THERMAL STRESSES IN AN ELASTIC SPHERE CONTAINING CONICAL CUTS

摘要

An axisymmetric thermoelastic problem, for a sphere with conical cuts in the poles under the action of a quasi-stationary temperature, field depending on the meridional angle and on the sphere radius is solved by a method, based on the Castigliano variational principle. Orthonormalized systems of polynomials are used as the coordinate functions. Results of numerical calculations of the stress state of a spherical solid are presented.