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The effect of fractional parameter on a perfect conducting elastic half-space in generalized magneto-thermoelasticity
, A. Lahiri
Published in
Volume: 48
Issue: 1
Pages: 231 - 245
Recently, Sherief et al. (Int. J. Solids Struct. 47:269-275, 2010) proposed a model in generalized thermoelasticity based on the fractional order time derivatives. The propagation of electro-magneto-thermoelastic disturbances in a perfectly conducting elastic half-space is investigated in the context of the above fractional order theory of generalized thermoelasticity. There acts an initial magnetic field parallel to the plane boundary of the half-space. Normal mode analysis together with the eigenvalue approach technique is used to solve the resulting non-dimensional coupled governing equations of the problem. The obtained solution is then applied to two specific problems for the half-space, whose boundary is subjected to (i) thermally isolated surfaces subjected to time-dependent compression and (ii) a time-dependent thermal shock and zero stress. The effects of fractional parameter and magnetic field on the variations of different field quantities inside the half-space are analyzed graphically. © 2012 Springer Science+Business Media B.V.
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