Constitutive Model for Equivalent Stress-Plastic Strain Curves Including Full-Range Strain Hardening Behavior of High-Strength Steel at Elevated Temperatures
High-strength steel has been increasingly applied to engineering structures and inevitably faces fire risks. The equivalent stress-plastic strain (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub&g...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-11-01
|
| Series: | Materials |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1996-1944/15/22/8075 |
| _version_ | 1797464758768631808 |
|---|---|
| author | Xiang Zeng Wanbo Wu Juan Zou Mohamed Elchalakani |
| author_facet | Xiang Zeng Wanbo Wu Juan Zou Mohamed Elchalakani |
| author_sort | Xiang Zeng |
| collection | DOAJ |
| description | High-strength steel has been increasingly applied to engineering structures and inevitably faces fire risks. The equivalent stress-plastic strain (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>σ</mi><mrow><mi>eq</mi></mrow></msub></mrow></semantics></math></inline-formula>− <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ε</mi><mrow><mi>eqp</mi></mrow></msub></mrow></semantics></math></inline-formula>) curves of steel at elevated temperatures are indispensable if a refined finite element model is used to investigate the response of steel members and structures under fire. If the tensile deformation of steel is considerable, the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>σ</mi><mrow><mi>eq</mi></mrow></msub></mrow></semantics></math></inline-formula>− <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ε</mi><mrow><mi>eqp</mi></mrow></msub></mrow></semantics></math></inline-formula> curves at elevated temperatures are required to consider the strain-hardening behavior during the post-necking phase. However, there is little research on the topic. Based on the engineering stress-strain curves of Q890 high-strength steel in a uniaxial tension experiment at elevated temperatures, the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>σ</mi><mrow><mi>eq</mi></mrow></msub><mo>−</mo><msub><mi>ε</mi><mrow><mi>eqp</mi></mrow></msub></mrow></semantics></math></inline-formula> curves before necking are determined using theoretical formulations. An inverse method based on finite element analysis is used to determine the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>σ</mi><mrow><mi>eq</mi></mrow></msub></mrow></semantics></math></inline-formula>− <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ε</mi><mrow><mi>eqp</mi></mrow></msub></mrow></semantics></math></inline-formula> curves during the post-necking phase. The characteristics of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>σ</mi><mrow><mi>eq</mi></mrow></msub></mrow></semantics></math></inline-formula>−<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ε</mi><mrow><mi>eqp</mi></mrow></msub></mrow></semantics></math></inline-formula> curves, including the full-range strain hardening behavior at different temperatures, are discussed. An equivalent stress-plastic strain model of Q890 steel at elevated temperature is proposed, which is consistent with the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>σ</mi><mrow><mi>eq</mi></mrow></msub><mo>−</mo><msub><mi>ε</mi><mrow><mi>eqp</mi></mrow></msub></mrow></semantics></math></inline-formula> curves. The constitutive model is further verified by comparing the finite element analysis and test results. |
| first_indexed | 2024-03-09T18:11:48Z |
| format | Article |
| id | doaj.art-6c0113e9c43545f39f8791243ea2d11a |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-09T18:11:48Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-6c0113e9c43545f39f8791243ea2d11a2023-11-24T09:03:38ZengMDPI AGMaterials1996-19442022-11-011522807510.3390/ma15228075Constitutive Model for Equivalent Stress-Plastic Strain Curves Including Full-Range Strain Hardening Behavior of High-Strength Steel at Elevated TemperaturesXiang Zeng0Wanbo Wu1Juan Zou2Mohamed Elchalakani3School of Civil Engineering and Architecture, Hainan University, No. 58 Renmin Avenue, Haikou 570228, ChinaSchool of Civil Engineering and Architecture, Hainan University, No. 58 Renmin Avenue, Haikou 570228, ChinaCollege of Urban Construction, Hainan Vocational University of Science and Technology, No. 18 Qiongshan Avenue, Haikou 571137, ChinaThe Department of Civil, Environmental and Mining Engineering, Faculty of Engineering, Computing and Mathematics, The University of Western Australia, 35 Stirling Hwy, Crawley, Perth, WA 6009, AustraliaHigh-strength steel has been increasingly applied to engineering structures and inevitably faces fire risks. The equivalent stress-plastic strain (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>σ</mi><mrow><mi>eq</mi></mrow></msub></mrow></semantics></math></inline-formula>− <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ε</mi><mrow><mi>eqp</mi></mrow></msub></mrow></semantics></math></inline-formula>) curves of steel at elevated temperatures are indispensable if a refined finite element model is used to investigate the response of steel members and structures under fire. If the tensile deformation of steel is considerable, the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>σ</mi><mrow><mi>eq</mi></mrow></msub></mrow></semantics></math></inline-formula>− <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ε</mi><mrow><mi>eqp</mi></mrow></msub></mrow></semantics></math></inline-formula> curves at elevated temperatures are required to consider the strain-hardening behavior during the post-necking phase. However, there is little research on the topic. Based on the engineering stress-strain curves of Q890 high-strength steel in a uniaxial tension experiment at elevated temperatures, the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>σ</mi><mrow><mi>eq</mi></mrow></msub><mo>−</mo><msub><mi>ε</mi><mrow><mi>eqp</mi></mrow></msub></mrow></semantics></math></inline-formula> curves before necking are determined using theoretical formulations. An inverse method based on finite element analysis is used to determine the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>σ</mi><mrow><mi>eq</mi></mrow></msub></mrow></semantics></math></inline-formula>− <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ε</mi><mrow><mi>eqp</mi></mrow></msub></mrow></semantics></math></inline-formula> curves during the post-necking phase. The characteristics of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>σ</mi><mrow><mi>eq</mi></mrow></msub></mrow></semantics></math></inline-formula>−<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ε</mi><mrow><mi>eqp</mi></mrow></msub></mrow></semantics></math></inline-formula> curves, including the full-range strain hardening behavior at different temperatures, are discussed. An equivalent stress-plastic strain model of Q890 steel at elevated temperature is proposed, which is consistent with the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>σ</mi><mrow><mi>eq</mi></mrow></msub><mo>−</mo><msub><mi>ε</mi><mrow><mi>eqp</mi></mrow></msub></mrow></semantics></math></inline-formula> curves. The constitutive model is further verified by comparing the finite element analysis and test results.https://www.mdpi.com/1996-1944/15/22/8075high-strength steelelevated temperatureequivalent stress-plastic strain curvesneckinginverse finite element analysisconstitutive model |
| spellingShingle | Xiang Zeng Wanbo Wu Juan Zou Mohamed Elchalakani Constitutive Model for Equivalent Stress-Plastic Strain Curves Including Full-Range Strain Hardening Behavior of High-Strength Steel at Elevated Temperatures Materials high-strength steel elevated temperature equivalent stress-plastic strain curves necking inverse finite element analysis constitutive model |
| title | Constitutive Model for Equivalent Stress-Plastic Strain Curves Including Full-Range Strain Hardening Behavior of High-Strength Steel at Elevated Temperatures |
| title_full | Constitutive Model for Equivalent Stress-Plastic Strain Curves Including Full-Range Strain Hardening Behavior of High-Strength Steel at Elevated Temperatures |
| title_fullStr | Constitutive Model for Equivalent Stress-Plastic Strain Curves Including Full-Range Strain Hardening Behavior of High-Strength Steel at Elevated Temperatures |
| title_full_unstemmed | Constitutive Model for Equivalent Stress-Plastic Strain Curves Including Full-Range Strain Hardening Behavior of High-Strength Steel at Elevated Temperatures |
| title_short | Constitutive Model for Equivalent Stress-Plastic Strain Curves Including Full-Range Strain Hardening Behavior of High-Strength Steel at Elevated Temperatures |
| title_sort | constitutive model for equivalent stress plastic strain curves including full range strain hardening behavior of high strength steel at elevated temperatures |
| topic | high-strength steel elevated temperature equivalent stress-plastic strain curves necking inverse finite element analysis constitutive model |
| url | https://www.mdpi.com/1996-1944/15/22/8075 |
| work_keys_str_mv | AT xiangzeng constitutivemodelforequivalentstressplasticstraincurvesincludingfullrangestrainhardeningbehaviorofhighstrengthsteelatelevatedtemperatures AT wanbowu constitutivemodelforequivalentstressplasticstraincurvesincludingfullrangestrainhardeningbehaviorofhighstrengthsteelatelevatedtemperatures AT juanzou constitutivemodelforequivalentstressplasticstraincurvesincludingfullrangestrainhardeningbehaviorofhighstrengthsteelatelevatedtemperatures AT mohamedelchalakani constitutivemodelforequivalentstressplasticstraincurvesincludingfullrangestrainhardeningbehaviorofhighstrengthsteelatelevatedtemperatures |