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

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, thermoelastic 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 = {}, 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 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, dual-phase-lag model, thermoelastic waves, partition of energy, 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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