Local/global non-intrusive crack propagation simulation using a multigrid X-FEM solver

Jean-Charles Passieux (1) , Julien Réthoré (2) , Anthony Gravouil (2) , Marie-Christine Baietto (2)

1 ICA - Institut Clément Ader
2 MIMESIS - Mécanique Multiéchelle pour les solides

A Local/Global non-intrusive coupling algorithm is proposed for the analysis of mixed-mode crack propagation. It is based on a three scale multigrid and extended finite element method, that was proposed recently for the direct estimation of stress intensity factors of static cracks. The algorithm couples a linear elastic global model (possibly performed by a industrial software) with an enhanced local model capable of modeling a crack and accurately estimating SIFs (performed by a separate research code). It is said non-intrusive since it does not modify the global mesh, its connectivity and solver. For the global model, the contribution of the local patch consists in additional nodal efforts near the crack, which makes it compatible with most softwares. Further the shape of the domain over which the local model is applied is automatically adapted during propagation.

Mots clés: localized multigrid; mixed mode; nested models; williams; stress intensity factors

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

Jean-Charles Passieux, Julien Réthoré, Anthony Gravouil, Marie-Christine Baietto. Local/global non-intrusive crack propagation simulation using a multigrid X-FEM solver. Computational Mechanics, 2013, 52 (6), pp.1381-1393. ⟨10.1007/s00466-013-0882-3⟩. ⟨hal-00824125⟩