M. Biot, Thermoelasticity and Irreversible Thermodynamics, Journal of Applied Physics Vol. 27, No. 3, pp. 240-253, 1956.
 H. Lord, Y. Shulman, A generalized dynamical theory of thermoelasticity, Journal of the Mechanics and Physics of Solids, Vol. 15, No. 5, pp. 299-309, 1967.
 A. E. Green, K. A. Lindsay, Thermoelasticity, Journal of Elasticity, Vol. 2, pp. 1-7, 1972.
 A. E. Green, P.M. Naghdi, A re-examination of the basic postulates of thermomechanics, proceedings of the Royal Society of London. Series A, Vol. 432, pp. 171-194, 1991.
 A. E. Green, P. M. Naghdi, Thermoelasticity without energy dissipation, Journal of Elasticity, Vol. 31, pp. 189-208, 1993.
 D. Y. Tzou, Thermal Shock Phenomena in Solids Under High-Rate Response, Annual Review of Heat Transfer, Vol. 4, pp. 111-185, 1992.
 D. Y. Tzou, A unified field approach for heat conduction from macro-to micro-scales, Journal of Heat Transfer, Vol. 117, No. 1, pp. 8-16, 1995.
 D. Y. Tzou, The generalized lagging response in small-scale and high-rate heating, International Journal of Heat and Mass Transfer, Vol. 38, No. 17, pp. 3231-3240, 1995.
 D. S. Chandrasekharaiah, Hyperbolic thermoelasticity: a review of recent literature, Applied Mechanics Reviews, Vol. 51, No. 12, pp. 705-729, 1998.
 R. B. Hetnarski, J. Ignaczak, Generalized thermoelasticity, Journal of Thermal Stresses, Vol. 22, No. 4-5, pp. 451-476, 1999.
 J. Ignaczak, Generalized thermoelasticity and its applications, in: R. B. Hetnarski, Mechanics and Mathematical Methods, Eds., pp. 279-354, North Holland: Elsevier Science Publications B. v., 1989.
 R. Quintanilla, R. Racke, A note on stability in dual-phase-lag heat conduction, International Journal of Heat and Mass Transfer, Vol. 49, No. 7-8, pp. 1209-1213, 2006.
 R. Quintanilla, R. Racke, Qualitative Aspects in Dual Phase-Lag Heat Conduction, proceedings of the Royal Society of London. Series A, Vol. 463, pp. 659-674, 2007.
 A. M. Zenkour, A.E. Abouelregal, Effects of phase-lags in a thermoviscoelastic orthotropic continuum with a cylindrical hole and variable thermal conductivity, Archives of Mechanics, Vol. 67, No. 6, pp. 457-475, 2015.
 A. M. Zenkour, D.S. Mashat, A.E. Abouelregal, The Effect of Dual-Phase-Lag Model on Reflection of Thermoelastic Waves in a Solid Half Space with Variable Material Properties, Acta Mechanica Solida Sinica, Vol. 26, pp. 659–670, 2013.
 S. Kant, S. Mukhopadhyay, Investigation on effects of stochastic loading at the boundary under thermoelasticity with two relaxation parameters, Applied Mathematical Modelling, Vol. 54, pp. 648-669, 2018.
 K. Borgmeyer, R. Quintanilla, R. Racke, Phase-Lag Heat Condition: Decay Rates for Limit Problems and Well-Posedness, Journal of Evolution Equations, Vol. 14, pp. 863–884, 2014.
 Z. Liu, R. Quintanilla, Time Decay in Dual-Phase-Lag Thermoelasticity: Critical Case, Communications on Pure & Applied Analysis, Vol. 17, No. 1, pp. 177-190, 2018.
 F. L. Guo, G. Q. Wang, G. A. Rogerson, Analysis of thermoelastic damping in micro- and nanomechanical resonators based on dual-phase-lagging generalized thermoelasticity theory, International Journal of Engineering Science, Vol. 60, pp. 59-65, 2012.
 B. N. Banerjee, R. A. Burton, Thermoelastic instability in lubricated sliding between solid surfaces, Nature, Vol. 261, pp. 399–400, 1976.
 A. K. Wong, S. A. Dunn, J. G. Sparrow, Residual stress measurement by means of the thermoelastic effect, Nature, Vol. 332, pp. 613–615, 1988.
 M. Z. Nejad, M. Jabbari, A. Hadi, A review of functionally graded thick cylindrical and conical shells, Journal of Computational Applied Mechanics, Vol. 48, No. 2, pp. 357-370, 2017.
 M. Hosseini, M. Shishesaz, A. Hadi, Thermoelastic analysis of rotating functionally graded micro/nanodisks of variable thickness, Thin-Walled Structures, Vol. 134, pp. 508-523, 2019.
 M. Z. Nejad, N. Alamzadeh, A. Hadi, Thermoelastoplastic analysis of FGM rotating thick cylindrical pressure vessels in linear elastic-fully plastic condition, Composites Part B: Engineering, Vol. 154, pp. 410-422, 2018.
 A. Hadi, A. Rastgoo, N. Haghighipour, A. Bolhassani, Numerical modelling of a spheroid living cell membrane under hydrostatic pressure, Journal of Statistical Mechanics: Theory and Experiment, Vol. 2018, No. 8, pp. 083501, 2018.
 M. Gharibi, M. Z. Nejad, A. Hadi, Elastic analysis of functionally graded rotating thick cylindrical pressure vessels with exponentially-varying properties using power series method of Frobenius, Journal of Computational Applied Mechanics, Vol. 48, No. 1, pp. 89-98, 2017.
 S. Chiriţă, High-order effects of thermal lagging in deformable conductors, International Journal of Heat and Mass Transfer, Vol. 127, No. Part C, pp. 965-974, 2018.
 S. Chiriţă, On the time differential dual-phase-lag thermoelastic model, Meccanica, Vol. 52, pp. 349–361, 2017.
 A. E. Abouelregal, Modified fractional thermoelasticity model with multi-relaxation times of higher order: application to spherical cavity exposed to a harmonic varying heat, Waves in Random and Complex Media, 17 Jun, 2019.
 A. E. Abouelregal, M. A. Elhagary, A. Soleiman, K. M. Khalil, Generalized thermoelastic-diffusion model with higher-order fractional time-derivatives and four-phase-lags, Mechanics Based Design of Structures and Machines, pp. 1-18, 2020.
 C. Cattaneo, A Form of Heat-Conduction Equations Which Eliminates the Paradox of Instantaneous Propagation, Comptes Rendus, Vol. 247, pp. 431-433, 1958.
 P. Vernotte, Les paradoxes de la theorie continue de l'equation de la chaleur, Comptes Rendus, Vol. 246, pp. 3154-3155, 1958.
 N. S. Clarke, J. S. Burdess, Rayleigh Waves on a Rotating Surface, Journal of Applied Mechanics, Vol. 61, No. 3, pp. 724-726, 1994.
 M. A. A. Abdou, M. I. A. Othman, R. S. Tantawi, N. T. Mansour, Effect of Rotation and Gravity on Generalized Thermoelastic Medium with Double Porosity under L-S Theory, Journal of Materials Science & Nanotechnology, Vol. 6, No. 3, pp. 304-317, 2018.
 A. Gunghas, R. Kumar, S. Deswal, K. K. Kalkal, Influence of Rotation and Magnetic Fields on a Functionally Graded Thermoelastic Solid Subjected to a Mechanical Load, Journal of Mathematics, Vol. 2019, pp. 1-16, 2019.
 A. E. Abouelregal, On Green and Naghdi Thermoelasticity Model without Energy Dissipation with Higher Order Time Differential and Phase-Lags, Journal of Applied and Computational Mechanics, Vol. 6, No. 3, pp. 445-456, 2020.
 A. E. Abouelregal, Two-temperature thermoelastic model without energy dissipation including higher order time-derivatives and two phase-lags, Materials Research Express, Vol. 6:116535, No. 11, 2019.
 A. M. Zenkour, A. E. Abouelregal, Nonlocal thermoelastic vibrations for variable thermal conductivity nanobeams due to harmonically varying heat, Journal of Vibroengineering, Vol. 16, No. 8, pp. 3665-3678, 2014.
 G. Honig, U. Hirdes, A method for the numerical inversion of Laplace Transform, Journal of Computational and Applied Mathematics, Vol. 10, pp. 113-132, 1984.
 D. Y. Tzou, Experimental support for the lagging behavior in heat propagation, Journal of thermophysics and heat transfer, Vol. 9, No. 4, pp. 686-693, 1995.
 M. I. A. Othman, A. E. Abouelregal, Magnetothermoelstic analysis for an infinite solid cylinder with variable thermal conductivity due to harmonically varying heat, Microsystem Technologies, Vol. 23, No. 12, pp. 5635–5644, 2017.