References
- Abbas, I. A. 2014a. Three-phase-lag model on thermoelastic interaction in an unbounded fiber-reinforced anisotropic medium with a cylindrical cavity. Journal of Computational and Theoretical Nanoscience 11 (4):987–92. doi:https://doi.org/10.1166/jctn.2014.3454.
- Abbas, I. A. 2014b. Eigenvalue approach for an unbounded medium with a spherical cavity based upon two-temperature generalized thermoelastic theory. Journal of Mechanical Science and Technology 28 (10):4193–8.
- Abbas, I. A. 2015. A dual phase lag model on thermoelastic interaction in an infinite fiber-reinforced anisotropic medium with a circular hole. Mechanics Based Design of Structures and Machines 43 (4):501–13.
- Abbas, I. A., and H. M. Youssef. 2013. Two-temperature generalized thermoelasticity under ramp-type heating by finite element method. Meccanica 48 (2):331–9. doi:https://doi.org/10.1007/s11012-012-9604-8.
- Abd-Alla, A. M., and S. M. Ahmed. 2003. Stonley and Rayleigh waves in a non-homo- geneous orthotropic elastic medium under the influence of gravity. Journal of Applied Mathematics and Computing 135:187–200. doi:https://doi.org/10.1016/S0096-3003(01)00329-0.
- Ailawalia, P., and N. S. Narah. 2009. Effect of rotation in generalized thermoelastic solid under the influence of gravity with an overlying infinite thermoelastic fluid. Applied Mathematics and Mechanics 30 (12):1505–18. doi:https://doi.org/10.1007/s10483-009-1203-6.
- Biot, M. A. 1956. Thermoelasticity and irreversible thermodynamics. Journal of Applied Physics 27 (3):240–53. doi:https://doi.org/10.1063/1.1722351.
- Bromwich, T. J. J. A. 1898. On the influence of gravity on elastic waves and in particular on the vibrations of an elastic globe. Proceedings of the London Mathematical Society 30:98–120. doi:https://doi.org/10.1112/plms/s1-30.1.98.
- Das, S. C., D. R. Acharya, and P. R. Sengupta. 1992. Surface waves in an inhomogeneous elastic medium under the influence of gravity. Revue Roumaine des Sciences Techniques 37:539–51.
- Dhaliwal, R. S., and A. Singh. 1980. Dynamic coupled thermoelasticity. New Delhi: Hindustan Publ. Corp.
- Garg, N. R., R. Kumar, A. Goel, and A. Miglani. 2003. Plane strain deformation of an orthotropic elastic medium using eigenvalue approach. Earth, Planets and Space 55 (1):3–9.
- Green, A. E., and N. Laws. 1972. On the entropy production inequality. Archive for Rational Mechanics and Analysis 45 (1):47–53. doi:https://doi.org/10.1007/BF00253395.
- Green, A. E., and K. A. Lindsay. 1972. Thermoelasticity. Journal of Elasticity 2 (1):1–7. doi:https://doi.org/10.1007/BF00045689.
- Green, A. E., and P. M. Naghdi. 1993. Thermoelasticity without energy dissipation. Journal of Elasticity 31 (3):189–208. doi:https://doi.org/10.1007/BF00044969.
- Kumar, R., and P. Ailawalia. 2005. Elastodynamics of inclined loads in micropolar cubic crystal. Mechanics and Mechanical Engineering 9 (2):57–75.
- Kumar, R., and L. Rani. 2005. Deformation due to inclined load in thermoelastic half- space with voids. Archives of Mechanics 57:7–24.
- Kuo, J. T. 1969. Static response of a multilayered medium under inclined surface loads. Journal of Geophysical Research 74 (12):3195–207.
- Lord, H. W., and Y. Shulman. 1967. A generalized dynamical theory of thermoelasticity. Journal of the Mechanics and Physics of Solids 15 (5):299–309. doi:https://doi.org/10.1016/0022-5096(67)90024-5.
- Love, A. E. H. 1911. Some problems of geodynamics. New York: Dover.
- Mukherjee, A., P. R. Sengupta, and L. Debnath. 1991. Surface waves in higher order visco-elastic media under the influence of gravity. Journal of Applied Mathematics and Stochastic Analysis 4 (1):71–82. doi:https://doi.org/10.1155/S1048953391000047.
- Othman, M. I. A. 2002. Lord-Shulman theory under the dependence of the modulus of elasticity on the reference temperature in two dimensional generalized thermo- elasticity. Journal of Thermal Stresses 25 (11):1027–45.
- Othman, M. I. A., and I. A. Abbas. 2012. Generalized thermoelasticity of thermal-shock problem in a non-homogeneous isotropic hollow cylinder with energy dissipation. International Journal of Thermophysics 33 (5):913–23. doi:https://doi.org/10.1007/s10765-012-1202-4.
- Othman, M. I. A., and E. M. Abd-Elaziz. 2015. The effect of thermal loading due to laser pulse on generalized thermoelastic medium with voids in dual phase lag model. Journal of Thermal Stresses 38 (9):1068–82. doi:https://doi.org/10.1080/01495739.2015.1073492.
- Othman, M. I. A., and E. M. Abd-Elaziz. 2017. Effect of rotation and gravitational on a micropolar magneto-thermoelastic medium with dual-phase-lag model. Microsystem Technologies 23 (10):4979–87. doi:https://doi.org/10.1007/s00542-017-3295-y.
- Othman, M. I. A., S. M. Abo-Dahab, and H. A. Alosaimi. 2018. Effect of inclined load and magnetic field in micropolar thermoelastic medium possessing cubic symmetry in the context of G-N theory. Multidiscipline Modeling in Materials and Structures 14 (2):306–21. doi:https://doi.org/10.1108/MMMS-08-2017-0086.
- Othman, M. I. A., and E. E. M. Eraki. 2017. Generalized magneto-thermoelastic half-space with diffusion under initial stress using three-phase-lag model. Mechanics Based Design of Structures and Machines 45 (2):145–59.
- Othman, M. I. A., and E. E. M. Eraki. 2018. Effect of gravity on generalized thermoelastic diffusion due to laser pulse using dual-phase-lag model. Multidiscipline Modeling in Materials and Structures 14 (3):457–81. doi:https://doi.org/10.1108/MMMS-08-2017-0087.
- Othman, M. I. A., W. M. Hasona, and E. M. Abd-Elaziz. 2014. Effect of rotation on micro- polar generalized thermoelasticity with two temperature using a dual-phase-lag model. Canadian Journal of Physics 92 (2):148–59.
- Sharma, K. 2011. Analysis of deformation due to inclined load in generalized thermo-diffusive elastic medium. International Journal of Engineering, Science and Technology 3 (2):117–29.
- Tzou, D. Y. 1995a. A unified approach for heat conduction from macro-to micro- scales. Journal of Heat Transfer 117 (1):8–16.
- Tzou, D. Y. 1995b. Experimental support for the lagging behavior in heat propagation. Journal of Thermophysics and Heat Transfer 9 (4):686–93. doi:https://doi.org/10.2514/3.725.
- Tzou, D. Y. 1996. Macro-to micro-scale heat transfer: The lagging behavior. 1st ed. Washington, DC: Taylor & Francis.
- Zenkour, A. M. 2018a. Refined two-temperature multi-phase-lags theory for thermo- mechanical response of microbeams using the modified couple stress analysis. Acta Mechanica 229 (9):3671–92.
- Zenkour, A. M. 2018b. Refined microtemperatures multi-phase-lags theory for plane wave propagation in thermoelastic medium. Results in Physics 11:929–37.
- Zenkour, A. M. 2019a. Refined multi-phase-lags theory for photothermal waves of a gravitated semiconducting half-space. Composite Structures 212:346–64. doi:https://doi.org/10.1016/j.compstruct.2019.01.015.
- Zenkour, A. M. 2019b. Effect of thermal activation and diffusion on a photothermal semi-conducting half-space. Journal of Physical Chemistry Solids 132:56–67.
- Zenkour, A. M., and I. A. Abbas. 2014. A generalized thermoelasticity problem of an annular cylinder with temperature-dependent density and material properties. International Journal of Mechanical Sciences 84:54–60. doi:https://doi.org/10.1016/j.ijmecsci.2014.03.016.
- Zenkour, A. M., and M. A. Kutbi. 2019. Multi thermal relaxations for thermo-diffusion problem in a thermoelastic half-space. International Journal of Heat and Mass Transfer 143:118568. doi:https://doi.org/10.1016/j.ijheatmasstransfer.2019.118568.