Mediterranean Journal of Modeling and Simulation
Volume 7, Numéro 1, Pages 21-37
2017-03-30

Time-fractional Heat Conduction Law In A Magneto-thermoelastic Solid With Hydrostatic Initial Stress



Authors : Sarkar Nantu .

Abstract

In this paper, the theory of fractional order two-temperature generalized thermoelasticity [Ezzat, M.A. and El Karamany, A.S., 2011. Fractional order heat conduction law in magneto-thermoelasticity involving two temperatures, Journal of Applied Mathematics and Physics 62, p. 937] is used to study the propagation of magneto-thermoelastic disturbances in a homogeneous isotropic perfectly conducting half-space medium due hydrostatic initial stress. Normal mode analysis technique and the method of displacement potentials are used to obtain the analytical solutions of the studied field varables. Arbitrary application is chosen to enable us to get the complete solution. The effect of fractional parameter and hydrostatic initial stress on the variations of the studied field quantities has been investigated graphically.

Keywords

Fractionl order magneto-thermoelasticity; Hydrostatic initial stress; Displacement potentials; Normal mode analysis.

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