Chapter 16 - The kinematics of damage for finite-strain elasto-plastic solids

Abstract

This chapter introduces the kinematics of damage for finite strain elasto-plastic deformation by using the fourth-order damage effect tensor through the concept of the effective stress within the framework of continuum damage mechanics. This proposed approach provides a general description of kinematics of damage applicable to finite strains. This is accomplished by directly considering the kinematics of the deformation field. The damage is described kinematically in both the elastic domain and plastic domain using the fourth-order damage effect tensor. This chapter characterizes the damage effect tensor explicitly in terms of a kinematic measure of damage through a second-order damage tensor. The finite elasto-plastic deformation behavior with damage is also viewed within the framework of thermodynamics with internal state variables. Using the consistent thermodynamic formulation, the strain due to damage and the associated dissipation energy due to this strain are introduced separately in the chapter.