Continuum Damage Models based on Energy Equivalence: Part II — Anisotropic Material Response

Abstract

Anisotropic viscoplasticity coupled with anisotropic damage is modeled in a thermodynamically consistent way. Isotropic and kinematic hardening are present in the viscoplasticity part of the model and the evolution equations for the hardening variables incorporate both, static and dynamic recovery terms. Damage effects are captured in the framework of the concept of effective stress and effective strain combined with the principle of energy equivalence as adopted in Part I. The theory is employed to determine stress distributions for a single-crystal superalloy under complex loading histories. The results are compared with experimental measurements in order to examine the capabilities of the proposed theory.