Title : ( A direct method to derive the boundary conditions of the homogenization equations for symmetric cells )
Authors: Behrooz Hassani ,
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Abstract
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.
Keywords
homogenization; boundary conditions; periodiciry; finite element
@article{paperid:1034452,
author = {Hassani, Behrooz},
title = {A direct method to derive the boundary conditions of the homogenization equations for symmetric cells},
journal = {Commun. Numer. Meth. Engng.},
year = {1996},
volume = {12},
number = {3},
month = {February},
issn = {1069-8299},
pages = {185--196},
numpages = {11},
keywords = {homogenization; boundary conditions; periodiciry; finite element},
}
%0 Journal Article
%T A direct method to derive the boundary conditions of the homogenization equations for symmetric cells
%A Hassani, Behrooz
%J Commun. Numer. Meth. Engng.
%@ 1069-8299
%D 1996
