References
- Hetnarski RB, Ignaczak J. Generalized thermoelasticity. J Therm Stresses. 1999;22(4):451–476.
- Lord HW, Shulman Y. The generalized dynamical theory of thermo- elasticity. J.Mech.Phys.Solids. 1967;15:299–309.
- Green AE, Lindsay KA. Thermoelasticity. J.Elasticity. 1972;2:1–7.
- Dhaliwal RS, Sherief HH. Genneralized thermoelasticity for anisotropic media. Q Appl Math. 1980;38(1):1–8.
- Chandrasekharaiah DS. Thermoelasticity with Second sound: A review. Appl Mech Rev. 1986;39(3):355–376.
- Ackerman CC, Bartman B, Fairbank HA, et al. Second sound in helium. phys.Rev,Lett. 1966;16:789–791.
- Guyer RA, Krumhansal JA. Thermal conductivity, second sound and phonon, hydrodynamic phenomenon in non-metallic crystals. Phys. Rev. 1966;148:778–788.
- Ackerman CC, Overton WC. Second sound in solid helium. Phys Rev Lett. 1969;22(15):764–766.
- Chen PJ, Williams WO. A note on non-simple heat conduction. Zeitschrift Für Angewandte Mathematik Und Physik Zamp. 1968;19(6):969–970.
- Chen PJ, Gurtin ME, Williams WO. On the thermodynamics of non-simple elastic materials with two temperatures. Zeitschrift Für Angewandte Mathematik Und Physik Zamp. 1969;20(1):107–112.
- Chen JK, Beraun JE, Tham CL. Ultrafast thermoelasticity for short-pulse laser heating. Int J Eng Sci. 2004;42(8/9):793–807.
- Qiu TQ, Tien CL. Heat transfer mechanisms during short-pulse laser heating of metals. J Heat Transfer. 1993;115(4(4)):835–841.
- Youssef HM. Theory of two-temperature-generalized thermoelasticity. IMA J Appl Math. 2013;71(3):383–390.
- Youssef HM, Al-Lehaibi EA. State-space approach of two-temperature generalized thermoelasticity of one-dimensional problem. International Journal of Solids & Structures. 2007;44(5):1550–1562.
- Sarkar N, Lahiri A. Eigenvalue approach to two-temperature magneto- thermoelasticity. Vietnam J. Math. Math. 2012;40:13–30.
- Ma YB, Liu ZQ, He TH. A two-dimensional fibre-reinforced mode-I crack problem under fractional order theory of thermoelasticity. Mech Adv Mater Struct. 2020;27(1):34–42.
- Ma YB, Liu ZQ, He TH. Two-dimensional electromagneto-thermoelastic coupled problem under fractional order theory of thermoelasticity. J Therm Stresses. 2018;41(5):1–13.
- Povstenko YZ. Fractional radial heat conduction in an infinite medium with a cylindrical cavity and associated thermal stresses. Mech Res Commun. 2010;37(4):436–440.
- El-Karamany AS, Ezzat MA. On fractional thermoelasticity. Mathematics & Mechanics of Solids. 2011;3(3):334–346.
- Ezzat MA. Thermoelectric MHD non-newtonian fluid with fractional derivative heat transfer. Physica B Condensed Matter. 2010;405(19):4188–4194.
- Ezzat MA, EI-Karamany AS. Fractional order heat conduction law In magneto-thermoelasticity involving two temperatures. Z.Angew.Math Phys. 2011;62:937–952.
- Ezzat MA, EI-Karamany AS. Fractional thermoelectric viscoelastic. Appl. Polym.sci. 2012;124:2187–2199.
- Bachher M, Sarkar N, Lahiri A. Generalized thermoelastic infinite medium with voids subjected to an instantaneous heat sources with fractional derivative heat transfer. Int J Mech Sci. 2014;89:84–91.
- Bachher M, Sarkar N, Lahiri A. Fractional order thermoelastic interactions in an infinite porous material due to distributed time-dependent heat sources. Meccanica. 2015;50(8):2167–2178.
- Wang JL, Li HF. Surpassing the fractional derivative: concept of the memory-dependent derivative. Comput Math Appl. 2011;62(3):1562–1567.
- Yu YJ, Hu W, Tian XG. A novel generalized thermoelasticity model based on memory-dependent derivative. Int J Eng Sci. 2014;81:123–134.
- Ezzat MA, El-Karamany AS, El-Bary AA. Generalized thermoelasticity with memory-dependent derivatives involving two temperatures. Mechanics of Composite Materials & Structures. 2016;23(5):545–553.
- Ezzat MA, El-Karamany AS, El-Bary AA. Generalized thermo-viscoel- asticity with memory-dependent derivatives. Int.J.Mech.sci. 2014;89:470–475.
- Ezzat MA, El-Karamany AS, El-Bary AA. Modeling of memory- dependent derivatives in generalized thermoelasticity. Eur.Phys.J.Plus. 2016;131:131–372.
- Lotfy K, Sarkar N. Memory-dependent derivatives for photothermal semiconducting medium in generalized thermoelasticity with two-temperature. Mech Time-Depend Mater. 2017;21:15–30.
- Eringen AC. Nonlocal continuum theory of liquid crystals. Mol Cryst Liq Cryst. 1981;75:321–343.
- Altan S. Burhanettin. uniqueness theorem in the linear theory of nonlocal viscoelasticity. Ari Bulletin of the Istanbul Technical University. 1985;38(2):233–246.
- Chirita S. On some boundary value problem in nonlocal elasticity. Amale Stiinfice ale Universitatii”AL.I.CUZA”din Lasi Tomul. 1976;vol.XXII:2.
- Cracium B. On nonlocal thermoelsticity. Ann St Univ Ovidus Constanta. 1996;5:29–36.
- Edelen D, Laws N. On the thermodynamics of systems with nonlocality. Archive for Rational Mechanics & Analysis. 1971;43(1):24–35.
- Edelen D, Green AE, Laws N. Nonlocal continuum mechanics. Archive for Rational Mechanics & Analysis. 1971;43(1):36–44.
- Eringen AC, Edelen D. On nonlocal elasticity. Int J Eng Sci. 1972;10(3):233–248.
- Eringen A C. Nonlocal polar elastic continua. Int J Eng Sci. 1972;10(1):1–16.
- Eringen CA. Nonlocal continuum theory of Liquid crystals. Molecular Crystals & Liquid Crystals. 1981;75(1):321–343.
- Eringen AC. Memory-dependent nonlocal electromagnetic elastic solids and superconductivity. J Math Phys. 1991;32(3):787–796.
- Mccay BM, Narasimhan M. Theory of nonlocal electromagnetic fluids. Arch Mech. 1981;33(3):365–384.
- Lebon G, Grmela M. Weakly nonlocal heat conduction in rigid solids. Phys Lett A. 1996;214(3-4):184–188.
- Sellitto A, Jou D, Bafaluy J. Non-local effects in radial heat transport in silicon thin layers and graphene sheets. Proceedings of the Royal Society a-Mathematical Physical and Engineering Sciences. 2012;468(2141):1217–1229.
- Challamel a N, Grazide a C, Picandet a V, et al. A nonlocal Fourier's law and its application to the heat conduction of one-dimensional and two-dimensional thermal lattices. Comptes Rendus Mécanique. 2016;344(6):388–401.
- Yu YJ, Tian XG, Liu XR. Size-dependent generalized thermoelasticity using Eringen's nonlocal model. Eur J Mech A, Solids. 2015;51:96–106.
- Yu YJ, Xue ZN, Li CL, et al. Buckling of nanobeams under nonuniform temperature based on nonlocal thermoelasticity-ScienceDirect. Compos Struct. 2016;146:108–113.
- Gao YP, Ma YB. Dynamic response of a hollow cylinder under memory-dependent differential hygrothermal coupling. Journal of Thermal Stresses. 2021;44(12):1441–1457.
- Bellman R, Buell J, Kalaba R, et al. On computational solution of an equation arising in chemotherapy using numerical inversion of Laplace transform. J Theor Biol. 1966;11(2):334–337.