215
Views
18
CrossRef citations to date
0
Altmetric
Articles

Thermal shock response in magneto-thermoelastic orthotropic medium with three-phase-lag model

ORCID Icon, &
Pages 879-897 | Received 16 Feb 2017, Accepted 21 Apr 2017, Published online: 23 May 2017

References

  • Lord HW, Shulman Y. A generalized dynamical theory of thermoelasticity. J Mech Phys Solids. 1967;15:299–309.10.1016/0022-5096(67)90024-5
  • Green AE, Lindsay KA. Thermoelasticity. J Elast. 1972;2:1–7.10.1007/BF00045689
  • Green AE, Naghdi PM. Thermoelasticity without energy dissipation. J Elast. 1993;31:189–208.10.1007/BF00044969
  • Chandrasekharaiah DS. Thermoelasticity with second sound: a review. Appl Mech Rev. 1986;39(3):355–376.10.1115/1.3143705
  • Chandrasekharaiah DS. Hyperbolic thermoelasticity: a review of recent literature. Appl Mech Rev. 1998;51:705–729.10.1115/1.3098984
  • Ignaczak J, Hetnarski RB. Generalized thermoelasticity: mathematical formulation. Encyclopedia of Thermal Stresses. 2014;7:1974–1986.
  • Tzou DY. A unique field approach for heat conduction from macro to micro scales. ASME J Heat Transfer. 1995;117:8–16.10.1115/1.2822329
  • Roychoudhuri SK. On a thermoelastic three-phase-lag model. J Therm Stresses. 2007;30:231–238.10.1080/01495730601130919
  • El-Karamany AS, Ezzat MA. Thermal shock problem in generalized thermo-viscoelasticty under four theories. Int J Eng Sci. 2004;42:649–671.10.1016/j.ijengsci.2003.07.009
  • Sherief HH, El-Maghraby NM, Allam AA. Stochastic thermal shock problem in generalized thermoelasticity. Appl Math Model. 2013;37:762–775.10.1016/j.apm.2012.02.056
  • Ezzat MA, Youssef HM. Three dimensional thermal shock problem of generalized thermoelastic half-space. Appl Math Model. 2010;34:3608–3622.10.1016/j.apm.2010.03.010
  • Wang YZ, Zhang XB, Song XN. A unified generalized thermoelasticity solution for the transient thermal shock problem. Acta Mech. 2012;223:735–743.10.1007/s00707-011-0597-5
  • Ezzat MA, Abd MZ. Elall. Generalized magneto-thermoelasticity with Modified Ohm’s law. Mech Adv Mater Struct. 2010;17:74–84.
  • Wang YZ, Liu D, Wang Q, et al. Thermoelastic behavior of elastic media with temperature-dependent properties under transient thermal shock. J Therm Stresses. 2016;39(4):460–473.10.1080/01495739.2016.1158603
  • Baksi A, Bera RK, Debnath L. A study of magneto-thermoelastic problems with thermal relaxation and heat sources in a three dimensional infinite rotating elastic medium. Int J Eng Sci. 2005;43(19–20):1419–1434.10.1016/j.ijengsci.2005.08.002
  • Said SM. Influence of gravity on generalized magneto-thermoelastic medium for three-phase -lag model. J Comput Appl Math. 2016;291:142–157.10.1016/j.cam.2014.12.016
  • Othman MIA, Hasona WM, Mansour NT. The effect of magnetic field on generalized thermoelastic medium with two temperature under three phase lag model. Multidiscipline Model Mater Struct. 2015;11(4):544–557.10.1108/MMMS-03-2015-0011
  • Kalkal KK, Deswal S. Effects of phase lags on three-dimensional wave propagation with temperature-dependent properties. Int J Thermophys. 2014;35(5):952–969.10.1007/s10765-014-1659-4
  • El-Karamany AS, Ezzat MA. On the three-phase-lag linear micropolar thermoelasticity theory. Eur J Mech A Solids. 2013;40:198–208.10.1016/j.euromechsol.2013.01.011
  • El-Karamany AS, Ezzat MA. On the two-temperature green–naghdi thermoelasticity theories. J Therm Stresses. 2011;34(12):1207–1226.10.1080/01495739.2011.608313
  • Ezzat MA, El-Karamany AS, Fayik MA. Fractional order theory in thermoelastic solid with three-phase-lag heat transfer. Arch Appl Mech. 2012;82(4):557–572.10.1007/s00419-011-0572-6
  • Ezzat MA, El-Karamany AS, Ezzat SM. Two temperature theory in magneto-thermoelasticity with fractional order dual-phase-lag heat transfer. Nucl Eng Des. 2012;252:267–277.10.1016/j.nucengdes.2012.06.012
  • Said SM, Othman MIA. Effects of gravitational and hydrostatic initial stress on a two-temperature fiber-reinforced thermoelastic medium for three-phase-lag. J Solid Mech. 2016;8(4):806–822.
  • Othman MIA, Said SM. 2D problem of magneto-thermoelasticity fiber-reinforced medium under temperature dependent properties with three-phase-lag model. Meccanica. 2014;49(5):1225–1241.10.1007/s11012-014-9879-z
  • Shaw S, Mukhopadhyay B. Moving heat source response in micropolar half space with two temperature theory. Continuum Mech. Thermodyn. 2013;25(2–4):523–535.10.1007/s00161-012-0284-3
  • Biswas S, Mukhopadhyay B, Shaw S. Rayleigh surface wave propagation in orthotropic thermoelastic solids under three-phase-lag model. J Therm Stresses. 2017;40(4):403–419.10.1080/01495739.2017.1283971
  • Hawwa MA, Nayfeh AH. The general problem of thermoelastic waves in anisotropic periodically laminated composites. Compos Eng. 1995;5(12):1499–1517.10.1016/0961-9526(95)00087-4

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.