Thermoelasticity of a thin hollow disk with variable heat transfer coefficients

Abstract

An approach to the solution of the stationary heat conduction problem for a thin hollow disk with
coordinate-dependent heat transfer coefficients and ambient temperature is proposed. This
approach consists in reducing of the original problem to the system of integral equations with
Volterra- and Fredholm-type integral operators of the second order. The analytical expressions
for thermoelastic displacements of the hollow disk for different mechanical boundary conditions
on its cylindrical edges are obtained.