The finite cell method for three-dimensional problems of solid mechanics
The finite cell method for three-dimensional problems of solid mechanics
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DOI：
10.1016/j.cma.2008.02.036
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发表时间：
2008-01-01
影响因子：
7.2
通讯作者：
Rank, E.
中科院分区：
文献类型：
--
作者：
Duester, A.;Parvizian, J.;Rank, E.
本文将最近提出的有限单元法推广到三维线弹性问题。有限单元法将嵌入或虚域法的思想与有限元法的p-版本相结合。除了支持快速，简单的网格生成，它还提供了高收敛率。网格生成的边界表示的固体和基于体素的数据从CT扫描中获得的详细解决。此外，给出了非齐次诺依曼边界条件的实现和基于组合积分的单元矩阵的计算。通过三个数值算例验证了该方法的有效性，其中包括人体骨活检的弹性静力计算。(C) 2008 Elsevier B.V.版权所有
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.