Title

Modeling of elasto-plastic material behavior and ductile micropore damage of metallic materials at large deformations

Abstract

In the present work, a continuum-mechanically-oriented phenomenological material model for the description of the elasto-plastic and damage mechanisms of ductile metals at low cycle fatigue is proposed. In particular, the invariant and tensor-valued representation and derivation of all mechanical laws is facilitated considerably by means of a certain tensor formalism for fourth-order tensors and special tensor differentiation rules. Thereby, the framework of tensor analysis on manifolds is used. For the mentioned purpose, the modeling of isochoric finite plasticity is treated first in a comprehensive manner using a model of cyclic plasticity suitable for isotropic and anisotropic hyperelasticity whereby an effective extension of a linear CHABOCHE model to a nonlinear framework is proposed. For the description of isotropic ductile micropore damage, the well-known models of GURSON and ROUSSELIER are formulated in a micromechanically consistent way considering a recent approach of LEBLOND.