A High-Order Theory of Plate Deformation—Part 1: Homogeneous Plates

[+] Author and Article Information
K. H. Lo

Department of Mechanical Engineering and Materials Research Laboratory, Washington University, St. Louis, Mo.

R. M. Christensen, E. M. Wu

Fiber Composites and Mechanics, Lawrence Livermore Laboratory, University of California, Livermore, Calif.

J. Appl. Mech 44(4), 663-668 (Dec 01, 1977) (6 pages) doi:10.1115/1.3424154 History: Received February 01, 1977; Revised April 01, 1977; Online July 12, 2010


A theory of plate deformation is derived which accounts for the effects of transverse shear deformation, transverse normal strain, and a nonlinear distribution of the in-plane displacements with respect to the thickness coordinate. The theory is compared with lower-order plate theories through application to a particular problem involving a plate acted upon by a sinusoidal surface pressure. Comparison is also made with the exact elasticity solution of this problem. It is found that when the ratio of the characteristic length of the load pattern to the plate thickness is of the order of unity, lower-order theories are inadequate and the present high-order theory is required to give meaningful results. The present work treats homogeneous plates while Part 2 involves laminated plates.

Copyright © 1977 by ASME
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