The finite cell method for three-dimensional problems of solid mechanics

被引：344

作者：

Duester, A. ^{[1
]}

Parvizian, J. ^{[2
]}

Yang, Z. ^{[1
]}

Rank, E. ^{[1
]}

机构：

[1] Tech Univ Munich, Fac Civil Engn & Geodesy, D-80333 Munich, Germany

[2] Isfahan Univ Technol, Esfahan 8415683111, Iran

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2008年 / 197卷 / 45-48期

关键词：

finite cell method; fictitious domain method; embedding domain method; solid mechanics; high-order methods; p-FEM;

D O I：

10.1016/j.cma.2008.02.036

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：3768 / 3782

页数：15

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