The Thermoelastic Dynamic Response of a Rod Due to a Moving Heat Source under the Fractional-Order Thermoelasticity Theory

Author:

Liu Fengjun1,Shi Pengjie1,Guo Ying1ORCID

Affiliation:

1. School of Civil Engineering, Henan University of Science and Technology, Luoyang 471023, China

Abstract

In this paper, the thermoelastic behavior of a rod made of an isotropic material under the action of a moving heat source was investigated using a new theory of thermoelasticity related to fractional-order time with two relaxation times. A mathematical model of the one-dimensional thermoelasticity problem was established based on the new thermoelasticity theory. We considered the symmetry of the material, and the fractional-order thermoelasticity control equation was given. Subsequently, the control equations were solved and analyzed using the Laplace transform and its inverse transform. This study examined the effects of fractional-order parameters, time, two thermal relaxation times, and the speed of movement of the heat source on the displacement, temperature, and stress distribution patterns in the rod.

Funder

Scientific and Technological Project in Henan Province

Natural Science Foundation of Tianjin

Natural Science Foundation of Henan Province

State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University

2022 Heluo Young Talent Lifting Project

Publisher

MDPI AG

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