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A two-temperature generalized magneto-thermoelastic formulation for a rotating medium with thermal shock under hydrostatic initial stress

The interaction between magnetic field and thermal field in an elastic half-space, homogeneous and isotropic under two temperature and initial stress are investigated using a normal mode method in the framework of the Lord–Şhulman theory, with thermal shock and rotation. The medium rotates with a un...

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Bibliographic Details
Published in:Continuum mechanics and thermodynamics 2020-05, Vol.32 (3), p.883-900
Main Author: Abo-Dahab, S. M.
Format: Article
Language:English
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Summary:The interaction between magnetic field and thermal field in an elastic half-space, homogeneous and isotropic under two temperature and initial stress are investigated using a normal mode method in the framework of the Lord–Şhulman theory, with thermal shock and rotation. The medium rotates with a uniform angular velocity, and it is considered to be permeated by a uniform magnetic field and hydrostatic initial stress. The general solution we obtain is finally applied to a specific problem. The variations in temperature, the dynamical temperature, the stress and the strain distributions through the horizontal distance are calculated by an appropriate numerical example and graphically illustrated.
ISSN:0935-1175
1432-0959
DOI:10.1007/s00161-019-00765-3