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| A VIRTUAL POLYGONAL FINITE ELEMENT METHOD BASED ON TRIANGULAR MESH |
| YANG Yongtao1，ZHENG Hong1，ZHANG Jianhai2，3 |
(1. State Key Laboratory of Geomechanics and Geotechnical Engineering，Institute of Rock and Soil Mechanics，Chinese Academy
of Sciences，Wuhan，Hubei 430071，China；2. State Key Laboratory of Hydraulics and Mountain River Engineering，Sichuan University，Chengdu，Sichuan 610065，China；3. College of Water Resources and Hydropower，Sichuan University，
Chengdu，Sichuan 610065，China) |
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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.
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Received: 11 January 2013
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2013, Vol. 32 
