Hostname: page-component-848d4c4894-p2v8j Total loading time: 0.001 Render date: 2024-05-21T21:05:56.443Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Chandrasekharaiah, D. S., Thermoelasticity with second sound, a review, Appl. Mech. Rev., 39 (1986), pp. 354–376.Google Scholar
[2] Chaudhry, S., Kaushik, V. P. and Tomar, S. K., Reflection/ Transmission of plane SH-wave through a self-reinforced elastic layer sandwiched between two homogeneous visco-elastic solid half-spaces, Acta Geophys. Pol., 52 (2004), pp. 219–235.Google Scholar
[3] Chaudhry, S., Tomar, S. K. and Kaushik, V. P., Transmission of plane SH-wave through a self-reinforced elastic layer sandwiched between two anisotropic inhomogeneous elastic solid half-spaces, Int. J. Appl. Mech. Eng., 9 (2005), pp. 131–146.Google Scholar
[4] Green, A. E. and Lindsay, K. A., Thermoelasticity, J. Elasticity, 2 (1972), pp. 1–7.Google Scholar
[5] Green, A. E. and Naghdi, P. M., Thermoelasticity without energy dissipation, J. Elasticity, 31 (1993), pp. 189–208.Google Scholar
[6] Lord, H. W. and Shulman, Y., A generalized dynamical theory of thermoelasticity, J. Mech. Phys. Solids, 15 (1967), pp. 299–309.Google Scholar
[7] Othman, M. I. A. and Song, Y., Reflection of magneto-thermoelastic waves with two relaxation times and temperature dependent elastic moduli, Appl. Math. Model., 32 (2008), pp. 483–500.Google Scholar
[8] Sinha, S. B. and Elsibai, K. A., Reflection of thermoelastic waves at a solid half-space with two relaxation times, J. Therm. Stresses, 19 (1996), pp. 763–777.Google Scholar
[9] Sinha, S. B. and Elsibai, K. A., Reflection and refraction of thermoelastic waves at an interface of two semi-infinite media with two relaxation times, J. Therm. Stresses, 20 (1996), pp. 129–146.CrossRefGoogle Scholar
[10] Sinh, S. J. and Khurana, S., Reflection and transmission of P- and SV-waves at the interface two between monoclinic elastic half-spaces, Proc. Natl. Acad. Sci. India, 71A(IV) (2001), pp. 305–319.Google Scholar
[11] Singh, S. J. and Khurana, S., Reflection of P- and SV-waves at the free surface of a monoclinic elastic half-space, Proc. Indian Acad. Sci., (Earth Planet. Sci.,), 111 (2002), pp. 401–412.Google Scholar
[12] Tzou, D. Y., Macro- to Microscale Heat Transfer the Lagging Behavior, Washington, DC: Taylor & Francis, 1996.Google Scholar
[13] Tzou, D. Y., A unified approach for heat conduction from macro- to micro- scales, J. Heat Trans., 117 (1995), pp. 8–16.Google Scholar
[14] Tzou, D. Y., Experimental support for the lagging behavior in heat propagation, J. Thermophys. Heat Trans., 9 (1995), pp. 686–693.Google Scholar