IJM  >> Vol. 3 No. 4 (December 2014)

    Penalty Function Finite Element Analysis for Nearly Incompressible Elasticity Problems in Three Dimensions

  • 全文下载: PDF(532KB) HTML    PP.43-54   DOI: 10.12677/IJM.2014.34005  
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肖映雄,周 磊:湘潭大学土木工程与力学学院,湘潭

近不可压缩问题闭锁现象罚函数有限元网格质量减缩积分Nearly Incompressible Problems Locking Phenomenon Penalty Function Finite Element Mesh Quality Reduced Integration



The locking phenomenon will appear when the commonly used finite elements are applied to the solution of nearly incompressible problems in three dimensions. It is necessary to use some special methods. The penalty function conforming finite element method is an effective method to overcome this locking phenomenon since it is simple for the realization of the resulting program and easy to determine the penalty number and it also does not change the functional stationary value properties. In this paper, the computing format of penalty function finite element method is carefully derived, the conditions for success of the resulting method is analyzed and the effective-ness and robustness of this method are finally verified by some numerical experiments for nearly incompressible elasticity problems. The quality of the mesh used in three-dimensional finite ele-ment analysis has a great effect on the accuracy and computational efficiency. If the isotropic grids can be used in the practical calculations, the method will have better convergence.

肖映雄, 周磊. 三维近不可压缩弹性问题的罚函数有限元分析[J]. 力学研究, 2014, 3(4): 43-54. http://dx.doi.org/10.12677/IJM.2014.34005


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