Finite Deformation Theory of Elastoplasicity

Abstract

The generalization of the classical rate-independent elastoplasic constitutive law to account for large deformation and geometry change is attemped. In the present paper, attention is focused on a new decomposition of the stretching tensor D and the spin tentor W into the elastic and plastic parts using polar decomposition of the deformation gradient tensor F given by Lee. Proposed decomposition of the stretching tensor D satisfies both conditions of summability and objectivity. The general framework of constitutive modeling of elastoplasticity is derived from the simple material of rational framework of constitutive modeling of elastoplasticity is derived from the simple material of rational mechanics. The datailed formulations of stress-strain relation for Prager's kinematic hardening law are described, and several tensors related to deformations are also presented in terms of displacements to be applicable for computational mechanics.