Complementary energy based FE modelling of coupled elasto-plastic and damage behavior for continuum microstructure computations

We introduce a coupled elasto-plastic and damage constitutive model with the stress field as the independent variable. The damage part is described in an analogous way to the classical plasticity models, which enables an efficient use of the complementary variational formulation. We work out the complete numerical implementation and show its efficiency with respect to the more classical displacement based formulation. We demonstrate the particular advantage of using the proposed approach within the framework of structured representation of a heterogeneous material.