Homogenisation with application to layered materials

M. Patrício; R.M.M. Mattheij; G. With, de

doi:10.1016/j.matcom.2007.12.001

Homogenisation with application to layered materials

M. Patrício, R.M.M. Mattheij, G. With, de

Research output: Contribution to journal › Article › Academic › peer-review

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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.

Original language	English
Pages (from-to)	288-305
Journal	Mathematics and Computers in Simulation
Volume	79
Issue number	3
DOIs	https://doi.org/10.1016/j.matcom.2007.12.001
Publication status	Published - 2008

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10.1016/j.matcom.2007.12.001

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title = "Homogenisation with application to layered materials",

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.",

author = "M. Patr{\'i}cio and R.M.M. Mattheij and {With, de}, G.",

year = "2008",

doi = "10.1016/j.matcom.2007.12.001",

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AU - Mattheij, R.M.M.

AU - With, de, G.

PY - 2008

Y1 - 2008

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AB - 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.

U2 - 10.1016/j.matcom.2007.12.001

DO - 10.1016/j.matcom.2007.12.001

M3 - Article

SN - 0378-4754

VL - 79

SP - 288

EP - 305

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

IS - 3

ER -

Homogenisation with application to layered materials

Abstract

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