Thermal Stresses in Thermoelastic Half-Space Without Energy Dissipation Subjected to Rotation and Magnetic Field

Authors

S. M. Abo-Dahab, Department of Mathematics, Faculty of Science, Taif University, Taif 888, Saudi Arabia.\\ Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt.Follow
A. M. Abd-Alla, Department of Mathematics, Faculty of Science, Taif University, Taif 888, Saudi Arabia.\\ Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt.Follow
E. E. Mahmoud, Department of Mathematics, Faculty of Science, Taif University, Taif 888, Saudi Arabia.\\ Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt.Follow

Author Country (or Countries)

Egypt.

Abstract

The present paper is concerned with the investigation of disturbances in a homogeneous, isotropic and thermoelastic rotating medium withmagnetic fieldand a time-dependent heat source effect due to thermomechanical source. The formulation is without energy dissipation subjected to thermomechanical source. The normal mode analysisand eigenvalue approach techniques are applied to solve the problem. The expressions of displacement, mean value of normal stress, dilatation and temperature are obtained in the domain. Numerical simulated results are depicted graphically to show the effect of magnetic field and rotation on resulting quantities. The results indicate that the effect of magnetic field, rotation, frequency, wave number and time are very pronounced.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110611

Recommended Citation

M. Abo-Dahab, S.; M. Abd-Alla, A.; and E. Mahmoud, E. (2017) "Thermal Stresses in Thermoelastic Half-Space Without Energy Dissipation Subjected to Rotation and Magnetic Field," Applied Mathematics & Information Sciences: Vol. 11: Iss. 6, Article 11.
DOI: http://dx.doi.org/10.18576/amis/110611
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss6/11