Volume 3, Issue 6
The Reflection of Magneto-Thermoelastic P and SV Waves at a Solid Half Space Using Dual-Phase-Lag Model

Ahmed E. Abouelregal

Adv. Appl. Math. Mech., 3 (2011), pp. 745-758.

Published online: 2011-03

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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

Reflection dual-phase-lag model thermoelastici waves partition of energy magneto-thermoelasticity

  • AMS Subject Headings

73B30 35Q99

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-3-745, author = {Ahmed E. Abouelregal}, title = {The Reflection of Magneto-Thermoelastic P and SV Waves at a Solid Half Space Using Dual-Phase-Lag Model}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2011}, volume = {3}, number = {6}, pages = {745--758}, 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.11-m1101}, url = {http://global-sci.org/intro/article_detail/aamm/194.html} }
TY - JOUR T1 - The Reflection of Magneto-Thermoelastic P and SV Waves at a Solid Half Space Using Dual-Phase-Lag Model AU - Ahmed E. Abouelregal JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 745 EP - 758 PY - 2011 DA - 2011/03 SN - 3 DO - http://doi.org/10.4208/aamm.11-m1101 UR - https://global-sci.org/intro/article_detail/aamm/194.html KW - Reflection KW - dual-phase-lag model KW - thermoelastici waves KW - partition of energy KW - magneto-thermoelasticity AB -

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.

Ahmed E. Abouelregal. (1970). The Reflection of Magneto-Thermoelastic P and SV Waves at a Solid Half Space Using Dual-Phase-Lag Model. Advances in Applied Mathematics and Mechanics. 3 (6). 745-758. doi:10.4208/aamm.11-m1101
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