Journal of Computational Applied Mechanics

Thermoelastic plane strain solutions to rotating cylinders due to a refined fractional-order theory

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

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

3 Financial Mathematics and Actuarial Science (FMAS)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Abstract

This article develops a fractional-order Lord-Shulman (LS) generalized thermoelastic model to analyze a rotating hollow cylinder under plane strain. The cylinder, with traction-free surfaces, is subjected to non-uniform ramp-type heating on its outer boundary. Governing equations incorporating non-Fourier heat conduction are solved using the Laplace transform technique with numerical inversion. Results for temperature, displacement, stress, and dilatation are computed and graphically presented. The analysis demonstrates that both the fractional-order and ramp-time parameters significantly influence the thermoelastic response. Comparisons with classical Fourier-based theory highlight the model's accuracy in capturing wave propagation phenomena, providing critical insights for the design of structures experiencing sudden thermal loads.

Keywords

Main Subjects

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Journal of Computational Applied Mechanics
Volume 57, Issue 1
January 2026
Pages 11-26
  • Receive Date: 13 September 2025
  • Revise Date: 17 September 2025
  • Accept Date: 18 September 2025