Multiscale damage modelling for composite materials: theory and computational framework

Abstract

Abstract A non‐local multiscale continuum damage model is developed for brittle composite materials. A triple‐scale 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 fields 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. Copyright © 2001 John Wiley & Sons, Ltd.