## View abstract

### Session S02 - Diverse Aspects of Elliptic PDEs and Related Problems

Wednesday, July 21, 16:30 ~ 17:00 UTC-3

## Elastic bodies with fractures: duality and homogenization

### Bogdan Vernescu

We consider the stationary elasticity problem for a solid with fractures, and review, in the framework of Legendre-Fenchel duality, three equivalent formulations for the problem in terms of displacement, stress, and strain. For periodically distributed fractures, we prove a homogenization result using Mosco-convergence in the $L^2$- topology.