A variant of the theory of thick multilayer cylindrical shells

Equations are derived which describe the stress field in thick orthotropic cylindrical shells of a material whose mechanical properties vary across the thickness. An iterative computation procedure is set up which takes into account transverse strains and where the initial approximation corresponds to the hypothesis of straight normals. The convergence of this method is estimated for the case of a thick orthotropic cylinder under axisymmetric strain, and the results are compared with the exact solution.