Inelastic Constitutive Equation and Damage Evolution Equation of Material with Anisotropic Damage

Abstract

The thermodynamic constitutive theory described in the preceding chapter is applied to inelastic materials with isotropic damage. In Section 4.1, one-dimensional elastic-plastic and elastic-viscoplastic constitutive equations of damaged materials will be described as the basis for the succeeding sections. The application of the constitutive theory of Chapter 3 to the three-dimensional case will be discussed in Section 4.2. The strain energy release rate due to damage development and the stress criterion for elastic-plastic damage growth will be considered in Section 4.3, while Section 4.4 is concerned with the inelastic damage theories based on the hypothesis of mechanical equivalence.