International audienceThis work is devoted to a study of the classical homogenization process and its influence on the behavior of a composite under non-linear dynamic loading due to contact and friction. First, the general problem of convergence of numerical models subjected to dynamic contact with friction loading is addressed. The use of a regularized friction law allows obtaining good convergence of such models. This study shows that for a dynamic contact with friction loading, the classical homogenization process, coupled with an homogenization of the frictional contact, enables replacing the entire heterogeneous model by a homogenized one. The dynamic part of the frictional contact must be homogenized by modifying the dynamic parameter of the friction law. Modification of the dynamic parameter of the friction law is function of the type and regime of instability. A calculation of a homogenized friction coefficient is presented in view to homogenizing the static part of the frictional contact when the friction coefficient is not constant over the contact surface. Finally matrix and heterogeneities stresses in the heterogeneous models are identified by using the relocalization process and a frictional contact dynamic analysis of a homogeneous model

Abstract. This article is aimed at the developpement of a new model for friction under shock conditions. Thanks to a subgrid model and a specific Coulomb friction law, it takes into account the interface temperature and deformation but also the influence of asperities when the contact pressure is relatively low (≤3 GPa).

This work is devoted to the numerical study of a composite under dynamic contact with friction loading, known as tribological loading. A dynamic explicit finite element model is used and Lagrange multipliers allow determining the local forces due to contact and friction. The convergence of numerical contact with friction models, achieved by using a regularized Coulomb friction law, is presented first. This study also shows the equivalence between the results obtained with heterogeneous and homogeneous materials under dynamical tribological loading. The homogeneous models are built by calling on classical homogenization theory because the main wavelength of the loading is much higher than that of the heterogeneities and the contrast between elastic properties is low. To cite this article: G.