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The Quarterly Journal of Mechanics and Applied Mathematics 1966 19(2):141-149; doi:10.1093/qjmam/19.2.141
© 1966 by Oxford University Press
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A MOMENT THEORY FOR THIN, SPHERICAL ELASTIC SHELLS UNDER AXI-SYMMETRIC LOADING

R. L. WALLIS

( Department of Applied Mathematics, University of Hull )

This paper is concerned with the solution of the equilibrium equations for elastic shells with constant thickness 2h. The essential feature is the replacement of functions f({alpha}1, {alpha}2, {alpha}3) by their nth mean moments, (1/2h) across the thickness of the shell. To simplify the algebra and presentation of results, the theory is developed for spherical shells with zero Poisson's ratio, but this does not affect the method of approach in the general case when Poisson's ratio is non-zero.


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