Damage as Gamma-limit of microfractures in anti-plane linearized elasticity

Details Damage as Gamma-limit of microfractures in anti-plane linearized elasticity Damage as Gamma-limit of microfractures in anti-plane linearized elasticity

2008-03-06

arxiv.org/abs/0803.0931v1

Physics

Mathematical Physics

28 pages, 2 figures. Accepted in M3AS

Scientific paper

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.

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