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

Authors: Babadjian, Jean-François; Baía, Margarida

Source: Proceedings Section A: Mathematics - Royal Society of Edinburgh, Volume 136, Number 2, May 2006 , pp. 223-243(21)

Publisher: Royal Society of Edinburgh

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Abstract:

In this article we study the behaviour 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 three-dimensional–two-dimensional reduction through a Γ-convergence analysis, techniques of two-scale convergence and a decoupling procedure between the oscillating variable and the in-plane variable.

Document Type: Research article

Publication date: 2006-05-01