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Shape optimization of periodic structures

delete2003-02-01
delete29
PRE
AI
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Cristian Barbarosie
DOI:10.1007/s00466-002-0382-3delete
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Abstract

Abstract

En 中文
This paper describes a numerical approach to the optimization of effective properties of periodic perforations in an infinite body, in the frameworks of heat conduction and of linear elasticity. We implement a special finite element mesh in order to deal with the periodic nature of the problem. We compute the gradient of the functional to be minimized. We describe the process of mesh deformation and mesh regeneration. We give several numerical examples, some of them having practical relevance.
Keywords:
inverse homogenization
shape optimization
periodic structures
effective coefficients
finite element
mesh regeneration

Journal

Computational Mechanics cover
Computational Mechanics
IF:
3.8
Papers:
3.2K
Citations:
9.0K

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