Peridynamic computational homogenization theory for materials with evolving microstructure and damage

This study aims to establish a framework for multiscale assessment of damage for materials with evolving microstructure based on a recently proposed peridynamic computational homogenization theory. The framework starts with replacing a material with complex microstructure with a constitutively equivalent material that is microstructurally homogenous. Constitutive equivalence between the original and the substitute materials is achieved through enforcing strain energy equivalence via the so-called nonlocal Hill’s lemma. The damage law is obtained by numerically solving boundary volume constraint problem of an RVE. The result from the analysis of the RVE problem was compared with the previously published result to establish the validity of the proposed framework. The comparison shows good agreement between result obtained using the proposed framework and those reported in the literature.