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.
Reissner’s New Mixed Variational Principle Applied to Laminated Cylindrical Shells
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Bhaskar, K., and Varadan, T. K. (February 1, 1992). "Reissner’s New Mixed Variational Principle Applied to Laminated Cylindrical Shells." ASME. J. Pressure Vessel Technol. February 1992; 114(1): 115–119. https://doi.org/10.1115/1.2929001
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