BIBLIOS

Document type
Journal articles

Document subtype
Full paper

Title
Shape optimization of periodic structures

Participants in the publication
C. Barbarosie (Author)
Dep. Matemática
CMAF
CMAFcIO

Summary
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.


Institution
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA

Where published
Computational Mechanics

Publication Identifiers

Publisher
Springer Science and Business Media LLC



Document Identifiers
DOI - https://doi.org/10.1007/s00466-002-0382-3
URL - http://dx.doi.org/10.1007/s00466-002-0382-3

Keywords
Inverse homogenization Shape optimization Periodic structures Effective coefficients Finite element Mesh regeneration inverse homogenization shape optimization periodic structures effective coefficients finite element mesh regeneration