Constitutive Equations of Yield Stress Sensitivity to Strain Rate of Metals: A Comparative Study
Several constitutive equations have proposed to model the strain rate sensitivity of metals to strain rate. This paper presents a comparative of six equations reported in the open literature. All equations are used to fit the yield stress of three copper materials and one steel material at two diffe...
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Format: | Article |
Language: | English |
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Wiley
2016-01-01
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Series: | Journal of Engineering |
Online Access: | http://dx.doi.org/10.1155/2016/3279047 |
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author | Ammar A. Al Salahi Ramzi Othman |
author_facet | Ammar A. Al Salahi Ramzi Othman |
author_sort | Ammar A. Al Salahi |
collection | DOAJ |
description | Several constitutive equations have proposed to model the strain rate sensitivity of metals to strain rate. This paper presents a comparative of six equations reported in the open literature. All equations are used to fit the yield stress of three copper materials and one steel material at two different temperatures. A specific cost function and an optimization problem are defined. The authors recommend the use of the Cowper-Symonds equation or a modified-Eyring equation as both of them fit well the experimental data while using only three material constants. A modified flow stress Johnson-Cook equation is then proposed for metallic materials. |
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id | doaj-art-e2c0a96544bb47d69897feab178212dc |
institution | Kabale University |
issn | 2314-4904 2314-4912 |
language | English |
publishDate | 2016-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Engineering |
spelling | doaj-art-e2c0a96544bb47d69897feab178212dc2025-02-03T06:01:19ZengWileyJournal of Engineering2314-49042314-49122016-01-01201610.1155/2016/32790473279047Constitutive Equations of Yield Stress Sensitivity to Strain Rate of Metals: A Comparative StudyAmmar A. Al Salahi0Ramzi Othman1Mechanical Engineering Department, Faculty of Engineering, King Abdul-Aziz University, P.O. Box 80248, Jeddah 21589, Saudi ArabiaMechanical Engineering Department, Faculty of Engineering, King Abdul-Aziz University, P.O. Box 80248, Jeddah 21589, Saudi ArabiaSeveral constitutive equations have proposed to model the strain rate sensitivity of metals to strain rate. This paper presents a comparative of six equations reported in the open literature. All equations are used to fit the yield stress of three copper materials and one steel material at two different temperatures. A specific cost function and an optimization problem are defined. The authors recommend the use of the Cowper-Symonds equation or a modified-Eyring equation as both of them fit well the experimental data while using only three material constants. A modified flow stress Johnson-Cook equation is then proposed for metallic materials.http://dx.doi.org/10.1155/2016/3279047 |
spellingShingle | Ammar A. Al Salahi Ramzi Othman Constitutive Equations of Yield Stress Sensitivity to Strain Rate of Metals: A Comparative Study Journal of Engineering |
title | Constitutive Equations of Yield Stress Sensitivity to Strain Rate of Metals: A Comparative Study |
title_full | Constitutive Equations of Yield Stress Sensitivity to Strain Rate of Metals: A Comparative Study |
title_fullStr | Constitutive Equations of Yield Stress Sensitivity to Strain Rate of Metals: A Comparative Study |
title_full_unstemmed | Constitutive Equations of Yield Stress Sensitivity to Strain Rate of Metals: A Comparative Study |
title_short | Constitutive Equations of Yield Stress Sensitivity to Strain Rate of Metals: A Comparative Study |
title_sort | constitutive equations of yield stress sensitivity to strain rate of metals a comparative study |
url | http://dx.doi.org/10.1155/2016/3279047 |
work_keys_str_mv | AT ammaraalsalahi constitutiveequationsofyieldstresssensitivitytostrainrateofmetalsacomparativestudy AT ramziothman constitutiveequationsofyieldstresssensitivitytostrainrateofmetalsacomparativestudy |