Assistant Professor of Structural Mechanics.
The hybrid-stress model for thin plates
Article first published online: 21 JUN 2005
Copyright © 1980 John Wiley & Sons, Ltd
International Journal for Numerical Methods in Engineering
Volume 15, Issue 8, pages 1239–1260, August 1980
How to Cite
Spilker, R. L. and Munir, N. I. (1980), The hybrid-stress model for thin plates. Int. J. Numer. Meth. Engng., 15: 1239–1260. doi: 10.1002/nme.1620150810
- Issue published online: 21 JUN 2005
- Article first published online: 21 JUN 2005
- Manuscript Revised: 7 NOV 1979
- Manuscript Received: 12 APR 1979
The assumed-stress hybrid finite element model is examined for application to the bending analysis of thin plates. A hybrid-stress functional is defined by using a Mindlin-type displacement assumption and including all components of stress. The Euler equations and matrix formulation corresponding to this functional are examined to assess the effects of plate thickness, and a rationale is presented for the selection of stress assumptions so that locking is avoided in the thin plate limit. To illustrate these concepts, a series of linear displacement quadrilateral elements are derived and tested, and the best of these elements is identified for suggested implementation in general-purpose computer programs.