How to determine composite material properties using numerical homogenization

Research output: Contribution to journalJournal articleResearchpeer-review

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Abstract

Numerical homogenization is an efficient way to determine effective macroscopic properties, such as the elasticity tensor, of a periodic composite material. In this paper an educational description of the method is provided based on a short, self-contained Matlab implementation. It is shown how the basic code, which computes the effective elasticity tensor of a two material composite, where one material could be void, is easily extended to include more materials. Furthermore, extensions to homogenization of conductivity, thermal expansion, and fluid permeability are described in detail. The unit cell of the periodic material can take the shape of a square, rectangle, or parallelogram, allowing for all kinds of 2D periodicities. © 2013 Elsevier B.V. All rights reserved.
Original languageEnglish
JournalComputational Materials Science
Volume83
Pages (from-to)488-495
ISSN0927-0256
DOIs
Publication statusPublished - 2014

Keywords

  • Numerical homogenization
  • Microstructure
  • MicroFE
  • Matlab

Cite this

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title = "How to determine composite material properties using numerical homogenization",
abstract = "Numerical homogenization is an efficient way to determine effective macroscopic properties, such as the elasticity tensor, of a periodic composite material. In this paper an educational description of the method is provided based on a short, self-contained Matlab implementation. It is shown how the basic code, which computes the effective elasticity tensor of a two material composite, where one material could be void, is easily extended to include more materials. Furthermore, extensions to homogenization of conductivity, thermal expansion, and fluid permeability are described in detail. The unit cell of the periodic material can take the shape of a square, rectangle, or parallelogram, allowing for all kinds of 2D periodicities. {\circledC} 2013 Elsevier B.V. All rights reserved.",
keywords = "Numerical homogenization, Microstructure, MicroFE, Matlab",
author = "Erik Andreassen and Andreasen, {Casper Schousboe}",
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language = "English",
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How to determine composite material properties using numerical homogenization. / Andreassen, Erik; Andreasen, Casper Schousboe.

In: Computational Materials Science, Vol. 83, 2014, p. 488-495.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - How to determine composite material properties using numerical homogenization

AU - Andreassen, Erik

AU - Andreasen, Casper Schousboe

PY - 2014

Y1 - 2014

N2 - Numerical homogenization is an efficient way to determine effective macroscopic properties, such as the elasticity tensor, of a periodic composite material. In this paper an educational description of the method is provided based on a short, self-contained Matlab implementation. It is shown how the basic code, which computes the effective elasticity tensor of a two material composite, where one material could be void, is easily extended to include more materials. Furthermore, extensions to homogenization of conductivity, thermal expansion, and fluid permeability are described in detail. The unit cell of the periodic material can take the shape of a square, rectangle, or parallelogram, allowing for all kinds of 2D periodicities. © 2013 Elsevier B.V. All rights reserved.

AB - Numerical homogenization is an efficient way to determine effective macroscopic properties, such as the elasticity tensor, of a periodic composite material. In this paper an educational description of the method is provided based on a short, self-contained Matlab implementation. It is shown how the basic code, which computes the effective elasticity tensor of a two material composite, where one material could be void, is easily extended to include more materials. Furthermore, extensions to homogenization of conductivity, thermal expansion, and fluid permeability are described in detail. The unit cell of the periodic material can take the shape of a square, rectangle, or parallelogram, allowing for all kinds of 2D periodicities. © 2013 Elsevier B.V. All rights reserved.

KW - Numerical homogenization

KW - Microstructure

KW - MicroFE

KW - Matlab

U2 - 10.1016/j.commatsci.2013.09.006

DO - 10.1016/j.commatsci.2013.09.006

M3 - Journal article

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EP - 495

JO - Computational Materials Science

JF - Computational Materials Science

SN - 0927-0256

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