Solutions for periodically distributed materials with localised imperfections

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

Solutions for periodically distributed materials with localised imperfections

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

Scientific Computing

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

The behaviour of compositematerials 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.

Original language	English
Title of host publication	Proceedings ICCES'08 (Honolulu HI, USA, March 16-22, 2008)
Place of Publication	Norgross GA
Publisher	Tech Science Press
Pages	19-24
Volume	6
Publication status	Published - 2008

Cite this

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title = "Solutions for periodically distributed materials with localised imperfections",

abstract = "The behaviour of compositematerials 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.",

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

year = "2008",

language = "English",

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booktitle = "Proceedings ICCES'08 (Honolulu HI, USA, March 16-22, 2008)",

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AU - Patrício, M.

AU - Mattheij, R.M.M.

AU - With, de, G.

PY - 2008

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N2 - The behaviour of compositematerials 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.

AB - The behaviour of compositematerials 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.

M3 - Conference contribution

VL - 6

SP - 19

EP - 24

BT - Proceedings ICCES'08 (Honolulu HI, USA, March 16-22, 2008)

PB - Tech Science Press

CY - Norgross GA

ER -

Solutions for periodically distributed materials with localised imperfections

Abstract

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