Antiplane two-scale model for dynamic failure

摘要

A new dynamic damage law is proposed for the anti-plane loading case. The model is deduced from the energy criterion describing the dynamic propagation of microcracks by using the mathematical homogenization method based on asymptotic expansions. A study of the local macroscopic response predicted by the new model is conducted to highlight the influence of parameters like the size of the microstructure and the rate of loading on the evolution of damage. Results of macroscopic simulations of dynamic failure and the associated branching instabilities are presented and compared with those reported by experimental observations and theoretical studies on dynamic fracture in brittle materials.