Axisymmetric static thermoelastic state of a smoothly fixed finite cylinder layered along the axis

Abstract

By using constructed Green functions of the problems of heat conduction and thermoelasticity, we obtain the solution of the axisymmetric static problem of thermoelasticity for a finite cylinder layered along the axis with a smoothly fixed thermally insulated cylindrical surface under the action of heat sources and in the presence of convective heat exchange from end faces for a wide range of variation in the thickness of the layers. In this case, we use generalized functions, finite Hankel integral transformation, and Green functions of the corresponding problems for one ordinary differential equation or a system of ordinary differential equations. We present results of numerical investigations for a three-layer cylinder.