2-D Problem of Magneto-Thermoelastic Medium Under the Effect of Different Fields with Two-Temperature and 3PHL Model
American Journal of Nano Research and Applications
Volume 4, Issue 4, July 2016, Pages: 33-42
Received: Dec. 8, 2016;
Accepted: Dec. 20, 2016;
Published: Jan. 14, 2017
Views 2688 Downloads 114
Mohamed I. A. Othman, Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
Nehal T. Mansour, Department of Mathematics, Faculty of Science, Taif University, Ta'if, Saudi Arabia
Three-phase-lag theory of thermoelasticity is employed to study the deformation of thermo-elastic solid half-space under hydrostatic initial stress, rotation, magnetic field and gravity with two-temperature. The normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress, thermodynamic temperature and conductive temperature. The numerical results are given and presented graphically when mechanical and thermal force is applied. Comparisons are made with the results predicted by the three-phase-lag model, Green-Naghdi III and Lord-Shulman theories.
Mohamed I. A. Othman,
Nehal T. Mansour,
2-D Problem of Magneto-Thermoelastic Medium Under the Effect of Different Fields with Two-Temperature and 3PHL Model, American Journal of Nano Research and Applications.
Vol. 4, No. 4,
2016, pp. 33-42.
Hetnarski, R.-B. and Ignaczak, J., (1999) “Generalized thermoelasticity”, Journal of Thermal Stress, 22, 451-476.
Lord, H. and Shulman, Y.-A., (1967) “Generalized dynamical theory of thermoelasticity”, Journal of the Mechanics and Physics of Solids, 15, 299–309.
Green, A.-E. and Lindsay, K.-A., (1972) “Thermoelasticity”, Journal of Elasticity, 2, 1-7.
Hetnarski, R.-B. and Ignaczak, J., (1996) “Soliton-like waves in a low temperature non-linear thermoelastic solid”, International Journal of Engineering Science, 34, 1767-1787.
Tzou, D.-Y., (1995) “A unified field approaches for heat conduction from macro to micro scales”, The ASME Journal of Heat Transfer, 117, 8-16.
Chandrasekharaiah, D.-S., (1998) “Hyperbolic thermo-elasticity: A review of recent literature”, Applied Mechanics Reviews, 51, 705-729.
Ailawalia, P. and Singla, A. (2015) "Disturbance due to internal heat source in thermoelastic solid using dual phase lag model", Structural Engineering and Mechanics, An Int'l Journal, 56, 341-354.
Quintanilla, R. and Racke, R. (2008) "A note on stability in three-phase-lag heat conduction", International Journal of Heat and Mass Transfer, 51, 24-29.
Kumar, R. and Partap, G. (2011) "Vibration analysis of wave motion in micropolar thermo-visco-elastic plate", Structural Engineering and Mechanics, An Int'l Journal 39, 861-875.
Abo-Dahab, S. M., Abd-Alla, A. M. and Khan, A. (2016) "Rotational effect on Rayleigh, Love an Stoneley waves in non-homogeneous fibre-reinforced anisotropic general visco-elastic media of higher order," Structural Engineering and Mechanics, An Int'l Journal, 58, 181-197.
Abd–Alla, A. M., Abo–Dahab, S. M. and Bayones, F. S. (2015) “Wave propagation in fibre-reinforced anisotropic thermo-elastic medium subjected to gravity field,” Structural Engineering and Mechanics, An Int'l Journal, 53, 277–296.
Kakar, R. and Kakar, S. (2014) "Electro-magneto-thermo-elastic surface waves in non-homogeneous orthotropic granular half space", Geomechanics and Engineering, An Int'l Journal, 7, 1-36.
Chen, P. J. and Gurtin, M. E. (1968) "On a theory of heat conduction involving two-temperature", Zeitschrift für Angewandte Mathematik und Physik, 19, 614-627.
Ieşan, D. (1970) "On the linear coupled thermoelasticity with two-temperature", Zeitschrift für Angewandte Mathematik und Physik, 21, 583-591.
Abbas, I. A. and Othman, M. I. A. (2012) "Generalized thermo-elastic interaction in a fibre-reinforced anisotropic half-space under hydrostatic initial stress", Journal of Vibration and Control, 18, 175-182.
Othman, M. I. A. and Ahmed, E. A. A. (2015) "The effect of rotation on piezo-thermoelastic medium using different theories", Structural Engineering and Mechanics, An Int'l Journal, 56, 649-665.
Othman, M. I. A. and Said, S. M. (2016) "Wave propagation in a two-temperature fiber-reinforced magneto-thermoelastic medium with three-phase-lag model", Structural Engineering and Mechanics, An Int'l Journal, 57, 201-220.
Gupta, R. R. and Gupta, R. R. (2013) "Analysis of wave motion in an anisotropic initially stressed fiber-reinforced thermo-elastic medium", Earthquakes and Structures, An Int'l Journal, 4, 1-10.
Othman, M. I. A. Elmaklizi, Y. D. and Said, S. M. (2013) "Generalized thermoelastic medium with temperature-dependent properties for different theories under the effect of gravity field", International of Journal Thermophysics, 34, 521–537.
De, S. N. and Sengurta, P. R. (1976) "Surface waves under the influence of gravity", Gerlands Beitr Geophys (Leipzig), 85, 311-318.