Journal
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
Volume 30, Issue 4, Pages 491-500Publisher
ELSEVIER
DOI: 10.1016/j.euromechsol.2011.02.004
Keywords
Thermoelectric materials; Fourier's law; Modified Riemann-Liouville fractional derivative; New fractional Taylor's series; State space approach; Laplace transforms; Fractional calculus
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A new mathematical model of electro-thermoelasticity has been constructed in the context of a new consideration of heat conduction with fractional order. The state space approach developed in Ezzat (2008) is adopted for the solution of one-dimensional problem in the presence of heat sources. The Laplace transform technique is used. A numerical method is employed for the inversion of the Laplace transforms. According to the numerical results and its graphs, conclusion about the new theory has been constructed. Some comparisons have been shown in figures to estimate the effects of the fractional order parameter on all the studied fields. (C) 2011 Elsevier Masson SAS. All rights reserved.
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