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Journal Articles Proceedings of the Royal Society of Edinburgh: Section A, Mathematics Year : 2006

3D-2D analysis of a thin film with periodic microstructure

Abstract

The purpose of this article is to study the behavior of a heterogeneous thin film whose microstructure oscillates on a scale that is comparable to that of the thickness of the domain. The argument is based on a 3D-2D dimensional reduction through a $\Gamma$-convergence analysis, techniques of two-scale convergence and a decoupling procedure between the oscillating variable and the in-plane variable.

Dates and versions

hal-00265688 , version 1 (19-03-2008)

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Jean-François Babadjian, Margarida Baia. 3D-2D analysis of a thin film with periodic microstructure. Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2006, 136 (2), pp.223-243. ⟨hal-00265688⟩
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