References
- Green AE, Naghdi PM. Thermoelasticity without energy-dissipation. J. Elast. Jun 1993;31:189–208.10.1007/BF00044969
- Green AE, Naghdi PM. A re-examination of the basic postulates of thermomechanics. Proc. R. Soc. London Ser. A. 1991;432:171–194.10.1098/rspa.1991.0012
- Hetnarski RB, Eslami MR. Thermal stresses–advanced theory and applications: advanced theory and applications. Vol. 158. New York (NY): Springer; 2008.
- Chen PJ, Gurtin ME. On a theory of heat conduction involving two temperatures. Zeitschrift für Angewandte Mathematik und Physik (ZAMP). 1968;19:614–627.10.1007/BF01594969
- Chen PJ, Williams WO. A note on non-simple heat conduction. Zeitschrift für angewandte Mathematik und Physik ZAMP. 1968;19:969–970.10.1007/BF01602278
- 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;20:107–112.10.1007/BF01591120
- Boley BA, Tolins IS. Transient coupled thermoelastic boundary value problems in the half-space. J. Appl. Mech. 1962;29:637–646.10.1115/1.3640647
- Warren WE, Chen PJ. Wave propagation in the two temperature theory of thermoelasticity. Acta Mech. 1973;16:21–33.10.1007/BF01177123
- Youssef HM. Theory of two-temperature-generalized thermoelasticity. J. Appl. Math. 2006;71:383–390.
- Youssef HM, Al-Harby AH. State-space approach of two-temperature generalized thermoelasticity of infinite body with a spherical cavity subjected to different types of thermal loading. Arch. Appl. Mech. 2007;77:675–687.10.1007/s00419-007-0120-6
- Youssef HM, Al-Lehaibi EA. State-space approach of two-temperature generalized thermoelasticity of one-dimensional problem. Int. J. Solids Struct. 2007;44:1550–1562.10.1016/j.ijsolstr.2006.06.035
- Bassiouny E, Youssef HM. Two-temperature generalized thermopiezoelasticity of finite rod subjected to different types of thermal loading. J. Therm. Stresses. 2008;31:233–245.10.1080/01495730701737902
- Youssef HM. A two-temperature generalized thermoelastic medium subjected to a moving heat source and ramp-type heating: a state-space approach. J. Mech. Mater. Struct. 2009;4:1637–1649.
- Youssef HM. Two-temperature generalized thermoelastic infinite medium with cylindrical cavity subjected to moving heat source. Arch. Appl. Mech. 2010;80:1213–1224.10.1007/s00419-009-0359-1
- Youssef HM, El-Bary AA. Two-temperature generalized thermoelasticity with variable thermal conductivity. J. Therm. Stresses. 2010;33:187–201.10.1080/01495730903454793
- Youssef HM. Two-dimensional thermal shock problem of fractional order generalized thermoelasticity. Acta Mech. 2012;223:1219–1231.10.1007/s00707-012-0627-y
- Youssef HM. State-space approach to two-temperature generalized thermoelasticity without energy dissipation of medium subjected to moving heat source. Appl. Math. Mech. English Ed. 2013;34:63–74.10.1007/s10483-013-1653-7
- Youssef HM. State-space approach to fractional order two-temperature generalized thermoelastic medium subjected to moving heat source. Mech. Adv. Mater. Struct. 2013;20:47–60.10.1080/15376494.2011.581414
- Ezzat MA, Youssef HM. Two-temperature theory in three-dimensional problem for thermoelastic half space subjected to ramp type heating. Mech. Adv. Mater. Struct. 2014;21:293–304.10.1080/15376494.2012.680675
- Youssef HM. Theory of two-temperature thermoelasticity without energy dissipation. J. Therm. Stresses. 2011;34:138–146.10.1080/01495739.2010.511941
- Banik S, Kanoria M. Two-temperature generalized thermoelastic interactions in an infinite body with a spherical cavity. Int. J. Thermophys. 2011;32:1247–1270.10.1007/s10765-011-1002-2
- Bassiouny E, Youssef HM. Thermo-elastic properties of thin ceramic layers subjected to thermal loadings. J. Thermoelast. 2013;1:4–12.
- Kumar R, Chawla V. Wave propagation at the boundary surface of elastic layer overlaying a thermoelastic without energy dissipation half-space. J. Solid Mech. 2010;2:363–375.
- Bala K. A review on two-temperature thermoelasticity. Int. J. Mod. Eng. Res. 2012;2:236–239.
- Singh B, Bala K. Propagation of waves in a two-temperature rotating thermoelastic solid half-space without energy dissipation. Appl. Math. 2012;3:1903–1909.
- Abbas IA. Two-temperature green and Naghdi model on thermoelastc interaction in an infinite fibre-reinforced anisotropic plate containing a circular hole. J. Theor. Appl. Mech. 2013;43:79–94.
- Atwa SY, Jahangir A. Two-temperature effects on plane waves in generalized thermo-microstretch elastic solid. Int. J. Thermophys. 2014;35:175–193.
- Singh B. Propagation of Rayleigh wave in a two-temperature generalized thermoelastic solid half-space. ISRN Geophys. 2013;2013:1–6.
- Singh B, Bala K. On Rayleigh wave in two-temperature generalized thermoelastic medium without energy dissipation. Appl. Math. 2013;4:107–112.
- Wang Y-Z, Zhang X-B, Song X-N. A generalized theory of thermoelasticity based on thermomass and its uniqueness theorem. Acta Mech. 2014;225:797–808.
- Abbas IA, Kumar R, Singh Reen L. Response of thermal source in transversely isotropic thermoelastic materials without energy dissipation and with two-temperature. Can. J. Phys. 2014;10:484–490.
- Atwa S. Generalized magneto-thermoelasticity with two temperature and initial stress under Green-Naghdi theory. Appl. Math. Modell. 2014. doi:10.1016/j.apm.2014.04.023.
- Carme Leseduarte M, Quintanilla R. On the backward in time problem for the thermoelasticity with two temperatures. Discrete Cont. Dyn. Syst. Ser. B. 2014;19:679–695.
- Kumar R, Sharma KD, Garg SK. Effect of two temperatures on reflection coefficient in micropolar thermoelastic with and without energy dissipation media. Adv. Acoust. Vibr. 2014;2014:1–11.
- Marotti de Sciarra F, Salerno M. On thermodynamic functions in thermoelasticity without energy dissipation. Eur. J. Mech. A. Solids 2014;46:84–95.10.1016/j.euromechsol.2014.02.007
- El-Karamany AS, Ezzat MA. On the two-temperature Green–Naghdi thermoelasticity theories. J. Therm. Stresses. 2011;34:1207–1226.10.1080/01495739.2011.608313
- Bahar LY, Hetnarski RB. State space approach to thermoelasticity. J. Therm. Stresses. 1978;1:135–145.10.1080/01495737808926936
- Tzou DY. Macro-to micro-scale heat transfer: the lagging behavior. London: CRC Press; 1996.
- Roy Choudhuri SK, Bandyopadhyay N. Radially symmetric thermo-elastic wave propagation without energy dissipation in an infinitely extended thin plate with a circular hole. Appl. Math. Comput. Sci. 2006;179:267–281.10.1016/j.amc.2005.11.097
- Chandrasekharaiah DS, Srinath KS. Axisymmetric thermoelastic interactions without energy dissipation in an unbounded body with cylindrical cavity. J. Elast. 1997;46:19–31.10.1023/A:1007333502283