Thermoelasticity of a thin hollow disk with variable heat transfer coefficients

  • Богдан Хапко Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine
Keywords: temperature characteristics, heat transfer coefficients, integral equations with Volterra- and Fredholm-type integral operators, sag

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.

Published
2019-02-13
How to Cite
Хапко, Б. (2019). Thermoelasticity of a thin hollow disk with variable heat transfer coefficients. PHYSICO-MATHEMATICAL MODELLING AND INFORMATIONAL TECHNOLOGIES, (21), 233-240. Retrieved from http://fmmit.lviv.ua/index.php/fmmit/article/view/109