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A novel twice-interpolation finite element method for solid mechanics problems

Zheng, C. ; Wu, S. C. ; Tang, X. H. ; Zhang, J. H.

Acta mechanica Sinica, 2010-05, Vol.26 (2), p.265-278 [Periódico revisado por pares]

Berlin/Heidelberg: Springer-Verlag

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Título:
A novel twice-interpolation finite element method for solid mechanics problems
Autor: Zheng, C. ; Wu, S. C. ; Tang, X. H. ; Zhang, J. H.
Assuntos: Classical and Continuum Physics ; Computational Intelligence ; Construction ; Convergence ; Engineering ; Engineering Fluid Dynamics ; Finite element method ; Galerkin ; Interpolation ; Mathematical analysis ; Mathematical models ; Research Paper ; Solid mechanics ; Theoretical and Applied Mechanics ; 固体力学 ; 数值评价 ; 有限元方法 ; 有限元法 ; 有限元程序 ; 节点应力
É parte de: Acta mechanica Sinica, 2010-05, Vol.26 (2), p.265-278
Notas: Twice-interpolation finite element method·Stress smoothing · Volumetric locking · Mesh distortion
O34
O241.82
11-2063/O3
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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Descrição: Formulation and numerical evaluation of a novel twice-interpolation finite element method （TFEM） is presented for solid mechanics problems. In this method, the trial function for Galerkin weak form is constructed through two stages of consecutive interpolation. The primary interpolation follows exactly the same procedure of standard FEM and is further reproduced according to both nodal values and averaged nodal gradients obtained from primary interpolation. The trial functions thus constructed have continuous nodal gradients and contain higher order polynomial without increasing total freedoms. Several benchmark examples and a real dam problem are used to examine the TFEM in terms of accuracy and convergence. Compared with standard FEM, TFEM can achieve significantly better accuracy and higher convergence rate, and the continuous nodal stress can be obtained without any smoothing operation. It is also found that TFEM is insensitive to the quality of the elemental mesh. In addition, the present TFEM can treat the incompressible material without any modification.
Editor: Berlin/Heidelberg: Springer-Verlag
Idioma: Inglês

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A novel twice-interpolation finite element method for solid mechanics problems

Zheng, C. ; Wu, S. C. ; Tang, X. H. ; Zhang, J. H.

Berlin/Heidelberg: Springer-Verlag

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