elasto-plasticity; damage evolution; non-local models; generalized stain measures; logarithmic strain
This paper describes model combining elasticity and plasticity coupled
to isotropic damage. However, the conventional theory fails after the loss of ellipticity of the governing differential equation. From the numerical point of view, loss of ellipticity is
manifested by the pathological dependence of the results on the size and orientation
of the finite elements. To avoid this undesired behavior, the model is
regularized by an implicit gradient formulation. Finally, the constitutive model is extended to the large-strain regime. The large strain model is based on the additive decomposition of the logarithmic strain and preserves the structure of the small-strain theory.