African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 243

Full Length Research Paper

An internal heat source in temperature rate dependent thermoelastic medium subjected to the effect of rotation and gravity field

F. S. Bayones
  • F. S. Bayones
  • Mathematics Department, Faculty of Science, Taif University, Saudi Arabia.
  • Google Scholar


  •  Received: 18 September 2019
  •  Accepted: 03 January 2020
  •  Published: 29 February 2020

Abstract

The present work is devoted to study the effect of rotation and gravity field in a homogeneous, isotropic elastic semi- infinite, which is at initial temperature, and subjected to heat source and load moving with finite velocity. In view of calculating general problems, a numerical solution technique is to be used. For this purpose, the normal mode analysis method is used. The results for the displacement, stress components and temperature distribution are illustrated graphically with some comparisons. The numerical results are given and presented graphically for two different theories, L-S theory and G-L theory. Influence of rotation and gravity on temperature, displacement and stresses components is observed through a numerical example.

Key words: Internal heat source, isotropic, thermoelasticity, two thermal relaxation times, gravity, rotation.