Equations of Elastic Deformation of Laminated Composite Shallow Shells

[+] Author and Article Information
A. W. Leissa

Department of Engineering Mechanics, The Ohio State University, Columbus, OH 43210

M. S. Qatu

Dresser Industries, Jeffery Division, Columbus, 0H 43201

J. Appl. Mech 58(1), 181-188 (Mar 01, 1991) (8 pages) doi:10.1115/1.2897146 History: Received September 26, 1989; Revised January 25, 1990; Online March 31, 2008


Shallow shells of laminated composite materials are being increasingly used in structural applications. A complete and consistent theory is needed to deal with elastic deformation problems (i.e., static deflections and stresses, free and forced vibrations). The present work develops equations of motion, which may be solved either exactly or by an approximate method (e.g., Galerkin, finite differences) and energy functionals which may be used with the Ritz or finite element methods to obtain approximate solutions. The equations are developed in terms of arbitrarily-oriented (i.e., nonprincipal) shell coordinates, including twist as well as radii of curvature. The equations account for arbitrary layer thicknesses, fiber orientations, and stacking sequences. Shear deformation and rotary inertia effects are neglected.

Copyright © 1991 by The American Society of Mechanical Engineers
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