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

Worcester Polytechnic Institute, United States of America   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

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.

Joint work with Riuji Sato (Worcester Polytechnic Institute).

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