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 behavior 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.

Braides, A., & Piat, V. (2006). Another brick in the wall. In Variational Problems in Materials Science (pp.13-24). BASEL : BIRKHAUSER VERLAG AG.

Another brick in the wall

BRAIDES, ANDREA;
2006

Abstract

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 behavior 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.
International Workshop on Variational Problems in Materials Science
Trieste, ITALY
SEP 06-10, 2004
Politecnico Milano, Dipartimento Matematica Francesco Brioschi
Rilevanza internazionale
Settore MAT/05 - Analisi Matematica
English
homogenization; masonry-like materials; unilateral conditions; Gamma-convergence; functions of bounded deformation
12
Intervento a convegno
Braides, A., & Piat, V. (2006). Another brick in the wall. In Variational Problems in Materials Science (pp.13-24). BASEL : BIRKHAUSER VERLAG AG.
Braides, A; Piat, V
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/38021
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