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Magneto-thermo-elastic response in a perfectly conducting medium with three-phase-lag effect
P DAS, M KANORIA
Published in SPRINGER WIEN
2012
Volume: 223
   
Issue: 4
Pages: 811 - 828
Abstract
This paper dealswith the problem of magneto-thermo-elastic interactions in an unbounded, perfectly conducting elastic medium due to the presence of periodically varying heat sources in the context of linear theory of generalized thermo-elasticity with energy dissipation (TEWED or GN-III model), without energy dissipation (TEWOED or GN-II model) and three-phase-lag model (3P model). The governing equations of generalized thermo-elasticity of the above models under the influence of a magnetic field are established. The Laplace-Fourier double transform technique has been used to get the solution. The inversion of the Fourier transform has been done by using residual calculus, where poles of the integrand are obtained numerically in a complex domain by using Laguerre's method, and the inversion of the Laplace transformation is done numerically using a method based on Fourier series expansion technique. Displacement, temperature, stress and strain distributions have been computed numerically and presented graphically in numbers of figures. A comparison of the results for different theories (GN-II, GN-III and 3P model) and the effect of magnetic field and damping coefficient on the physical quantities has been discussed. © 2011 Springer-Verlag.
About the journal
JournalData powered by TypesetActa Mechanica
PublisherData powered by TypesetSPRINGER WIEN
ISSN0001-5970