Open Access

ARTICLE

Propagation of a Thermoelastic Wave in a Half-Space of a Homogeneous Isotropic Material Subjected to the Effect of Rotation and Initial Stress

Fatima Bayones¹, Abdelmooty Abd-Alla^{2, *}, Raghad Alfatta³, Hoda Al-Nefaie³

1 Department of Mathematics, Faculty of Science, Taif University, Taif, 888, Saudi Arabia.
2 Department of Mathematics, Faculty of Science, Sohag University, Sohag, 243, Egypt.
3 General Department of Education in Taif, Taif University, Taif, 888, Saudi Arabia.

* Corresponding Author: Abdelmooty Abd-Alla. Email: .

Computers, Materials & Continua 2020, 62(2), 551-567. https://doi.org/10.32604/cmc.2020.08420

Abstract

The propagation of thermoelastic waves in a homogeneous, isotropic elastic semi-infinite space is subjected to rotation and initial stress, which is at temperature T₀ - initially, and whose boundary surface is subjected to heat source and load moving with finite velocity. Temperature and stress distribution occurring due to heating or cooling and have been determined using certain boundary conditions. Numerical results have been given and illustrated graphically in each case considered. Comparison is made with the results predicted by the theory of thermoelasticity in the absence of rotation and initial stress. The results indicate that the effect of the rotation and initial stress is very pronounced.

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Citations