The Optimal Version of Reissner’s Theory

[+] Author and Article Information
P. Ladevèze, F. Pécastaings

Laboratoire de Mécanique et Technologie, E.N.S. de CACHAN/C.N.R.S./ Université Paris 6, 94230 Cachan, France

J. Appl. Mech 55(2), 413-418 (Jun 01, 1988) (6 pages) doi:10.1115/1.3173691 History: Received March 24, 1987; Revised October 24, 1987; Online July 21, 2009


An improved version of Reissner’s theory, called Optimal version, is proposed in the case of homogeneous and isotropic plates with any edge boundary conditions. It differs from the classical theory by the value of the transverse shear deformability factor and by the boundary conditions. Three-dimensional displacement and stress distributions expressed in terms of the Optimal version are given for any point of the plate, whether within the plate itself or in the neighborhood of its edge. It is proved that these distributions are second-order approximations of the exact three-dimensional solution—relative error O(h2 /L2 ). Consequently, Optimal version is a second-order theory; therefore it is better than Kirchhoff-Love’s theory.

Copyright © 1988 by ASME
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