Generalized Magneto- Thermo - Viscoelastic Problem in an Infinite Circular Cylinder In two Models Subjected to Rotation and Initial Stress

Authors

A. M. Alharbi, Math. Dept., Faculty of Science, Taif University, Saudi ArabiaFollow
F. S. Bayones, Math. Dept., Faculty of Science, Taif University, Saudi ArabiaFollow

Author Country (or Countries)

Saudi Arabia

Abstract

This paper is devoted to study the effect of rotating, magnetic field and initial stress on the propagation of Rayleigh waves in a homogeneous isotropic, generalized thermo-viscoelastic body. The Hankel transform and Lame’s potential have been applied in the basic equations of generalized thermoelasticity and analytical solution is presented. The frequency equation for thermoelastic body is obtained when the boundaries are stress free and is examined numerically. Numerical results for the frequency equation are given and illustrated graphically. Comparison was made with the results obtained in the presence and absence of the rotation, magnetic field and initial stress. The results indicate that the effect of rotation, magnetic field and initial stress are very pronounced.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/120518

Recommended Citation

M. Alharbi, A. and S. Bayones, F. (2018) "Generalized Magneto- Thermo - Viscoelastic Problem in an Infinite Circular Cylinder In two Models Subjected to Rotation and Initial Stress," Applied Mathematics & Information Sciences: Vol. 12: Iss. 5, Article 18.
DOI: http://dx.doi.org/10.18576/amis/120518
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss5/18