Abstract
The static equations of the first-approximation theory of thin shells of revolution suffering small strains but arbitrarily large rotations are reduced, to within errors inherent in the assumption of a quadratic strain-energy density without transverse shear strains, to a coupled pair of equations for the meridional angle of rotation and a stress function. These equations are simpler than both Reissner's equations as well as a simpler version of Reissner's equations proposed by Koiter whose equations, like ours, are virtually free of Poisson's ratio.
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Communicated by S.N. Atluri, September 14, 1986
This research was supported by the National Science Foundation under grant MSM-8412334
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Simmonds, J.G., Libai, A. A simplified version of Reissner's non-linear equations for a first-approximation theory of shells of revolution. Computational Mechanics 2, 99–103 (1987). https://doi.org/10.1007/BF00282132
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DOI: https://doi.org/10.1007/BF00282132