Solutions for Periodically Distributed Materials with Localised Imperfections
M. Patrício1, R. Mattheij1, G. de With2
Department of Mathematics and Computer Science, Technische Universiteit Eindhoven
Department of Chemical Engineering and Chemistry, Technische Universiteit Eindhoven
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.
Cite This Article
Patrício, M., Mattheij, R., With, G. D. (2008). Solutions for Periodically Distributed Materials with Localised Imperfections. The International Conference on Computational & Experimental Engineering and Sciences, 6(1), 19–24. https://doi.org/10.3970/icces.2008.006.019
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