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Exact Magnetothermoelastic Solution for a Hollow Sphere Subjected to Initial Stress, Rotation, and Magnetic Field
Author(s) -
S. M. Abo-Dahab,
Nahed S. Hussein,
M. Al-Bokamy
Publication year - 2014
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2014/920198
Subject(s) - isotropy , rotation (mathematics) , magnetic field , displacement (psychology) , stress (linguistics) , mechanics , field (mathematics) , stress field , homogeneous , exact solutions in general relativity , classical mechanics , physics , materials science , mathematical analysis , mathematics , geometry , finite element method , thermodynamics , optics , psychology , linguistics , philosophy , quantum mechanics , pure mathematics , psychotherapist
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

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