Geomechanics and Engineering A

Volume 21, Number 1, 2020, pages 1-9

DOI: 10.12989/gae.2020.21.1.001

Effect of the rotation on the thermal stress wave propagation in non-homogeneous viscoelastic body

K.S. Al-Basyouni, E. Ghandourah, H.M. Mostafa and Ali Algarni

Abstract

In this article, an analytical solution for the effect of the rotation on thermo-viscoelastic non-homogeneous medium with a spherical cavity subjected to periodic loading is studied. The distribution of displacements, temperature, redial stress, and hoop stress in non-homogeneous medium, in the context of generalized thermo-viscoelasticity using the GL theory, is discussed and obtained. The results are displayed graphically to illustrate the effect of the rotation. Comparisons with the previous work in the absence of rotation and viscosity are made.

Key Words

rotation; relaxation times; viscoelasticity; non-homogeneous; thermoelasticity

Address

K.S. Al-Basyouni: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia E. Ghandourah: Department of Nuclear Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia H.M. Mostafa: Department Physics, Faculty of Science, Al -Azhar University Assiut Branch, Assiut, Egypt Ali Algarni: Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia