Published Paper
Inserted: 16 dec 2001
Journal: Adv. Math. Sci. Appl.
Volume: 11
Number: 1
Pages: 203-225
Year: 2001
Abstract:
In this paper we study the asymptotic behaviour via $\Gamma$-convergence of some integral functionals $F_{\epsilon}$ which model some multi-dimensional structures and depend explicitly on the linearized strain tensor. The functionals $F_{\epsilon}$ are defined in particular classes of functions with bounded deformation while the limit problem is set in the usual framework of Sobolev spaces or $BD(\Omega)$. We also construct an example of such functionals showing that under some special assumptions we can have non local effects.
Keywords: Homogenization, $\Gamma$-convergence, Korn's inequality, Functions with bounded deformation
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