Nonlinear analysis of laminated axisymmetric spherical shells

Abstract The governing differential equations for the problem of laminated axisymmetric spherical shells undergoing large deformations are formulated using the principle of virtual work. An analytical solution of the governing equations based on the Chebyshev-Galerkin spectral method is investigated. The efficacy and applicability of the solution procedure is discovered using numerical results. Parametric studies are conducted to bring out the effect of factors like orthotropy ratio, R/h ratio, shear deformation and opening angle on the large deflection behaviour of laminated orthotropic spherical shells and interesting observations are made. The numerical results should prove helpful in testing the nonlinear composite shell finite elements.

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