Axis-Symmetric Problem of Elasticity Theory for Radial-Nonhomogeneous Transversal-Isotropic Sphere of Small Thickness with Mixed Boundary Conditions on the Side Surface

Abstract

The 3-dimensional strained-deformed state of radial-nonhomogeneous transversal-isotropic spheric shell is investigated by the method of asymptotic integration of elasticity theory equations. There built nonhomogeneous and homogeneous solutions. There are obtained asymptotic decompositions of homogeneous solutions and there is done the analysis of strained-deformed states, the corresponding homogeneous solutions.

Keywords

• nonhomogeneous solutions
• homogeneous solutions
• boundary layer
• boundary effect