Elastoviscohysteresis constitutive law in convected coordinate frames: application to finite deformation shear tests

Abstract

 The aim of this contribution is to present a theoretical and numerical model applied to the finite deformations of elastoviscoplastic metallic materials at room temperature. The constitutive equations are integrated numerically in the context of a finite element formulation and numerical examples are given to demonstrate the effectiveness of the model and the numerical algorithms. The model is then compared to experimental results obtained from shear tests of a mild steel for various strain rates. Model predictions show a general agreement with experimental data for monotonic and cyclic conditions on this particular material and reproduce correctly the fast plastic loadings and unloadings in the large deformation field.