Thermal behavior of a finite hollow cylinder in context of fractional thermoelasticity with convection boundary conditions

Abstract

This paper presents an axisymmetric problem of two-dimensional finite hollow cylinder with the fractional order derivative of order 0<α≤2 occupying the space D={(x,y,z)∈R3:a≤r≤b,−h≤z≤h}. Convection boundary conditions are applied on the curved surface of cylinder and heat sources are generated as a linear function of temperature. The analytical solution for temperature, displacement, and thermal stresses are obtained applying finite Marchi-Zgrablich, finite Marchi-Fasulo, and Laplace transform technique. Some numerical results of temperature change and stress distribution are illustrated graphically and are shown in figures with the help of Mathematica software.