Two-dimensional Problem of Moisture Elasticity of Inhomogeneous Spherical Array with Cavity

The numerical-analytical solution of the axisymmetric problem of moisture-elasticity for hollow spherical soil massive is provided. We consider the steady-state water transfer. Inhomogeneity of the array due to the dependence of the deformation modulus on the soil moisture. Stress state of the array caused by forced deformations and uneven pressure rebuff of the soil. The method for solving non-axisymmetric problems with radial inhomogeneity in polar coordinates is described. Diagrams on the stress fields in homogeneous and inhomogeneous formulations of the problem are provided. It describes a method of calculating radial inhomogeneous axisymmetric problem of theory of elasticity for thick-walled spherical shell.