DOI: 10.68381/jca28039 ISSN: 0944-6532

Homogenization of the Elasticity Problem for a Material with Fractures

Riuji Sato, Bogdan Vernescu

We consider the stationary linear 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 L 2
topology.