Completeness requirements of shape functions for higher order finite elements

Structural Engineering and Mechanics

Volumn 10, Issue 2, 2000, Pages 93-110

  Rajendran, S ^a   Liew, K M ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; FUNCTIONS;

COMPLETENESS REQUIREMENTS; GEOMETRIC DISTORTION; HIGHER ORDER ELEMENTS; SHAPE FUNCTIONS;

STRUCTURAL ANALYSIS;

EID: 0033716321     PISSN: 12254568     EISSN: None     Source Type: Journal    
DOI: 10.12989/sem.2000.10.2.093     Document Type: Article

References (8)

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3. Lee, N.-S. and Bathe, K.-J. (1993), "Effects of element distortions on the performance of isoparametric elements", Int. J. Num. Meth. Eng., 36, 3553-3576.
4. Prathap, G. (1993) The Finite Element Method in Structural Mechanics, Kluwer Academic Press, Dordrecht.
5. Taylor, E.L., Beresford, P.J. and Wilson, E.L. (1976), "A non-conforming element for stress analysis", Int. J. Num. Meth. Eng., 10, 1211-1220.
6. Taylor, R.L., Simo, J.C., Zienkiewicz, O.C. and Chan, A.C.H. (1986), "The patch test - A condition for assessing FEM convergence", Int. J. Num. Meth. Eng., 22, 39-62.
7. Wilson, E.L., Taylor, R.L., Doherty, W. and Ghaboussi, J. (1973), "Incompatible displacement models", Numerical and Computer Methods in Structural Mechanics, Eds. S.J. Fenves, N. Perrone, J. Robinson, and W.C. Schnobrich, Academic Press, Inc., New York.
8. Zienkiewicz, O.C. (1977), The Finite Element Method, 3rd Ed., McGraw-Hill, New York.