| Selective Smoothed Finite Element Method |
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| 作者姓名： | T. T. Nauven G. R. Liu K. Y. Dai K. Y. Lam |
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| 作者单位： | Center for Advanced Computations in Engineering Science Department of Mechanical Engineering，National University of Singapore，9 Engineering Drive 1，Singapore 117576 Singapore，School of Mechanical and Aerospace Engineering，Nanyang Technological University，50 Nanyang Avenue，Singapore 639798，Singapore |
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| 摘 要： | The paper examines three selective schemes for the smoothed finite element method (SFEM) which was formulated by incorporating a cell-wise strain smoothing operation into the standard compatible finite element method (FEM). These selective SFEM schemes were formulated based on three selective integration FEM schemes with similar properties found between the number of smoothing cells in the SFEM and the number of Gaussian integration points in the FEM. Both scheme 1 and scheme 2 are free of nearly incompressible locking, but scheme 2 is more general and gives better results than scheme 1. In addition, scheme 2 can be applied to anisotropic and nonlinear situations, while scheme 1 can only be applied to isotropic and linear situations. Scheme 3 is free of shear locking. This scheme can be applied to plate and shell problems. Results of the numerical study show that the selective SFEM schemes give more accurate results than the FEM schemes.
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| 关 键 词： | 有限元法 平滑有限元法 应变 选择性 |
| 收稿时间： | 15 March 2007 |
| 修稿时间： | 2007-03-15 |
Selective Smoothed Finite Element Method |
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| T. T. Nauven G. R. Liu K. Y. Dai K. Y. Lam.Selective Smoothed Finite Element Method[J].Tsinghua Science and Technology,2007,12(5):497-508. |
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| Authors: | T T Nguyen G R Liu K Y Dai K Y Lam |
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| Abstract: | The paper examines three selective schemes for the smoothed finite element method (SFEM) which was formulated by incorporating a cell-wise strain smoothing operation into the standard compatible finite element method (FEM). These selective SFEM schemes were formulated based on three selective integration FEM schemes with similar properties found between the number of smoothing cells in the SFEM and the number of Gaussian integration points in the FEM. Both scheme 1 and scheme 2 are free of nearly incompressible locking, but scheme 2 is more general and gives better results than scheme 1. In addition, scheme 2 can be applied to anisotropic and nonlinear situations, while scheme 1 can only be applied to isotropic and linear situations. Scheme 3 is free of shear locking. This scheme can be applied to plate and shell problems. Results of the numerical study show that the selective SFEM schemes give more accurate results than the FEM schemes. |
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| Keywords: | finite element method (FEM) smoothed finite element method (SFEM) strain smoothing smoothing cell selective |
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