On deformation of transversally isotropic two-layered spherical shell

Abstract

Solution of the given stress-stain state problem of the thin elastic transversally isotropic twolayered spherical shell under internal and external pressure is built. Each layer is considered as transversally isotropic spherical shell with different mechanical properties. The case of stiff contact between the layers is supposed. The unknown pressure of layers interaction, which is defined by coupling condition in displacements, is introduced. The theory of solid mechanics in terms of spherical coordinates is used for determination of stress-stain state of the shell. It is shown that tangential stresses have discontinuity on the coupling face. The discontinuity measure is obtained. Displacement and stress patterns through-the-thickness of the layers for certain elastic properties and pressure are shown in graphics. The shell layers thickness change for different range of values for Youngs modulus is obtained.