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.
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March 1991
Research Papers
Equations of Elastic Deformation of Laminated Composite Shallow Shells
A. W. Leissa,
A. W. Leissa
Department of Engineering Mechanics, The Ohio State University, Columbus, OH 43210
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M. S. Qatu
M. S. Qatu
Dresser Industries, Jeffery Division, Columbus, 0H 43201
Search for other works by this author on:
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. Mar 1991, 58(1): 181-188 (8 pages)
Published Online: March 1, 1991
Article history
Received:
September 26, 1989
Revised:
January 25, 1990
Online:
March 31, 2008
Citation
Leissa, A. W., and Qatu, M. S. (March 1, 1991). "Equations of Elastic Deformation of Laminated Composite Shallow Shells." ASME. J. Appl. Mech. March 1991; 58(1): 181–188. https://doi.org/10.1115/1.2897146
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