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The Finite Cell Method for Geometry-Based Structural Simulation [Elektronische Ressource] / Zhengxiong Yang. Gutachter: Ernst Rank ; Alexander Düster ; Jamshid Parvizian. Betreuer: Ernst Rank

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¨ ¨Technische Universitat MunchenLehrstuhl fu¨r Computation in EngineeringThe Finite Cell Method for Geometry-Based Structural SimulationZhengxiong YangVollst¨andiger Abdruck der von der Fakult¨at fu¨r Bauingenieur- und Vermessungswesen derTechnischen Universit¨at Mu¨nchen zur Erlangung des akademischen Grades einesDoktor-Ingenieursgenehmigten Dissertation.Vorsitzender: Univ.-Prof. Dr.-Ing. habil. M. ManhartPru¨fer der Dissertation:1. Univ.-Prof. Dr.rer.nat. E. Rank2. Univ.-Prof. Dr.-Ing. habil. A. Du¨ster,Technische Universit¨at Hamburg-Harburg3. Prof. Dr. J. Parvizian,Isfahan University of Technology, Isfahan, IranDie Dissertation wurde am 16.03.2011 bei der Technischen Universit¨at Mu¨nchen eingereichtunddurchdieFakult¨atfu¨rBauingenieur-undVermessungswesen am22.06.2011angenommen.AbstractThe finite cell method is a fictitious domain method combined with p-version high-order poly-nomial basis functions. This method enables the utilization of easily generated structuredgrids to replace regular FE meshes. With trivial effort in mesh generation the major compu-tational cost lies in the computation of stiffness matrices. This thesis presents a CT-deriveddata specific integration scheme which accelerates the stiffness matrices computation by pre-computation with respect to material constants and voxel dimensions. With this schemeapplied to solve three-dimensional isotropic linear elastic problems, a remarkable reductionin computational time is achieved.

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Published 01 January 2011
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Language English
Document size 3 MB