참고문헌
- Abbas, I.A., Abd-Alla, A.N. and Othman, M.I.A. (2011), "Generalized magneto-thermoelasticity in a fiber reinforced anisotropic half-space", Int. J. Thermophys., 32(5), 1071-1085. https://doi.org/10.1007/s10765-011-0957-3
- Abd-Alla, A.N., Abo-Dahab, S.M. and Alotaibi, H.A. (2017), "Propagation of a thermoelastic wave in a half space of a homogeneous isotropic material subjected to the effect of gravity field", Arch. Civil Mech. Eng., 17(3), 564-573. https://doi.org/10.1016/j.acme.2016.10.012
- Ailawalia, P. and Narah, N.S. (2009), "Effect of rotation in generalized thermoelastic solid under the influence of gravity with an overlying infinite thermoelastic fluid", Appl. Math. Mech., 30(12), 1505-1518. https://doi.org/10.1007/s10483-009-1203-6
- Ailawalia, P. and Singla, S. (2015), "Disturbance due to internal heat source in thermoelastic solid using dual phase lag model", Struct. Eng. Mech., 56(3), 341-354. https://doi.org/10.12989/sem.2015.56.3.341
- Ailawalia, P., Khurana, G. and Kumar, S. (2009), "Effect of rotation in a generalized thermoelastic medium with two temperature under the influence of gravity", Int. J. Appl. Math. Mech., 5(5), 99-116.
- Baksi, A., Roy, B.K. and Bera, R.K. (2008), "Study of two dimensional viscoelastic problems in generalized thermoelastic medium with heat source", Struct. Eng. Mech., 29(6), 673-687. https://doi.org/10.12989/sem.2008.29.6.673
- Belfield, A.J., Rogers, T.G. and Spencer, A.J.M. (1983), "Stress in elastic plates reinforced by fibers lying in concentric circles", J. Mech. Phys. Sol., 31(1), 25-54. https://doi.org/10.1016/0022-5096(83)90018-2
- Bromwich, T.J.J.A. (1898), "On the influence of gravity on elastic waves and in particular on the vibrations of an elastic globe", Proc. Lond. Math. Soc., 30, 98-120.
- Chen, P.J. and Gurtin, M.E. (1968), "On a theory of heat conduction involving two temperatures", Z. Angew. Math. Phys., 19(4), 614-627. https://doi.org/10.1007/BF01594969
- Chen, P.J., Gurtin, M.E. and Williams, W.O. (1968), "A note on non-simple heat conduction", Z. Angew. Math. Phys., 19(6), 969-970. https://doi.org/10.1007/BF01602278
- Chen, P.J., Gurtin, M.E. and Williams, W.O. (1969), "On the thermodynamics of non-simple elastic material with two temperatures", Z. Angew. Math. Phys., 20(1), 107-112. https://doi.org/10.1007/BF01591120
- Danilovskaya, V.I. (1950), "Thermal stresses in an elastic semispace due to a sudden heating of its boundary", Prikl. Mat. Mech., 14, 316-318.
- Deswal, S. and Kalkal, K.K. (2013), "Fractional order heat conduction law in micropolar thermo-viscoelasticity with two temperature", Int. J. Heat Mass Transf., 66, 451-460. https://doi.org/10.1016/j.ijheatmasstransfer.2013.07.047
- Deswal, S., Kalkal, K.K. and Sheoran S.S. (2017), "A magneto-thermo-viscoelastic problem with fractional order strain under GN-II model", Struct. Eng. Mech., 63(1), 89-102. https://doi.org/10.12989/SEM.2017.63.1.089
- Eason, G. and Sneddon, I.N. (1959), "The dynamic stress produced in elastic body by uneven heating", Proc. Roy. Soc. Edin. Soc., 65, 143-176.
- El-Karamany, A.S. and Ezzat, M.A. (2011), "Convolutional variational principle, reciprocal and uniqueness theorems in linear fractional two-temperature thermoelasticity", J. Therm. Stress., 34(3), 264-284. https://doi.org/10.1080/01495739.2010.545741
- Ezzat, M.A. (2010), "Thermoelectric MHD non-Newtonian fluid with fractional derivative heat transfer", Phys. B, 405(19), 4188-4194. https://doi.org/10.1016/j.physb.2010.07.009
- Honig, G. and Hirdes, U. (1984), "A method for the numerical inversion of Laplace transforms", J. Comp. Appl. Math., 10(1), 113-132. https://doi.org/10.1016/0377-0427(84)90075-X
- Jumarie, G. (2010), "Derivation and solutions of some fractional Black-Scholes equations in coarse-grained space and time. Application to Merton's optimal portfolio", Comput. Math. Appl., 59(3), 1142-1164. https://doi.org/10.1016/j.camwa.2009.05.015
- Love, A.E.H. (1911), Some Problems of Geodynamics, Cambridge University Press, Cambridge.
- Nowacki, W. (1959), "Some dynamic problems of thermoelasticity", Arch. Mech. Stos., 9, 325-334.
- Povstenko, Y.Z. (2005), "Fractional heat conduction equation and associated thermal stress", J. Therm. Stress., 28(1), 83-102. https://doi.org/10.1080/014957390523741
- Rakshit, M. and Mukhopadhyay, B. (2007), "A two dimensional thermoviscoelastic problem due to instantaneous point heat source", Math. Comput. Modell., 46(11-12), 1388-1397. https://doi.org/10.1016/j.mcm.2006.11.036
- Said, S.M. and Othman, M.I.A. (2016), "Wave propagation in a two temperature fiber reinforced magnetothermoelastic medium with three phase lag model", Struct. Eng. Mech., 57(2), 201-220. https://doi.org/10.12989/sem.2016.57.2.201
- Sarkar, N., Atwa, S.Y. and Othman, M.I.A. (2016), "The effect of hydrostatic initial stress on the plane waves in a fiber reinforced magneto-thermoelastic medium with fractional derivative heat transfer", Int. Appl. Mech., 52(2), 203-216. https://doi.org/10.1007/s10778-016-0748-4
- Sengupta, P.R. and Nath, S. (2001), "Surface waves in fiber reinforced anisotropic elastic media", Sadhana, 26(4), 363-370. https://doi.org/10.1007/BF02703405
- Sherief, H.H., El-Sayed, A.M. and El-Latief, A.M. (2010), "Fractional order theory of thermoelasticity", Int. J. Sol. Struct., 47(2), 269-275. https://doi.org/10.1016/j.ijsolstr.2009.09.034
- Singh, B. and Singh, S.J. (2004), "Surface waves at the free surface of a fiber reinforced elastic half-space", Sadhana, 29(3), 249-257. https://doi.org/10.1007/BF02703774
- Yadav, R., Kalkal, K.K. and Deswal, S. (2017), "Two temperature theory of initially stressed electromicrostretch medium without energy dissipation", Microsyst. Technol., 23(10), 4931-4940. https://doi.org/10.1007/s00542-017-3323-y
- Youssef, H. (2013), "State-space approach to fractional order two-temperature generalized thermoelastic medium subjected to moving heat source", Mech. Adv. Mater. Struct., 20(1), 47-60. https://doi.org/10.1080/15376494.2011.581414