Two-scale analysis of crack using the extended finite element method

Mathieu Cloirec (1) , Nicolas Moes (1) , Gilles Marckmann (1) , Patrice Cartraud (1)

1 GeM - Institut de Recherche en Génie Civil et Mécanique

The aim of this work is to solve mechanical problems on large structure containingdetails using a two-scale analysis. The structural scale is solved using a mesh whichdoes not take into account the detail. The detail is taken into account by an \extended"homogenization. The homogenization is obtained from a local analysis of the detail on asub-mesh of the structural one. On this local mesh, the X-FEM approach is used to carryout the analysis.

Mots clés: Multi-scale approach; X-FEM; fracture mechanics; lagrange multipliers

Domaines: Mécanique des structures [physics.class-ph]

Mathieu Cloirec, Nicolas Moes, Gilles Marckmann, Patrice Cartraud. Two-scale analysis of crack using the extended finite element method. VIII International Conference on Computational Plasticity, 2005, barcelona, Spain. ⟨hal-01389090⟩