A plasticity-damage theory for large deformation of solids—II. Applications to finite simple shear

Abstract

The theoretical formulation of a coupled theory of continuum damage mechanics and finite strain plasticity is presented in Part I of this research. In Part II, a numerical application is presented to show how the model can be used to solve practical problems. In addition, several remarks are presented concerning some of the basic assumptions of the theory. In particular, explicit matrix representations are derived for the damage effect tensor in the cases of plane stress and plane strain. The problem of finite simple shear is investigated. It is noticed that the resulting differential equations are solved numerically using a Runge-Kutta-Verner fifth and sixth order method. The results for the stress, backstress and damage variables are compared with a previous damage theory by the authors, as well as with an undamaged plasticity model.