Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 197, Issue 45-48, Pages 3768-3782Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2008.02.036
Keywords
finite cell method; fictitious domain method; embedding domain method; solid mechanics; high-order methods; p-FEM
Funding
- Alexander von Humboldt Foundation
- Excellence Initiative of the German federal and state governments
- TUM International Graduate School of Science and Engineering
- SIEMENS AG
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This article presents a generalization of the recently proposed finite cell method to three-dimensional problems of linear elasticity. The finite cell method combines ideas from embedding or fictitious domain methods with the p-version of the finite element method. Besides supporting a fast, simple generation of meshes it also provides high convergence rates. Mesh generation for a boundary representation of solids and for voxel-based data obtained from CT scans is addressed in detail. In addition, the implementation of non-homogeneous Neumann boundary conditions and the computation of cell matrices based on a composed integration is presented. The performance of the proposed method is demonstrated by three numerical examples, including the elastostatic computation of a human bone biopsy. (C) 2008 Elsevier B.V. All rights reserved.
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