments.</p>
</abstract>
<kwd-group>
<kwd>corrosion fatigue</kwd>
<kwd>corrosion morphology scanning</kwd>
<kwd>EH690 high-strength steel</kwd>
<kwd>extreme marine environments</kwd>
<kwd>salt spray test</kwd>
</kwd-group>
<funding-group>
<award-group id="gs1">
<funding-source id="sp1">
<institution-wrap>
<institution>National Natural Science Foundation of China</institution>
<institution-id institution-id-type="doi" vocab="open-funder-registry" vocab-identifier="10.13039/open_funder_registry">10.13039/501100001809</institution-id>
</institution-wrap>
</funding-source>
<award-id rid="sp1">52208211</award-id>
</award-group>
<funding-statement>The author(s) declared that financial support was received for this work and/or its publication. This research was funded by the National Natural Science Foundation of China (No. 52208211). The authors also gratefully acknowledge the support provided by the Structural Engineering Laboratory of the School of Civil Engineering and Geomatics at Southwest Petroleum University.</funding-statement>
</funding-group>
<counts>
<fig-count count="18"/>
<table-count count="9"/>
<equation-count count="11"/>
<ref-count count="31"/>
<page-count count="00"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Mechanics of Materials</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<label>1</label>
<title>Introduction</title>
<p>With the rapid advancement of global infrastructure construction and the swift development of marine engineering, the demand for high-performance steel has become increasingly urgent in fields such as bridges, offshore platforms, transmission towers, and aerospace (<xref ref-type="bibr" rid="B6">Fu et al., 2018</xref>; <xref ref-type="bibr" rid="B29">Yang et al., 2025</xref>; <xref ref-type="bibr" rid="B1">Ban and Shi, 2018</xref>). EH690 high-strength steel, renowned for its excellent strength-to-weight ratio, good toughness and plasticity, and outstanding corrosion fatigue resistance, has become a key material in extreme marine engineering structures (<xref ref-type="bibr" rid="B20">Shao et al., 2025</xref>; <xref ref-type="bibr" rid="B21">Shen et al., 2025</xref>). It is widely used in critical facilities including deep-sea platforms, cross-sea bridges, and offshore wind turbine foundations. However, when these critical structures serve in extreme marine environments, they are perennially exposed to harsh corrosive conditions&#x2013;such as high salt spray, chloride ion erosion, acidic seawater, and industrial pollutants&#x2013;while simultaneously bearing extreme cyclic or impact loads like wave shocks, seismically induced vibrations, and tsunami loads.              This dual exposure places high-strength steel and its welded structures at serious risk of corrosion fatigue failure (<xref ref-type="bibr" rid="B9">Guo H. C. et al., 2021</xref>). Corrosion fatigue, as a complex coupled environmental-mechanical damage mechanism, is particularly pronounced under extreme marine conditions. It significantly reduces the material&#x2019;s load-bearing capacity and service life, posing a severe threat to the reliability and safety of engineering structures.</p>
<p>Compared to dry air environments, corrosive media readily induce stress concentration on the steel surface, forming corrosion pits that accelerate fatigue crack initiation (<xref ref-type="bibr" rid="B10">Guo HC. et al., 2021</xref>; <xref ref-type="bibr" rid="B3">Chen et al., 2025</xref>; <xref ref-type="bibr" rid="B25">Wu et al., 2021</xref>). During the stable crack growth stage, the interaction between the corrosive medium and the material further accelerates the crack growth rate, with the crack growth threshold decreasing and the growth rate increasing as the stress ratio rises (<xref ref-type="bibr" rid="B8">Guan et al., 2025</xref>; <xref ref-type="bibr" rid="B16">Li et al., 2023</xref>). As the degree of corrosion intensifies, material mass loss increases and surface integrity is compromised, leading to a significant reduction in fatigue life (<xref ref-type="bibr" rid="B16">Li et al., 2023</xref>; <xref ref-type="bibr" rid="B11">Heng et al., 2025</xref>; <xref ref-type="bibr" rid="B27">Yan et al., 2025</xref>). Compared to the base metal, welded joints are further degraded in fatigue performance due to microstructural inhomogeneity induced by the welding thermal cycle, residual stress concentration, and geometric discontinuities (especially in the weld toe region) (<xref ref-type="bibr" rid="B22">Shojai et al., 2025a</xref>). This makes them more susceptible to crack initiation and unstable propagation in extreme marine corrosive environments, particularly under high-amplitude dynamic loads induced by earthquakes or tsunamis (<xref ref-type="bibr" rid="B17">Liu et al., 2025</xref>). Existing research indicates that corrosion shortens the fatigue crack initiation period and accelerates the propagation rate, with stress concentration induced by corrosion pits being a key mechanism, effectively explainable through stress concentration models (<xref ref-type="bibr" rid="B26">Wu et al., 2025</xref>).</p>
<p>In the extreme marine environment, high-strength steel components are prone to corrosion and form corrosion pits and other corrosion morphology, which causes local geometric defects in steel components and produces stress concentration phenomena. Currently, the Stress Concentration Factor (<italic>K</italic>
<sub>SCF</sub>) is a key parameter for quantifying the local stress amplification effect caused by geometric defects in structures. Its core definition is the ratio of the local actual maximum stress to the nominal stress in a component, serving as a critical bridge for revealing damage mechanisms and establishing life prediction models. <xref ref-type="bibr" rid="B30">Zhang HP. et al. (2025)</xref>, studying high-strength steel wires, found that the geometric parameters and spatial distribution of corrosion pits significantly influence <italic>K</italic>
<sub>SCF</sub>. <xref ref-type="bibr" rid="B28">Yang et al. (2022)</xref>, investigating finger-type expansion joints, confirmed a positive correlation between corrosion depth and <italic>K</italic>
<sub>SCF</sub>. <xref ref-type="bibr" rid="B7">Garbatov et al. (2014)</xref> demonstrated, using small-scale specimens, that corrosion morphology degrades fatigue performance through <italic>K</italic>
<sub>SCF</sub>. <xref ref-type="bibr" rid="B15">Li et al. (2021)</xref>, exploring the corrosion fatigue mechanism of bolted steel plates, found that grain refinement indirectly affects <italic>K</italic>
<sub>SCF</sub>. <xref ref-type="bibr" rid="B14">Jiang et al. (2020)</xref> pointed out that the maximum corrosion pit in stay cable wires causes a sharp increase in <italic>K</italic>
<sub>SCF</sub>. These studies quantify stress concentration coefficients by describing corrosion morphology geometry parameters to study the effect on fatigue performance. However, existing studies mostly focus on the relationship between a single corrosion parameter (e.g., pit depth) and <italic>K</italic>
<sub>SCF</sub>, lacking systematic quantification of multi-parameter coupling (pit depth, radius).</p>
<p>Based on this background, this study focuses on EH690 high-strength steel base metal and its welded joints. Neutral Salt Spray (NSS) tests are conducted to simulate extreme marine atmospheric corrosion environments (high salt spray &#x2b; chloride ion erosion), followed by fatigue performance testing. The aim is to systematically reveal the influence of corrosion morphology on the fatigue performance of both base metal and welded joints, obtaining fatigue life data under different corrosion durations and loading parameters. For the corrosion fatigue of the base metal, relational functions are fitted based on scanned roughness parameter values, yielding S-N life prediction curves controlled by roughness. For the welded joints, the study introduces the stress concentration factor as a core quantitative tool to reveal the evolution law of stress concentration in EH690 high-strength steel welded joints (focusing on the weld toe region) under extreme marine environments and its influence mechanism on fatigue crack initiation/propagation. Ultimately, a unified &#x201c;corrosion degree - stress concentration factor - fatigue life&#x201d; prediction model is established. This research provides a theoretical basis and data support for the anti-corrosion fatigue design, life assessment, and safe service of engineering structures in earthquake/tsunami-prone sea areas.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Experimental materials and methods</title>
<sec id="s2-1">
<label>2.1</label>
<title>Material properties</title>
<p>The base material used in this study was 16 mm thick EH690 high-strength steel manufactured by Nanjing Iron &#x26; Steel Co., Ltd. (China). The steel plates were delivered in the quenched and tempered (Q&#x26;T) condition. The manufacturing process involves quenching and tempering. The welding wire used was OK AristoRod 79 (&#xd8; 1.2 mm), manufactured by ESAB AB (Gothenburg, Sweden). The chemical compositions and material properties of the EH690 high-strength steel and the welding wire are provided in <xref ref-type="table" rid="T1">Table 1</xref> and <xref ref-type="table" rid="T2">2</xref>, respectively.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Chemical composition of EH690 steel and welding materials (%).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Material</th>
<th align="center">C</th>
<th align="center">Si</th>
<th align="center">Mn</th>
<th align="center">P</th>
<th align="center">S</th>
<th align="center">Cr</th>
<th align="center">Ni</th>
<th align="center">V</th>
<th align="center">Mo</th>
<th align="center">Cu</th>
<th align="center">B</th>
<th align="center">Al</th>
<th align="center">Nb</th>
<th align="center">Ti</th>
<th align="center">Fe</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">EH690</td>
<td align="center">0.13</td>
<td align="center">0.20</td>
<td align="center">1.36</td>
<td align="center">0.008</td>
<td align="center">0.002</td>
<td align="center">0.22</td>
<td align="center">0.31</td>
<td align="center">0.034</td>
<td align="center">0.235</td>
<td align="center">0.02</td>
<td align="center">0.0017</td>
<td align="center">0.035</td>
<td align="center">0.015</td>
<td align="center">0.014</td>
<td align="center">Bal.</td>
</tr>
<tr>
<td align="left">OKAristoRod79</td>
<td align="center">0.09</td>
<td align="center">0.89</td>
<td align="center">1.82</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">0.25</td>
<td align="center">2.03</td>
<td align="center">-</td>
<td align="center">0.64</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">Bal.</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Mechanical properties of EH690 steel and welding materials.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Material</th>
<th align="center">Elastic modulus <italic>E</italic>/MPa</th>
<th align="center">Yield strength <italic>R</italic>
<sub>
<italic>P</italic>0.2</sub>/MPa</th>
<th align="center">Tensile strength <italic>R</italic>
<sub>
<italic>m</italic>
</sub>/MPa</th>
<th align="center">Elongation after fracture <italic>&#x3b4;</italic>(%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">EH690</td>
<td align="center">2.10 &#xd7; 10<sup>5</sup>
</td>
<td align="center">794</td>
<td align="center">834</td>
<td align="center">15.4</td>
</tr>
<tr>
<td align="center">OKAristoRod79</td>
<td align="center">-</td>
<td align="center">825</td>
<td align="center">900</td>
<td align="center">17.0</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-2">
<label>2.2</label>
<title>Specimen preparation</title>
<p>Base metal corrosion specimens were machined from EH690 steel plates using wire electrical discharge machining (WEDM), with dimensions of 300 mm &#xd7; 30 mm &#xd7; 16 mm. The specimen surfaces were polished to ensure consistent surface quality across all specimens, thereby minimizing the influence of initial surface defects. After completing the cleaning, weighing, and scanning of the corroded specimens, they were further processed to the dimensions shown in <xref ref-type="fig" rid="F1">Figure 1a</xref>. A separate set of uncorroded specimens was prepared as a control group.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Dimensions of corrosion-fatigue specimens: <bold>(a)</bold> base material, <bold>(b)</bold> welded joint.</p>
</caption>
<graphic xlink:href="fmats-13-1778608-g001.tif">
<alt-text content-type="machine-generated">Technical drawings labeled (a) and (b) compare a rectangular specimen&#x2019;s dimensions with millimeter units, each showing a length of three hundred, thickness of sixteen, width of thirty, and a central notch with radius eighty and depth ten. Drawing (b) includes a dark crack-like feature at the notch center.</alt-text>
</graphic>
</fig>
<p>Welded joints were produced using gas metal arc welding, followed by heat preservation treatment to prevent cold cracking. The joints were subjected to non-destructive testing to confirm the absence of welding defects before being accepted for experimental use. Using the weld center as a reference, corrosion specimens measuring 300 mm &#xd7; 30 mm &#xd7; 10 mm were extracted by WEDM from steel plates measuring 1,000 mm &#xd7; 402 mm &#xd7; 10 mm. The structural design, process parameters, and quality of the welded joints complied with the requirements of the current Chinese standard GB/T 50661-2011 (<xref ref-type="bibr" rid="B18">Ministry of Housing and Urban-Rural Development of the People&#x2019;s Republic of China, 2011</xref>). After corrosion testing, fatigue test specimens were finally machined by WEDM from the corroded steel plates (300 mm &#xd7; 30 mm &#xd7; 10 mm), again using the weld center as the reference point. The specimen design dimensions are shown in <xref ref-type="fig" rid="F1">Figure 1b</xref>, and the welding process parameters are listed in <xref ref-type="table" rid="T3">Table 3</xref>.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Welding process parameters.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Welding pass</th>
<th align="center">Voltage <italic>U</italic>/V</th>
<th align="center">Current <italic>I</italic>/A</th>
<th align="center">Travel speed <italic>v</italic>/(cm/min)</th>
<th align="center">Heat input <italic>Q</italic>/(kJ/cm)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Root</td>
<td align="center">20&#x2013;23</td>
<td align="center">170&#x2013;190</td>
<td align="center">28&#x2013;32</td>
<td align="center">&#x2264;9.36</td>
</tr>
<tr>
<td align="center">Fill</td>
<td align="center">26&#x2013;30</td>
<td align="center">240&#x2013;280</td>
<td align="center">36&#x2013;40</td>
<td align="center">&#x2264;14.00</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-3">
<label>2.3</label>
<title>Neutral salt spray test</title>
<p>This study employed a salt spray test chamber (Model YWX-750) that complies with the Chinese standard GB/T 10125-2021 (<xref ref-type="bibr" rid="B5">China Iron and Steel Association, 2021</xref>). The effective dimensions of the test chamber are 1,100 mm &#xd7; 750 mm &#xd7; 500 mm. The detailed test parameters are listed in <xref ref-type="table" rid="T4">Table 4</xref>.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Salt spray test conditions.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Test method</th>
<th align="center">Corrosive medium</th>
<th align="center">Temperature</th>
<th align="center">Average settlement rate (per 80 cm<sup>2</sup> horizontal area)</th>
<th align="center">NaCl concentration</th>
<th align="center">pH</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Neutral salt spray</td>
<td align="center">5% NaCl solution</td>
<td align="center">35 &#xb0;C &#xb1; 2 &#xb0;C</td>
<td align="center">1.5 mL/h &#xb1; 0.5 mL/h</td>
<td align="center">50 g/L &#xb1; 5 g/L</td>
<td align="center">6.5&#x223c;7.2</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The test included three corrosion durations: 240 h, 480 h, and 960 h, with three parallel specimens set for each duration. The specimens were placed horizontally in the salt spray chamber, and their positions were rotated every 24 h to ensure uniform corrosion progression. <xref ref-type="fig" rid="F2">Figure 2</xref> shows the salt spray test chamber and the arrangement of EH690 high-strength steel specimens. During the corrosion test, specimens were removed at predetermined intervals according to the experimental design. Following the standard GB/T 16545-2015 (<xref ref-type="bibr" rid="B4">China Iron and Steel Association, 2015</xref>), the specimens were derusted and subsequently used for corrosion morphology scanning tests.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(a)</bold> Salt spray corrosion test chamber. <bold>(b)</bold> Layout of base material specimens. <bold>(c)</bold> Layout of welded joint specimens.</p>
</caption>
<graphic xlink:href="fmats-13-1778608-g002.tif">
<alt-text content-type="machine-generated">(a) Laboratory corrosion testing chamber with transparent cover partially open, containing multiple metallic specimens arranged inside, surrounded by safety barriers and control panel visible on the right. (b) Close-up of metallic test samples aligned horizontally in the chamber under a spraying apparatus, showing surface residue. (c) Angled overhead view of metallic specimens in the chamber beneath an open protective lid, with spray nozzles positioned above for corrosion testing.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2-4">
<label>2.4</label>
<title>Scanning system configuration</title>
<p>The scanning system used in this study primarily consists of the following components: the corroded specimen, a fixed support, a HonorScanII high-precision blue-light 3D scanner (with an equipment accuracy of 0.008 mm), power and data cables, and a computer, as shown in <xref ref-type="fig" rid="F3">Figure 3a</xref>. The scanner was positioned near the specimen to be scanned, ensuring an optimal scanning distance, and directly captured the point cloud data of the parallel areas on the specimen. The specific scanning area is illustrated in <xref ref-type="fig" rid="F3">Figure 3b</xref> and the specific welded joint scanning area is illustrated in <xref ref-type="fig" rid="F3">Figure 3c</xref>.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>
<bold>(a)</bold> 3D scanning system; <bold>(b)</bold> Schematic diagram of the base material scanning area; <bold>(c)</bold> Schematic diagram of the scan area of the welded joint.</p>
</caption>
<graphic xlink:href="fmats-13-1778608-g003.tif">
<alt-text content-type="machine-generated">Figure with three labeled panels. Panel (a) shows a 3D scanner mounted on a tripod above a hold down support and specimen. Panel (b) displays a microscopic view of a material surface with a 100 micrometer by 100 micrometer scanning area marked. Panel (c) presents a similar surface with a weld joint in the center and two 100 micrometer by 120 micrometer scanning areas marked on either side of the joint.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2-5">
<label>2.5</label>
<title>Fatigue testing methodology</title>
<p>The fatigue tests were conducted on a SUNS-890 electro-hydraulic servo fatigue testing machine. The loading device and data acquisition system are shown in <xref ref-type="fig" rid="F4">Figure 4</xref>. Loading was applied under force control using a constant-amplitude sinusoidal waveform. Throughout the experiment, a frequency of 10 Hz and a stress ratio of <italic>R</italic> &#x3d; 0.1 were used. The maximum test stress for intact specimens was set at 0.6 times the yield strength. The testing proceeded from higher stress levels to lower ones. High-cycle fatigue tests were carried out at three different stress levels, and the number of fatigue cycles at each level was recorded to obtain the S-N curve. To account for the potential of infinite life at low stress levels and considering time constraints, a run-out threshold of 2 million cycles was set.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>SUNS-890 electro-hydraulic servo fatigue testing machine.</p>
</caption>
<graphic xlink:href="fmats-13-1778608-g004.tif">
<alt-text content-type="machine-generated">Universal testing machine applying a tensile load to a metallic specimen held between two cylindrical grips, with a control panel featuring dials, switches, and a remote on the front below the testing area.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<label>3</label>
<title>Results and discussion: corrosion behavior</title>
<sec id="s3-1">
<label>3.1</label>
<title>Mass loss and thickness degradation</title>
<p>
<xref ref-type="fig" rid="F5">Figure 5</xref> shows the comparison of specimen conditions after different corrosion durations. The cleaning solution used was a 50% hydrochloric acid solution. The degree of corrosion degradation (<italic>DOD</italic>) is represented by the weight loss rate, while the equivalent thickness loss, &#x394;<italic>h</italic>
<sub>
<italic>eq</italic>
</sub>, serves as a parameter for characterizing corrosion thickness. This value can be calculated from the mass loss using the following <xref ref-type="disp-formula" rid="e1">Equations 1</xref>, <xref ref-type="disp-formula" rid="e2">2</xref>:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>D</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where:<list list-type="simple">
<list-item>
<p>
<italic>m</italic>
<sub>0</sub> &#x3d; initial mass of the uncorroded specimen (g)</p>
</list-item>
<list-item>
<p>
<italic>m</italic>
<sub>1</sub> &#x3d; mass of the specimen after derusting (g)</p>
</list-item>
<list-item>
<p>
<italic>&#x3c1;</italic> &#x3d; density of the EH690 steel plate (7.85 g/cm<sup>3</sup>)</p>
</list-item>
<list-item>
<p>
<italic>A</italic> &#x3d; surface area of the uncorroded specimen (cm<sup>2</sup>)</p>
</list-item>
</list>
</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Corrosion condition of specimens at different corrosion times. <bold>(a)</bold> Specimen after 240 h of corrosion. <bold>(b)</bold> Specimen after 480 h of corrosion. <bold>(c)</bold> Specimen after 960 h of corrosion.</p>
</caption>
<graphic xlink:href="fmats-13-1778608-g005.tif">
<alt-text content-type="machine-generated">Three rectangular metallic specimens, each with a narrowed center section, display increasing surface discoloration and corrosion after 240, 480, and 960 hours of exposure, respectively, labeled as figure a, b, and c.</alt-text>
</graphic>
</fig>
<p>After the salt spray corrosion test, the changes in corrosion weight are presented in <xref ref-type="table" rid="T5">Table 5</xref>, in which BM represents the base material and WJ represents the welded joint, and the relationship between the degree of corrosion degradation and thickness loss is shown in <xref ref-type="fig" rid="F6">Figure 6</xref>. The condition of the specimens under different corrosion durations is described as follows:</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Data sheet for corroded specimens.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Specimen</th>
<th align="center">Corrosion time T/h</th>
<th align="center">Initial weight <italic>m</italic>
<sub>0</sub>/g</th>
<th align="center">Weight after corrosion <italic>m</italic>
<sub>1</sub>/g</th>
<th align="center">Mass loss <inline-formula id="inf1">
<mml:math id="m3">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> <italic>m</italic>/g</th>
<th align="center">Degree of deterioration <italic>DOD</italic>/%</th>
<th align="center">Thickness loss &#x394;<italic>h</italic>
<sub>
<italic>eq</italic>
</sub>/&#x3bc;m</th>
<th align="center">Average thickness loss <inline-formula id="inf2">
<mml:math id="m4">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula>/&#x3bc;m</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">BM-1-1</td>
<td align="center">240 h</td>
<td align="center">1079.57</td>
<td align="center">1067.7</td>
<td align="center">11.87</td>
<td align="center">1.11</td>
<td align="center">52.94</td>
<td rowspan="3" align="center">45.6</td>
</tr>
<tr>
<td align="center">BM-1-2</td>
<td align="center">240 h</td>
<td align="center">1076.47</td>
<td align="center">1068</td>
<td align="center">8.47</td>
<td align="center">0.80</td>
<td align="center">37.78</td>
</tr>
<tr>
<td align="center">BM-1-3</td>
<td align="center">240 h</td>
<td align="center">1083.67</td>
<td align="center">1073.9</td>
<td align="center">9.77</td>
<td align="center">0.91</td>
<td align="center">43.58</td>
</tr>
<tr>
<td align="center">BM-2-1</td>
<td align="center">480 h</td>
<td align="center">1077.37</td>
<td align="center">1062</td>
<td align="center">15.37</td>
<td align="center">1.44</td>
<td align="center">68.56</td>
<td rowspan="3" align="center">69.7</td>
</tr>
<tr>
<td align="center">BM-2-2</td>
<td align="center">480 h</td>
<td align="center">1078.27</td>
<td align="center">1063.1</td>
<td align="center">15.17</td>
<td align="center">1.42</td>
<td align="center">67.66</td>
</tr>
<tr>
<td align="center">BM-2-3</td>
<td align="center">480 h</td>
<td align="center">1081.37</td>
<td align="center">1064.5</td>
<td align="center">16.87</td>
<td align="center">1.58</td>
<td align="center">75.25</td>
</tr>
<tr>
<td align="center">BM-3-1</td>
<td align="center">960 h</td>
<td align="center">1078.37</td>
<td align="center">1056.9</td>
<td align="center">21.47</td>
<td align="center">2.02</td>
<td align="center">95.76</td>
<td rowspan="3" align="center">111.4</td>
</tr>
<tr>
<td align="center">BM-3-2</td>
<td align="center">960 h</td>
<td align="center">1078.47</td>
<td align="center">1055.6</td>
<td align="center">22.87</td>
<td align="center">2.15</td>
<td align="center">102.01</td>
</tr>
<tr>
<td align="center">BM-3-3</td>
<td align="center">960 h</td>
<td align="center">1079.47</td>
<td align="center">1051.2</td>
<td align="center">28.27</td>
<td align="center">2.65</td>
<td align="center">126.1</td>
</tr>
<tr>
<td align="center">WJ-1-1</td>
<td align="center">240 h</td>
<td align="center">1093.0</td>
<td align="center">1082.3</td>
<td align="center">10.7</td>
<td align="center">0.98</td>
<td align="center">47.73</td>
<td rowspan="3" align="center">50.7</td>
</tr>
<tr>
<td align="center">WJ-1-2</td>
<td align="center">240 h</td>
<td align="center">1092.2</td>
<td align="center">1081.3</td>
<td align="center">10.9</td>
<td align="center">1.00</td>
<td align="center">48.62</td>
</tr>
<tr>
<td align="center">WJ-1-3</td>
<td align="center">240 h</td>
<td align="center">1092.2</td>
<td align="center">1079.7</td>
<td align="center">12.5</td>
<td align="center">1.14</td>
<td align="center">55.75</td>
</tr>
<tr>
<td align="center">WJ-2-1</td>
<td align="center">480 h</td>
<td align="center">1094.6</td>
<td align="center">1076.4</td>
<td align="center">18.2</td>
<td align="center">1.66</td>
<td align="center">81.18</td>
<td rowspan="3" align="center">69.6</td>
</tr>
<tr>
<td align="center">WJ-2-2</td>
<td align="center">480 h</td>
<td align="center">1091.0</td>
<td align="center">1074.4</td>
<td align="center">16.6</td>
<td align="center">1.52</td>
<td align="center">74.04</td>
</tr>
<tr>
<td align="center">WJ-2-3</td>
<td align="center">480 h</td>
<td align="center">1092.9</td>
<td align="center">1080.9</td>
<td align="center">12.0</td>
<td align="center">1.10</td>
<td align="center">53.52</td>
</tr>
<tr>
<td align="center">WJ-3-1</td>
<td align="center">960 h</td>
<td align="center">1093.8</td>
<td align="center">1068.4</td>
<td align="center">25.4</td>
<td align="center">2.32</td>
<td align="center">113.29</td>
<td rowspan="3" align="center">110.8</td>
</tr>
<tr>
<td align="center">WJ-3-2</td>
<td align="center">960 h</td>
<td align="center">1090.9</td>
<td align="center">1066.4</td>
<td align="center">24.5</td>
<td align="center">2.25</td>
<td align="center">109.28</td>
</tr>
<tr>
<td align="center">WJ-3-3</td>
<td align="center">960 h</td>
<td align="center">1092.5</td>
<td align="center">1067.9</td>
<td align="center">24.6</td>
<td align="center">2.25</td>
<td align="center">109.73</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Relationship between: <bold>(a)</bold> corrosion depth and corrosion extent, <bold>(b)</bold> average corrosion depth and corrosion time.</p>
</caption>
<graphic xlink:href="fmats-13-1778608-g006.tif">
<alt-text content-type="machine-generated">Two adjacent scientific line charts compare corrosion characteristics of base material and welded joint. Left chart plots thickness loss versus degree of corrosion, both showing linear increases with distinct fitting curves. Right chart plots average thickness loss against corrosion time, also with linear trends; base material and welded joint are clearly differentiated by markers and fitted lines.</alt-text>
</graphic>
</fig>
<p>At 240 h, slight thickness thinning occurred, with localized fine pitting corrosion and loss of metallic luster.</p>
<p>At 480 h, pitting corrosion increased and connected into small corrosion zones, accompanied by noticeable darkening in color.</p>
<p>At 960 h, the corrosion depth increased significantly, with evident corrosion pits and loss of surface flatness.</p>
<p>The data indicate a significant positive correlation between the degree of corrosion degradation and the equivalent thickness loss. The average corrosion depth increased over time, though the rate of increase slowed, which is attributed to the accumulation of corrosion products within the pits (<xref ref-type="bibr" rid="B13">Jia et al., 2018</xref>; <xref ref-type="bibr" rid="B2">Chat et al., 2015</xref>; <xref ref-type="bibr" rid="B19">Na et al., 2025</xref>).</p>
</sec>
<sec id="s3-2">
<label>3.2</label>
<title>Corrosion morphology parameters</title>
<p>The surface roughness of the base material was calculated according to the formulae recommended in ISO 25178-2:2021 (<xref ref-type="bibr" rid="B12">International Organization for Standardization, 2021</xref>) (<xref ref-type="disp-formula" rid="e3">Equations 3</xref>&#x2013;<xref ref-type="disp-formula" rid="e5">5</xref>):<disp-formula id="e3">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x222c;</mml:mo>
<mml:mrow>
<mml:mfenced open="|" close="|" separators="&#x7c;">
<mml:mrow>
<mml:mi>Z</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
<disp-formula id="e4">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>q</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x222c;</mml:mo>
<mml:mrow>
<mml:mfenced open="|" close="|" separators="&#x7c;">
<mml:mrow>
<mml:msup>
<mml:mi>Z</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
<disp-formula id="e5">
<mml:math id="m7">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x222c;</mml:mo>
<mml:mrow>
<mml:mfenced open="|" close="|" separators="&#x7c;">
<mml:mrow>
<mml:mi>Z</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
</p>
<p>Where <italic>Z</italic> (<italic>x</italic>,<italic>y</italic>) denotes the height coordinate of each point and A represents the effective scanning area. The maximum surface height <italic>S</italic>
<sub>z</sub> is primarily employed to characterize the maximum height difference of the corroded surface, while the arithmetic mean height <italic>S</italic>
<sub>a</sub> and root mean square height <italic>S</italic>
<sub>q</sub> are utilized to assess the average roughness of the corroded surface. The corrosion morphology of the base material is illustrated in <xref ref-type="fig" rid="F7">Figure 7</xref>, and the calculated parameters are tabulated in <xref ref-type="table" rid="T6">Table 6</xref>. The data demonstrate that all three roughness parameters (<italic>S</italic>
<sub>a</sub>, <italic>S</italic>
<sub>q</sub>, and <italic>S</italic>
<sub>z</sub>) within the base material region exhibit a positive correlation with corrosion time, as shown in <xref ref-type="fig" rid="F8">Figure 8</xref>.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>SEM images of base material corrosion morphology: <bold>(a)</bold> 240 h; <bold>(b)</bold> 480 h; <bold>(c)</bold> 960 h.</p>
</caption>
<graphic xlink:href="fmats-13-1778608-g007.tif">
<alt-text content-type="machine-generated">Three 3D surface plots labeled a, b, and c show varying surface roughness in micrometers over a nine millimeter square area, with elevation indicated by color gradients from blue (lowest) to red (highest) alongside vertical color bars indicating height scales specific to each plot.</alt-text>
</graphic>
</fig>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Roughness parameters of the corroded material.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Roughness parameters</th>
<th colspan="3" align="center">Arithmetic mean height <italic>S</italic>
<sub>a</sub>/&#x3bc;m</th>
<th colspan="3" align="center">Root mean square height <italic>S</italic>
<sub>q</sub>/&#x3bc;m</th>
<th colspan="3" align="center">Maximum surface height <italic>S</italic>
<sub>z</sub>/&#x3bc;m</th>
</tr>
<tr>
<th align="center">Location</th>
<th align="center">Base material</th>
<th align="center">Left weld</th>
<th align="center">Right weld</th>
<th align="center">Base material</th>
<th align="center">Left weld</th>
<th align="center">Right weld</th>
<th align="center">Base material</th>
<th align="center">Left weld</th>
<th align="center">Right weld</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">BM-1-1</td>
<td align="center">15.68</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">20.09</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">149.7</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">BM-1-2</td>
<td align="center">13.92</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">22.94</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">331.9</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">BM-1-3</td>
<td align="center">15.60</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">19.90</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">249.8</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">BM-2-1</td>
<td align="center">20.66</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">26.12</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">333.9</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">BM-2-2</td>
<td align="center">31.71</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">39.92</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">322.9</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">BM-2-3</td>
<td align="center">22.93</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">29.21</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">353.7</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">BM-3-1</td>
<td align="center">40.91</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">50.46</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">362.6</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">BM-3-2</td>
<td align="center">65.59</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">80.29</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">524.3</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">BM-3-3</td>
<td align="center">52.76</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">68.12</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">547.5</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">WJ-1-1</td>
<td align="center">-</td>
<td align="center">107.2</td>
<td align="center">145.3</td>
<td align="center">-</td>
<td align="center">125.7</td>
<td align="center">166.8</td>
<td align="center">-</td>
<td align="center">678.1</td>
<td align="center">713.8</td>
</tr>
<tr>
<td align="center">WJ-1-2</td>
<td align="center">-</td>
<td align="center">164.0</td>
<td align="center">128.2</td>
<td align="center">-</td>
<td align="center">187.9</td>
<td align="center">150.5</td>
<td align="center">-</td>
<td align="center">863.6</td>
<td align="center">725.1</td>
</tr>
<tr>
<td align="center">WJ-1-3</td>
<td align="center">-</td>
<td align="center">107.9</td>
<td align="center">107.6</td>
<td align="center">-</td>
<td align="center">128.4</td>
<td align="center">126.4</td>
<td align="center">-</td>
<td align="center">770.6</td>
<td align="center">726.8</td>
</tr>
<tr>
<td align="center">WJ-2-1</td>
<td align="center">-</td>
<td align="center">109.7</td>
<td align="center">90.2</td>
<td align="center">-</td>
<td align="center">129.1</td>
<td align="center">107.6</td>
<td align="center">-</td>
<td align="center">728.9</td>
<td align="center">611.2</td>
</tr>
<tr>
<td align="center">WJ-2-2</td>
<td align="center">-</td>
<td align="center">131.8</td>
<td align="center">121.0</td>
<td align="center">-</td>
<td align="center">166.8</td>
<td align="center">141.5</td>
<td align="center">-</td>
<td align="center">867.4</td>
<td align="center">788.2</td>
</tr>
<tr>
<td align="center">WJ-2-3</td>
<td align="center">-</td>
<td align="center">116.3</td>
<td align="center">123.0</td>
<td align="center">-</td>
<td align="center">138.7</td>
<td align="center">144.4</td>
<td align="center">-</td>
<td align="center">933.7</td>
<td align="center">907.5</td>
</tr>
<tr>
<td align="center">WJ-3-1</td>
<td align="center">-</td>
<td align="center">119.1</td>
<td align="center">135.9</td>
<td align="center">-</td>
<td align="center">148.8</td>
<td align="center">171.1</td>
<td align="center">-</td>
<td align="center">753.2</td>
<td align="center">887.7</td>
</tr>
<tr>
<td align="center">WJ-3-2</td>
<td align="center">-</td>
<td align="center">165.0</td>
<td align="center">126.7</td>
<td align="center">-</td>
<td align="center">188.4</td>
<td align="center">151.2</td>
<td align="center">-</td>
<td align="center">772.1</td>
<td align="center">819.3</td>
</tr>
<tr>
<td align="center">WJ-3-3</td>
<td align="center">-</td>
<td align="center">76.01</td>
<td align="center">113.6</td>
<td align="center">-</td>
<td align="center">95.87</td>
<td align="center">140.7</td>
<td align="center">-</td>
<td align="center">875.3</td>
<td align="center">710.1</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Relationship between corrosion time and roughness parameters: <bold>(a)</bold> Arithmetic mean height; <bold>(b)</bold> Root mean square height; <bold>(c)</bold> Maximum surface height.</p>
</caption>
<graphic xlink:href="fmats-13-1778608-g008.tif">
<alt-text content-type="machine-generated">Three line graphs display the increase in surface roughness parameters against corrosion time in hours. Graph (a) uses a blue line for arithmetic mean height, graph (b) a green line for root mean square height, and graph (c) a red line for a different root mean square height, all showing upward trends.</alt-text>
</graphic>
</fig>
<p>No clear correlation was observed between the roughness parameters of the weld zone and corrosion time, which is attributed to the accelerated notch development at the weld due to corrosion (<xref ref-type="bibr" rid="B23">Shojai et al., 2025b</xref>). In this study, the focus was placed on the evolution of corrosion-induced morphological changes at the weld. However, the experimental results indicated that surface roughness alone could not adequately quantify the morphological changes or determine the geometric parameters at the weld. Therefore, geometric parameters such as the relative depth of corrosion notches at the weld toe were obtained by processing the scanned data. <xref ref-type="fig" rid="F9">Figure 9</xref> shows the morphology of the weld zone. As illustrated, at 240 h of corrosion, isolated pitting pits appeared at the weld and gradually connected to form linear corrosion grooves along the weld. By 480 h, the corrosion grooves expanded laterally, and the notch radius decreased. After 960 h, the corrosion grooves developed into continuous slots parallel to the weld, with the notch bottom becoming increasingly sharp. In the initial stage of corrosion, the preferential corrosion at the weld was driven by residual stresses and microstructural inhomogeneity. However, in the later stage, the accumulation of corrosion products inhibited further expansion of the corrosion notch, leading to the formation of sheet-like corrosion pits around the original pits (<xref ref-type="bibr" rid="B31">Zhang QH. et al., 2025</xref>).</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Scanning results of weld seams under different corrosion times: <bold>(a)</bold> Specimen after 240 h; <bold>(b)</bold> Specimen after 480 h; <bold>(c)</bold> Specimen after 960 h.</p>
</caption>
<graphic xlink:href="fmats-13-1778608-g009.tif">
<alt-text content-type="machine-generated">Three 3D surface plots labeled a, b, and c show colored height maps of textured surfaces, each with an inset vertical view and corresponding color bar ranging from blue at lowest elevations to red at highest.</alt-text>
</graphic>
</fig>
<p>The relative notch depth, <italic>h</italic>
<sub>q</sub>, is defined as the distance from the surface of the corroded specimen to the bottom of the deepest corrosion pit within the corrosion notch at the weld toe. The equivalent notch radius, <italic>r</italic>, is derived by approximating the irregular pit bottom as an arc-shaped surface and fitting it using the minimum circumscribed circle method. A schematic illustration is provided in <xref ref-type="fig" rid="F10">Figure 10</xref>, with specific data summarized in <xref ref-type="table" rid="T7">Table 7</xref>. The relationship between corrosion time and the corresponding parameters is presented in <xref ref-type="fig" rid="F11">Figure 11</xref>.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Schematic diagram for the calculation of relative notch depth and equivalent notch radius.</p>
</caption>
<graphic xlink:href="fmats-13-1778608-g010.tif">
<alt-text content-type="machine-generated">Diagram illustrating a cross-section of a welded joint with a corroded notch at the interface of base material and weld joint. The upper segment shows the full weld cross-section with a red highlighted zoom area. The lower left inset details the measurement of average height after corrosion and relative notch depth, while the lower right inset shows radius and minimum circumscribed circle at the notch tip, all with labeled base material and weld joint regions.</alt-text>
</graphic>
</fig>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Notch parameters at weld toe.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Specimen</th>
<th align="center">Notch location</th>
<th align="center">Relative corrosion notch depth <italic>h</italic>
<sub>q</sub>/mm</th>
<th align="center">Standard deviation/mm</th>
<th align="center">Mean value/mm</th>
<th align="center">Corrosion notch radius <italic>r</italic>/&#x3bc;m</th>
<th align="center">Standard deviation/&#x3bc;m</th>
<th align="center">Mean value/&#x3bc;m</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">WJ-1-1</td>
<td align="center">L</td>
<td align="center">0.729</td>
<td rowspan="6" align="center">0.068</td>
<td rowspan="6" align="center">0.649</td>
<td align="center">375</td>
<td rowspan="6" align="center">22.5</td>
<td rowspan="6" align="center">394.0</td>
</tr>
<tr>
<td align="center">R</td>
<td align="center">0.596</td>
<td align="center">424</td>
</tr>
<tr>
<td rowspan="2" align="center">WJ-1-2</td>
<td align="center">L</td>
<td align="center">0.686</td>
<td align="center">385</td>
</tr>
<tr>
<td align="center">R</td>
<td align="center">0.634</td>
<td align="center">375</td>
</tr>
<tr>
<td rowspan="2" align="center">WJ-1-3</td>
<td align="center">L</td>
<td align="center">0.551</td>
<td align="center">384</td>
</tr>
<tr>
<td align="center">R</td>
<td align="center">0.698</td>
<td align="center">421</td>
</tr>
<tr>
<td rowspan="2" align="center">WJ-2-1</td>
<td align="center">L</td>
<td align="center">0.691</td>
<td rowspan="6" align="center">0.067</td>
<td rowspan="6" align="center">0.716</td>
<td align="center">185.6</td>
<td rowspan="6" align="center">27.1</td>
<td rowspan="6" align="center">206.5</td>
</tr>
<tr>
<td align="center">R</td>
<td align="center">0.766</td>
<td align="center">164.8</td>
</tr>
<tr>
<td rowspan="2" align="center">WJ-2-2</td>
<td align="center">L</td>
<td align="center">0.629</td>
<td align="center">216.8</td>
</tr>
<tr>
<td align="center">R</td>
<td align="center">0.718</td>
<td align="center">211.2</td>
</tr>
<tr>
<td rowspan="2" align="center">WJ-2-3</td>
<td align="center">L</td>
<td align="center">0.816</td>
<td align="center">240.8</td>
</tr>
<tr>
<td align="center">R</td>
<td align="center">0.675</td>
<td align="center">220</td>
</tr>
<tr>
<td rowspan="2" align="center">WJ-3-1</td>
<td align="center">L</td>
<td align="center">0.809</td>
<td rowspan="6" align="center">0.075</td>
<td rowspan="6" align="center">0.755</td>
<td align="center">127.2</td>
<td rowspan="6" align="center">26.0</td>
<td rowspan="6" align="center">127.3</td>
</tr>
<tr>
<td align="center">R</td>
<td align="center">0.662</td>
<td align="center">98.4</td>
</tr>
<tr>
<td rowspan="2" align="center">WJ-3-2</td>
<td align="center">L</td>
<td align="center">0.769</td>
<td align="center">116</td>
</tr>
<tr>
<td align="center">R</td>
<td align="center">0.75</td>
<td align="center">112.8</td>
</tr>
<tr>
<td rowspan="2" align="center">WJ-3-3</td>
<td align="center">L</td>
<td align="center">0.68</td>
<td align="center">136</td>
</tr>
<tr>
<td align="center">R</td>
<td align="center">0.858</td>
<td align="center">173.6</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Relationship between corrosion time and notch parameters: <bold>(a)</bold> Relative notch depth; <bold>(b)</bold> Notch radius.</p>
</caption>
<graphic xlink:href="fmats-13-1778608-g011.tif">
<alt-text content-type="machine-generated">Panel (a) presents a line graph showing the average value of relative notch depth in millimeters increasing with corrosion time in hours, with data points and a blue curve. Panel (b) displays a line graph illustrating the average notch radius in micrometers decreasing as corrosion time increases, with data points and a green curve.</alt-text>
</graphic>
</fig>
<p>As shown in the figure, the average notch depth measures 0.645 mm at 240 h, increases to 0.708 mm at 480 h, and reaches 0.757 mm at 960 h. The depth at 960 h shows an increase of 17.4% compared to that at 240 h, demonstrating a significant upward trend with prolonged corrosion time, though the rate of increase slows. This indicates continuous attack by the corrosive medium at the weld toe region, leading to progressive deepening of the notch and enhanced geometric discontinuity of the cross-section. Meanwhile, the average notch radius is 397.96 &#x3bc;m at 240 h, decreases to 199.04 &#x3bc;m at 480 h, and further reduces to 134.94 &#x3bc;m at 960 h. The radius at 960 h exhibits a reduction of 66.1% compared to that at 240 h, showing a notable downward trend over time, with a decelerating rate of decrease. This suggests that corrosion preferentially attacks the bottom and sidewalls of the notch, resulting in a progressively sharper notch geometry.</p>
</sec>
</sec>
<sec id="s4">
<label>4</label>
<title>Fatigue performance and life prediction</title>
<p>Fatigue tests were conducted on a total of 15 base metal specimens and 15 welded joint specimens. The fatigue results for uncorroded specimens and those subjected to different corrosion durations are summarized in <xref ref-type="table" rid="T8">Table 8</xref> and <xref ref-type="table" rid="T9">9</xref>, in which BM-0 denotes the uncorroded base metal specimens (<xref ref-type="table" rid="T8">Table 8</xref>) and WJ-0 denotes the uncorroded welded joint specimens (<xref ref-type="table" rid="T9">Table 9</xref>). All fractures in the corroded welded joint specimens occurred in the weld region.</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>Fatigue test results of base material.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Specimen</th>
<th align="center">Corrosion time <italic>T</italic>/h</th>
<th align="center">Load ratio <inline-formula id="inf3">
<mml:math id="m8">
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">Max. Stress <italic>S</italic>
<sub>max</sub>/MPa</th>
<th align="center">Test stress amplitude <inline-formula id="inf4">
<mml:math id="m9">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>/MPa</th>
<th align="center">Surface roughness <italic>S</italic>
<sub>z</sub>/&#x3bc;m</th>
<th align="center">Stress concentration factor <italic>K</italic>
<sub>C</sub>
</th>
<th align="center">Modified stress amplitude <inline-formula id="inf5">
<mml:math id="m10">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi>&#x3c3;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>/MPa</th>
<th align="center">Fatigue life <italic>N</italic>/cycles</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">BM-0-1</td>
<td align="center">0</td>
<td align="center">0.7</td>
<td align="center">554.48</td>
<td align="center">304.96</td>
<td align="center">-</td>
<td align="center">1</td>
<td align="center">304.96</td>
<td align="center">133,805</td>
</tr>
<tr>
<td align="center">BM-0-2</td>
<td align="center">0</td>
<td align="center">0.6</td>
<td align="center">475.27</td>
<td align="center">261.4</td>
<td align="center">-</td>
<td align="center">1</td>
<td align="center">261.4</td>
<td align="center">285,044</td>
</tr>
<tr>
<td align="center">BM-0-3</td>
<td align="center">0</td>
<td align="center">0.55</td>
<td align="center">435.66</td>
<td align="center">239.61</td>
<td align="center">-</td>
<td align="center">1</td>
<td align="center">239.61</td>
<td align="center">438,674</td>
</tr>
<tr>
<td align="center">BM-0-4</td>
<td align="center">0</td>
<td align="center">0.5</td>
<td align="center">396.06</td>
<td align="center">217.83</td>
<td align="center">-</td>
<td align="center">1</td>
<td align="center">217.83</td>
<td align="center">683,154</td>
</tr>
<tr>
<td align="center">BM-0-5</td>
<td align="center">0</td>
<td align="center">0.4</td>
<td align="center">316.84</td>
<td align="center">174.26</td>
<td align="center">-</td>
<td align="center">1</td>
<td align="center">174.26</td>
<td align="center">2,000,000</td>
</tr>
<tr>
<td align="center">BM-0-6</td>
<td align="center">0</td>
<td align="center">0.3</td>
<td align="center">237.63</td>
<td align="center">130.7</td>
<td align="center">-</td>
<td align="center">1</td>
<td align="center">130.7</td>
<td align="center">2,000,000</td>
</tr>
<tr>
<td align="center">BM-1-1</td>
<td align="center">240</td>
<td align="center">0.6</td>
<td align="center">475.35</td>
<td align="center">261.44</td>
<td align="center">149.7</td>
<td align="center">1.146</td>
<td align="center">299.65</td>
<td align="center">157,754</td>
</tr>
<tr>
<td align="center">BM-1-2</td>
<td align="center">240</td>
<td align="center">0.5</td>
<td align="center">396.23</td>
<td align="center">217.93</td>
<td align="center">331.9</td>
<td align="center">1.327</td>
<td align="center">293.01</td>
<td align="center">182,131</td>
</tr>
<tr>
<td align="center">BM-1-3</td>
<td align="center">240</td>
<td align="center">0.4</td>
<td align="center">316.91</td>
<td align="center">174.3</td>
<td align="center">249.8</td>
<td align="center">1.286</td>
<td align="center">223.73</td>
<td align="center">506,052</td>
</tr>
<tr>
<td align="center">BM-2-1</td>
<td align="center">480</td>
<td align="center">0.6</td>
<td align="center">475.53</td>
<td align="center">261.54</td>
<td align="center">333.9</td>
<td align="center">1.379</td>
<td align="center">351.96</td>
<td align="center">74,936</td>
</tr>
<tr>
<td align="center">BM-2-2</td>
<td align="center">480</td>
<td align="center">0.5</td>
<td align="center">396.22</td>
<td align="center">217.92</td>
<td align="center">322.9</td>
<td align="center">1.298</td>
<td align="center">291.81</td>
<td align="center">198,893</td>
</tr>
<tr>
<td align="center">BM-2-3</td>
<td align="center">480</td>
<td align="center">0.4</td>
<td align="center">316.97</td>
<td align="center">174.33</td>
<td align="center">353.7</td>
<td align="center">1.387</td>
<td align="center">236.54</td>
<td align="center">374,055</td>
</tr>
<tr>
<td align="center">BM-3-1</td>
<td align="center">960</td>
<td align="center">0.6</td>
<td align="center">475.51</td>
<td align="center">261.53</td>
<td align="center">362.6</td>
<td align="center">1.443</td>
<td align="center">356.08</td>
<td align="center">62,421</td>
</tr>
<tr>
<td align="center">BM-3-2</td>
<td align="center">960</td>
<td align="center">0.5</td>
<td align="center">396.09</td>
<td align="center">217.85</td>
<td align="center">524.3</td>
<td align="center">1.401</td>
<td align="center">310.13</td>
<td align="center">146,624</td>
</tr>
<tr>
<td align="center">BM-3-3</td>
<td align="center">960</td>
<td align="center">0.4</td>
<td align="center">316.86</td>
<td align="center">174.27</td>
<td align="center">547.5</td>
<td align="center">1.446</td>
<td align="center">249.21</td>
<td align="center">316,628</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T9" position="float">
<label>TABLE 9</label>
<caption>
<p>Fatigue test results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Specimen</th>
<th align="center">Corrosion time <italic>T</italic>/h</th>
<th align="center">Load ratio <inline-formula id="inf6">
<mml:math id="m11">
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">Max. test force <inline-formula id="inf7">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">max</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>/<inline-formula id="inf8">
<mml:math id="m13">
<mml:mrow>
<mml:mtext>kN</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">Min. test force <inline-formula id="inf9">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">min</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>/<inline-formula id="inf10">
<mml:math id="m15">
<mml:mrow>
<mml:mtext>kN</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">Test stress amplitude <inline-formula id="inf11">
<mml:math id="m16">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>/MPa</th>
<th align="center">Stress concentration factor <italic>K</italic>
<sub>c</sub>
</th>
<th align="center">Modified stress amplitude <inline-formula id="inf12">
<mml:math id="m17">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi>&#x3c3;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>/MPa</th>
<th align="center">Ratio of relative notch depth to notch radius (<italic>h</italic>
<sub>q</sub>/<italic>r</italic>)</th>
<th align="center">Fatigue life <italic>N</italic>/cycles</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">WJ-0-1</td>
<td align="center">0</td>
<td align="center">0.7</td>
<td align="center">77.32</td>
<td align="center">7.73</td>
<td align="center">434.94</td>
<td align="center">-</td>
<td align="center">434.94</td>
<td align="center">-</td>
<td align="center">24,527</td>
</tr>
<tr>
<td align="center">WJ-0-2</td>
<td align="center">0</td>
<td align="center">0.6</td>
<td align="center">66.27</td>
<td align="center">6.63</td>
<td align="center">372.75</td>
<td align="center">-</td>
<td align="center">372.75</td>
<td align="center">-</td>
<td align="center">55,471</td>
</tr>
<tr>
<td align="center">WJ-0-3</td>
<td align="center">0</td>
<td align="center">0.55</td>
<td align="center">60.75</td>
<td align="center">6.07</td>
<td align="center">341.75</td>
<td align="center">-</td>
<td align="center">341.75</td>
<td align="center">-</td>
<td align="center">63,829</td>
</tr>
<tr>
<td align="center">WJ-0-4</td>
<td align="center">0</td>
<td align="center">0.5</td>
<td align="center">55.22</td>
<td align="center">5.52</td>
<td align="center">310.63</td>
<td align="center">-</td>
<td align="center">310.63</td>
<td align="center">-</td>
<td align="center">79,282</td>
</tr>
<tr>
<td align="center">WJ-0-5</td>
<td align="center">0</td>
<td align="center">0.4</td>
<td align="center">44.18</td>
<td align="center">4.42</td>
<td align="center">248.50</td>
<td align="center">-</td>
<td align="center">248.50</td>
<td align="center">-</td>
<td align="center">481,872</td>
</tr>
<tr>
<td align="center">WJ-0-6</td>
<td align="center">0</td>
<td align="center">0.3</td>
<td align="center">33.14</td>
<td align="center">3.31</td>
<td align="center">186.44</td>
<td align="center">-</td>
<td align="center">186.44</td>
<td align="center">-</td>
<td align="center">863,735</td>
</tr>
<tr>
<td align="center">WJ-1-1</td>
<td align="center">240</td>
<td align="center">0.6</td>
<td align="center">66.27</td>
<td align="center">6.63</td>
<td align="center">373.99</td>
<td align="center">1.229</td>
<td align="center">459.63</td>
<td align="center">1.944</td>
<td align="center">17,699</td>
</tr>
<tr>
<td align="center">WJ-1-2</td>
<td align="center">240</td>
<td align="center">0.5</td>
<td align="center">55.22</td>
<td align="center">5.52</td>
<td align="center">311.55</td>
<td align="center">1.195</td>
<td align="center">372.31</td>
<td align="center">1.782</td>
<td align="center">46,973</td>
</tr>
<tr>
<td align="center">WJ-1-3</td>
<td align="center">240</td>
<td align="center">0.4</td>
<td align="center">44.18</td>
<td align="center">4.42</td>
<td align="center">249.26</td>
<td align="center">1.185</td>
<td align="center">295.37</td>
<td align="center">1.658</td>
<td align="center">137,261</td>
</tr>
<tr>
<td align="center">WJ-2-1</td>
<td align="center">480</td>
<td align="center">0.6</td>
<td align="center">66.27</td>
<td align="center">6.63</td>
<td align="center">374.60</td>
<td align="center">1.341</td>
<td align="center">502.34</td>
<td align="center">4.648</td>
<td align="center">11,728</td>
</tr>
<tr>
<td align="center">WJ-2-2</td>
<td align="center">480</td>
<td align="center">0.5</td>
<td align="center">55.22</td>
<td align="center">5.52</td>
<td align="center">312.21</td>
<td align="center">1.319</td>
<td align="center">411.80</td>
<td align="center">3.400</td>
<td align="center">29,445</td>
</tr>
<tr>
<td align="center">WJ-2-3</td>
<td align="center">480</td>
<td align="center">0.4</td>
<td align="center">44.18</td>
<td align="center">4.42</td>
<td align="center">249.66</td>
<td align="center">1.334</td>
<td align="center">333.04</td>
<td align="center">3.389</td>
<td align="center">78,717</td>
</tr>
<tr>
<td align="center">WJ-3-1</td>
<td align="center">960</td>
<td align="center">0.6</td>
<td align="center">66.27</td>
<td align="center">6.63</td>
<td align="center">375.08</td>
<td align="center">1.359</td>
<td align="center">509.74</td>
<td align="center">6.728</td>
<td align="center">Test</td>
</tr>
<tr>
<td align="center">WJ-3-2</td>
<td align="center">960</td>
<td align="center">0.5</td>
<td align="center">55.22</td>
<td align="center">5.52</td>
<td align="center">312.84</td>
<td align="center">1.372</td>
<td align="center">429.22</td>
<td align="center">6.649</td>
<td align="center">24,305</td>
</tr>
<tr>
<td align="center">WJ-3-3</td>
<td align="center">960</td>
<td align="center">0.4</td>
<td align="center">44.18</td>
<td align="center">4.42</td>
<td align="center">250.21</td>
<td align="center">1.359</td>
<td align="center">340.03</td>
<td align="center">5.000</td>
<td align="center">71,492</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The S-N curve method is commonly used for fatigue life assessment. This method is based on the linear cumulative damage hypothesis, where each cycle of loading causes a certain degree of damage to the specimen. Failure occurs when the accumulated damage reaches a critical value. The S-N curve is expressed by a power function relationship (<xref ref-type="disp-formula" rid="e6">Equation 6</xref>):<disp-formula id="e6">
<mml:math id="m18">
<mml:mrow>
<mml:msubsup>
<mml:mi>S</mml:mi>
<mml:mi>max</mml:mi>
<mml:mi>m</mml:mi>
</mml:msubsup>
<mml:mi>N</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>where:<list list-type="simple">
<list-item>
<p>
<italic>S</italic>
<sub>max</sub>: maximum applied stress (MPa),</p>
</list-item>
<list-item>
<p>
<italic>N</italic>: fatigue life (number of cycles),</p>
</list-item>
<list-item>
<p>
<italic>m</italic> and <italic>C</italic>: material-dependent constants.</p>
</list-item>
</list>
</p>
<p>For the high-cycle fatigue tests discussed in this paper, a functional relationship expressed in terms of stress amplitude is commonly used (<xref ref-type="disp-formula" rid="e7">Equation 7</xref>):<disp-formula id="e7">
<mml:math id="m19">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>m</mml:mi>
</mml:msup>
<mml:mi>N</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf13">
<mml:math id="m20">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi>&#x3c3;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the stress amplitude in MPa.</p>
<p>The baseline S-N curve for uncorroded EH690 base metal was obtained by fitting the experimental data. The fitted stress amplitude values were derived by substituting the fatigue life of corroded specimens into this curve. The stress concentration factor, <italic>K</italic>
<sub>c</sub>, was then determined by dividing these fitted stress amplitudes by the experimental stress amplitudes. By fitting the relationship between the stress concentration factor <italic>K</italic>
<sub>c</sub> and surface roughness parameters using the least squares method, it was found that <italic>S</italic>
<sub>a</sub> and <italic>S</italic>
<sub>q</sub> exhibited poor correlation with <italic>K</italic>
<sub>c</sub>. However, the surface roughness parameter <inline-formula id="inf14">
<mml:math id="m21">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">z</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> showed a positive correlation with <italic>K</italic>
<sub>c</sub>, increasing consistently, as illustrated in <xref ref-type="fig" rid="F12">Figure 12</xref>. Therefore, the fatigue life of the base metal under different roughness conditions can be evaluated by modifying the experimental stress amplitude using the following relationships (<xref ref-type="disp-formula" rid="e8">Equations 8</xref>&#x2013;<xref ref-type="disp-formula" rid="e10">10</xref>):<disp-formula id="e8">
<mml:math id="m22">
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>5.6261</mml:mn>
<mml:mfrac>
<mml:mrow>
<mml:mi>ln</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>z</mml:mi>
</mml:msub>
</mml:mrow>
<mml:msubsup>
<mml:mi>S</mml:mi>
<mml:mi>z</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.8</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1.6587</mml:mn>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
<disp-formula id="e9">
<mml:math id="m23">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>M</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mo>.</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>T</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
<disp-formula id="e10">
<mml:math id="m24">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>5892.612</mml:mn>
<mml:mo>&#x394;</mml:mo>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.24888</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>where:<list list-type="simple">
<list-item>
<p>
<italic>K</italic>
<sub>c</sub>: stress concentration factor,</p>
</list-item>
<list-item>
<p>
<italic>S</italic>
<sub>z</sub>: maximum surface corrosion height, with valid values ranging from 149.7 to 547.5 &#x3bc;m,</p>
</list-item>
<list-item>
<p>
<inline-formula id="inf15">
<mml:math id="m25">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c3;</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>: experimental stress amplitude in MPa,</p>
</list-item>
<list-item>
<p>
<inline-formula id="inf16">
<mml:math id="m26">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c3;</mml:mi>
<mml:mi mathvariant="normal">M</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>: modified stress amplitude in MPa.</p>
</list-item>
</list>
</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Fitted curve: relationship between <inline-formula id="inf17">
<mml:math id="m27">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi mathvariant="normal">z</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf18">
<mml:math id="m28">
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi mathvariant="normal">C</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
</caption>
<graphic xlink:href="fmats-13-1778608-g012.tif">
<alt-text content-type="machine-generated">Scatter plot with black squares showing data for Stress Concentration Factor Kc versus Sz in micrometers, displaying a red curve indicating a positive correlation as Sz increases from 100 to 600 micrometers.</alt-text>
</graphic>
</fig>
<p>After correction of the experimental stress amplitude, the resulting data are presented in <xref ref-type="fig" rid="F13">Figure 13</xref>. In practical engineering applications, accurate prediction of the fatigue life of EH690 steel can be achieved simply by obtaining the actual stress amplitude and the maximum surface corrosion height, and applying this functional relationship.</p>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>S-N curves for base material: <bold>(a)</bold> Unmodified stress amplitude; <bold>(b)</bold> Modified stress amplitude.</p>
</caption>
<graphic xlink:href="fmats-13-1778608-g013.tif">
<alt-text content-type="machine-generated">Two side-by-side scatter plots show the relationship between stress amplitude and fatigue life for different specimens. Plot (a) features colored points representing samples exposed to 0, 240, 480, and 900 hours, along with a red S-N curve for the base material. Plot (b) displays blue squares for corrosion specimens, red squares for base materials, and a black S-N curve for the base material, each indicating a negative correlation between stress amplitude and fatigue life.</alt-text>
</graphic>
</fig>
<p>The test results indicate that with increasing corrosion time, the combined effects of material loss and increased surface roughness lead to a significant and progressive reduction in the fatigue life of the specimens. At higher load levels (0.6&#x2013;0.5 times the yield strength), surface roughness exerts a major influence on fatigue life, as the associated stress concentration becomes the primary driver for crack initiation. In contrast, the effect of roughness is relatively weaker at lower load levels (0.4 times the yield strength).</p>
<p>The fracture positions of the 15 corrosion fatigue specimens (Contains 6 uncorroded specimens and 9 corroded specimens) tested in this test all occur in the corrosion notch of the weld toe, as shown in <xref ref-type="fig" rid="F14">Figure 14</xref>. By observing the macroscopic section of the fatigue specimen, the cracks in the butt fatigue specimen always start and expand in the weld area. After fatigue loading of the butt joint, cracks occur in the corrosion pit at the bottom of the notch. As shown in <xref ref-type="fig" rid="F15">Figure 15</xref>.</p>
<fig id="F14" position="float">
<label>FIGURE 14</label>
<caption>
<p>Schematic of failure location and macro fracture: <bold>(a)</bold> Uncorroded fatigue specimens; <bold>(b)</bold> Corrosion fatigue specimens.</p>
</caption>
<graphic xlink:href="fmats-13-1778608-g014.tif">
<alt-text content-type="machine-generated">Four metallurgical sample pieces are shown in a vertical row in panel a, with an arrow pointing to a close-up of a single fractured cross-section. Panel b displays three similar samples with visible surface cracks and an arrow pointing to another close-up cross-section showing a different fracture surface.</alt-text>
</graphic>
</fig>
<fig id="F15" position="float">
<label>FIGURE 15</label>
<caption>
<p>The location of the corrosion notch crack at the weld toe after fatigue loading of the butt joint.</p>
</caption>
<graphic xlink:href="fmats-13-1778608-g015.tif">
<alt-text content-type="machine-generated">Microscopy image showing a dark region at the top and a lighter textured area at the bottom, with a red dashed rectangle highlighting the crack origination location, indicated by an arrow and label; scale bar denotes one hundred micrometers.</alt-text>
</graphic>
</fig>
<p>The maximum stress was modified by calculating the stress concentration factor. Corrosion notches on both the left and right sides of the weld are shown in <xref ref-type="fig" rid="F16">Figure 16</xref>.</p>
<fig id="F16" position="float">
<label>FIGURE 16</label>
<caption>
<p>Cross-sectional view of the deepest corrosion notch at the weld.</p>
</caption>
<graphic xlink:href="fmats-13-1778608-g016.tif">
<alt-text content-type="machine-generated">Cross-sectional diagram illustrating a corroded region around a weld joint, with labeled measurements including corrosion test specimen thickness h, minimum notch thickness d, relative notch depth hn, and sections for base material and weld joint.</alt-text>
</graphic>
</fig>
<p>In the course of the previous research, the S-N curve of the EH690 high-strength steel butt joint without corrosion has been established (&#x394;&#x3c3;<sub>T</sub>
<sup>4.6322</sup>&#x22c5;<italic>N</italic> &#x3d; 3.8088 &#xd7; 10<sup>16</sup>). The test results of fatigue life of EH690 high-strength steel butt joints after corrosion are shown in <xref ref-type="table" rid="T9">Table 9</xref> and <xref ref-type="fig" rid="F17">Figure 17a</xref>. The test results show that under the same corrosion conditions, the fatigue life of the specimen decreases significantly with the increase of stress amplitude, and the fatigue life index m value is basically the same as that of the uncorroded specimen. Under the same fatigue load, the fatigue life of the specimen gradually decreases with the extension of corrosion time, and the longer the corrosion time, the more obvious the decreasing trend of life is. Through micromorphological observation and stress analysis, it can be seen that the corrosion environment will cause the weld toe of the specimen to form a corrosion notch, and form a stress concentration in the local corrosion pit at the bottom of the corrosion notch, so that cracks will occur under the action of fatigue load. The deeper the relative corrosion notch depth <italic>h</italic>
<sub>q</sub>, the smaller the notch radius <italic>h</italic>
<sub>q</sub> of the local corrosion pit, the more obvious the stress concentration phenomenon and the more the fatigue life decreases. Based on the fact that the fatigue life index m of EH690 high-strength steel before and after corrosion is basically unchanged, it is assumed that the actual stress amplitude &#x394;&#x3c3; of the corroded specimen is the same as that of the uncorroded specimen under the same fatigue life, and the stress concentration coefficient <italic>K</italic>
<sub>c</sub> is calculated based on linear regression. The actual stress amplitude and fatigue life of the corrosion fatigue specimen corrected by the stress concentration coefficient are shown in <xref ref-type="fig" rid="F17">Figure 17b</xref>.</p>
<fig id="F17" position="float">
<label>FIGURE 17</label>
<caption>
<p>S-N curves for welded joint: <bold>(a)</bold> Unmodified stress amplitude; <bold>(b)</bold> Modified stress amplitude.</p>
</caption>
<graphic xlink:href="fmats-13-1778608-g017.tif">
<alt-text content-type="machine-generated">Left panel (a) shows a scatter plot of test stress amplitude versus fatigue life for welded joints at four corrosion durations, with a downward-sloping red S-N curve; right panel (b) displays a similar plot using modified stress amplitude, with blue and red points representing corrosion specimens and welded joints, along with a black S-N curve for the welded joint.</alt-text>
</graphic>
</fig>
<p>According to the existing research results (<xref ref-type="bibr" rid="B24">Singh, 2025</xref>) and the test results of this test, the stress concentration degree of the corrosion notch is affected by the relative notch depth <italic>h</italic>
<sub>q</sub> and the notch radius <italic>r</italic>, which is directly proportional to the relative corrosion notch depth <italic>h</italic>
<sub>q</sub> and inversely proportional to the local corrosion pit notch radius <italic>r</italic>. Based on the experimentally measured <italic>h</italic>
<sub>q</sub>, <italic>r</italic> (<xref ref-type="table" rid="T7">Table 7</xref>), stress amplitude &#x394;&#x3c3;<sub>T</sub> and fatigue life <italic>N</italic>, the functional relationship between the stress concentration coefficient <italic>K</italic>
<sub>c</sub> and the corrosion notch geometric parameters (such as the ratio of relative notch depth <italic>h</italic>
<sub>q</sub> to the notch radius <italic>r</italic>) is derived by the least squares method, as shown in <xref ref-type="fig" rid="F18">Figure 18</xref> and <xref ref-type="disp-formula" rid="e11">Equation 11</xref>.<disp-formula id="e11">
<mml:math id="m29">
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.15482</mml:mn>
<mml:msqrt>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mi>q</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:msqrt>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>
</p>
<fig id="F18" position="float">
<label>FIGURE 18</label>
<caption>
<p>Fitted curves: relationship between <inline-formula id="inf19">
<mml:math id="m30">
<mml:mrow>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mi mathvariant="normal">q</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf20">
<mml:math id="m31">
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi mathvariant="normal">c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
</caption>
<graphic xlink:href="fmats-13-1778608-g018.tif">
<alt-text content-type="machine-generated">Scatter plot with a red trend line showing Stress Concentration Factor Kc on the y-axis versus Ratio of relative notch depth to notch radius hq/r on the x-axis, indicating Kc increases as hq/r rises.</alt-text>
</graphic>
</fig>
<p>In practical engineering applications, by measuring the corrosion morphology parameters of EH690 butt-welded joints (relative notch depth <italic>h</italic>
<sub>q</sub> and notch radius <italic>r</italic>), the stress concentration factor can be obtained directly through this equation, enabling accurate prediction of their fatigue life. This approach significantly reduces the workload associated with fatigue life assessment in engineering practice.</p>
</sec>
<sec sec-type="conclusion" id="s5">
<label>5</label>
<title>Conclusion</title>
<p>Based on the corrosion and fatigue tests conducted on EH690 high-strength steel base metal and its welded joints, the following conclusions are drawn:<list list-type="order">
<list-item>
<p>With prolonged corrosion time (240 h&#x2013;960 h), the mass loss and equivalent thickness reduction of the base metal intensified continuously, accompanied by increased surface roughness and localized deep pitting. The mass loss increased by 75.74% from 240 h to 960 h, and the surface roughness (<italic>S</italic>
<sub>a</sub>) value rose to 203.37 &#x3bc;m at 960 h (compared to 47.15 &#x3bc;m at 240 h). At the weld toe, the corrosion notch depth increased significantly while the notch radius decreased consistently, resulting in a progressively sharper geometry. By 960 h, the notch depth had increased by 17.4%, and the radius had decreased by 66.1% relative to the values at 240 h.</p>
</list-item>
<list-item>
<p>With increasing exposure time in the salt spray environment, the fatigue life of corroded specimens decreased significantly compared to uncorroded specimens under the same stress level. The influence of surface roughness on fatigue life was more pronounced under higher load levels. The evolution of corrosion notch morphology led to a monotonic increase in the stress concentration factor, which consequently resulted in a notable reduction in the fatigue life of welded joints. The actual stress-based S-N curve more accurately reflects the fatigue behavior under service conditions.</p>
</list-item>
<list-item>
<p>A correlation model between the geometric parameters of corrosion notch morphology and the stress concentration factor was established. A method for modifying the stress amplitude of corroded EH690 welded joints was proposed, enabling accurate fatigue life prediction through the measurement of corrosion notch geometric parameters. This provides a theoretical basis for the anti-fatigue design, life assessment, and maintenance cycle planning of steel structures.</p>
</list-item>
</list>
</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<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 sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>CL: Writing &#x2013; original draft, Writing &#x2013; review and editing. ZL: Writing &#x2013; original draft, Writing &#x2013; review and editing. YZ: Writing &#x2013; original draft, Writing &#x2013; review and editing. BX: Writing &#x2013; review and editing, Writing &#x2013; original draft. CC: Writing &#x2013; review and editing, Writing &#x2013; original draft. ZP: Writing &#x2013; original draft, Writing &#x2013; review and editing.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>Author(s) CL, ZL, YZ, and BX were employed by Shanghai Branch of CNOOC (China) Co., Ltd.</p>
<p>The remaining author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s10">
<title>Generative AI statement</title>
<p>The author(s) declared that generative AI was not used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<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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<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1479991/overview">Ehsan Ghassemali</ext-link>, J&#xf6;nk&#xf6;ping University, Sweden</p>
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<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3344621/overview">Qing Zhang</ext-link>, J&#xf6;nk&#xf6;ping University, Sweden</p>
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<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3346213/overview">Katerina Chantziara</ext-link>, Karlstad University, Sweden</p>
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