Hybrid Finite Elements
Publication: Journal of Structural Engineering
Volume 112, Issue 11
Abstract
The hybrid stress method of finite elements as advocated by Pian and others is reviewed. Whereas variational methods are the most frequently used vehicle for formulating hybrid finite elements, the present communication approaches these techniques via the principle of virtual work. The desire to lend physical interpretation to the various matrices resulting from the hybrid techniques provides the motivation to view these techniques from the standpoint of virtual work. In addition, a hybrid strain technique is proposed. It has the apparent advantage over the hybrid stress technique in that discontinuous stress fields are admitted. Finally, simple examples are presented to demonstrate, in detail, some of the more common hybrid techniques.
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References
1.
Chieslar, J., (1985). “Hybrid finite elements for solids and shells,” thesis presented to the University of Calgary, Calgary, Canada in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
2.
Chieslar, J., and Ghali, A. (1986). “A hybrid strain technique for finite element analysis of plates and shells,” Computers and Structures, 24 pp. (in print).
3.
Ghali, A., and Neville, A. M. (1979). Structural analysis, a unified classical and matrix approach, 2nd ed., Chapman and Hall, London, U.K. and New York, N.Y.
4.
Pian, T. H. H., and Sumihara, K. (1984). “Rational approach for assumed stress finite elements,” International Journal for Numerical Methods in Engineering, Vol. 20, 1685–1695.
5.
Pian, T. H. H. (1964). “Derivation of Element Stiffness Matrices by Assumed Stress Distributions,” American Institute of Aeronautics and Astronautics Journal, 2(7), 1333–1336.
6.
Washizu, K. (1975). Variational methods in elasticity and plasticity, 2nd ed., Pergamon Press, New York, N.Y.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 112 • Issue 11 • November 1986
Pages: 2478 - 2493
Copyright
Copyright © 1986 ASCE.
History
Published online: Nov 1, 1986
Published in print: Nov 1986
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