摘要：The article discusses the solution to the axisymmetric problem of determining the stresses and displacements arising from the joint action on the asymmetric load (soil resistance) array and a centrally symmetric temperature field. The case of continuous one-dimensional inhomogeneity is considered, when the deformation characteristics of a rock mass with a spherical cavity obtained by explosion are the continuous functions of one of the coordinates - the radius. The solution of the original system of equations for the displacement components is sought in the form of expansions in Fourier series in Legendre polynomials. Using the method of variablesseparation, it is possible to reduce the problem to a system of two ordinary differential equations with variable coefficients, which is solved numerically. The stress state calculation of homogeneous and inhomogeneous massifs surrounding a spherical cavity has been carried out. A comparative analysis of the results obtained has been performed.
