基于三角形网格的虚多边形有限元法

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Abstract In order to construct a shape function in the virtual polygonal area and improve the calculation accuracy of constant strain triangular element，a virtual polygonal finite element method(VPFEM) is proposed considering triangular meshes. Numerical examples with constant strain triangular element and VPFEM for typical elasticity and engineering problems are presented. The results show that the VPFEM can achieve a better accuracy than the constant strain triangular element，without increasing the total number of degrees of freedom of the calculation model；and the imposed boundary conditions are as simple as traditional finite element method.

Key words： numerical analysis virtual node virtual polygonal finite element method(VPFEM) finite element method(FEM) elasticity

Received: 11 January 2013

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http://www.rockmech.org/EN/Y2013/V32/I6/1214

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