Abstract

After constructing some elasticity models, a set of close three-dimensional linear analytical solutions, taking account of all of the normal stresses, shear stresses and satisfying all the equations of equilibrium, the mid-plane clamped boundary conditions and interfacial continuity conditions through-thickness, are presented for axially symmetrical homogeneous isotropic circular plates, laminates and sandwich plates under uniform transverse load by using the variable-separating method and formulating a set of displacement functions. Reasonability of the present solutions is demonstrated comparing with FEM analysis, “pb-2 Ritz” theory analysis and experimental results of sandwich plates.

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