Calculus of Variations and Geometric Measure Theory

A. Braides - V. Chiadò Piat

Another brick in the wall

created by braidesa on 04 Mar 2005


Conference Proceeding

Inserted: 4 mar 2005

Year: 2005


We study the homogenization of a linearly elastic energy defined on a periodic collection of disconnected sets with a unilateral condition on the contact region between two such sets, with the model of a brick wall in mind. Using the language of $\Gamma$-convergence we show that the limit homogenized behaviour of such an energy can be described on the space of functions with bounded deformation using the masonry-type functionals studied by Anzellotti, Giaquinta and Giusti. In this case, the limit energy density is given by the homogenization formula related to the brick-wall type energy.