Homogenisation with application to layered materials
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.
Year of publication: |
2008
|
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Authors: | Patrício, M. ; Mattheij, R. ; de With, G. |
Published in: |
Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 79.2008, 3, p. 288-305
|
Publisher: |
Elsevier |
Subject: | Homogenisation | Layered materials | Composites | Finite elements | Effective coefficients |
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