Effect of Magnetic Field and Initial Stress on Radial Vibrations in Rotating Orthotropic Homogeneous Hollow Sphere

2014 ◽  
Vol 11 (6) ◽  
pp. 1524-1529
Author(s):  
S. R. Mahmoud ◽  
Abdelouahed Tounsi ◽  
M. Marin ◽  
S. I. Ali ◽  
A. T. Ali
Keyword(s):  
Magnetic Field ◽  
Initial Stress ◽  
Hollow Sphere ◽  
Radial Vibrations

On Problem of the Radial Vibrations in Non-Homogeneous Orthotropic Hollow Sphere Subject to the Initial Stress and Rotation

2014 ◽  
Vol 11 (6) ◽  
pp. 1486-1491
Author(s):  
S. R. Mahmoud ◽  
A. M. Abd-Alla ◽  
K. S. Al-Basyouni ◽  
A. T. Ali ◽  
E. M. Elsayed
Keyword(s):  
Initial Stress ◽  
Hollow Sphere ◽  
Radial Vibrations

scholarly journals Exact Magnetothermoelastic Solution for a Hollow Sphere Subjected to Initial Stress, Rotation, and Magnetic Field

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
S. M. Abo-Dahab ◽  
Nahed S. Hussein ◽  
M. Al-Bokamy
Keyword(s):  
Magnetic Field ◽  
Analytical Solution ◽  
Elastic Medium ◽  
Initial Stress ◽  
Hollow Sphere ◽  
Heat Propagation ◽  
Numerical Calculations ◽  
Periodic Loading ◽  
Stress Rotation ◽  
Coupled Theory

We estimated an analytical solution of the displacement, stress, and temperature in a rotating isotropic homogeneous elastic medium hollow sphere subjected to periodic loading and magnetic field. The coupled theory of thermoelasticity is applied to determine an infinite velocity of heat propagation. The numerical calculations are carried out for the displacement, temperature, and stresses. The results obtained are displayed graphically to illustrate the effect of initial stress, rotation, and magnetic field which indicate to pronounce influence of rotation and magnetic field.

Effect of magnetic field and non-homogeneity on the radial vibrations in hollow rotating elastic cylinder

Meccanica ◽  
2012 ◽  
Vol 48 (3) ◽  
pp. 555-566 ◽  
Author(s):  
A. M. Abd-Alla ◽  
G. A. Yahya ◽  
S. R. Mahmoud
Keyword(s):  
Magnetic Field ◽  
Elastic Cylinder ◽  
Radial Vibrations

scholarly journals Magnetic field on surface waves propagation in gravitational thermoelastic media with two temperature and initial stress in the context of three theories

2020 ◽  
Vol 24 (Suppl. 1) ◽  
pp. 285-299
Author(s):  
Jamel Bouslimi ◽  
Sayed Abo-Dahab ◽  
Khaled Lotfy ◽  
Sayed Abdel-Khalek ◽  
Eied Khalil ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Surface Waves ◽  
Initial Stress ◽  
Half Space ◽  
Generalized Thermoelasticity ◽  
Phase Lag ◽  
Mathematical Methods ◽  
Numerical Work ◽  
Suitable Material ◽  
Two Temperature

In this paper is investigating the theory of generalized thermoelasticity under two temperature is used to solve boundary value problems of 2-D half-space its bound?ary with different types of heating under gravity effect. The governing equations are solved using new mathematical methods under the context of Lord-Shulman, Green-Naghdi theory of type III (G-N III) and the three-phase-lag model to inves?tigate the surface waves in an isotropic elastic medium subjected to gravity field, magnetic field, and initial stress. The general solution obtained is applied to a spe?cific problem of a half-space and the interaction with each other under the influence of gravity. The physical domain by using the harmonic vibrations is used to obtain the exact expressions for the Waves velocity and attenuation coefficients for Stoneley waves, Love waves, and Rayleigh waves. Comparisons are made with the results between the three theories. Numerical work is also performed for a suitable material with the aim of illustrating the results. The results obtained are calculated numerical?ly and presented graphically with some comparisons in the absence and the presence the influence of gravity, initial stress and magnetic field. It clears that the results ob?tained agree with the physical practical results and agree with the previous results if the gravity, two temperature, and initial stress neglect as special case from this study.

Sign in / Sign up

Export Citation Format

Share Document