Open Access

ABSTRACT

Solutions for Periodically Distributed Materials with Localised Imperfections

M. Patrício¹, R. Mattheij¹, G. de With²

1 Department of Mathematics and Computer Science, Technische Universiteit Eindhoven
2 Department of Chemical Engineering and Chemistry, Technische Universiteit Eindhoven

The International Conference on Computational & Experimental Engineering and Sciences 2008, 6(1), 19-24. https://doi.org/10.3970/icces.2008.006.019

Abstract

The behaviour of composite materials with periodically distributed constituents is considered. Mathematically, this can be described by a boundary value problem with highly oscillatory coefficient functions. An algorithm is proposed to handle the case when the underlying periodicity is locally disturbed. This procedure is constructed using fundamental concepts from homogenisation theory and domain decomposition techniques. Applications to linearly elastic materials are considered.

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