MULTISCALE MODELLING OF NON-LINEAR BEHAVIOUR OF HETEROGENEOUS MATERIALS: COMPARISON OF RECENT HOMOGENEISATION METHODS

摘要

This paper aims at evaluating recent homogenisation methods for scale changes in the micro-to-macro elastoplastic analysis of composites as well as polycrystalline aggregate. The corresponding localisation rules are recalled including, the T.F.A scheme, the incremental tangent approach of Hill, and the more recent affine method. These different schemes are finally applied to predict the overall behaviour of metal-matrix composites. With the help of simulations performed by the Finite Element method, we will discuss the limitations and the advantages of these procedures.