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Journal of Zhejiang University SCIENCE A 2000 Vol.1 No.3 P.284-290

http://doi.org/10.1631/jzus.2000.0284


AN IMPROVED AXISYMMETRIC WILSON NONCONFORMING FINITE ELEMENT METHOD FOR STRESS ANALYSIS


Author(s):  ZHANG Wu, DESAI, C.S., YONG, Y.K.

Affiliation(s):  Dept. of Civil Engineering, Zhejiang University, Hangzhou,310027, China; more

Corresponding email(s): 

Key Words:  nonconforming finite element, axisymmetric Wilson element, patch test condition, convergence, spurious shear stress


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ZHANG Wu, DESAI, C.S., YONG, Y.K.,. AN IMPROVED AXISYMMETRIC WILSON NONCONFORMING FINITE ELEMENT METHOD FOR STRESS ANALYSIS[J]. Journal of Zhejiang University Science A, 2000, 1(3): 284-290.

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A1 - ZHANG Wu
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Abstract: 
The Wilson and Taylor elements Q6 and QM6, the representative nonconforming finite element method(FEM), have been successfully developed and implemented in the finite element code SAP for improved displacement and stress analysis. This paper formulates an improved convergent nonconforming axisymmetric element AQM6 over the corresponding axisymmetric Q6 and QM6 elements. The proposed modified nonconforming axisymmetric element AQM6 satisfies the engineering patch test condition for convergence, and also meets the condition for suppression of spurious shear stress by using a special remedying procedure. The numerical test results are in agreement with the element performance.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1]Cook,R.D., 1981. Concepts and Applications of Finite Element Analysis, 2nd edition, John Wiley, New York.

[2]Desai,C.S. and Zhang Wu, 1998. Computational aspects of disturbed state constitutive models. Computer Methods in Appl.Mech.Eng., 151: 361-376.

[3]Desai,C.S., Basaran,C. and Zhang Wu, 1997. Mesh dependence in the disturbed state concept constitutive model. Int. J. Numer. Methods in Eng., 40: 3059-3083.

[4]Taylor,R.L., Beresford,P.J. and Wilson,E.L., 1976. A nonconforming element for stress analysis. Int.J.Number.Metods in Eng.,10:1211-1219.

[5]Taylor,R.L., Simo,J.C., Zienkiewicz,O.C. et al.,1986. The patch test-A condition for assessing FEM convergence. Int. J. Numer. Methods in Eng., 22:39-62.

[6]Wilson,E.L., Taylor,R.L., Doherty,W.P. et al., 1973. Incompatible displacement models. In: Numerical and Computer Methods in Struct. Mechanics, Ed. Feneves, S.J. et al., Academic Press, New York, p.43-57.

[7]Wu, C.C., Di,S.L. and Pian,T.H.H., 1987. Optimizing formulation of axisymmetric hybrid stress elements. Acta Aeronautica et Astronautica Sinica, 8-9A:439-448.(in Chinese)

[8]Zhang Wu, 1991. Further study of the identity of incompatible displacement element and generalized hybrid element. Acta Mechanica Sinica, 23(5): 564-570.(in Chinese with English abstract)

[9]Zhang Wu, 1993. On the necessary and sufficient conditions for stability of various finite elements. Chinese Science Bulletin, 38: 1922-1928.

[10]Zhang Wu and Chen, D.P., 1997. Path test conditions and some multivariable finite element formulations. Int. J. Numer. Methods in Eng., 40: 3015-3032.

[11]Zhang,Wu and Desai,C.S., 2000. Computational constitutive modeling of highly nonlinear deformations in the structures with joints and interfaces and applications to IC chips based on SMT and rock collapse analysis. Accepted by the 6th Int. Symp. on Struct. Eng. for Young Experts. Aug. Kunming,China.

[12]Zhang,Wu and Yong,Y.K., 2000. Adaptive finite analysis of high-frequency SAW waves in piezoelectric materials with complex geometries, Accepted by the 6th Int. Symp. on Struct. Eng. for Young Experts. Aug. Kunming,China.

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