## Journal of Applied Mathematics

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

#### Abstract

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.

#### Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 920198, 13 pages.

Dates
First available in Project Euclid: 2 March 2015

https://projecteuclid.org/euclid.jam/1425305682

Digital Object Identifier
doi:10.1155/2014/920198

#### Citation

Abo-Dahab, S. M.; Hussein, Nahed S.; Al-Bokamy, M. Exact Magnetothermoelastic Solution for a Hollow Sphere Subjected to Initial Stress, Rotation, and Magnetic Field. J. Appl. Math. 2014 (2014), Article ID 920198, 13 pages. doi:10.1155/2014/920198. https://projecteuclid.org/euclid.jam/1425305682

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