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<article article-type="review-article" dtd-version="2.3" xml:lang="EN" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Nucl. Eng.</journal-id>
<journal-title>Frontiers in Nuclear Engineering</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Nucl. Eng.</abbrev-journal-title>
<issn pub-type="epub">2813-3412</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1212351</article-id>
<article-id pub-id-type="doi">10.3389/fnuen.2023.1212351</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Nuclear Engineering</subject>
<subj-group>
<subject>Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Review on performance of chromium-coated zirconium and its failure mechanisms</article-title>
<alt-title alt-title-type="left-running-head">Li 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/fnuen.2023.1212351">10.3389/fnuen.2023.1212351</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Ziyi</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/2153753/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wang</surname>
<given-names>Xiaomin</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Huan</given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Ruiqian</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/1981840/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wei</surname>
<given-names>Tianguo</given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yao</surname>
<given-names>Lifu</given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Pengfei</given-names>
</name>
</contrib>
</contrib-group>
<aff>
<institution>Nuclear Power Institute of China</institution>, <addr-line>Chengdu</addr-line>, <addr-line>Sichuan</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/1482649/overview">Edward Matteo</ext-link>, Sandia National Laboratories, United 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/1028551/overview">Yongfeng Zhang</ext-link>, University of Wisconsin-Madison, United States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1545672/overview">Xianglong Guo</ext-link>, Shanghai Jiao Tong University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Xiaomin Wang, <email>npicwxm@163.com</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>22</day>
<month>06</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>2</volume>
<elocation-id>1212351</elocation-id>
<history>
<date date-type="received">
<day>26</day>
<month>04</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>13</day>
<month>06</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Li, Wang, Chen, Zhang, Wei, Yao and Wang.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Li, Wang, Chen, Zhang, Wei, Yao and Wang</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>The conventional Zircaloy cladding may react with coolant in light water reactors and elicit severe accident at high temperature, which constraint the safe and efficient development of nuclear energy. To avoid the tragedy happened in Fukushima, the concept of Accident Tolerant Fuel (ATF) was developed around the globe to secure the steady operation for nuclear power plants. As a short-term solution, deposition of protective coatings upon the cladding tubes are proved to be effective. Among the coatings, Chromium is one of the most outstanding choices. This paper reviews the recent study results about the performance and failure mechanisms of Cr-coated Zr cladding, including mechanical, irradiation, high-temperature oxidation tests, etc. under normal and/or accident conditions. The experiments and tests collectively suggest that Cr coating possesses excellent comprehensive properties for integrity protection of claddings and provides a promising future of the commercial application in reactor cores. Finally, this review proposes ambiguities and questions needed to be analyzed and clarified in future works.</p>
</abstract>
<kwd-group>
<kwd>accident tolerant fuel</kwd>
<kwd>Cr-coated Zr</kwd>
<kwd>mechanical behavior</kwd>
<kwd>irradiation behavior</kwd>
<kwd>high-temperature oxidation behavior</kwd>
<kwd>quenching</kwd>
<kwd>balloon and burst</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Nuclear Materials</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>After the Fukushima Dai-ichi nuclear accident, the concept of ATF has been proposed for more than 10&#xa0;years. Recent research on ATF cladding materials includes three main technical directions: coated Zr, FeCrAl cladding and SiC cladding. For the last two materials, however, several unavoidable problems in current research and development still exist. For FeCrAl, although it presents outstanding corrosion resistance, irradiation stability and high tensile strength (<xref ref-type="bibr" rid="B3">Aydogan et al., 2018</xref>; <xref ref-type="bibr" rid="B69">Umretiya et al., 2020</xref>; <xref ref-type="bibr" rid="B20">Field et al., 2017</xref>; <xref ref-type="bibr" rid="B21">Field et al., 2015</xref>; <xref ref-type="bibr" rid="B22">George et al., 2015</xref>; <xref ref-type="bibr" rid="B23">Gupta, Larsen, and Rebak, 2018</xref>; <xref ref-type="bibr" rid="B54">Park et al., 2015</xref>; <xref ref-type="bibr" rid="B56">Pint, Terrani, and Rebak, 2019</xref>; <xref ref-type="bibr" rid="B58">Rebak, 2015</xref>; K.A; <xref ref-type="bibr" rid="B65">Terrani et al., 2016</xref>), the problems are the large neutron absorption cross-section, the poor neutron economy, the low melting point with high-temperature brittleness, and the poor tritium absorption ability, which may lead to internal penetration and cannot guarantee the safety of the reactor operation (<xref ref-type="bibr" rid="B68">Kurt A. Terrani et al., 2013</xref>; K.A; <xref ref-type="bibr" rid="B66">Terrani, Zinkle, and Snead, 2014</xref>; <xref ref-type="bibr" rid="B53">Park et al., 2016</xref>). Compared to other ATF candidate materials, SiC is an extraordinary material with high thermal conductivity, excellent oxidation resistance and high strength in Loss-of-Coolant Accident (LOCA). It is a revolutionary fuel cladding for reactor cores. Nevertheless, it has poor hydrothermal corrosion resistance and the sealing problem has not been solved yet (<xref ref-type="bibr" rid="B51">Opila, 2004</xref>; <xref ref-type="bibr" rid="B63">Snead et al., 2007</xref>; <xref ref-type="bibr" rid="B82">Yvon and Carr&#xe9;, 2009</xref>; <xref ref-type="bibr" rid="B52">Park et al., 2014</xref>; <xref ref-type="bibr" rid="B81">Yueh and Terrani, 2014</xref>; <xref ref-type="bibr" rid="B53">Park et al., 2016</xref>). Therefore, the foremost near-term choice for ATF development is to apply the coating to the existing Zr alloy cladding for accident resistance improvement.</p>
<p>When selecting coating materials, the neutron absorption cross section (<xref ref-type="bibr" rid="B80">Younker and Fratoni, 2016</xref>) and the thermal conductivity (<xref ref-type="bibr" rid="B33">Kam et al., 2015</xref>) are of primary concern. After extensive tests, it has been demonstrated that Cr, Al, and Si can meet the objectives and form dense oxide films under the normal operating temperature (E. <xref ref-type="bibr" rid="B34">Kashkarov et al., 2021</xref>) to protect the substrate from oxidation and corrosion. Among these three coatings, Cr coating is considered to be the most promising material for application. In addition to the condensing Cr<sub>2</sub>O<sub>3</sub> layer, Cr also attain a high melting point, and the eutectic point of Cr and Zr is as high as 1,332&#xb0;C (<xref ref-type="bibr" rid="B2">Arias and Abriata, 1986</xref>; <xref ref-type="bibr" rid="B50">Okamoto, 1993</xref>), which is higher than the Peak Cladding Temperature (PCT) of 1,204&#xb0;C, proving its great protective capability under accident conditions.</p>
<p>Accordingly, this paper summarizes the research results on the mechanical, irradiation and high-temperature oxidation properties of Cr-coated Zr alloy cladding under normal and/or accident conditions and provides a reference for further commercial application of Cr-coated Zr alloy cladding.</p>
</sec>
<sec id="s2">
<title>2 Performance under normal condition</title>
<sec id="s2-1">
<title>2.1 Mechanical behavior</title>
<p>In the reactor operating environment, the cladding is subjected to mechanical loads along both axial and circumferential directions. This section summarizes mechanical experiments and their results. In addition, attention is given to current wear and fatigue properties.</p>
<sec id="s2-1-1">
<title>2.1.1 Cracking behavior</title>
<p>Under normal operating conditions, the axial and circumferential stresses on the cladding mostly originate from the pellet-cladding interaction and the pressure of internal fission gas and external coolants.</p>
<p>The tensile strength of the Cr-coated samples prepared by radio frequency magnetron sputtering by <xref ref-type="bibr" rid="B41">Li et al. (2020)</xref> is close to that of the uncoated samples (500&#xa0;N and 499&#xa0;N), but the deformation strain of the Cr-coated samples (2.32&#xa0;mm) is much lower than that of the uncoated samples (3.05&#xa0;mm). Tensile and compression tests performed by <xref ref-type="bibr" rid="B32">Kim et al. (2015)</xref> also shows the Cr-coated samples are slightly stronger than the uncoated samples.</p>
<p>To investigate the effect of directions of external stress, <xref ref-type="bibr" rid="B48">Nguyen et al. (2022)</xref> perform the biaxial stress test. The XRD results show an average residual compressive stress of 200&#x2013;300&#xa0;MPa in as-received Cr coating. The cracking occurs at a principal stress level of 1,100&#xa0;MPa. The lower strain (0.4%) with higher crack density occurs in axial tensile tests rather than circumferential ones, with a saturation crack density of 9&#x2013;10&#xa0;mm<sup>&#x2212;1</sup> (<italic>&#x3b5;</italic> &#x3d; 1%). The closer the external stress state is to the equiaxial, the more complex crack interweaving pattern appears, and the crack density is greater than that of the unidirectional stress state.</p>
<p>In a study of cracking behavior under tensile stress, <xref ref-type="bibr" rid="B29">J. Jiang et al. (2020)</xref> use standard samples for observation. At &#x3b5; &#x3d; 0.409%, the first long channel crack through the coating appears, and the tensile strength of Cr coating is estimated to be 382&#xa0;MPa. Saturation of crack density occurs at &#x3b5; &#x3d; 4.269%, and the interfacial shear strength of the coating is estimated to be 108&#xa0;MPa. In addition, there are small cracks propagate along the interface under local stress concentration. When the interfacial fracture strength &#x3c3;<sub>0</sub> is fixed, increasing the fracture toughness K<sub>IC</sub> leads to shorter crack length and late crack initiation. Conversely, when K<sub>IC</sub> is fixed, the increasement of larger &#x3c3;<sub>0</sub> results in shorter crack length and earlier crack initiation. Moreover, when the K<sub>IC</sub> is larger than 250&#xa0;J/m<sup>2</sup>, the interfacial crack cannot initiate. Accordingly, Jiang et al. estimate the lower limits of &#x3c3;<sub>0</sub> and K<sub>IC</sub> at the interface to be 100&#xa0;MPa&#x2013;150&#xa0;MPa and 100&#xa0;J/m<sup>2</sup>&#x2013;150&#xa0;J/m<sup>2</sup>, respectively.</p>
<p>The effect of temperature on the cracking behavior is also investigated (<xref ref-type="bibr" rid="B27">J. Jiang, Zhan, et al., 2021a</xref>). The fracture mode of Cr coating switches from brittle to ductile as the temperature increases, and the difference between the two modes is shown in <xref ref-type="fig" rid="F1">Figure 1</xref>. Severe plastic flow and river pattern occurs on the surface of Cr coating at 400&#xb0;C, and the surface cracks appear only at the late stage. Subsequently, Jiang et al. (<xref ref-type="bibr" rid="B28">J. Jiang, Zhai, et al., 2021b</xref>) experimentally define the brittle-ductile transition temperature (BDTT) of Cr coatings to be 450&#xb0;C.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Schematic of the tensile fracture behaviors of Cr-coated Zr-4 at room temperature (RT) and 400&#xb0;C, proceedings of ref (<xref ref-type="bibr" rid="B27">J. Jiang, Zhan, et al., 2021a</xref>) with copyright permission from the author. It is clearly shown that the fracture mode of the samples undergo a transaction from brittle to ductile.</p>
</caption>
<graphic xlink:href="fnuen-02-1212351-g001.tif"/>
</fig>
<p>As for the samples oxidized at high temperature (<xref ref-type="bibr" rid="B30">J. Jiang, Ma, and Wang, 2021c</xref>), different cracking phenomena are observed at various temperature levels. As shown in <xref ref-type="fig" rid="F2">Figure 2</xref>, for samples oxidized at 900&#xb0;C, the isometric crystals formed by recrystallization effectively hinder crack propagation, and the microcracks formed in the brittle Cr<sub>2</sub>O<sub>3</sub> and ZrCr<sub>2</sub> layers are difficult to propagate into the coating. In contrast, for samples oxidized at 1,000&#xb0;C or above, large local thermal mismatch stress exists at the coating-substrate interface, and the Cr coating grains become coarser while the fracture toughness decreases. The oxygen enrichment in Zr-4 matrix promotes the formation of brittle &#x3b1;-Zr(O). The cracks in ZrCr<sub>2</sub> layer penetrate the Cr coating and Zr matrix leading to samples failure. However, Jiang et al. did not give precise temperature levels for the two cracking mode transitions nor the effect of oxidation time.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Cracking behaviors in unoxidized and preoxidized Cr-coated Zr-4 alloys at 900&#xb0;C and 1,000&#xb0;C, respectively, under tension, proceedings of ref (<xref ref-type="bibr" rid="B28">J. Jiang, Ma, and Wang, 2021b</xref>) with copyright permission from the author.</p>
</caption>
<graphic xlink:href="fnuen-02-1212351-g002.tif"/>
</fig>
<p>To systematically investigate the effect of coating thickness on crack propagation, <xref ref-type="bibr" rid="B75">Xu, Liu, and Wang (2021a)</xref> of Sun Yat-Sen University simulate the failure of Cr-coated samples in the presence of initial cracks at different thickness levels. The von Mises stress at Cr-Zr interface increases with coating thickness, implying the decreases of the critical crack length. The failure of coating is caused by stress concentration at the crack tips. Simulation results of radial crack propagation show that cracks propagate when the coating is very thick (greater than 50&#xa0;&#xb5;m). <xref ref-type="bibr" rid="B72">Wei et al. (2023)</xref> propose two failure modes for the Cr coating, namely: (1) the plastic zone of the crack tip reaches the coating-substrate interface; (2) the crack penetrates the coating and forms a coolant-substrate channel. By calculating the critical crack lengths for both modes, it is revealed that mode (2) predominates in cladding failures. Besides, with the increasing of the coating thickness, the critical crack length tends to be lower. That is, increasement of thickness promotes crack propagation. Wei et al. define a safety factor &#x3c6; (the ratio of the critical crack length to the coating thickness) to evaluate the crack safety. The relationship between the safety factor &#x3c6; and the coating thickness &#x3b4; is shown in the following <xref ref-type="fig" rid="F3">Figure 3</xref>.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>The relationship between percentage of safe crack <inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and Cr coating thickness &#x3b4;, reproduced from ref (<xref ref-type="bibr" rid="B72">Wei et al., 2023</xref>) with copyright permission from the author.</p>
</caption>
<graphic xlink:href="fnuen-02-1212351-g003.tif"/>
</fig>
<p>To compare the effect of coating thickness and crack length on crack propagation, <xref ref-type="bibr" rid="B76">Xu et al. (2021b)</xref> calculate the equivalent stress intensity factor for oblique cracks and find out that when the coating is relatively thick (&#x3e;60&#xa0;&#xb5;m), the effect of coating thickness is limited. That is, the crack length has more critical effect on crack growth than the coating thickness.</p>
<p>So far, there is no confirming results from published literature on the effect of residual stress on cracking in Cr-coated Zr cladding, but some studies on other Cr-coated materials are reported. For instance, <xref ref-type="bibr" rid="B55">Pina et al. (1997)</xref> study the residual stress in Cr-coated Cu prepared by etching. The results show that three areas of different stress distribution exist inside the coating. The value of the residual stress at the surface of the coating is 800 &#xb1; 50&#xa0;MPa. This region can be considered independent of the substrate and coating thickness. At the depth of about 20&#xa0;&#x3bc;m, the residual stress tends to stabilize at a minimum value related to the coating thickness. Near the coating-substrate interface (depth of about 5&#xa0;&#xb5;m from substrate to the coating), there is a certain interfacial effect with a stress level of 270 &#xb1; 50&#xa0;MPa, which relates to both the coating thickness and the type of substrate material. Different thickness and stress distribution levels may lead to various crack propagation behaviors within the coating.</p>
<p>It is concluded that crack initiation and propagation are influenced by many factors, such as temperature, the direction of external stress, coating thickness and residual stress within the coating. It should be noted that the results above do not fully consider the effect of stress in combination with corrosion and oxidation on the failure of the Cr coated Zr cladding. The coupling effect of stress along with other failure factors is suggested being studied in subsequent research.</p>
</sec>
<sec id="s2-1-2">
<title>2.1.2 Wear behavior</title>
<p>The fretting wear during reactor operation is mainly divided into two wear modes: grid-cladding mode and debris-cladding mode. The grid-cladding includes dimple-cladding wear and spring-cladding wear. Tests show that Cr coating can improve the wear resistance of the fuel rods.</p>
<p>Brachet et al. (J.-C. <xref ref-type="bibr" rid="B9">Brachet et al., 2019</xref>) use 6-&#x3bc;m-thick Cr-coated and uncoated samples on the &#x201c;FROTTEAU 2&#x201d; wear test rig to study the grid-cladding wear in a PWR environment. The uncoated samples have a cumulative wear depth of 65&#xa0;&#x3bc;m&#x2013;85&#xa0;&#x3bc;m, while the Cr-coated samples have no significant scratches on the surface.</p>
<p>In order to accurately simulate the PWR water environment, Bischoff et al. (<xref ref-type="bibr" rid="B6">Jeremy Bischoff et al., 2018a</xref>) perform grid-cladding wear tests in the AURORE loop at Le Creusot Technical Center. The Cr-coated samples show nearly 98% reduction in wear volume compared to the uncoated samples, with no visible wear on the coating surface. In contrast, wears are observable at the dimples and gradually change to the shape of the cladding rods, which is consistent with the ideal configuration for wear. In the spring-cladding wear test, the Cr-coated samples also show negligible wear, while that of reference samples are severe. Cr-coated cladding reduces total wear by two orders of magnitude.</p>
<p>According to the GNF wear test report on ARMOR-coated Zircaloy-2 tubes (<xref ref-type="bibr" rid="B42">Lin et al., 2018</xref>), samples exhibit significantly less wear depth at the contact surfaces when subjected to abrasion and impingement at room temperature. However, variables such as debris size, contact force, and vibrational frequencies are not qualitatively examined in this test.</p>
<p>Therefore, Framatome (<xref ref-type="bibr" rid="B17">Delafoy et al., 2018</xref>) conducts another test using AFA 3G grid cell (Alloy 718 spring and dimple) and a AISI 316 wire brush, the results are shown in <xref ref-type="fig" rid="F4">Figure 4</xref>. In the wear tests with the grids, the Cr-coated samples show smaller wear volume of 40 and 80 times in the dimple-cladding and spring-cladding tests respectively. In the wire brush tests simulating debris wear, the Cr-coated tubes show better wear resistance while the deformationof wire brush is evident in front of the samples. The Cr-coated samples show a lower wear volume by a factor of 4.5 after 100&#xa0;h of testing compared to the uncoated sample stop at 23&#xa0;h due to excessive wear. It can be concluded that under the same wear conditions, the Cr-coated sample will perform even better in the wear resistance test.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Results of grid-cladding wear tests of uncoated and Cr-coated cladding from ref (<xref ref-type="bibr" rid="B17">Delafoy et al., 2018</xref>).</p>
</caption>
<graphic xlink:href="fnuen-02-1212351-g004.tif"/>
</fig>
<p>
<xref ref-type="bibr" rid="B7">J Bischoff et al. (2018b)</xref> observe wear on the samples in above tests. The size and depth of the notch on the Cr-coated samples decrease under the same test conditions. Despite the complete penetration of the coating, the wear rate of the Cr-coated samples remains low, which is probably due to the residual protection of the Cr coating in contact with the edges of the wire brush.</p>
</sec>
<sec id="s2-1-3">
<title>2.1.3 Fatigue behavior</title>
<p>As the reactor power fluctuates during normal operation, the cladding may be subjected to cyclic tension-compression loads, resulting in fatigue failure due to deformation in the axial direction. In addition, after fuel pellets contact with the claddings, the circumferential stress cycling may also lead to cladding fatigue. Therefore, this section summarizes research on the fatigue behavior of Cr-coated cladding.</p>
<p>
<xref ref-type="bibr" rid="B60">&#x160;eve&#x10d;ek et al. (2018)</xref> examine the behavior of cold-sprayed (CS) Cr-coated samples in a four-point bending fatigue test in PWR water environment. Fatigue cracks appear earlier in the Cr-coated samples than the uncoated ones. The number of cracks in the samples increase rapidly as the test proceed, and ultimately the number of failure cycles of the Cr-coated samples are less than that of the uncoated samples (<xref ref-type="fig" rid="F5">Figure 5</xref>). No cracks are shown on the top surface of the coating subjected to compressive stress, while numerous cracks are observed on the bottom surface due to tensile stress. Finally, the samples fail at the pinpoints. It is concluded that the failure of the Cr-coated samples may be due to two reasons. One is the high Young&#x2019;s modulus of the Cr coating could cause high stress level during fatigue test. Meanwhile, the CS process may contribute to the additional compression stress within the coating.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Mean displacement shift during the 4-point bending fatigue tests from ref (&#x160;eve&#x10d;ek et al., n.d.). Noted that the Cr-coated samples have lower plastic deformation and fail earlier than Zr-4.</p>
</caption>
<graphic xlink:href="fnuen-02-1212351-g005.tif"/>
</fig>
<p>In fact, some other studies (<xref ref-type="bibr" rid="B57">Price, Shipway, and McCartney, 2006</xref>; <xref ref-type="bibr" rid="B1">AL-Mangour et al., 2013</xref>; <xref ref-type="bibr" rid="B59">Sample et al., 2020</xref>) conclude that the shot peening effect introduced by CS can indeed cause stress concentration, early crack initiation and reduce the fatigue life of the coating samples.</p>
<p>
<xref ref-type="bibr" rid="B45">X. Ma et al. (2021a)</xref> study the <italic>in-situ</italic> fatigue test at 400&#xb0;C with SEM on Cr-coated standard tensile samples prepared by multi-arc ion plating under vacuum. The results show that the fatigue life of Cr-coated samples is higher than that of uncoated samples. In the test, the fatigue cracks in the Cr-coated samples are initiated within the coating and the Cr-Zr interface. The cracks are small and scattered. The samples show plastic deformation during fracture, and the bending of brittle interlayer is observed and confirmed by finite element analysis, indicating excellent Zr-Cr compatibility. The high fracture strength and toughness of Cr as well as the good compatibility with the Zr substrate, prevent the initiation of cracks in the Zr substrate and retard the propagation of the Cr-Zr interlayer cracks into the substrate.</p>
<p>The result of this study contradicts the study performed by <xref ref-type="bibr" rid="B60">&#x160;eve&#x10d;ek et al. (2018)</xref>. However, a direct comparison is infeasible due to the different sample preparation methods, stress application methods and the test environments. In addition, no fatigue test on Cr-coated tubes is reported to date. In the future, research efforts can be intensified on the fatigue performance of Cr-coated cladding under normal PWR conditions, and the fatigue life of Cr-coated cladding can be predicted on the basis of the fatigue model (<xref ref-type="bibr" rid="B49">O&#x2019;Donnell and Langer, 1964</xref>) of Zr cladding developed by O&#x27;Donnel and Langer.</p>
</sec>
</sec>
<sec id="s2-2">
<title>2.2 Irradiation behavior</title>
<p>Because charged ions can interact with electrons and nuclei, their penetration depths are shallow. However, ion irradiation is easier to achieve and time-saving, thus it is widely used as an alternative in research.</p>
<p>The induction of light ions such as H<sup>&#x2b;</sup> and He<sup>2&#x2b;</sup> accumulate in the cladding and induce swelling of the materials, causing stress concentration and deterioration. As find by <xref ref-type="bibr" rid="B26">Huang et al. (2020)</xref>, after He<sup>2&#x2b;</sup> irradiation, He bubbles are uniformly distributed in the Cr coating, with more in Cr grain boundaries than inside the grains. The size and concentration of He bubbles increase as the concentration of He<sup>2&#x2b;</sup> increases. Heavy ions have greater mass and more kinetic energy compared to light ions and penetrate deeper in the Cr coating, inducing more voids and damages. <xref ref-type="bibr" rid="B40">Kuprin et al. (2018)</xref> irradiate samples with 1.4&#xa0;MeV Ar<sup>&#x2b;</sup> ions at 400&#xb0;C and find that the Ar<sup>&#x2b;</sup> ion beam irradiation causes an increase in grain growth and anisotropy in the Cr coating. The size of voids in Cr coating increases with increasing of irradiation dose, while void density decreases. <xref ref-type="bibr" rid="B64">Sun et al. (2023)</xref> state that the size and density of dislocation rings increase with irradiation dose at 300&#xb0;C, but the trend seems to be different at 400&#xb0;C and 500&#xb0;C. This may relate to the formation of dislocation networks. Regarding multiple ion beams, <xref ref-type="bibr" rid="B31">L. Jiang et al. (2020b)</xref> investigate that during the irradiation of Fe<sup>2&#x2b;</sup>, the addition of He<sup>2&#x2b;</sup> promotes pore nucleation and enhances the ability of cavities to trap H<sup>&#x2b;</sup>, while the addition of H<sup>&#x2b;</sup> would promotes cavity growth.</p>
<p>Compared to ion irradiation, neutrons only trigger collision effect when get close to the nuclei. This implies a larger mean free path and deeper penetration. Even for materials of certain thickness, neutron irradiation could trigger delocalization and transmutation. The primary knock-on atoms will interact with other atoms and trigger cascades of collision, resulting in Frenkel defects and gaseous phases. The aggregation of voids and gases will cause irradiation swelling and affect the performance of the cladding. Framatome (<xref ref-type="bibr" rid="B8">Bono et al., 2020</xref>) applies 2&#x2013;8&#xa0;&#xb5;m Cr coating to M5 substrate samples and irradiate them in OSIRIS research reactor with a dose of 2dpa. After irradiation, the samples undergo the fixed-end Expansion Due to Compression (EDC) test at 350&#xb0;C. The samples are able to withstand 2% circumferential strain without cracking. The minimum circumferential strain at fracture is 15% for irradiated samples and approximately 30% for unirradiated samples. This indicates that embrittlement occurs within the Cr-coated samples after irradiation. The surface of the irradiated samples observed by metallography and SEM are free of cracks and defects, and the interlayers are well bonded. This implies that even after irradiation, the Cr-coated samples still retain good integrity and adhesion.</p>
<p>The above tests indicate that the Cr-coated cladding undergoes embrittlement during neutron irradiation. Follow-up tests are required to quantitatively assess the effect of embrittlement on cladding properties.</p>
</sec>
</sec>
<sec id="s3">
<title>3 Performance under LOCA</title>
<sec id="s3-1">
<title>3.1 High-temperature oxidation behavior</title>
<p>The eutectic point of Cr-Zr is 1,332&#xb0;C, which is higher than the Peak Cladding Temperature (1,204&#xb0;C). To investigate the failure mode of the cladding at temperatures above the eutectic point, <xref ref-type="bibr" rid="B39">Jakub Krej&#x10d;&#xed; et al. (2020)</xref> prepare 10.6&#xa0;&#xb5;m Cr-coated samples using unbalanced magnetron sputtering (UBM). The samples are quenched immediately after heating to 1,400&#xb0;C in Ar environment. A molten layer of 50&#x2013;100&#xa0;&#xb5;m is observed on the surface of the substrate with high Cr concentration (about 14%). Below the layer, the rest of the substrate remains unaffected. Another group of samples is first pre-oxidized in steam at 800&#xb0;C for 12&#xa0;min. The samples are then immediately transferred to 1,400&#xb0;C steam environment for 2&#xa0;min and quenched. The tests show that ZrO<sub>2</sub> and &#x3b1;-Zr(O) layers appear on both the inner and outer surfaces, while the high Cr concentration zone (approximately 15%&#x2013;16%) appears only in the center of the cladding.</p>
<p>Based on the comparison of the two tests, it can be concluded that in the environment above the eutectic point, oxygen accelerates Cr to transfer inward. Due to the excessive interaction with Cr and oxygen, the substrate depletion in steam environment is more severe. However, the heating steps are not exactly the same, which may be one of the reasons for the severe oxidation and melting phenomenon.</p>
<p>Although the temperature is lower than the eutectic temperature, many studies conclude that the coating also fails at 1,200&#xb0;C, leading to oxidation of the underlying Zr substrate (<xref ref-type="bibr" rid="B70">Wagih et al., 2018</xref>; <xref ref-type="bibr" rid="B78">Yeom et al., 2019</xref>). Numerous experiments and investigations are supposed to be conducted to further understand the failure mechanism of high-temperature oxidation.</p>
<p>
<xref ref-type="bibr" rid="B24">Han et al. (2019)</xref> perform high-temperature oxidation tests on coatings prepared by magnetron sputtering and find that the thickness of the Cr<sub>2</sub>O<sub>3</sub> layer shows a trend of increasing and then decreasing after oxidized for 30&#x2013;60&#xa0;min. Therefore, they propose an oxidation mechanism based on the test results:<list list-type="simple">
<list-item>
<p>(1) At the beginning of oxidation, the Cr coating is completely oxidized to Cr<sub>2</sub>O<sub>3</sub>.</p>
</list-item>
<list-item>
<p>(2) When Cr<sub>2</sub>O<sub>3</sub> layer is in contact with Zr, the Cr<sub>2</sub>O<sub>3</sub> at the interface transfers to Cr by Zr, while a stable ZrO<sub>2</sub> with lower Gibbs free energy forms.</p>
</list-item>
</list>
</p>
<p>The Cr<sub>2</sub>O<sub>3</sub> reduction mechanism of this theory explains the phenomenon of Cr<sub>2</sub>O<sub>3</sub> reduction during oxidation, but in the early stage of oxidation, the formation of a dense Cr<sub>2</sub>O<sub>3</sub> layer on the outer surface can prevent oxygen from penetrating. In fact, the disappearance of Cr layer is not observed in the experiment. Besides, the theory cannot explains the kinetic of Zr transfers through ZrO<sub>2</sub> to form an intermediate layer.</p>
<p>Based on the insufficiency of the model, <xref ref-type="bibr" rid="B13">J.-C. Brachet J. C. et al. (2020)</xref> perform experiments with longer oxidation times (&#x3e;1,400&#xa0;s) and propose a new presumption: Cr coating does not oxidize completely but still fails at high temperature (<xref ref-type="fig" rid="F6">Figure 6</xref>.).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Schematic overview of the 3 stages of high temperature steam oxidation process of Cr-coated Zr, proceedings of ref (<xref ref-type="bibr" rid="B13">J.-C. Brachet J. C. et al., 2020</xref>).</p>
</caption>
<graphic xlink:href="fnuen-02-1212351-g006.tif"/>
</fig>
<p>In this theory, the failure of the Cr coating is divided into three main stages. In the first stage, the Cr layer remains dense, but the coating becomes thinner due to diffusion of Cr into the Zr substrate, and the interlayer thickens.</p>
<p>In the second stage, the weight gain of the sample steadily increases, but that of the Cr layer decreases as oxygen passes through the unoxidized Cr coating to form ZrO<sub>2</sub> with Zr diffusing through Cr grain boundaries. The ZrO<sub>2</sub> acts as a &#x201c;bridge&#x201d; for oxygen to pass through and continues to facilitate the inter-diffusion and oxidation of substrate. At this stage, the coating gradually loses its protectiveness. Moreover, Brachet et al. suggest that complete oxidation of Cr coatings does not exist due to the preference of oxygen with Zr, leaving residual Cr remain in the coating. <xref ref-type="bibr" rid="B19">Fazi et al. (2023)</xref> agree with this point and suggest that the rapid coarsening of Cr grains prepared by CS technology has a positive effect on the oxidation resistance of coatings. <xref ref-type="bibr" rid="B43">Liu et al. (2021)</xref> suggest that this phenomenon is only apparent in the late stage of high-temperature oxidation due to the limited distance of Zr diffusion in Cr.</p>
<p>And then there is the third stage: substrate oxidation. The residual Cr layer, which loses its protectiveness, adheres to the outer surface of the substrate. ZrO<sub>2</sub> gradually forms below the layer, while oxygen continues to diffuse inward, reacting with the ZrCr<sub>2</sub> to convert it into ZrO<sub>2</sub> and Cr. Oddly, this conclusion is inconsistent with the results observed by <xref ref-type="bibr" rid="B74">Xiao et al. (2023)</xref>. The thickness of the Cr-Zr interlayer increases linearly with oxidation time at 1,200&#xb0;C, and the increasing rate is higher after 4&#xa0;h of oxidation.</p>
<p>The mechanism of the changing in Cr-Zr diffusion layer thickness as well as its effect on macroscopic mechanical properties can be further investigated in the future.</p>
<p>Interestingly, <xref ref-type="bibr" rid="B5">Bell et al. (2022)</xref> perform EDS observations in the rupture area where the Cr-coated samples undergo large internal pressure. It is found that under Cr<sub>2</sub>O<sub>3</sub> layer, the Cr layer remained is discontinuous. This suggests different stress contribution may cause diverse performances of the Cr coating oxidation.</p>
<p>During the oxidation, a continuous interdiffusion/intermetallic layer (31&#xa0;at% Zr, 66&#xa0;at% Cr, and 2.5&#xa0;at% Fe) is observed (<xref ref-type="bibr" rid="B71">Wang et al., 2018</xref>; <xref ref-type="bibr" rid="B73">Wu et al., 2018</xref>; <xref ref-type="bibr" rid="B78">Yeom et al., 2019</xref>). It corresponds to the Cr<sub>2</sub>Zr or Zr(Fe, Cr)<sub>2</sub> intermetallic Laves phases. Yeom et al. also find that the Cr-rich precipitates in the Zr substrate below the interface is formed due to the rapid Cr solid diffusion in &#x3b2;-Zr than in Zr(Fe, Cr)<sub>2</sub>. Kirkendall pores are detected around the interlayer due to faster element diffusion of Cr into Zr than that of Zr into Cr coating.</p>
<p>
<xref ref-type="bibr" rid="B77">Yang et al. (2021)</xref> study the Cr-Zr interaction of Cr coated Zr cladding under inert gas environment in the temperature range from 1,100&#xb0;C to 1,300&#xb0;C. Samples are deposited by cold spray and magnetron sputtering respectively. The growth behavior of the Cr-Zr interlayer can be summarized as follows: Firstly, the interlayer is formed by mutual diffusion between the coating and substrate. The thickness of the interlayer continues to increase. At the same time, the Cr atoms in the Cr-Zr interlayer begin to diffuse and dissolve into the Zr matrix. The different diffusion coefficients of Cr in Zr(Fe,Cr)<sub>2</sub> phase and Zr substrate causes the interlayer thickness to decrease. After that, the Cr-Zr interlayer gradually disappears. Additionally, they find out that the growth rate of the interlayer on cold sprayed samples is slightly larger than that on magnetron sputtered samples.</p>
<p>Nevertheless, <xref ref-type="bibr" rid="B74">Xiao et al. (2023)</xref> observe a rapid increasement of the thickness of Cr-Zr interlayer at 1,200&#xb0;C in air atmosphere after 4&#xa0;h oxidation. This indicates different oxidation atmospheres may lead to different growth behaviors.</p>
<p>
<xref ref-type="bibr" rid="B43">Liu et al. (2021)</xref> investigate the effect of Sn on oxidation resistance of the coating. On the one hand, the affinity of Sn for oxygen is lower than that of Cr, so the segregation at the grain boundaries can prevent oxidation to a certain extent. On the other hand, the segregation leads to the aggregation of Kirkendall voids, which causes stress concentration and reduces the mechanical properties of the coating.</p>
<p>As mentioned in 2.1.1, the ZrCr<sub>2</sub> interlayer cannot sustain tension or hinder the crack propagation. (<xref ref-type="bibr" rid="B27">J. Jiang, Ma, and Wang, 2021a</xref>). Thus, studies about diffusion barrier added between coating and substrate are reported (<xref ref-type="bibr" rid="B62">Sidelev et al., 2019</xref>; <xref ref-type="bibr" rid="B47">Michau, Ougier, and Maskrot, 2020</xref>) to restrain the interdiffusion at high temperature.</p>
<p>Besides, Liu et al. investigate the time of coating failure at 1,200&#xb0;C and point out the start time (oxidation of about 30&#xa0;min) and complete failure time (oxidation of about 90&#x2013;120&#xa0;min) (<xref ref-type="bibr" rid="B44">Liu et al., 2022</xref>). Assuming a buffer time of 30&#x2013;90&#xa0;min before complete failure can provide some guidance in predicting the life of the Cr coating during LOCA.</p>
<p>To investigate the best coating thickness with the oxidation resistance, <xref ref-type="bibr" rid="B41">Li et al. (2020)</xref> select 1, 2, 4, 6, and 8&#xa0;&#x3bc;m thick coating samples for high-temperature oxidation tests at 1,200&#xb0;C. The results show that the 6 and 8&#xa0;&#x3bc;m Cr-coated samples exhibit the least weight gain. This implies the thicker Cr coatings have better oxidation resistance. On the other hand, defects such as voids and cracks are frequently observed in the over-thick coating samples. Therefore, from a comprehensive point of view, Li et al. select 6&#xa0;&#x3bc;m as the ideal thickness of Cr coating.</p>
<p>A more precise test is performed by E. B. <xref ref-type="bibr" rid="B35">Kashkarov et al. (2020)</xref>. The 4.5&#xa0;&#x3bc;m-thick dense Cr coating is obtained by the multi-cathode magnetron sputtering, yet the 6 and 9&#xa0;&#x3bc;m-thick columnar Cr coatings are obtained by hot target magnetron sputtering. The results show that the dense 4.5&#xa0;&#x3bc;m-thick Cr coating with higher activation energy of 202&#xa0;kJ/mol provides better oxidation resistance up to 1,100&#xb0;C than thicker columnar coatings (177&#x2013;183&#xa0;kJ/mol). But at 1,200&#xb0;C, only the 9&#xa0;&#x3bc;m coating offers a longer diffusion path of O into the Zr substrate, and the fast interdiffusion at LOCA conditions requires thick coatings with high protection efficiency. Overall, a thicker coating of 9&#xa0;&#x3bc;m is recommended.</p>
<p>In conclusion, to balance the economics with performance, a 6&#x2013;9&#xa0;&#x3bc;m coating might be an optimal coating thickness for commercial application, considering the studies from 2.1.1 section and above.</p>
</sec>
<sec id="s3-2">
<title>3.2 Quenching behavior and embrittlement</title>
<p>In the NRC Safety Standard for Reactor Emergency Core Cooling Systems (ECCS) (USNRC. Regulatory Guide 1.223-Determining Post-Quench Ductility, Washington. D.C., USA, 2018), the upper limit of the equivalent cladding reacted (ECR) is set at 17%. The ECR limit can be calculated through cladding weight-gain method and the oxidation kinetics equations - the Baker-Just (BJ) relation (<xref ref-type="bibr" rid="B4">Baker et al., 1961</xref>) and the Cathcart-Pawel (CP) relation (<xref ref-type="bibr" rid="B14">Cathcart et al., 1977</xref>). Cladding ductility are evaluated experimentally using the RCT ring compression test (<xref ref-type="bibr" rid="B25">Hobson and Rittenhouse, 1972</xref>). It should be clarified that the standard above applies to Zr alloy cladding, while that of Cr-coated cladding has not yet been developed. Therefore, in order to confirm whether the three ECR calculation methods and the 17% threshold are applicable to Cr-coated cladding, the relationship between the values derived from the three methods and the brittleness of coated samples will be analyzed in the following section.</p>
<p>The RCT test performed by <xref ref-type="bibr" rid="B38">J Krej&#x10d;&#xed; et al. (2018)</xref> of the two thresholds of ECR &#x3d; 17% and RCT &#x3d; 2% are marked with red and black dashed lines respectively in <xref ref-type="fig" rid="F7">Figure 7</xref>. It can be observed from both <xref ref-type="fig" rid="F7">Figures 7A, B</xref> that for Zr samples, the ECR values corresponding to the brittle samples are less than 17%. Some of the samples with ECR&#x3e;17% still show plasticity. This indicates that ECR &#x3d; 17% is a conservative prediction for embrittlement of the Zr cladding. In contrast, for the Cr-coated samples, the ECR calculation using the CP equation (<xref ref-type="fig" rid="F7">Figure 7A</xref>) shows that the 30&#xa0;&#x3bc;m Cr coating significantly increases the threshold of embrittlement for Cr cladding. Some samples show embrittlement with ECR values much higher than 17%. However, when ECR is calculated by weight gain (<xref ref-type="fig" rid="F7">Figure 7B</xref>), several coated samples show embrittlement even if ECR&#x3c;5%. During the test, in fact, the weight of the Cr coated samples decreases in the pre-oxidation period and increases only after the Zr substrate was oxidized. This may be the reason for the discrepancy between the ECR values calculated by the weight gain method and the CP relation.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Residual ductility measured by RCT at 135&#xb0;C in relation with <bold>(A)</bold> CP-ECR and <bold>(B)</bold> experimental (deduced from weight gain measurements)-ECR from ref (J Krej&#x10d;&#xed; et al., n.d.).</p>
</caption>
<graphic xlink:href="fnuen-02-1212351-g007.tif"/>
</fig>
<p>Similarly, <xref ref-type="bibr" rid="B10">J. C. Brachet J.-C. et al. (2020)</xref> perform one-sided steam oxidation on 12&#x2013;15&#xa0;&#x3bc;m thick Cr-coated samples at 1,200&#xb0;C, shown in <xref ref-type="fig" rid="F8">Figure 8</xref>. The ECR threshold of brittleness calculated by BJ relation is approximately 50%. Meanwhile, the ECR value calculated by weight gain does not exceed 5%. This again proves the ECR values vary from weight gain method and oxidation kinetics relationship, and the 17% threshold is no longer consistent among the three methods mentioned above. Therefore, the calculation of ECR for Cr-coated cladding must be re-evaluated, and its threshold as well.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Residual ductility measured RCT at 135&#xb0;C in relation with <bold>(A)</bold> BJ-ECR and <bold>(B)</bold> experimental (deduced from weight gain measurements) ECR from ref (<xref ref-type="bibr" rid="B10">J. C. Brachet J.-C. et al., 2020</xref>)</p>
</caption>
<graphic xlink:href="fnuen-02-1212351-g008.tif"/>
</fig>
<p>Moreover, <xref ref-type="bibr" rid="B13">J.-C. Brachet J. C. et al. (2020)</xref> investigate the mechanism of embrittlement after quenching. Initially, a dense oxide layer forms on the surface of the Cr coating, which prevents the Zr substrate from oxidizing. The diffusion of Cr into the substrate at this time increases the ductility of the sample to a small extent. As the oxidation time extends, the protective layer gradually fails and oxygen diffuses into the substrate to form &#x3b1;-Zr(O), increasing the brittleness of the cladding. This is similar to the mechanism derived in <xref ref-type="sec" rid="s3-1">Section 3.1</xref>.</p>
<p>In addition, the ECR values calculated by the BJ equation and corresponding oxidation conditions are given by Brachet et al. as shown in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Oxidation conditions, corresponding ECR-BJ values measured by Brachet et al., proceeding from ref (<xref ref-type="bibr" rid="B13">J.-C. Brachet J. C. et al., 2020</xref>).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Oxidation temperature (&#xb0;C)</th>
<th align="center">Oxidation time(s)</th>
<th align="center">ECR-BJ (%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="7" align="center">1200</td>
<td align="center">600</td>
<td align="center">17</td>
</tr>
<tr>
<td align="center">1500</td>
<td align="center">26.5</td>
</tr>
<tr>
<td align="center">3000</td>
<td align="center">38</td>
</tr>
<tr>
<td align="center">5000</td>
<td align="center">48.5</td>
</tr>
<tr>
<td align="center">6000</td>
<td align="center">53</td>
</tr>
<tr>
<td align="center">9000</td>
<td align="center">65</td>
</tr>
<tr>
<td align="center">12000</td>
<td align="center">75</td>
</tr>
<tr>
<td rowspan="4" align="center">1300</td>
<td align="center">920</td>
<td align="center">30</td>
</tr>
<tr>
<td align="center">2200</td>
<td align="center">46</td>
</tr>
<tr>
<td align="center">5300</td>
<td align="center">71</td>
</tr>
<tr>
<td align="center">9200</td>
<td align="center">88</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>
<xref ref-type="bibr" rid="B79">Yook et al. (2022)</xref> subject unsealed Cr-coated and uncoated tube samples to double-sided oxidation in steam environment at 1,204&#xb0;C, followed by cooling to 800&#xb0;C before quenching, and calculate the ECR values of the samples using weight gain method. Microstructural studies show that the brittleness of the Cr-coated samples correlates with the &#x3b1;-Zr(O) in the substrate. Due to the resistance of the Cr coating, no significant oxidation is observed on the outer surface of the Cr-coated samples after quenching, but the concentration of brittle phase is observed on the inner surface of uncoated samples. The thickness of the brittle phase is higher than the that of the uncoated samples. Therefore, Yook et al. conclude that the evaluation of the ductility of Cr-coated samples using RCT may be inaccurate because cracks will first appear on the inner walls of the samples.</p>
<p>The results of the weight gain method show lower ECR values and better ductility with same oxidation time for the coated cladding. Since the samples take longer to reach the ECR value, the coated undergo more oxidation. This indicates the ECR limit calculated by the weight gain method is lower and the time for Cr-coated samples to reach the limit is longer. The corresponding ECR values with different oxidation time are given in <xref ref-type="table" rid="T2">Table 2</xref>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Oxidation time, corresponding experimental ECR (measured by weight gain) values, proceeding from ref. <xref ref-type="bibr" rid="B79">Yook et al. (202)</xref>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Sample</th>
<th align="center">Oxidation time(s)</th>
<th align="center">ECR (%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">Cr-coated Zr</td>
<td align="center">200</td>
<td align="center">6.75</td>
</tr>
<tr>
<td align="center">925</td>
<td align="center">13.70</td>
</tr>
<tr>
<td rowspan="2" align="center">uncoated Zr</td>
<td align="center">200</td>
<td align="center">13.23</td>
</tr>
<tr>
<td align="center">925</td>
<td align="center">26.90</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>In addition, Yook et al. believe that the weight gain method for Zr cladding is informative for setting ECR threshold for Cr-coated cladding. They suggest that the ECR threshold to be set at 13.8% for double-sided oxidation at 1,204&#xb0;C. In that case, the Cr-coated cladding could save for 10 more minutes than the Zr cladding in accident response.</p>
<p>However, there are some views on new ductility evaluation criteria besides the ECR value. For example, <xref ref-type="bibr" rid="B39">Jakub Krej&#x10d;&#xed; et al. (2020)</xref> investigate the relationship between ductility, the internal oxygen content of the samples (which varies very little within one sample) and the hardness of &#x3b2;-Zr, as shown in <xref ref-type="fig" rid="F9">Figure 9</xref>. 0.4&#xa0;wt% oxygen content and HV&#x3b2;-Zr 0.1 &#x3d; 350 can be set as new evaluation criteria.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Results of RCT residual ductility at 135&#xb0;C in relation with <bold>(A)</bold> internal oxygen content, which varies very little within one sample, and <bold>(B)</bold> microhardness of &#x3b2;-Zr from ref (<xref ref-type="bibr" rid="B39">Jakub Krej&#x10d;&#xed; et al., 2020</xref>).</p>
</caption>
<graphic xlink:href="fnuen-02-1212351-g009.tif"/>
</fig>
<p>At present, the evaluation criteria for the ductility of coatings after quenching are divided into two, one is to follow the ECR value of oxidation, which can be obtained by evaluating the calculation results of the BJ or CP relations, or modifying the 17% threshold value derived from the weight gain method; the other way is to use new physical properties (such as oxygen content and micro-zone hardness mentioned above) to characterize the ductility. Both ways need to be further investigated.</p>
</sec>
<sec id="s3-3">
<title>3.3 Creep behavior</title>
<p>During LOCA, the inner pressure of cladding ranging between 1 and 8&#xa0;MPa(<xref ref-type="bibr" rid="B15">Chalupov&#xe1; et al., 2019</xref>). The failure of Cr-coated cladding caused by creep is also studied in recent studies.</p>
<p>Brachet et al. report (J. C. <xref ref-type="bibr" rid="B12">Brachet et al., 2016</xref>) isothermal creep tests with constant internal pressure. The results show that the Cr coating enhance the overall thermomechanical properties and have a positive effect on prolonging the rupture time in the temperature range of 600&#xb0;C&#x2013;1,000&#xb0;C. In the follow-up test (J. C. <xref ref-type="bibr" rid="B11">Brachet et al., 2017</xref>), they report a significant decrease in circumferential elongation for Cr-coated M5&#x2122;, demonstrating the ability of the Cr coating to enhance the creep resistance of the cladding.</p>
<p>Ad&#xe9;la Chalupov&#xe1; et al. (<xref ref-type="bibr" rid="B15">Chalupov&#xe1; et al., 2019</xref>) measure the deformation of creep burst specimens at 800&#xb0;C in the position of 20&#xa0;mm from the burst-opening. The creep rate is determined by the occurrence of uniform deformation at the location. The results show that the creep rate of Cr-coated samples is lower for circumferential strain greater than 40&#xa0;MPa. In addition, the higher the circumferential strain, the greater the discrepancy in creep rate between Cr-coated and uncoated specimens.</p>
<p>The current general acknowledgement is that Cr coating enhances the creep resistance of Zr cladding. However, quantitative studies on creep testing have not been reported yet and need further studies.</p>
</sec>
<sec id="s3-4">
<title>3.4 Balloon and burst behavior</title>
<p>The general patterns in current burst tests (<xref ref-type="bibr" rid="B32">Kim et al., 2015</xref>; <xref ref-type="bibr" rid="B17">Delafoy et al., 2018</xref>; J. C; <xref ref-type="bibr" rid="B11">Brachet et al., 2017</xref>; <xref ref-type="bibr" rid="B18">Dumerval et al., 2020</xref>) is that the Cr-coated cladding can improve burst resistance in following aspects: higher burst temperature, lower circumferential strain in the burst region, and smaller burst openings. The results are summarized in <xref ref-type="fig" rid="F10">Figure 10</xref> as general results.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>General results of general cladding balloon and burst tests (<xref ref-type="bibr" rid="B53">Park et al., 2016</xref>; J. C; <xref ref-type="bibr" rid="B11">Brachet et al., 2017</xref>; Dumerval et al., n.d.) and the abnormal results (<xref ref-type="bibr" rid="B5">Bell et al., 2022</xref>).</p>
</caption>
<graphic xlink:href="fnuen-02-1212351-g010.tif"/>
</fig>
<p>
<xref ref-type="bibr" rid="B32">Kim et al. (2015)</xref> attribute the improved burst resistance mainly to the Cr coating which increases the overall strength of the cladding. To investigate the ductility of the burst samples, <xref ref-type="bibr" rid="B53">Park et al. (2016)</xref> perform four-point bending tests. It is stated that the maximum load on the burst coating sample is greater. This is due to the retardation of oxidation in Zr substrate, as well as the lower circumferential strain and thicker wall on the opposite side of the burst opening.</p>
<p>However, some test results deviate from the general rules:</p>
<p>The tests performed by <xref ref-type="bibr" rid="B5">Bell et al. (2022)</xref> use pulsed DC magnetron sputtering to prepare coated samples of 4&#xa0;&#xb5;m thickness, shown in <xref ref-type="fig" rid="F10">Figure 10</xref> abnormal results. The pattern is basically the same at high pressure, but the burst temperature of the Cr-coated sample is lower at low pressure level, and no significant effect of the coating on radial strain is found. The oxidation on the opposite side of the burst opening proves that the Cr coating has some protective effect on the substrate, but in the high strain region near the opening, the coating loses its protectiveness due to the penetrating cracks, and a 50&#x2013;60&#xa0;&#xb5;m thick ZrO<sub>2</sub> layer appears on both inner and outer layer of the samples.</p>
<p>To predict the balloon-burst behavior, <xref ref-type="bibr" rid="B46">Z. Ma et al. (2021b)</xref> perform numerical simulations using ABAQUS software. They conclude that thicker coatings may slightly increase the burst strain rate, but overall, the effect of coating thickness on balloon and burst temperature is not significant, which somewhat contradicts the experimental results of <xref ref-type="bibr" rid="B5">Bell et al. (2022)</xref>. Since the thickness data of the coating samples cited by Ma et al. and shown in <xref ref-type="fig" rid="F10">Figure 10</xref> &#x201c;General results&#x201d; are greater than 10&#xa0;&#x3bc;m, it is likely that the change in burst size will show a deviated trend for thinner coatings. In addition, Ma et al. conclude the 100% and 85% of the Cr fracture strength at heating rates of 5&#xa0;K/s and 10&#xa0;K/s respectively, to be used as new burst criteria for Cr-coated cladding, and strain rates of 0.23/s and 0.07/s as plastic instability criteria for Cr-coated cladding.</p>
<p>
<xref ref-type="bibr" rid="B61">Shahin et al. (2022)</xref> perform test on 20&#x2013;30&#xa0;&#xb5;m thick coated samples prepared by CS and observe that the crack lengths in Cr-coated and uncoated samples are close, with slightly longer cracks in the Cr-coated samples, but no detailed schematic diagram is provided in their paper.</p>
</sec>
</sec>
<sec id="s4">
<title>4 Prospect of future works</title>
<p>For now, Westinghouse, General Electric, KAERI, CEA, AREVA (Framatome), and NPIC all focus on the development and commercial application of Cr-coated Zr alloy cladding (<xref ref-type="bibr" rid="B6">Jeremy Bischoff et al., 2018a</xref>; <xref ref-type="bibr" rid="B16">Chen, Wang, and Zhang, 2020</xref>; <xref ref-type="bibr" rid="B37">Ko et al., 2022</xref>). The Cr coating cladding already meets the expectation of suppressing the reaction with steam and hydrogen generation (<xref ref-type="bibr" rid="B36">Kim et al., 2017</xref>; <xref ref-type="bibr" rid="B67">Kurt A. Terrani, 2018</xref>). Apart from that, according to the research, Cr-coated cladding also outperforms the original Zr alloy cladding in terms of improving wear resistance, creep resistance, ductility after quenching, and reduce the size of burst opening. However, current studies on several properties and mechanism are still insufficient and need further research:<list list-type="simple">
<list-item>
<p>(1) Fatigue Behavior</p>
</list-item>
</list>
</p>
<p>At present, the number of studies on Cr-coated cladding is relatively small, and most are performed on standard samples other than tubes. The coating process, coating thickness and test environment are not uniform either. Direct comparison is not possible for the present cases, and the experimental conclusions are not instructive for the application of Cr-coated tubular claddings. Based on the fatigue curve of Zr cladding, the characteristics can be further optimized to derive the universal law for Cr-coated claddings.<list list-type="simple">
<list-item>
<p>(2) Coupling Effect of Stress and Oxidation</p>
</list-item>
</list>
</p>
<p>Previous studies mostly conducted high-temperature oxidation tests on samples without the presence of stress, which is implausible under the LOCA. Therefore, the coupling effect of stress and oxidation on crack initiation and propagation in the coating needs to be analyzed in the following study.<list list-type="simple">
<list-item>
<p>(3) Embrittlement Safety Limits After Quenching</p>
</list-item>
</list>
</p>
<p>The current standard follows the traditional method of evaluating the embrittlement of uncoated Zr alloy claddings. That is, the ECR value of 17% based on oxidation weight gain is used as the quench embrittlement threshold. However, tests have shown that this threshold is no longer applicable to Cr-coated claddings. As an alternative, one approach is to use the weight gain method, BJ or CP relationships to define a new ECR limit. The other is to define a new limit based on the oxidation behavior and the associated physical properties. Both approaches are in need of further investigation.<list list-type="simple">
<list-item>
<p>(4) Prediction of Coating Life Under LOCA Conditions</p>
</list-item>
</list>
</p>
<p>The duration of effective protection provided by Cr coatings under accident conditions (i.e., coating life) is an important parameter for evaluating coating quality. Existing high-temperature oxidation studies have shown that even if the coating remains, it may not provide effective protection. This indicates that the change in coating thickness cannot simply be used to predict coating life. In this regard, no credible calculation and prediction model has been established yet. A model based on exposure temperature, coating thickness, and elemental diffusion may be proposed in the future to accurately assess coating life.</p>
</sec>
</body>
<back>
<sec id="s5">
<title>Author contributions</title>
<p>Investigation, ZL and HC; Data curation, ZL; Formal analysis, ZL; Visualization, ZL; Writing&#x2014;original draft preparation, ZL; Writing&#x2014;review and editing, ZL and XW; Supervision, XW, RZ, HC, TW, LY, and PW; Project administration, RZ. All authors contributed to the article and approved the submitted version.</p>
</sec>
<ack>
<p>Deep and sincere thanks to Dai M. for the 6 years of companionship and to A. Cao for the warm emotional support.</p>
</ack>
<sec sec-type="COI-statement" id="s6">
<title>Conflict of interest</title>
<p>The 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 sec-type="disclaimer" id="s7">
<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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