1991•TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series AOpen access

A Tensile Elastic-Plastic-Viscoplastic Constitutive Equation.

Noboru TANIMOTO, Hidekazu Fukuoka, Kazutaka FUJITA

Abstract

In the present paper, a tensile elastic-plastic-viscoplastic constitutive equation is proposed, where the concepts of understress and overstress are introduced. Using the proposed equation, strain-rate-dependence of stress, high strain-rate-dependence of stress, strain-dependence of wave propagation speed and strain-rate-dependence of wave propagation speed are shown. It is shown that the proposed elastic-plastic-viscoplastic constitutive equation contains an elastic-plastic constitutive equation and an elastic-viscoplastic constitutive equation. Also, a discussion is made on viscoplastic strain and a new type of elastic-plastic constitutive equation is given.

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Key concepts: Viscoplasticity, Constitutive equation, Cauchy elastic material, Levy–Mises equations, Materials science, Strain rate, Mechanics, Composite material