A Sixth-Order Plate Theory—Derivation and Error Estimates

[+] Author and Article Information
Z. Rychter

Institute of Architecture, Technical University of Bialystok, 15-875 Bialystok, Poland

J. Appl. Mech 54(2), 275-279 (Jun 01, 1987) (5 pages) doi:10.1115/1.3173007 History: Received September 26, 1986; Online July 21, 2009


Two consistent variants of a sixth-order theory for elastic plate bending are developed together with corresponding three-dimensional statically and kinematically admissible solutions. The relative mean square error of these solutions as compared with exact elasticity solutions is found to be proportional to the thickness squared in analogy with previous estimates for Reissner’s theory, but the contribution to the error governed by transverse shear deformability is reduced and shown to be of the order of the thickness cubed, this contribution being decisive in composite plates.

Copyright © 1987 by ASME
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