A Small Strain and Moderate Rotation Theory of Elastic Anisotropic Plates

[+] Author and Article Information
J. N. Reddy

Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061

J. Appl. Mech 54(3), 623-626 (Sep 01, 1987) (4 pages) doi:10.1115/1.3173079 History: Received September 12, 1986; Revised December 24, 1986; Online July 21, 2009


A general nonlinear theory for the dynamics of elastic anisotropic plates that accounts for transverse shear strains and moderate rotations is presented. The theory contains, as special cases, the von Kármán classical plate theory, the first-order shear deformation theory (i.e., the Reissner-Mindlin plate theory) and the third-order shear deformation plate theory. The theory is characterized, even for isotropic plates, by strong coupling between various equations of motion.

Copyright © 1987 by ASME
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