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On numerical integration for fictitious domain methods with application to structural analysis

le 14 février 2019
à 13h30

Alexander Düster, Professeur à l'Université de technologie de Hambourg (Allemagne), interviendra lors d'un séminaire.

In recent years fictitious domain methods have attracted attention since they do not require the generation of body-conforming finite element meshes. Therefore, fictitious domain methods are suited for problems with complex geometries. The finite cell method (FCM) is a combination of the fictitious domain approach with high-order finite elements. Thanks to the use of Cartesian meshes, the pre-processing, i.e. mesh generation is significantly simplified. However, due to the fact that the applied meshes do not conform to the geometry of the problem, special care has to be taken with respect to the numerical integration of the weak form, the local refinement of the approximation as well as the treatment of boundary conditions. The talk is intended to give an overview over the finite cell method and its application to structural analysis. Special emphasis will be placed on the numerical integration of broken cells. To this end, methods such as composed integration based on spacetrees, moment fitting as well as equivalent Legendre polynomials will be discussed. The applications to be presented will range from linear static and dynamic analysis to nonlinear problems, including foamed materials undergoing large elastoplastic deformations.

Type :
Séminaires - conférences
Lieu(x) :
Campus de Cachan
Bâtiment Léonard de Vinci
Amphi E-Media

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