Abstract
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.
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Received: 17 May 2002 / Accepted: 24 October 2002
This work was supported by FCT through the grant PRAXIS XII/BD/18137/98 and by ICCTI/CNRS through the project Métodos numéricos e analíticos em optimização de forma 2002.
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Barbarosie, C. Shape optimization of periodic structures. Computational Mechanics 30, 235–246 (2003). https://doi.org/10.1007/s00466-002-0382-3
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DOI: https://doi.org/10.1007/s00466-002-0382-3