Damage as Gamma-limit of microfractures in anti-plane linearized elasticity
Mathematical Physics
2008-03-07 v1 Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.0803.0931,
title = {Damage as Gamma-limit of microfractures in anti-plane linearized elasticity},
author = {Lucia Scardia},
journal= {arXiv preprint arXiv:0803.0931},
year = {2008}
}
Comments
28 pages, 2 figures. Accepted in M3AS