Homogenisation with application to layered materials

Authors:
M. Patrício;R. Mattheij;G. de With
Affiliations:
Department of Mathematics and Computer Science, Technische Universiteit, Eindhoven, Netherlands;Department of Mathematics and Computer Science, Technische Universiteit, Eindhoven, Netherlands;Department of Chemical Engineering and Chemistry, Technische Universiteit, Eindhoven, Netherlands
Venue:
Mathematics and Computers in Simulation
Year:
2008

Citing 2
Cited 0

A multiscale finite element method for elliptic problems in composite materials and porous media

Journal of Computational Physics
Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients

Mathematics of Computation

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Abstract

In this paper we are concerned with the elliptic PDEs with highly oscillating coefficients which model the behaviour of composite linear elastic materials. Analytical expressions for the effective coefficients are obtained for the case of layered materials using the theory of homogenisation. Some properties of the homogenised materials are analysed. An efficient algorithm for the numerical determination of the effective coefficients is proposed.