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Session Chair: Gerhard Starke, Universität Duisburg-Essen
Location:Auditorium Wolfsburg
Presentations
The finite cell method for problems of solid mechanics
Alexander Düster
Hamburg University of Technology, Germany
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 solid mechanics. The examples to be presented will range from linear static and dynamic analysis to nonlinear problems including large deformations. We will also discuss the applicability of the FCM to image-based models stemming from CT-scans of micro-structured materials.
