A face-based smoothed finite element method (FS-FEM) for 3D linear and geometrically non-linear solid mechanics problems using 4-node tetrahedral elements

被引:315
作者
Nguyen-Thoi, T. [1 ]
Liu, G. R. [1 ,2 ]
Lam, K. Y. [3 ]
Zhang, G. Y. [1 ,2 ]
机构
[1] Natl Univ Singapore, Ctr Adv Computat Engn Sci, Dept Mech Engn, Singapore 117576, Singapore
[2] Singapore MIT Alliance, Singapore 117576, Singapore
[3] Nanyang Technol Univ, Sch Mech & Aerosp Engn, Singapore 639798, Singapore
关键词
numerical methods; meshfree methods; tetrahedral elements; smoothed technique; finite element method (FEM); smoothed finite element method (SFEM); face-based smoothed finite element method (FS-FEM); POINT INTERPOLATION METHOD; NODAL INTEGRATION; MESHFREE;
D O I
10.1002/nme.2491
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper presents a novel face-based smoothed finite element method (FS-FEM) to improve the accuracy of the finite element method (FEM) for three-dimensional (3D) problems. The FS-FEM uses 4-node tetrahedral elements that can be generated automatically for complicated domains. In the FS-FEM, the system stiffness matrix is computed using strains smoothed over the smoothing domains associated with the faces of the tetrahedral elements. The results demonstrated that the FS-FEM is significantly more accurate than the FEM using tetrahedral elements for both linear and geometrically non-linear solid mechanics problems. In addition, a novel domain-based selective scheme is proposed leading to a combined FS/NS-FEM model that is immune from volumetric locking and hence works well for nearly incompressible materials. The implementation of the FS-FEM is straightforward and no penalty parameters or additional degrees of freedom are used. The computational efficiency of the FS-FEM is found better than that of the FEM. Copyright (C) 2008 John Wiley & Sons, Ltd.
引用
收藏
页码:324 / 353
页数:30
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