期刊
COMPTES RENDUS MATHEMATIQUE
卷 349, 期 17-18, 页码 999-1003出版社
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.crma.2011.08.012
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资金
- DEFI at INRIA Saclay Ile-de-France
- Chair Mathematical modelling and numerical simulation, F-FADS - Ecole polytechnique - INRIA
We propose a method for structural optimization that relies on two alternative descriptions of shapes: on the one hand, they are exactly meshed so that mechanical evaluations by finite elements are accurate; on the other hand, we resort to a level-set characterization to describe their deformation along the shape gradient. The key ingredient is a meshing algorithm for building a mesh, suitable for numerical computations, out of a piecewise linear level-set function on an unstructured mesh. Therefore, our approach is at the same time a geometric optimization method (since shapes are exactly meshed) and a topology optimization method (since the topology of successive shapes can change thanks to the power of the level-set method). (C) 2011 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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