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
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: May 1, 2006