Multiscale damage modelling for composite materials: theory and computational framework

A non-local multiscale continuum damage model is developed for brittle composite materials. A triplescale asymptotic analysis is generalized to account for the damage phenomena occurring at micro-, meso- and macroscales. A closed-form expressions relating microscopic, mesoscopic and overall strains and damage is derived. The damage evolution is stated on the smallest scale of interest and non-local weighted phase average ;elds over micro- and mesophases are introduced to alleviate the spurious mesh dependence. Numerical simulation conducted on a composite beam made of Blackglas=Nextel 2-D weave is compared with the test data