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Wave propagation and anisotropic damage


IPGP - Îlot Cuvier


Séminaires de Sismologie

Salle 310

Ioan Ionescu

Paris 13

We develop here an anisotropic damage model for dynamic processes. The coupled phenomena analyzed here deal with a loading wave which damages the material and changes the propagation properties of material. In this way the speed and the profile of the loading wave is perturbed by the damage processes induced by it. The damage model is represented by micro-cracks developed under dynamical loading. The micro-cracks are assumed to be initially distributed in a uniform and isotropic manner. Then we develop a three-dimensional damage evolution law to determine the effective anisotropic behavior of the material induced by the growing micro-cracks. The micro-crack growth is activated in some privileged directions according to the applied macroscopic loads and the velocity of the micro-crack propagation is estimated by the dynamic stress intensity factor. We developed also a discontinuous Galerkin numerical scheme for the numerical integration of the proposed damage model. The scheme is robust and accurate. Several two-dimensional boundary value problems are selected to analyze the robustness of the numerical algorithm. Finally, the damage model is used to describe the earthquake rupture propagation.