Multi-scale analysis for polycrystalline metals with continuum damage model

Abstract

A rate-independent damage-elastic-plastic constitutive model for single crystals is proposed and incorporated with the method of two-scale analysis method to characterize both the deformation characteristics and the strength of polycrystalline metals. First, we introduce a relevant kinematics associated with the multiplicative decomposition of the deformation gradient into elastic, plastic and damage deformation components. Next, the evolution equations of state variables are formulated with the principle of maximum dissipation in the framework of multisurface plasticity, and the associated state update algorithm is developed along with the corresponding consistent tangent moduli. After examining the basic characteristics of the proposed constitutive model, we demonstrate the promise and potential of the developed two-scale analysis method.