Optimisation topologique de forme et raffinement de maillage

Abstract : We present the problem of topological optimization with fictitious materials. This approach leads to a formulation of blocking materials that is treated numerically by finite elements as a problem of non-linear elasticity. The computing time and the quality of the solution depend strongly on the mesh, because the topology is unknown and the problem is highly non-linear. For these reasons we use a local automatic mesh refinement method that allows to quickly determine an optimal topology on a coarse grid and then to refine the solution according to strong geometrical or numerical non-linearities. We test initially some refinement criteria related to the physics of the problem, such as the thickness or the thickness gradient, and then a criterion resulting from a posteriori error analysis developed by R. Verfürth.
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Article dans une revue
Revue Européenne des Eléments Finis, Hermès, 2004, 13 (8), pp.881-897. 〈10.3166/reef.13.881-897〉
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https://hal-univ-tln.archives-ouvertes.fr/hal-00979097
Contributeur : Frederic Golay <>
Soumis le : mardi 15 avril 2014 - 11:56:38
Dernière modification le : mardi 19 juin 2018 - 15:50:01

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Frederic Golay. Optimisation topologique de forme et raffinement de maillage. Revue Européenne des Eléments Finis, Hermès, 2004, 13 (8), pp.881-897. 〈10.3166/reef.13.881-897〉. 〈hal-00979097〉

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