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A direct method to derive the boundary conditions of the homogenization equation for symmetric cells

✍ Scribed by Hassani, Behrooz

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 583 KB
Volume: 12
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(199603)12:3<185::aid-cnm970>3.0.co;2-2

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✦ Synopsis

The numerical solution of homogenization equations by the finite element (FE) method is explained briefly. The issue of extracting boundary conditions from the periodicity assumption is addressed and a direct method utilizing symmetry is presented. Using this method, the computation of the elements of the constitutive matrix of a composite material is reduced to a very conventional boundary value problem with known forces and boundary conditions which can be carried out with any FE code. Two examples are presented.

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