A new formulation of isoparametric finite elements and the relationship between hybrid stress element and incompatible element

International Journal for Numerical Methods in Engineering

Volumn 40, Issue 1, 1997, Pages 15-27

  Jiao, Zhao Ping ^a   Pian, Theodore H H ^b   Yong, Sheng ^c  

^a South China Construction University   (China)

^b USA   (United States)

^c UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

Finite elements; Formulation; Hybrid stress; Incompatible; Isoparametric

Indexed keywords

MATHEMATICAL MODELS; STRAIN RATE; STRESS CONCENTRATION;

CONSTANT STRAINS; HIGHER ORDER STRAINS; HYBRID STRESS ELEMENTS; INCOMPATIBLE ELEMENTS;

FINITE ELEMENT METHOD;

EID: 0030785186     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19970115)40:1<15::AID-NME46>3.0.CO;2-K     Document Type: Article

References (6)

1. T. H. H. Pian, 'On the equivalence of non-conforming element and hybrid stress element', Appl. Math. Mech. (English edition), 3, 773-776 (1982).
2. E. L. Wilson, R. L. Taylor, W. P. Doherty and J. Ghaboussi, 'Incompatible displacement models', in S. J. Fenves et al. (eds.), Numerical and Computer Methods in Structural Mechanics, Academic Press, New York, 1973, pp. 43-57.
3. T. H. H. Pian, 'Derivation of element stiffness matrices by assumed stress distributions', AIAA J., 2, 1333-1336 (1964).
4. O. C. Zienkiewicz and R. L. Taylor, The Finite Element Methods, 4th edn. McGraw-Hill, London, 1989.
5. C. C. Wu, M. G. Huang and T. H. H. Pian, 'Consistency condition and convergence criteria of incompatible elements: General formulation of incompatible functions and its application', Comput. Struct., 27, 639-664 (1987).
6. Z. P. Jiao, 'A method for the simplification of the matrix H of hybrid stress element', Comput. Struct. Mech. Appl., 8, 214-216 (1991) (in Chinese).