Open Access

ARTICLE

Solutions for periodically distributed materials with localised imperfections

M. Patrício¹, R. Mattheij², G. de With³
1 Technical University of Eindhoven, Department of Mathematics and Computer Science.
2 Technical University of Eindhoven, Department of Mathematics and Computer Science.
3 Technical University of Eindhoven, Department of Chemical Engineering and Chemistry.

Computer Modeling in Engineering & Sciences 2008, 38(2), 89-118. https://doi.org/10.3970/cmes.2008.038.089

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 layered materials are considered.

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Keywords

Homogenisation, composites, domain decomposition.

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