Reissner’s New Mixed Variational Principle Applied to Laminated Cylindrical Shells

[+] Author and Article Information
K. Bhaskar, T. K. Varadan

Department of Aerospace Engineering, Indian Institute of Technology, Madras, India

J. Pressure Vessel Technol 114(1), 115-119 (Feb 01, 1992) (5 pages) doi:10.1115/1.2929001 History: Received May 02, 1990; Revised August 09, 1991; Online June 17, 2008


Reissner’s new mixed variational theorem, which allows independent interpolation, through the thickness, of the three transverse stresses besides that of the three displacements, is applied here to derive a higher-order theory of laminated orthotropic cylindrical shells. The accuracy of the theory is verified by comparison with three-dimensional elasticity solutions. It is shown that Reissner’s principle does not directly lead to accurate transverse shear stress predictions, but requires the use of the equilibrium equations of three-dimensional elasticity as is common in the conventional displacement approach.

Copyright © 1992 by The American Society of Mechanical Engineers
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