Hierarchical Modeling of Damage and Fracture in a Structurally Inhomogeneous Materials Subjected to Deformation

Two computational models of deformation are presented: the first one models aluminum matrix composite with silicon carbide reinforcement; the second models complexly alloyed brass. The models account for material internal structure, as well as for rheological properties of material constituents. Material deformation on micro- and macroscale has been simulated. It is shown that damage mechanics is applicable for simulating fracture of both malleable and brittle constituents of the materials. In numerical simulations an empirically obtained model of composite matrix limiting plasticity is used, which correlates limiting plasticity with stress stiffness coefficient and Lode-Nadai stress state coefficient. On an example of the brass, a technique is developed, that allows one to derive the dependence of limiting deformation of brittle inclusions of metal alloys, on stress stiffness coefficient.