A COMPUTATIONAL APPROACH TO DEAL WITH COMPLEX MICROSTRUCTURE GEOMETRIES

International audienceIn multiscale analysis of components, there is usually a need to solve micro-structures with complex geometries. In this paper, we use the extended finite element method (X-FEM) to solve scales involving complex geometries. The X-FEM allows one to use meshes not necessarily matching the physical surface of the problem while retaining the accuracy of the classical finite element approach. For material interfaces, this is achieved by introducing a new enrichment strategy. Numerical experiments on the periodic homogenization of two-phase complex cells demonstrate the accuracy and simplicity of the X-FEM