Abstract
An effective solution of various boundary-value problems of thermoelasticity for a hollow infinite cone and an infinite conical panel, when conditions of symmetry or antisymmetry are specified on the plane boundaries of the panel, is constructed in a spherical system of coordinates by the method of separation of variables. A solution of the boundary-contact problems of thermoelasticity is constructed in the case when such bodies are multilayer bodies. The contact surfaces are conical surfaces. A steady temperature field and surface perturbations act on the body. Moreover, certain boundary-value problems of the theory of elasticity are solved by this method for bodies bounded by coordinate surfaces of a spherical system of coordinates, when inhomogeneous boundary conditions are specified on the conical surfaces of the body, and conditions of symmetry or antisymmetry are specified on the plane boundaries, while special homogeneous boundary conditions are specified on the spherical surfaces.
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