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
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