Effect of Thermal Stress and Magnetic Field on Propagation of Transverse Wave in an Anisotropic Incompressible Dissipative Initially Stressed Plate

Authors

M. M. Selim, Department of Mathematics, Al-Aflaj College of Science and Humanitarian Studies, Prince sattam Bin Abdulaziz University, Al-Aflaj 710-11912 Saudi Arabia\\ Department of Mathematics, Suez Faculty of Science, Suez University, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

In the present paper, we extend our previous work of the thermal effects on propagation of transverse waves in anisotropic incompressible dissipative pre-stressed plate, to investigate the effect of both thermal stress and magnetic field on transverse waves propagation in the medium. Biot incremental deformation theory has been used. The governing equations of transverse wave propagation are derived considering the magnetic forces applied on the plate through Maxwell equation. The influences of changes in anisotropy-type, thermal stress, initial stresses and magnetic field are investigated. The velocities of propagation as well as damping are discussed. Analytical analysis and Numerical computations reveal that the velocities of the transverse waves depend upon the anisotropy, thermal stress, initial stresses as well as magnetic field.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110124

Recommended Citation

M. Selim, M. (2017) "Effect of Thermal Stress and Magnetic Field on Propagation of Transverse Wave in an Anisotropic Incompressible Dissipative Initially Stressed Plate," Applied Mathematics & Information Sciences: Vol. 11: Iss. 1, Article 24.
DOI: http://dx.doi.org/10.18576/amis/110124
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss1/24