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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Main Authors: Ammar A. Al Salahi, Ramzi Othman
Format: Article
Language:English
Published: Wiley 2016-01-01
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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institution Kabale University
issn 2314-4904
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publishDate 2016-01-01
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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