A multi-scale model of plasticity and damage for rock-like materials with pores and inclusions

A multi-scale model is developed for modeling of plastic deformation and induced damage in rock-like materials containing pores mineral inclusions. An analytical macroscopic yield criterion first determined from three steps homogenization. This explicitly takes into account respective effects two populations inclusions at different scales. The accuracy evaluated by comparisons with numerical results issued direct simulations on representative volume elements. Then, an evolution law defined to describe the onset growth micro-cracks inside solid matrix materials. affects both elastic strength properties its coupled deformation. performance proposed assessed through a series examples, clearly showing influences responses heterogeneous Finally, applied mechanical behaviors clayey rocks. Comparisons between experimental data are presented.