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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Energy Res.</journal-id>
<journal-title>Frontiers in Energy Research</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Energy Res.</abbrev-journal-title>
<issn pub-type="epub">2296-598X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">663578</article-id>
<article-id pub-id-type="doi">10.3389/fenrg.2021.663578</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Energy Research</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Effect of Rolling Deformation on Creep Properties of FeCrAl Alloys</article-title>
<alt-title alt-title-type="left-running-head">Lai et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">Hot-Rolling Effect on Creep Properties</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Lai</surname>
<given-names>Huan Sheng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1217902/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Guo</surname>
<given-names>Jingyu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Shanglin</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yu</surname>
<given-names>Xiaobin</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1275593/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Meng</surname>
<given-names>Fanqiang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1292915/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zhao</surname>
<given-names>Zilong</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zhou</surname>
<given-names>Wenzhong</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/1066467/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<label>
<sup>1</sup>
</label>Sino-French Institute of Nuclear Engineering and Technology, Sun Yat-sen University, <addr-line>Zhuhai</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<label>
<sup>2</sup>
</label>Science and Technology on Reactor System Design Technology Laboratory, Nuclear Power Institute of China, <addr-line>Chengdu</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<label>
<sup>3</sup>
</label>Suzhou Nuclear Power Research Institute, <addr-line>Suzhou</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<label>
<sup>4</sup>
</label>School of Chemical Engineering and Technology, Sun Yat-sen University, <addr-line>Zhuhai</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/447098/overview">Jun Wang</ext-link>, University of Wisconsin-Madison, United&#x20;States</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/143714/overview">Zhangjian Zhou</ext-link>, University of Science and Technology Beijing, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1312645/overview">Xiazi Xiao</ext-link>, Central South University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Zilong Zhao, <email>zhaozlong@mail.sysu.edu.cn</email>; Wenzhong Zhou, <email>zhouwzh3@mail.sysu.edu.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Nuclear Energy, a section of the journal Frontiers in Energy Research</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>25</day>
<month>06</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>9</volume>
<elocation-id>663578</elocation-id>
<history>
<date date-type="received">
<day>03</day>
<month>02</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>31</day>
<month>05</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2021 Lai, Guo, Zhang, Yu, Meng, Zhao and Zhou.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Lai, Guo, Zhang, Yu, Meng, Zhao and Zhou</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>FeCrAl alloy is one of the most promising nuclear fuel claddings among many accident tolerant fuel (ATF) materials due to its excellent oxidation resistance and good mechanical properties. However, the effect of process conditions on the creep properties of the FeCrAl alloy is not clear till now. In this study, the impact of a process condition of hot-rolling on the creep properties of FeCrAl alloy was investigated using a nano-indentation creep test under a temperature of 350&#xb0;C. The microanalysis results indicated that the grain size became smaller with the increase of the hot-rolling thickness reduction. The nano-indentation creep test results showed that the creep power-law stress exponent was about four, and the creep resistance increased when the hot-rolling thickness reduction increased.</p>
</abstract>
<kwd-group>
<kwd>FeCrAl</kwd>
<kwd>creep</kwd>
<kwd>process condition</kwd>
<kwd>hot-rolling</kwd>
<kwd>nano-indentation creep</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>The core of a nuclear reactor exposes to a high-temperature steam environment when the nuclear reactor is in a loss of coolant accident. In this way, zirconium alloys are no longer the best choice of the cladding material in the cores of light-water reactors because the zirconium alloys react with steam over the high temperature of 1,200&#xb0;C, and the reaction releases a lot of heat and hydrogen gas (<xref ref-type="bibr" rid="B9">Moalem and Olander, 1991</xref>; <xref ref-type="bibr" rid="B11">Pint et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B19">Yamamoto et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B3">Gamble et&#x20;al., 2017</xref>). Accident tolerant fuel (ATF) materials hence have been proposed to avoid the disadvantage of the zirconium alloys (<xref ref-type="bibr" rid="B22">Zinkle et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B15">Terrani et&#x20;al., 2014</xref>).</p>
<p>The high-strength wrought material of FeCrAl alloy is one of the materials that can meet the required conditions of ATF, which have high melting temperature and good mechanical and chemical properties, especially the excellent oxidation resistance at high temperature (<xref ref-type="bibr" rid="B14">Tang et&#x20;al., 2018</xref>). The creep properties of FeCrAl alloy have been extensively investigated to achieve the goal of using the FeCrAl alloy as a cladding material. The power-law creep constitutive model was obtained at the temperature lower than 600&#xb0;C (<xref ref-type="bibr" rid="B12">Saunders et&#x20;al., 1997</xref>) and at the temperature above 600&#xb0;C for the FeCrAl alloy (<xref ref-type="bibr" rid="B16">Terrani et&#x20;al., 2016</xref>); the power-law creep stress exponent of <italic>n</italic> was a constant value of 5.5, but the power-law creep constant was dependent on the temperature. Two rupture regimes were observed under the long-term creep and the oxidation test for the FeCrAl foils (<xref ref-type="bibr" rid="B1">Dryepondt et&#x20;al., 2012</xref>). The creep deformation mechanism of FeCrAl oxide dispersion strengthened (ODS) alloy was divided into three regions; <italic>n</italic> ranged from two to five in region II but was around 20 in regions I and III (<xref ref-type="bibr" rid="B8">Masuda et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B5">Kamikawa et&#x20;al., 2018</xref>). The creep deformation mechanism of the cooperative grain boundary sliding was found for FeCrAl ODS alloy (<xref ref-type="bibr" rid="B5">Kamikawa et&#x20;al., 2018</xref>), and the creep constitutive model related to the interparticle distance was proposed for FeCrAl ODS alloy (<xref ref-type="bibr" rid="B18">Ukai et&#x20;al., 2020</xref>). However, little work has been done to examine the effect of process conditions on the creep properties of the FeCrAl&#x20;alloy.</p>
<p>The nano-indentation test can obtain the mechanical properties such as hardness, elastic modulus, and residual stress (<xref ref-type="bibr" rid="B2">Fischer-Cripps, 2006</xref>; <xref ref-type="bibr" rid="B13">Sebastiani et&#x20;al., 2011</xref>). In comparison to the traditional creep test which takes thousands of hours to obtain the creep properties, the nano-indentation creep test just needs tens of minutes. Therefore, the nano-indentation creep test has been widely accepted and used to test the creep properties for many materials (<xref ref-type="bibr" rid="B17">Thornby et&#x20;al., 2021</xref>; <xref ref-type="bibr" rid="B20">Zhang et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B7">Li et&#x20;al., 2019</xref>).</p>
<p>In this study, the effect of a process condition of hot-rolling thickness reduction on the creep properties of FeCrAl alloy was investigated using a nano-indentation creep test. The microstructure of the FeCrAl alloy was analyzed using an optical microscope first. After that, a nano-indentation creep test was carried out. The effect of the hot-rolling thickness reduction on the power-law creep model was finally obtained.</p>
</sec>
<sec id="s2">
<title>Experimental Procedure</title>
<p>The as-received sheet material of FeCrAl alloy, which was prepared using induction melting, followed by forging at 1,200&#xb0;C, and hot-rolling down to thickness of 5&#xa0;mm at 1,100&#xb0;C, was used in this research. The chemical composition of the alloy is shown in <xref ref-type="table" rid="T1">Table&#x20;1</xref>. Due to the low ductility at room temperature, the alloy was rolled under the temperature of 300&#xb0;C in order to avoid cracking and recrystallization. The rolling thickness reduction was fixed at 0.5&#xa0;mm for each time. Therefore, two different thicknesses of 2 and 0.5&#xa0;mm of the FeCrAl alloy plates were obtained after 6 and 9&#x20;times of the hot-rolling, respectively, as shown in <xref ref-type="fig" rid="F1">Figure&#x20;1</xref>. This meant that the two plates showed 60 and 90% total thickness reduction, respectively, after hot-rolling. Several samples were mechanically polished, and then were electropolished using perchloric, an acid and alcohol mixed liquid. After that, parts of the samples were etched in a solution of 30&#xa0;ml HCl, 10&#xa0;ml HNO<sub>3</sub>, and 20&#xa0;ml C<sub>3</sub>H<sub>8</sub>O<sub>3</sub> to characterize the alloy&#x2019;s microstructures using an optical microscope, and the remaining samples were used to carry out nano-indentation creep tests. Note that there were no oxides on the nano-indentation creep test samples because the samples were polished.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Chemical composition of FeCrAl alloy, wt%.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Fe</th>
<th align="center">Cr</th>
<th align="center">Al</th>
<th align="center">Si</th>
<th align="center">Y</th>
<th align="center">C</th>
<th align="center">P</th>
<th align="center">N</th>
<th align="center">S</th>
<th align="center">O</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="char" char=".">81.3417</td>
<td align="char" char=".">13.06</td>
<td align="char" char=".">5.4</td>
<td align="char" char=".">0.13</td>
<td align="char" char=".">0.053</td>
<td align="char" char=".">0.005</td>
<td align="char" char=".">0.004</td>
<td align="char" char=".">0.0035</td>
<td align="char" char=".">0.002</td>
<td align="char" char=".">0.0008</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>FeCrAl alloy plates: <bold>(A)</bold> 60% total thickness reduction and <bold>(B)</bold> 90% total thickness reduction.</p>
</caption>
<graphic xlink:href="fenrg-09-663578-g001.tif"/>
</fig>
<p>Nano-indentation tester with the thermal drift of 0.05&#xa0;nm/s was used to carry out the test. The diamond Berkovich indenter with the three-sided pyramid was used in this study. In a light-water reactor, light water was used as the primary coolant, with a temperature of about 350&#xb0;C (<xref ref-type="bibr" rid="B12">Saunders et&#x20;al., 1997</xref>; <xref ref-type="bibr" rid="B10">Park et&#x20;al., 2015</xref>). Therefore, the nano-indentation creep tests were carried out at the temperature of 350&#xb0;C. Four different applied loads of 100&#xa0;mN, 200&#xa0;mN, 300&#xa0;mN, and 400&#xa0;mN were used for creep generation. The loading time from the 0&#xa0;mN to the applied loads was fixed as 30&#xa0;s, the holding time of the applied loads was set as 600&#xa0;s, and the unloading time from the applied loads to 0&#xa0;mN was fixed as 60&#xa0;s. The time, displacement, and applied loads were recorded automatically during the&#x20;tests.</p>
</sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<sec id="s3-1">
<title>Microstructure of FeCrAl Alloy</title>
<p>The microstructure of FeCrAl alloy is shown in <xref ref-type="fig" rid="F2">Figure&#x20;2</xref>. As shown in <xref ref-type="fig" rid="F2">Figures 2A,B</xref>, the grain boundaries were clear for the alloy, with 60% total thickness reduction. The grain deformation was slight, and the grain size was about 220&#xa0;&#x3bc;m, even though it was slightly elongated to the rolling direction. For the alloy with 90% total thickness reduction, as shown in <xref ref-type="fig" rid="F2">Figures 2C,D</xref>, the grain deformation was very significant, and it was challenging to find an equal-axis grain. All grains were elongated to the rolling direction, and the grain size was about 100&#xa0;&#x3bc;m, which was smaller than that of the alloy with 60% total thickness reduction. The grain size was not uniform, and the grain length was much larger in the rolling direction. Therefore, the grains became flat and were elongated along the rolling direction after the hot-rolling due to the rolling force perpendicular to the rolling surface. This phenomenon accounted for the rolling process providing the energy for the dynamic recrystallization of the crystal. The larger the rolling thickness reduction was, the more energy was provided to the crystal and the more grains completed the dynamic recrystallization process. Similar results were also found by <xref ref-type="bibr" rid="B19">Yamamoto et&#x20;al., (2015)</xref> and <xref ref-type="bibr" rid="B21">Zheng et&#x20;al., (2019)</xref>. In addition, the tiny black dots were defects or inclusions which were produced during metallurgy.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Optical microscope images of FeCrAl alloy. <bold>(A)</bold> Low magnification with 60% total thickness reduction, <bold>(B)</bold> high magnification with 60% total thickness reduction, <bold>(C)</bold> low magnification with 90% total thickness reduction, and <bold>(D)</bold> high magnification with 90% total thickness reduction.</p>
</caption>
<graphic xlink:href="fenrg-09-663578-g002.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>Nano-Indentation Creep Test</title>
<p>The steady-state creep strain rate also satisfies the power-law creep model in the nano-indentation creep test as follows (<xref ref-type="bibr" rid="B4">Goodall and Clyne, 2006</xref>):<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>A</mml:mi>
<mml:msup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>n</mml:mi>
</mml:msup>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where <inline-formula id="inf1">
<mml:math id="m2">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> is the creep strain rate, <inline-formula id="inf2">
<mml:math id="m3">
<mml:mi>&#x3c3;</mml:mi>
</mml:math>
</inline-formula> is the applied stress, <italic>A</italic> is the power-law creep constant, and <italic>n</italic> is the power-law creep stress exponent. In the nano-indentation creep test, <inline-formula id="inf3">
<mml:math id="m4">
<mml:mi>&#x3c3;</mml:mi>
</mml:math>
</inline-formula> is calculated using the same function as the traditional tension creep test by<disp-formula id="e2">
<mml:math id="m5">
<mml:mrow>
<mml:mi>&#x3c3;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mo>/</mml:mo>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where <italic>F</italic> is the applied load and <italic>S</italic> is the projected contact area. For the used Berkovich indenter in the tests, <inline-formula id="inf4">
<mml:math id="m6">
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>24.56</mml:mn>
<mml:msubsup>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mtext>pc</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, where <inline-formula id="inf5">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mtext>pc</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the contact displacement.</p>
<p>
<inline-formula id="inf6">
<mml:math id="m8">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> is defined as follows during the indentation period (<xref ref-type="bibr" rid="B10">Park et&#x20;al., 2015</xref>):<disp-formula id="e3">
<mml:math id="m9">
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mtext>c</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mfrac>
<mml:mrow>
<mml:mtext>d</mml:mtext>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mtext>c</mml:mtext>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mtext>d</mml:mtext>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where <inline-formula id="inf7">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mtext>c</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the creep displacement. Substituting <xref ref-type="disp-formula" rid="e2">Eqs. 2,</xref> <xref ref-type="disp-formula" rid="e3">3</xref> into <xref ref-type="disp-formula" rid="e1">Eq. 1</xref>, the creep power-law stress exponent <italic>n</italic> is calculated by the following:<disp-formula id="e4">
<mml:math id="m11">
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>ln</mml:mi>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>ln</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>&#x3c3;</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>ln</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mtext>c</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mfrac>
<mml:mrow>
<mml:mtext>d</mml:mtext>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mtext>c</mml:mtext>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mtext>d</mml:mtext>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>ln</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mi>F</mml:mi>
<mml:mrow>
<mml:mn>24.56</mml:mn>
<mml:msubsup>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mtext>pc</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>The values of <italic>F</italic>, <inline-formula id="inf8">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mtext>c</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf9">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mtext>pc</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> can be measured from the nano-indentation creep test. When these values were obtained, the value of <italic>n</italic> can be calculated using <xref ref-type="disp-formula" rid="e4">Eq.&#x20;4</xref>.</p>
<p>The nano-indentation creep test results of the indentation load and the corresponding displacement are shown in <xref ref-type="fig" rid="F3">Figure&#x20;3</xref>. As shown in <xref ref-type="fig" rid="F3">Figure&#x20;3</xref>, the displacement increased with increase of load. When the load was larger than 100&#xa0;mN, the displacement first decreased to a certain value and then kept on increasing in the load holding stage or the creep stage. The possible reason was that the loading rate was slightly large, because this phenomenon did not appear in the load of 100&#xa0;mN.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Nano-indentation creep test results of the indentation load and the corresponding displacement for FeCrAl alloys at the temperature of 350&#xb0;C: <bold>(A)</bold> 60% total thickness reduction and <bold>(B)</bold> 90% total thickness reduction.</p>
</caption>
<graphic xlink:href="fenrg-09-663578-g003.tif"/>
</fig>
<p>The nano-indentation creep test results are shown in <xref ref-type="fig" rid="F4">Figure&#x20;4</xref> for the variation of the creep displacement with the creep time at the temperature of 350&#xb0;C. As shown in <xref ref-type="fig" rid="F4">Figure&#x20;4</xref>, the creep displacement increased with the applied load increase because the creep deformation increased with the applied load. Also, as shown in <xref ref-type="fig" rid="F4">Figure&#x20;4</xref>, the creep displacement curves were similar to those of the traditional creep tests. They could be divided into two creep stages, that is, the primary creep stage and the steady-state creep stage. The primary creep stage was much shorter. As shown in <xref ref-type="fig" rid="F4">Figure&#x20;4</xref>, after the time of 200&#xa0;s, all curves almost reached the steady-state creep stage. Therefore, the power-law creep model was fitted using the curves after the time of 200&#xa0;s.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Nano-indentation creep test results of FeCrAl alloys at the temperature of 350&#xb0;C: <bold>(A)</bold> 60% total thickness reduction and <bold>(B)</bold> 90% total thickness reduction.</p>
</caption>
<graphic xlink:href="fenrg-09-663578-g004.tif"/>
</fig>
<p>When the values of <italic>F</italic>, <italic>h</italic>
<sub>
<italic>c</italic>
</sub>, and <italic>h</italic>
<sub>
<italic>pc</italic>
</sub> were measured from the nano-indentation creep test, the values of <inline-formula id="inf10">
<mml:math id="m14">
<mml:mrow>
<mml:mi>ln</mml:mi>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf11">
<mml:math id="m15">
<mml:mrow>
<mml:mi>ln</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>&#x3c3;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> could be calculated according to <xref ref-type="disp-formula" rid="e4">Eq. 4</xref>. According to <xref ref-type="disp-formula" rid="e4">Eq. 4</xref>, the value of <italic>n</italic> was the slope of the <inline-formula id="inf12">
<mml:math id="m16">
<mml:mrow>
<mml:mi>ln</mml:mi>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>&#x2013;<inline-formula id="inf13">
<mml:math id="m17">
<mml:mrow>
<mml:mi>ln</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>&#x3c3;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> curve. The fitted results of <italic>n</italic> under different applied loads are shown in <xref ref-type="fig" rid="F5">Figure&#x20;5</xref>, for the FeCrAl alloy at the temperature of 350&#xb0;C. As shown in <xref ref-type="fig" rid="F5">Figure&#x20;5A</xref>, the value of <italic>n</italic> was slightly affected by the applied load for the 60% total thickness reduction, where the maximum value of <italic>n</italic> was 5.58 with the applied load of 200&#xa0;mN, and the minimum value of <italic>n</italic> was 3.16 with the applied load of 400&#xa0;mN. However, the value of <italic>n</italic> was almost not affected by the applied load for the 90% total thickness reduction, as shown in <xref ref-type="fig" rid="F5">Figure&#x20;5B</xref>. The average value of <italic>n</italic> was 4.25 and 3.24 for the 60 and 90% total thickness reduction, respectively. The values of <italic>n</italic> ranging from three to seven were also obtained by other researchers using traditional tension creep tests for FeCrAl alloy (<xref ref-type="bibr" rid="B5">Kamikawa et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B18">Ukai et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B6">Kang and Mercer, 2007</xref>). Therefore, the obtained values of <italic>n</italic> were reasonable using the nano-indentation creep test. The values of <italic>A</italic> were also calculated as shown in <xref ref-type="table" rid="T2">Table&#x20;2</xref> and <xref ref-type="table" rid="T3">Table&#x20;3</xref> for FeCrAl alloys with 60 and 90% total thickness reductions.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Variation of <italic>n</italic> under different applied loads for the FeCrAl alloy at the temperature of 350&#xb0;C: <bold>(A)</bold> 60% total thickness reduction and <bold>(B)</bold> 90% total thickness reduction.</p>
</caption>
<graphic xlink:href="fenrg-09-663578-g005.tif"/>
</fig>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Nano-indentation creep test results for FeCrAl alloy with 60% total thickness reduction.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Parameter</th>
<th colspan="4" align="center">Applied load (mN)</th>
<th rowspan="2" align="center">Average value</th>
</tr>
<tr>
<th align="center">100</th>
<th align="center">200</th>
<th align="center">300</th>
<th align="center">400</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<italic>N</italic>
</td>
<td align="char" char=".">4.52</td>
<td align="char" char=".">5.58</td>
<td align="char" char=".">3.73</td>
<td align="char" char=".">3.16</td>
<td align="char" char=".">4.25</td>
</tr>
<tr>
<td align="left">&#x3bb; (MPa<sup>&#x2212;n</sup>/h)</td>
<td align="char" char="&#xd7;">1.15 &#xd7; 10<sup>&#x2013;22</sup>
</td>
<td align="char" char="&#xd7;">1.70 &#xd7; 10<sup>&#x2013;25</sup>
</td>
<td align="char" char="&#xd7;">4.37 &#xd7; 10<sup>&#x2013;19</sup>
</td>
<td align="char" char="&#xd7;">1.82 &#xd7; 10<sup>&#x2013;17</sup>
</td>
<td align="char" char="&#xd7;">4.66 &#xd7; 10<sup>&#x2013;18</sup>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Nano-indentation creep test results for FeCrAl alloy with 90% total thickness reduction.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Parameter</th>
<th colspan="4" align="center">Applied load (mN)</th>
<th rowspan="2" align="center">Average value</th>
</tr>
<tr>
<th align="center">100</th>
<th align="center">200</th>
<th align="center">300</th>
<th align="center">400</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<italic>N</italic>
</td>
<td align="char" char=".">3.20</td>
<td align="char" char=".">3.32</td>
<td align="char" char=".">3.42</td>
<td align="char" char=".">3.01</td>
<td align="char" char=".">3.24</td>
</tr>
<tr>
<td align="left">&#x3bb; (MPa<sup>&#x2212;n</sup>/h)</td>
<td align="char" char="&#xd7;">1.05 &#xd7; 10<sup>&#x2013;17</sup>
</td>
<td align="char" char="&#xd7;">5.11 &#xd7; 10<sup>&#x2013;18</sup>
</td>
<td align="char" char="&#xd7;">4.14 &#xd7; 10<sup>&#x2013;18</sup>
</td>
<td align="char" char="&#xd7;">9.14 &#xd7; 10<sup>&#x2013;17</sup>
</td>
<td align="char" char="&#xd7;">2.78 &#xd7; 10<sup>&#x2013;17</sup>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Based on the test results of <xref ref-type="table" rid="T2">Table&#x20;2</xref> and <xref ref-type="table" rid="T3">Table&#x20;3</xref>, the power-law creep model for the FeCrAl alloy was obtained as follows:<disp-formula id="e5">
<mml:math id="m18">
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>4.66</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>-</mml:mo>
<mml:mn>18</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:mn>4.25</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula> with 60% total thickness reduction, <disp-formula id="e6">
<mml:math id="m19">
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>2.78</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>-</mml:mo>
<mml:mn>17</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:mn>3.24</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula> with 90% total thickness reduction. The variations of <inline-formula id="inf14">
<mml:math id="m20">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> under different values of <inline-formula id="inf15">
<mml:math id="m21">
<mml:mi>&#x3c3;</mml:mi>
</mml:math>
</inline-formula> are shown in <xref ref-type="fig" rid="F6">Figure&#x20;6</xref> for the FeCrAl alloy with 60% total thickness reduction and 90% total thickness reduction, where <inline-formula id="inf16">
<mml:math id="m22">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> was calculated using <xref ref-type="disp-formula" rid="e5">Eqs. 5</xref>,<xref ref-type="disp-formula" rid="e6">6</xref>, and the value of <inline-formula id="inf17">
<mml:math id="m23">
<mml:mi>&#x3c3;</mml:mi>
</mml:math>
</inline-formula> was ideally chosen from 100 to 130&#xa0;MPa. As shown in <xref ref-type="fig" rid="F6">Figure&#x20;6</xref>, <inline-formula id="inf18">
<mml:math id="m24">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> of the 60% total thickness reduction was larger than that of the 90% total thickness reduction. Therefore, the hot-rolling thickness process could increase the creep resistance of the FeCrAl alloy. The possible reason was that the grains became smaller under the large rolling thickness reduction, as shown in <xref ref-type="fig" rid="F2">Figure&#x20;2</xref>. After the grains became smaller, the corresponding number and length of the grain boundaries were significantly increased, and the dislocation also increased. In this way, the creep behavior was restricted because more resistance needed to be overcome during the creep process. Therefore, the creep resistance was increased with increase of the rolling thickness reduction. However, further microscopic observations, such as SEM and EBSD, are necessary to support this opinion.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Comparison of <inline-formula id="inf19">
<mml:math id="m25">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> under different values of <inline-formula id="inf20">
<mml:math id="m26">
<mml:mi>&#x3c3;</mml:mi>
</mml:math>
</inline-formula> for the FeCrAl alloys with 60 and 90% total thickness reductions.</p>
</caption>
<graphic xlink:href="fenrg-09-663578-g006.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="conclusion" id="s4">
<title>Conclusion</title>
<p>The effect of a process condition of hot-rolling thickness reduction on the creep properties of FeCrAl alloys was investigated using a nano-indentation creep test at the temperature of 350&#xb0;C. The microanalysis results indicated that grain size became smaller with the increase of the hot-rolling thickness reduction, and the grain elongated to the hot-rolling direction. The power-law creep model was obtained using the nano-indentation creep tests. The test results showed that the power-law creep stress exponent was about four, and the creep resistance increased by the increase of the hot-rolling thickness reduction.</p>
</sec>
</body>
<back>
<sec id="s5">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material; further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s6">
<title>Author Contributions</title>
<p>All authors listed have made a substantial, direct, and intellectual contribution to the work and approved it for publication.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>The financial support from the Project of National Natural Science Foundation of China (No. 51705078), International Sci &#x26; Tech Cooperation Program of GuangDong Province (2019A050510022), Guangdong Major Project of Basic and Applied Basic Research (2019B030302011), and Key-Area Research and Development Program of GuangDong Province (2019B010943001, 2017B020235001).</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of Interest</title>
<p>Author XY was employed by the company Suzhou Nuclear Power Research Institute Co.&#x20;Ltd.</p>
<p>The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s9">
<title>Abbreviations</title>
<p>A, power-law creep constant; <italic>F</italic>, applied load; <italic>hc</italic>, creep displacement; <italic>h</italic>
<sub>
<italic>pc</italic>
</sub>, contact displacement; <italic>n</italic>, power-law creep stress exponent; <italic>S</italic>, projected contact area; <inline-formula id="inf21">
<mml:math id="m27">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula>, creep strain rate; <italic>&#x3c3;</italic>, stress.</p>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dryepondt</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Pint</surname>
<given-names>B. A.</given-names>
</name>
<name>
<surname>Lara-Curzio</surname>
<given-names>E.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Creep Behavior of Commercial FeCrAl Foils: Beneficial and Detrimental Effects of Oxidation</article-title>. <source>Mater. Sci. Eng. A</source> <volume>550</volume>, <fpage>10</fpage>&#x2013;<lpage>18</lpage>. <pub-id pub-id-type="doi">10.1016/j.msea.2012.03.031</pub-id> </citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Fischer-Cripps</surname>
<given-names>A. C.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>Critical Review of Analysis and Interpretation of Nanoindentation Test Data</article-title>. <source>Surf. Coat. Tech.</source> <volume>200</volume>, <fpage>4153</fpage>&#x2013;<lpage>4165</lpage>. <pub-id pub-id-type="doi">10.1016/j.surfcoat.2005.03.018</pub-id> </citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gamble</surname>
<given-names>K. A.</given-names>
</name>
<name>
<surname>Barani</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Pizzocri</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Hales</surname>
<given-names>J.&#x20;D.</given-names>
</name>
<name>
<surname>Terrani</surname>
<given-names>K. A.</given-names>
</name>
<name>
<surname>Pastore</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>An Investigation of FeCrAl Cladding Behavior under normal Operating and Loss of Coolant Conditions</article-title>. <source>J.&#x20;Nucl. Mater.</source> <volume>491</volume>, <fpage>55</fpage>&#x2013;<lpage>66</lpage>. <pub-id pub-id-type="doi">10.1016/j.jnucmat.2017.04.039</pub-id> </citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Goodall</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Clyne</surname>
<given-names>T. W.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>A Critical Appraisal of the Extraction of Creep Parameters from Nanoindentation Data Obtained at Room Temperature</article-title>. <source>Acta Materialia</source> <volume>54</volume> (<issue>20</issue>), <fpage>5489</fpage>&#x2013;<lpage>5499</lpage>. <pub-id pub-id-type="doi">10.1016/j.actamat.2006.07.020</pub-id> </citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kamikawa</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Ukai</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Kasai</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Oono</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Sugino</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Masuda</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Sato</surname>
<given-names>E.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Cooperative Grain Boundary Sliding in Creep Deformation of FeCrAl-ODS Steels at High Temperature and Low Strain Rate</article-title>. <source>J.&#x20;Nucl. Mater.</source> <volume>511</volume>, <fpage>591</fpage>&#x2013;<lpage>597</lpage>. <pub-id pub-id-type="doi">10.1016/j.jnucmat.2018.04.050</pub-id> </citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kang</surname>
<given-names>K. J.</given-names>
</name>
<name>
<surname>Mercer</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Creep Properties of a Thermally Grown Alumina</article-title>. <source>Mat. Sci. Eng. A-struct.</source> <volume>478</volume> (<issue>1</issue>), <fpage>154</fpage>&#x2013;<lpage>162</lpage>. </citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Ding</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Zhu</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Yin</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Kou</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Indentation Creep Behavior of Fe-Based Amorphous Coatings Fabricated by High Velocity Oxy-Fuel</article-title>. <source>J.&#x20;Non-Crystalline Sol.</source> <volume>503-504</volume>, <fpage>62</fpage>&#x2013;<lpage>68</lpage>. <pub-id pub-id-type="doi">10.1016/j.jnoncrysol.2018.09.018</pub-id> </citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Masuda</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Tobe</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Sato</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Sugino</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Ukai</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Two-dimensional Grain Boundary Sliding and Mantle Dislocation Accommodation in ODS Ferritic Steel</article-title>. <source>Acta Materialia</source> <volume>120</volume>, <fpage>205</fpage>&#x2013;<lpage>215</lpage>. <pub-id pub-id-type="doi">10.1016/j.actamat.2016.08.034</pub-id> </citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Moalem</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Olander</surname>
<given-names>D. R.</given-names>
</name>
</person-group> (<year>1991</year>). <article-title>Oxidation of Zircaloy by Steam</article-title>. <source>J.&#x20;Nucl. Mater.</source> <volume>182</volume>, <fpage>170</fpage>&#x2013;<lpage>194</lpage>. <pub-id pub-id-type="doi">10.1016/0022-3115(91)90428-A</pub-id> </citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Park</surname>
<given-names>D. J.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>H. G.</given-names>
</name>
<name>
<surname>Park</surname>
<given-names>J.&#x20;Y.</given-names>
</name>
<name>
<surname>Jung</surname>
<given-names>Y. I.</given-names>
</name>
<name>
<surname>Park</surname>
<given-names>J.&#x20;H.</given-names>
</name>
<name>
<surname>Koo</surname>
<given-names>Y. H.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>A Study of the Oxidation of FeCrAl alloy in Pressurized Water and High-Temperature Steam Environment</article-title>. <source>Corrosion Sci.</source> <volume>94</volume>, <fpage>459</fpage>&#x2013;<lpage>465</lpage>. <pub-id pub-id-type="doi">10.1016/j.corsci.2015.02.027</pub-id> </citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pint</surname>
<given-names>B. A.</given-names>
</name>
<name>
<surname>Terrani</surname>
<given-names>K. A.</given-names>
</name>
<name>
<surname>Brady</surname>
<given-names>M. P.</given-names>
</name>
<name>
<surname>Cheng</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Keiser</surname>
<given-names>J.&#x20;R.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>High Temperature Oxidation of Fuel Cladding Candidate Materials in Steam-Hydrogen Environments</article-title>. <source>J.&#x20;Nucl. Mater.</source> <volume>440</volume>, <fpage>420</fpage>&#x2013;<lpage>427</lpage>. <pub-id pub-id-type="doi">10.1016/j.jnucmat.2013.05.047</pub-id> </citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Saunders</surname>
<given-names>S. R. J.</given-names>
</name>
<name>
<surname>Evans</surname>
<given-names>H. E.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Gohil</surname>
<given-names>D. D.</given-names>
</name>
<name>
<surname>Osgerby</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>1997</year>). <article-title>Oxidation Growth Stresses in an Alumina-Forming Ferritic Steel Measured by Creep Deflection</article-title>. <source>Oxid Met.</source> <volume>48</volume>, <fpage>189</fpage>&#x2013;<lpage>200</lpage>. <pub-id pub-id-type="doi">10.1007/bf01670498</pub-id> </citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sebastiani</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Bemporad</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Carassiti</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Schwarzer</surname>
<given-names>N.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Residual Stress Measurement at the Micrometer Scale: Focused Ion Beam (FIB) Milling and Nanoindentation Testing</article-title>. <source>Phil. Mag.</source> <volume>91</volume>, <fpage>1121</fpage>&#x2013;<lpage>1136</lpage>. <pub-id pub-id-type="doi">10.1080/14786431003800883</pub-id> </citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Jianu</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Steinbrueck</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Grosse</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Weisenburger</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Seifert</surname>
<given-names>H. J.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Influence of Composition and Heating Schedules on Compatibility of FeCrAl Alloys with High-Temperature Steam</article-title>. <source>J.&#x20;Nucl. Mater.</source> <volume>511</volume>, <fpage>496</fpage>&#x2013;<lpage>507</lpage>. <pub-id pub-id-type="doi">10.1016/j.jnucmat.2018.09.026</pub-id> </citation>
</ref>
<ref id="B16">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Terrani</surname>
<given-names>K. A.</given-names>
</name>
<name>
<surname>Karlsen</surname>
<given-names>T. M.</given-names>
</name>
<name>
<surname>Yamamoto</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Input Correlations for Irradiation Creep of FeCrAl and SiC-Based on In-Pile Halden Test Results</article-title>, <comment>Technical Report ORNL/TM-2016/191</comment>. <publisher-name>ORNL</publisher-name>. <pub-id pub-id-type="doi">10.2172/1259428</pub-id> </citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Terrani</surname>
<given-names>K. A.</given-names>
</name>
<name>
<surname>Zinkle</surname>
<given-names>S. J.</given-names>
</name>
<name>
<surname>Snead</surname>
<given-names>L. L.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Advanced Oxidation-Resistant Iron-Based Alloys for LWR Fuel Cladding</article-title>. <source>J.&#x20;Nucl. Mater.</source> <volume>448</volume>, <fpage>420</fpage>&#x2013;<lpage>435</lpage>. <pub-id pub-id-type="doi">10.1016/j.jnucmat.2013.06.041</pub-id> </citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Thornby</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Harris</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Bird</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Beake</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Manakari</surname>
<given-names>V. B.</given-names>
</name>
<name>
<surname>Gupta</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Haghshenas</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Micromechanics and Indentation Creep of Magnesium Carbon Nanotube Nanocomposites: 298&#x20;K-573 K</article-title>. <source>Mater. Sci. Eng. A</source> <volume>801</volume>, <fpage>140418</fpage>. <pub-id pub-id-type="doi">10.1016/j.msea.2020.140418</pub-id> </citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ukai</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Kato</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Furukawa</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Ohtsuka</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>High-temperature Creep Deformation in FeCrAl-Oxide Dispersion Strengthened alloy Cladding</article-title>. <source>Mater. Sci. Eng. A</source> <volume>794</volume>, <fpage>139863</fpage>. <pub-id pub-id-type="doi">10.1016/j.msea.2020.139863</pub-id> </citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yamamoto</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Pint</surname>
<given-names>B. A.</given-names>
</name>
<name>
<surname>Terrani</surname>
<given-names>K. A.</given-names>
</name>
<name>
<surname>Field</surname>
<given-names>K. G.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Snead</surname>
<given-names>L. L.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Development and Property Evaluation of Nuclear Grade Wrought FeCrAl Fuel Cladding for Light Water Reactors</article-title>. <source>J.&#x20;Nucl. Mater.</source> <volume>467</volume>, <fpage>703</fpage>&#x2013;<lpage>716</lpage>. <pub-id pub-id-type="doi">10.1016/j.jnucmat.2015.10.019</pub-id> </citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Sun</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Fan</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Indentation Hardness, Plasticity and Initial Creep Properties of Nanosilver Sintered Joint</article-title>. <source>Results Phys.</source> <volume>12</volume>, <fpage>712</fpage>&#x2013;<lpage>717</lpage>. <pub-id pub-id-type="doi">10.1016/j.rinp.2018.12.026</pub-id> </citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zheng</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Jia</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Du</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Pan</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Qiu</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Control of Laves Precipitation in a FeCrAl-Based alloy through Severe Thermomechanical Processing</article-title>. <source>Materials</source> <volume>12</volume> (<issue>18</issue>), <fpage>2939</fpage>. <pub-id pub-id-type="doi">10.3390/ma12182939</pub-id> </citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zinkle</surname>
<given-names>S. J.</given-names>
</name>
<name>
<surname>Terrani</surname>
<given-names>K. A.</given-names>
</name>
<name>
<surname>Gehin</surname>
<given-names>J.&#x20;C.</given-names>
</name>
<name>
<surname>Ott</surname>
<given-names>L. J.</given-names>
</name>
<name>
<surname>Snead</surname>
<given-names>L. L.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Accident Tolerant Fuels for LWRs: A Perspective</article-title>. <source>J.&#x20;Nucl. Mater.</source> <volume>448</volume>, <fpage>374</fpage>&#x2013;<lpage>379</lpage>. <pub-id pub-id-type="doi">10.1016/j.jnucmat.2013.12.005</pub-id> </citation>
</ref>
</ref-list>
</back>
</article>