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

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  • S. M. Abo-Dahab
  • Nahed S. Hussein
  • M. Al-Bokamy

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.

Suggested Citation

  • S. M. Abo-Dahab & Nahed S. Hussein & M. Al-Bokamy, 2014. "Exact Magnetothermoelastic Solution for a Hollow Sphere Subjected to Initial Stress, Rotation, and Magnetic Field," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-13, April.
    • Handle: RePEc:hin:jnljam:920198
    DOI: 10.1155/2014/920198
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