Two-dimensional temperature oscillations and elastic thermocyclic stresses in sphere and space with spherical cavity under spatially inhomogeneous heat transfer conditions

Abstract

Abstract The problem of steady-state temperature oscillations and thermocyclic stresses in regions bounded from inside or from outside by spherical surface is considered. To find them, the uncoupled quasistatic cyclic thermoelasticity problem under axisymmetric heat transfer conditions has been solved. The given definition corresponds to a solution that depends on two spatial variables. The thermal conductivity problem is solved by method of separation of variables for three types of boundary condition. Solution of the elastic displacement problem is obtained by using thermoelastic potential of displacements and Papkovich-Neuber solution for isothermal deformation.