Hexahedral elements using PN functions - Applications to beams

Computers and Structures

Volumn 60, Issue 2, 1996, Pages 305-313

  Venkatesh, D N ^a   Shrinivasa, U ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; DIFFERENTIAL EQUATIONS; FUNCTIONS; INTERPOLATION; STIFFNESS MATRIX; STRESSES;

EULER BERNOULLI BEAMS; HEXAHEDRAL ELEMENTS; PAPCOVITCH-NEUBER FUNCTIONS;

STRUCTURAL ANALYSIS;

EID: 0030193805     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7949(95)00336-3     Document Type: Article

References (23)

1. D. N. Venkatesh and U. Shrinivasa, Solid finite element through three decades. Sādhanā 19, 271-287 (1994).
2. T. Y. Yang, Finite Element Structural Analysis. Prentice-Hall, Englewood Cliffs, N.J. (1986).
3. E. L. Wilson, Incomplete displacement models. In Numerical and Computer Methods in Structural Mechanics (Edited by S. J. Fenves et al.). Academic Press, New York (1973).
4. R. L. Taylor, P. J. Beresford and E. L. Wilson, A non-conforming element for stress analysis. Int. J. numer. Meth. Engng 10, 1211-1220 (1976).
5. S. Chandra and G. Prathap, A field-consistent formulation for the eight-node solid finite element. Comput. Struct. 33, 345-355 (1989).
6. U. Andelfinger and E. Ramm, EAS-elements for two-dimensional, three-dimensional, plate and shell structures and their equivalence to HR elements. Int. J. numer. Meth. Engng 1311-1337 (1993).
7. W. E. Bachrach, An efficient formulation of hexahedral element with high accuracy in bending and incompress-ibility. Comput. Struct. 26, 453-467 (1987).
8. W. Chen and Y. K. Cheung, A new approach to the hybrid element method. Int. J. numer. Meth. Engng 24, 1697-1709 (1987).
9. W. Chen and Y. K. Cheung, Three-dimensional 8-node and 20-node refined hybrid isoparametric elements. Int. J. numer. Methods Engng 35, 1871-1889 (1992).
10. Y. K. Cheung and W. Chen, Isoparametric hybrid hexahedral elements for three-dimensional stress analysis. Int. J. numer. Meth. Engng 26, 677-693 (1988).
11. E. F. Punch and S. N. Atluri, Application of isoparametric three-dimensional hybrid stress finite elements with least order fields. Comput. Struct. 19, 406-430 (1983).
12. K. Y. Sze and A. Ghali, Hybrid hexahedral element for solids, plates, shells and beams by selective scaling. Int. J. numer. Meth. Engng 36, 1519-1540 (1993).
13. K. Y. Sze, C. L. Chow and W. Chen, A rational formulation of isoparametric hybrid stress elements for three-dimensional analysis. Finite Elements Anal. Des. 7, 61-72 (1990).
14. R. H. MacNeal and R. L. Harder. A proposed set of problems to test finite element accuracy. Finite Elements Anal. Des. 1, 13-20 (1985).
15. D. N. Venkatesh and U. Shrinivasa, On the equivalence of solutions to the Navier equation and the fields generated by Papcovitch-Neuber functions. Report 93VAR01, Department of Mechanical Engineering, I, I, Sc., Bangalore (1993).
16. D. N. Venkatesh and U. Shrinivasa, Generation of an eight node brick element using Papcovitch-Neuber functions. Comput. Struct. (in press).
17. S. P. Timoshenko and J. N. Goodier, Theory of Elasticity. McGraw-Hill, New York (1951).
18. D. N. Venkatesh and U. Shrinivasa, Hexahedral elements using PN functions - applications to plates. Report 93VAR05, Department of Mechanical Engineering I.I.Sc., Bangalore (1993).
19. D. N. Venkatesh and U. Shrinivasa, Towards a rational approach to solid finite elements: preliminary studies. Report 92VAR01, Department of Mechanical Engineering, I.I.Sc., Bangalore (1992).
20. J. Robinson, New fem user project - single element test for aspect ratio sensitivity of solids (part 1). Finite Element News February, 26-32 (1986).
21. Z. Friedmann and J. B. Kosmatka, Exact stiffness matrix of a nonuniform beam - 1. Extension, torsion and bending of a Bernoulli-Euler beam. Comput. Struct. 42, 671-682 (1992).
22. Y. F. Dong and J. A. T. de Freitas, An efficient eight-node incompatible solid element with stress interpolation. Comput. Struct. 44, 773-781 (1992).
23. S. H. Nguyen, An accurate finite element formulation for linear elastic torsion calculations. Comput. Struct. 42, 707-711 (1992).