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The Reflection of Magneto-Thermoelastic P and SV Waves at a Solid Half Space Using Dual-Phase-Lag Model

Published online by Cambridge University Press:  03 June 2015

Ahmed E. Abouelregal
Ahmed E. Abouelregal*
Affiliation:
Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
*
*Corresponding author. Email: ahabogal@mans.edu.eg
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Abstract

The dual-phase-lag heat transfer model is employed to study the reflection phenomena of P and SV waves from a surface of a semi-infinite magneto-thermoelastic solid. The ratios of reflection coefficients to that of incident coefficients are obtained for P- and SV-wave cases. The results for partition of the energy for various values of the angle of incidence are computed numerically under the stress-free and rigidly fixed thermally insulated boundaries. The reflection coefficients are depending on the angle of incidence, magnetic field, phase lags and other material constants. Results show that the sum of energy ratios is unity at the interface. The results are discussed and depicted graphically.

Keywords

73B3035Q99Reflectiondual-phase-lag modelthermoelastici wavespartition of energymagneto-thermoelasticity
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 3 , Issue 6 , December 2011 , pp. 745 - 758
Copyright
Copyright © Global-Science Press 2011

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