Multi-scale modelling of heterogeneous shell structures

T.J. Massart (1) , B.C.N. Mercatoris (1) , Benoît Piezel (1) , P. Berke (1) , Lucien Laiarinandrasana (2) , Alain Thionnet (2, 3)

1 ULB - Université libre de Bruxelles
2 CDM - Centre des Matériaux
3 UB - Université de Bourgogne

This paper reviews multi-scale computational homogenisation frameworks for the non-linear behaviour of heterogeneous thin planar shells. Based on a review of some of the currently available methods, a computational homogenisation scheme for shells is applied on to representative volume elements for plain weave composites. The effect of flexural loading on the potential failure modes of such materials is analysed, focusing on the reinforcement-matrix delamination mechanism. The attention is next shifted toward failure localisation in masonry unit cells. Subsequently, a recently developed computational FE2 solution scheme accounting for damage localisation at structural scales based on RVE computations is applied.

Mots clés: thin planar shells; computational homogenisation; failure; textile reinforced composites; masonry

Domaines: Matériaux

T.J. Massart, B.C.N. Mercatoris, Benoît Piezel, P. Berke, Lucien Laiarinandrasana, et al.. Multi-scale modelling of heterogeneous shell structures. Computer Assisted Mechanics and Engineering Sciences, 2011, 18, pp.53-71. ⟨hal-00714256⟩