Exact solutions of elasticity theories for static analysis of doubly curved antisymmetric angle-ply composite shells
M. C. Ray
Abstract
Three-dimensional exact solutions of the theories of elasticity pertaining to the static analysis of doubly curved (DC) antisymmetric angle-ply composite shells of rectangular planform have been derived. The method of exact solutions can be used in a straightforward manner to find the numerical values of exact solutions for any fiber orientation angle in the layers of the antisymmetric angle-ply shells. The exact solutions of displacements and stresses in the spherical antisymmetric angle-ply shells for some modes of deformations in which the magnitude of the fiber orientation angle is 45° cannot be used for other fiber orientation angles and vice versa. Verification of a simple finite element model of the shells with the exact solutions derived here reveals that the derived exact solutions may serve as the benchmark solutions for DC antisymmetric angle-ply composite shells of rectangular planform.