Journal
PHYSICA B-CONDENSED MATTER
Volume 406, Issue 1, Pages 30-35Publisher
ELSEVIER
DOI: 10.1016/j.physb.2010.10.005
Keywords
Generalized thermoelasticity; Fractional calculus; Non-Fourier heat conduction law; Thermoelectric properties; State space approach; Numerical results
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In this work, a new model of the magneto-thermoelasticity theory has been constructed in the context of a new consideration of heat conduction with fractional derivative. A one-dimensional application for a conducting half-space of thermoelectric elastic material, which is thermally shocked in the presence of a magnetic field, has been solved using Laplace transform and state-space techniques (Ezzat, 2008 [1]). According to the numerical results and its graphs, a conclusion about the new theory of magneto-thermoelasticity has been constructed. The theories of coupled magneto-thermoelasticity and of generalized magneto-thermoelasticity with one relaxation time follow as limited cases. The result provides a motivation to investigate conducting thermoelectric materials as a new class of applicable materials. (C) 2010 Elsevier B.V. All rights reserved.
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