Anisotropic time dependent and continuum damage coupled plasticity model: An application for Mg AZ31B

Abstract

In this work, an anisotropic and time-dependent continuum damage-coupled plasticity model is written under a finite strain formulation in arbitrary coordinate space to describe the mechanical behavior of ductile materials. The model accommodates the simulation of proportional and non-proportional 3D loadings. A phenomenological continuum damage mechanics approach is suggested to model the anisotropic damage in the mechanical behavior, including the post-necking region, up to failure. The mathematical model scheme captures the strain rate effect on the material's mechanical response and precisely approximates the yield stress, ultimate tensile strength, and strain to fracture. This paper also presents an implicit time integration method for the anisotropic time-dependent continuum damage-coupled plasticity model under finite strains. The prediction capability of the proposed model is validated by comparing the numerical results to uniaxial tensile experiments on TRC sheets of Mg AZ31B alloy. Magnesium alloys are the lightest engineering metals and therefore are potential candidates for use in stamped automotive panels. Comparisons between the numerical predictions and the experimental results show fair agreement over a wide range of strain rates and temperatures.