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Abstract

Analytical solutions for cross-plied composite shells under transverse end load are presented. Based on a Saint-Venant's semi-inverse method and the theory of cylindrically orthotropic elasticity, two connected partial differential equations are developed using Lekhnitskii's stress functions. Solutions are obtained using separation of variables and solved the governing equations sequentially. Special cases of a single transversely isotropic (00 ply) shell, p = 2 and/or t = 3 occurring in a layer are also briefly derived for stress and displacement response. To illustrate the fundamental nature of the problem, detailed distributions of radial strain and stress for two layups, [90/012 and [0/90]2, with two different midradius to thickness ratios are discussed.

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International Journal of Solids and Structures, 14(1):187-195.

Cross-Plied Cylindrical Composite Shells under Transverse End Load

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