Peridynamic computational homogenization theory for materials with evolving microstructure and damage

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