Constitutive Equations of Yield Stress Sensitivity to Strain Rate of Metals: A Comparative Study

Author:

Al Salahi Ammar A.1,Othman Ramzi1

Affiliation:

1. Mechanical Engineering Department, Faculty of Engineering, King Abdul-Aziz University, P.O. Box 80248, Jeddah 21589, Saudi Arabia

Abstract

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.

Publisher

Hindawi Limited

Subject

Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Hardware and Architecture,Mechanical Engineering,General Chemical Engineering,Civil and Structural Engineering

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