Journal of Computational Applied Mechanics

Nonlocal Magneto-Thermoelastic Interactions in a Thin Slim Strip Due to a Moving Heat Source Via a Refined Lord–Shulman Theory

Document Type : Research Paper

Authors

1 Department of Mathematics, Jamoum University College, Umm Al-Qura University, Makkah 21421, Saudi Arabia

2 Department of Management Information Systems, College of Business and Economics, Qassim University, Buraidah 51452, P.O. Box 6666, Saudi Arabia

3 Department of Mathematics, Faculty of Science, King Khalid University, Abha, 21589, Saudi Arabia

4 Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

5 Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt

Abstract

In this article, a new nonlocal model of the heat equation based on Eringen’s nonlocal elasticity and Lord–Shulman one relaxation time is introduced. The thermoelastic communications in an isotropic, homogeneous thin slim strip under a traveling heat source and placed in a magnetic field are studied. The Laplace transform technique is adopted to get the transform domain solution in a closed form. The outcomes of all variables are determined in the Laplace domain and then they are transferred to the physical domain by employing its fast inversion technique. The impacts of the nonlocal index and applied magnetic field in addition to the speed of the heat source parameter on the quantities are discussed in detail. The current analysis is believed to be beneficial for the theoretical formulation of thermoelastic analyses at the nanoscale, and the outcomes are useful to the practical design of nanosized configurations in thermal environments.

Keywords

Main Subjects

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Journal of Computational Applied Mechanics
Volume 56, Issue 2
April 2025
Pages 345-363
  • Receive Date: 26 February 2025
  • Revise Date: 18 March 2025
  • Accept Date: 30 March 2025