Damage as Gamma-limit of microfractures in anti-plane linearized elasticity
arXiv:0803.0931
Abstract
A homogenization result is given for a material having brittle inclusions arranged in a periodic structure. According to the relation between the softness parameter and the size of the microstructure, three different limit models are deduced via Gamma-convergence. In particular, damage is obtained as limit of periodically distributed microfractures.
28 pages, 2 figures. Accepted in M3AS