Strain-rate effects on the mechanical behavior of high-entropy alloys: A focused review

IF 33.6 1区 材料科学 Q1 MATERIALS SCIENCE, MULTIDISCIPLINARY Progress in Materials Science Pub Date : 2025-03-20 DOI:10.1016/j.pmatsci.2025.101475
Muyideen Adegbite, Ahmed A. Tiamiyu
{"title":"Strain-rate effects on the mechanical behavior of high-entropy alloys: A focused review","authors":"Muyideen Adegbite, Ahmed A. Tiamiyu","doi":"10.1016/j.pmatsci.2025.101475","DOIUrl":null,"url":null,"abstract":"To address one of the key challenge areas associated with high-entropy alloys (HEAs)— “Scattered Data with Uncertain Materials Pedigree”, as highlighted in the <em>TMS accelerator study in 2021: Defining Pathways for Realizing the Revolutionary Potential of High Entropy Alloys</em>, this review collates HEA mechanical data over strain-rates, <span><span style=\"\"></span><span data-mathml='&lt;math xmlns=\"http://www.w3.org/1998/Math/MathML\"&gt;&lt;mover accent=\"true\" is=\"true\"&gt;&lt;mi is=\"true\"&gt;&amp;#x3B5;&lt;/mi&gt;&lt;mo is=\"true\"&gt;&amp;#x307;&lt;/mo&gt;&lt;/mover&gt;&lt;/math&gt;' role=\"presentation\" style=\"font-size: 90%; display: inline-block; position: relative;\" tabindex=\"0\"><svg aria-hidden=\"true\" focusable=\"false\" height=\"1.971ex\" role=\"img\" style=\"vertical-align: -0.235ex;\" viewbox=\"0 -747.2 471.6 848.5\" width=\"1.095ex\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g fill=\"currentColor\" stroke=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><g is=\"true\"><g is=\"true\"><use xlink:href=\"#MJMATHI-3B5\"></use></g><g is=\"true\" transform=\"translate(161,-21)\"><use x=\"309\" xlink:href=\"#MJMAIN-307\" y=\"0\"></use></g></g></g></svg><span role=\"presentation\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mover accent=\"true\" is=\"true\"><mi is=\"true\">ε</mi><mo is=\"true\">̇</mo></mover></math></span></span><script type=\"math/mml\"><math><mover accent=\"true\" is=\"true\"><mi is=\"true\">ε</mi><mo is=\"true\">̇</mo></mover></math></script></span>, between 10<sup>-5</sup> and 10<sup>5</sup> s<sup>-1</sup>. We focus the aggregated data on coarse-grained HEAs to isolate processing pathway and grain-size effects, identify uncharted regimes, and establish a strong strain-rate–yield strength relationship. We evaluate the deformation mechanisms in HEAs and develop a deformation mechanism map for FCC-HEA—CoCrFeMnNi. With a brief discussion on strengthening mechanisms and evaluation of aggregated data, we develop simple yield-strength prediction models for FCC <span><span style=\"\"></span><span data-mathml='&lt;math xmlns=\"http://www.w3.org/1998/Math/MathML\"&gt;&lt;mrow is=\"true\"&gt;&lt;mo stretchy=\"false\" is=\"true\"&gt;[&lt;/mo&gt;&lt;msubsup is=\"true\"&gt;&lt;mi is=\"true\"&gt;&amp;#x3C3;&lt;/mi&gt;&lt;mrow is=\"true\"&gt;&lt;mi is=\"true\"&gt;y&lt;/mi&gt;&lt;mo is=\"true\"&gt;,&lt;/mo&gt;&lt;mi is=\"true\"&gt;m&lt;/mi&gt;&lt;mi is=\"true\"&gt;o&lt;/mi&gt;&lt;mi is=\"true\"&gt;d&lt;/mi&gt;&lt;mi is=\"true\"&gt;e&lt;/mi&gt;&lt;mi is=\"true\"&gt;l&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow is=\"true\"&gt;&lt;mi mathvariant=\"italic\" is=\"true\"&gt;FCC&lt;/mi&gt;&lt;mo is=\"true\"&gt;-&lt;/mo&gt;&lt;mi is=\"true\"&gt;H&lt;/mi&gt;&lt;mi is=\"true\"&gt;E&lt;/mi&gt;&lt;mi is=\"true\"&gt;A&lt;/mi&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mo linebreak=\"goodbreak\" linebreakstyle=\"after\" is=\"true\"&gt;=&lt;/mo&gt;&lt;mrow is=\"true\"&gt;&lt;mo stretchy=\"false\" is=\"true\"&gt;(&lt;/mo&gt;&lt;mn is=\"true\"&gt;0.0245&lt;/mn&gt;&lt;msup is=\"true\"&gt;&lt;mrow is=\"true\"&gt;&lt;mover accent=\"true\" is=\"true\"&gt;&lt;mi is=\"true\"&gt;&amp;#x3B5;&lt;/mi&gt;&lt;mo is=\"true\"&gt;&amp;#x307;&lt;/mo&gt;&lt;/mover&gt;&lt;/mrow&gt;&lt;mfrac is=\"true\"&gt;&lt;mn is=\"true\"&gt;1&lt;/mn&gt;&lt;mn is=\"true\"&gt;4&lt;/mn&gt;&lt;/mfrac&gt;&lt;/msup&gt;&lt;mo is=\"true\"&gt;+&lt;/mo&gt;&lt;mspace width=\"0.166667em\" is=\"true\" /&gt;&lt;mn is=\"true\"&gt;0.1171&lt;/mn&gt;&lt;mo stretchy=\"false\" is=\"true\"&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mo is=\"true\"&gt;&amp;#x2217;&lt;/mo&gt;&lt;msub is=\"true\"&gt;&lt;mi is=\"true\"&gt;T&lt;/mi&gt;&lt;mi is=\"true\"&gt;m&lt;/mi&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;' role=\"presentation\" style=\"font-size: 90%; display: inline-block; position: relative;\" tabindex=\"0\"><svg aria-hidden=\"true\" focusable=\"false\" height=\"3.932ex\" role=\"img\" style=\"vertical-align: -1.274ex;\" viewbox=\"0 -1144.6 17165.4 1693.1\" width=\"39.868ex\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g fill=\"currentColor\" stroke=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><g is=\"true\"><g is=\"true\"><use xlink:href=\"#MJMAIN-5B\"></use></g><g is=\"true\" transform=\"translate(278,0)\"><g is=\"true\"><use xlink:href=\"#MJMATHI-3C3\"></use></g><g is=\"true\" transform=\"translate(572,403)\"><g is=\"true\"><use transform=\"scale(0.707)\" xlink:href=\"#MJMATHI-46\"></use><use transform=\"scale(0.707)\" x=\"643\" xlink:href=\"#MJMATHI-43\" y=\"0\"></use><use transform=\"scale(0.707)\" x=\"1359\" xlink:href=\"#MJMATHI-43\" y=\"0\"></use></g><g is=\"true\" transform=\"translate(1466,0)\"><use transform=\"scale(0.707)\" xlink:href=\"#MJMAIN-2212\"></use></g><g is=\"true\" transform=\"translate(2017,0)\"><use transform=\"scale(0.707)\" xlink:href=\"#MJMATHI-48\"></use></g><g is=\"true\" 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is=\"true\"><use xlink:href=\"#MJMATHI-54\"></use></g><g is=\"true\" transform=\"translate(584,-150)\"><use transform=\"scale(0.707)\" xlink:href=\"#MJMATHI-6D\"></use></g></g></g></g></svg><span role=\"presentation\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow is=\"true\"><mo is=\"true\" stretchy=\"false\">[</mo><msubsup is=\"true\"><mi is=\"true\">σ</mi><mrow is=\"true\"><mi is=\"true\">y</mi><mo is=\"true\">,</mo><mi is=\"true\">m</mi><mi is=\"true\">o</mi><mi is=\"true\">d</mi><mi is=\"true\">e</mi><mi is=\"true\">l</mi></mrow><mrow is=\"true\"><mi is=\"true\" mathvariant=\"italic\">FCC</mi><mo is=\"true\">-</mo><mi is=\"true\">H</mi><mi is=\"true\">E</mi><mi is=\"true\">A</mi></mrow></msubsup><mo is=\"true\" linebreak=\"goodbreak\" linebreakstyle=\"after\">=</mo><mrow is=\"true\"><mo is=\"true\" stretchy=\"false\">(</mo><mn is=\"true\">0.0245</mn><msup is=\"true\"><mrow is=\"true\"><mover accent=\"true\" is=\"true\"><mi is=\"true\">ε</mi><mo is=\"true\">̇</mo></mover></mrow><mfrac is=\"true\"><mn is=\"true\">1</mn><mn is=\"true\">4</mn></mfrac></msup><mo is=\"true\">+</mo><mspace is=\"true\" width=\"0.166667em\"></mspace><mn is=\"true\">0.1171</mn><mo is=\"true\" stretchy=\"false\">)</mo></mrow><mo is=\"true\">∗</mo><msub is=\"true\"><mi is=\"true\">T</mi><mi is=\"true\">m</mi></msub></mrow></math></span></span><script type=\"math/mml\"><math><mrow is=\"true\"><mo stretchy=\"false\" is=\"true\">[</mo><msubsup is=\"true\"><mi is=\"true\">σ</mi><mrow is=\"true\"><mi is=\"true\">y</mi><mo is=\"true\">,</mo><mi is=\"true\">m</mi><mi is=\"true\">o</mi><mi is=\"true\">d</mi><mi is=\"true\">e</mi><mi is=\"true\">l</mi></mrow><mrow is=\"true\"><mi mathvariant=\"italic\" is=\"true\">FCC</mi><mo is=\"true\">-</mo><mi is=\"true\">H</mi><mi is=\"true\">E</mi><mi is=\"true\">A</mi></mrow></msubsup><mo linebreak=\"goodbreak\" linebreakstyle=\"after\" is=\"true\">=</mo><mrow is=\"true\"><mo stretchy=\"false\" is=\"true\">(</mo><mn is=\"true\">0.0245</mn><msup is=\"true\"><mrow is=\"true\"><mover accent=\"true\" is=\"true\"><mi is=\"true\">ε</mi><mo is=\"true\">̇</mo></mover></mrow><mfrac is=\"true\"><mn is=\"true\">1</mn><mn is=\"true\">4</mn></mfrac></msup><mo is=\"true\">+</mo><mspace width=\"0.166667em\" is=\"true\"></mspace><mn is=\"true\">0.1171</mn><mo stretchy=\"false\" is=\"true\">)</mo></mrow><mo is=\"true\">∗</mo><msub is=\"true\"><mi is=\"true\">T</mi><mi is=\"true\">m</mi></msub></mrow></math></script></span>] and BCC [<span><span style=\"\"></span><span data-mathml='&lt;math xmlns=\"http://www.w3.org/1998/Math/MathML\"&gt;&lt;mrow is=\"true\"&gt;&lt;msubsup is=\"true\"&gt;&lt;mi is=\"true\"&gt;&amp;#x3C3;&lt;/mi&gt;&lt;mrow is=\"true\"&gt;&lt;mi is=\"true\"&gt;y&lt;/mi&gt;&lt;mo is=\"true\"&gt;,&lt;/mo&gt;&lt;mi is=\"true\"&gt;m&lt;/mi&gt;&lt;mi is=\"true\"&gt;o&lt;/mi&gt;&lt;mi is=\"true\"&gt;d&lt;/mi&gt;&lt;mi is=\"true\"&gt;e&lt;/mi&gt;&lt;mi is=\"true\"&gt;l&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow is=\"true\"&gt;&lt;mi mathvariant=\"italic\" is=\"true\"&gt;BCC&lt;/mi&gt;&lt;mo is=\"true\"&gt;-&lt;/mo&gt;&lt;mi is=\"true\"&gt;H&lt;/mi&gt;&lt;mi is=\"true\"&gt;E&lt;/mi&gt;&lt;mi is=\"true\"&gt;A&lt;/mi&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mo linebreak=\"goodbreak\" linebreakstyle=\"after\" is=\"true\"&gt;=&lt;/mo&gt;&lt;mrow is=\"true\"&gt;&lt;mo stretchy=\"false\" is=\"true\"&gt;(&lt;/mo&gt;&lt;mn is=\"true\"&gt;0.0445&lt;/mn&gt;&lt;msup is=\"true\"&gt;&lt;mrow is=\"true\"&gt;&lt;mover accent=\"true\" is=\"true\"&gt;&lt;mi is=\"true\"&gt;&amp;#x3B5;&lt;/mi&gt;&lt;mo is=\"true\"&gt;&amp;#x307;&lt;/mo&gt;&lt;/mover&gt;&lt;/mrow&gt;&lt;mfrac is=\"true\"&gt;&lt;mn is=\"true\"&gt;1&lt;/mn&gt;&lt;mn is=\"true\"&gt;4&lt;/mn&gt;&lt;/mfrac&gt;&lt;/msup&gt;&lt;mo is=\"true\"&gt;+&lt;/mo&gt;&lt;mspace width=\"0.166667em\" is=\"true\" /&gt;&lt;mn is=\"true\"&gt;0.5075&lt;/mn&gt;&lt;mo stretchy=\"false\" is=\"true\"&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mrow is=\"true\"&gt;&lt;mo is=\"true\"&gt;&amp;#x2217;&lt;/mo&gt;&lt;/mrow&gt;&lt;msub is=\"true\"&gt;&lt;mi is=\"true\"&gt;T&lt;/mi&gt;&lt;mi is=\"true\"&gt;m&lt;/mi&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;' role=\"presentation\" style=\"font-size: 90%; display: inline-block; position: relative;\" tabindex=\"0\"><svg aria-hidden=\"true\" focusable=\"false\" height=\"3.932ex\" role=\"img\" style=\"vertical-align: -1.274ex;\" viewbox=\"0 -1144.6 16968.9 1693.1\" width=\"39.412ex\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g fill=\"currentColor\" stroke=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><g is=\"true\"><g is=\"true\"><g is=\"true\"><use xlink:href=\"#MJMATHI-3C3\"></use></g><g is=\"true\" transform=\"translate(572,403)\"><g is=\"true\"><use transform=\"scale(0.707)\" xlink:href=\"#MJMATHI-42\"></use><use transform=\"scale(0.707)\" x=\"759\" xlink:href=\"#MJMATHI-43\" y=\"0\"></use><use transform=\"scale(0.707)\" x=\"1475\" xlink:href=\"#MJMATHI-43\" y=\"0\"></use></g><g 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is=\"true\">A</mi></mrow></msubsup><mo linebreak=\"goodbreak\" linebreakstyle=\"after\" is=\"true\">=</mo><mrow is=\"true\"><mo stretchy=\"false\" is=\"true\">(</mo><mn is=\"true\">0.0445</mn><msup is=\"true\"><mrow is=\"true\"><mover accent=\"true\" is=\"true\"><mi is=\"true\">ε</mi><mo is=\"true\">̇</mo></mover></mrow><mfrac is=\"true\"><mn is=\"true\">1</mn><mn is=\"true\">4</mn></mfrac></msup><mo is=\"true\">+</mo><mspace width=\"0.166667em\" is=\"true\"></mspace><mn is=\"true\">0.5075</mn><mo stretchy=\"false\" is=\"true\">)</mo></mrow><mrow is=\"true\"><mo is=\"true\">∗</mo></mrow><msub is=\"true\"><mi is=\"true\">T</mi><mi is=\"true\">m</mi></msub></mrow></math></script></span>] HEAs; <span><span style=\"\"></span><span data-mathml='&lt;math xmlns=\"http://www.w3.org/1998/Math/MathML\"&gt;&lt;msub is=\"true\"&gt;&lt;mi is=\"true\"&gt;T&lt;/mi&gt;&lt;mi is=\"true\"&gt;m&lt;/mi&gt;&lt;/msub&gt;&lt;/math&gt;' role=\"presentation\" style=\"font-size: 90%; display: inline-block; position: relative;\" tabindex=\"0\"><svg aria-hidden=\"true\" focusable=\"false\" height=\"2.317ex\" role=\"img\" style=\"vertical-align: -0.582ex;\" viewbox=\"0 -747.2 1305.7 997.6\" width=\"3.033ex\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g fill=\"currentColor\" stroke=\"currentColor\" stroke-width=\"0\" transform=\"matrix(1 0 0 -1 0 0)\"><g is=\"true\"><g is=\"true\"><use xlink:href=\"#MJMATHI-54\"></use></g><g is=\"true\" transform=\"translate(584,-150)\"><use transform=\"scale(0.707)\" xlink:href=\"#MJMATHI-6D\"></use></g></g></g></svg><span role=\"presentation\"><math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub is=\"true\"><mi is=\"true\">T</mi><mi is=\"true\">m</mi></msub></math></span></span><script type=\"math/mml\"><math><msub is=\"true\"><mi is=\"true\">T</mi><mi is=\"true\">m</mi></msub></math></script></span>—melting point. These models are simple with parameters that can easily be determined from HEA composition and test condition, yet they capture the essential physics related to bond strength and yield strength; moreover, the models can be coupled with other strengthening sources. Finally, the deformation kinetics of HEAs are examined: the activation-volume range in the thermal-activation regime for FCC-HEAs is 10-100<em>b<sup>3</sup></em> (about one-magnitude lower than conventional FCC metals—100-1000<em>b<sup>3</sup></em>), while BCC-HEAs are within the activation-volume range for conventional BCC metals. The activation-volume range for both FCC and BCC-HEAs is the same—0-10<em>b<sup>3</sup></em> in the viscous phonon-drag regime, which is not well documented. In general, this review shows that HEA mechanical data are aggregable to establish a strong trend observed in deformed HEAs despite their compositionally-complex nature.","PeriodicalId":411,"journal":{"name":"Progress in Materials Science","volume":"32 1","pages":""},"PeriodicalIF":33.6000,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Progress in Materials Science","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1016/j.pmatsci.2025.101475","RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

Abstract

To address one of the key challenge areas associated with high-entropy alloys (HEAs)— “Scattered Data with Uncertain Materials Pedigree”, as highlighted in the TMS accelerator study in 2021: Defining Pathways for Realizing the Revolutionary Potential of High Entropy Alloys, this review collates HEA mechanical data over strain-rates, ε̇, between 10-5 and 105 s-1. We focus the aggregated data on coarse-grained HEAs to isolate processing pathway and grain-size effects, identify uncharted regimes, and establish a strong strain-rate–yield strength relationship. We evaluate the deformation mechanisms in HEAs and develop a deformation mechanism map for FCC-HEA—CoCrFeMnNi. With a brief discussion on strengthening mechanisms and evaluation of aggregated data, we develop simple yield-strength prediction models for FCC [σy,modelFCC-HEA=(0.0245ε̇14+0.1171)Tm] and BCC [σy,modelBCC-HEA=(0.0445ε̇14+0.5075)Tm] HEAs; Tm—melting point. These models are simple with parameters that can easily be determined from HEA composition and test condition, yet they capture the essential physics related to bond strength and yield strength; moreover, the models can be coupled with other strengthening sources. Finally, the deformation kinetics of HEAs are examined: the activation-volume range in the thermal-activation regime for FCC-HEAs is 10-100b3 (about one-magnitude lower than conventional FCC metals—100-1000b3), while BCC-HEAs are within the activation-volume range for conventional BCC metals. The activation-volume range for both FCC and BCC-HEAs is the same—0-10b3 in the viscous phonon-drag regime, which is not well documented. In general, this review shows that HEA mechanical data are aggregable to establish a strong trend observed in deformed HEAs despite their compositionally-complex nature.
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来源期刊
Progress in Materials Science
Progress in Materials Science 工程技术-材料科学:综合
CiteScore
59.60
自引率
0.80%
发文量
101
审稿时长
11.4 months
期刊介绍: Progress in Materials Science is a journal that publishes authoritative and critical reviews of recent advances in the science of materials. The focus of the journal is on the fundamental aspects of materials science, particularly those concerning microstructure and nanostructure and their relationship to properties. Emphasis is also placed on the thermodynamics, kinetics, mechanisms, and modeling of processes within materials, as well as the understanding of material properties in engineering and other applications. The journal welcomes reviews from authors who are active leaders in the field of materials science and have a strong scientific track record. Materials of interest include metallic, ceramic, polymeric, biological, medical, and composite materials in all forms. Manuscripts submitted to Progress in Materials Science are generally longer than those found in other research journals. While the focus is on invited reviews, interested authors may submit a proposal for consideration. Non-invited manuscripts are required to be preceded by the submission of a proposal. Authors publishing in Progress in Materials Science have the option to publish their research via subscription or open access. Open access publication requires the author or research funder to meet a publication fee (APC). Abstracting and indexing services for Progress in Materials Science include Current Contents, Science Citation Index Expanded, Materials Science Citation Index, Chemical Abstracts, Engineering Index, INSPEC, and Scopus.
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