48
Views
2
CrossRef citations to date
0
Altmetric
Articles

Reflection and transmission between an orthotropic thermoelastic half-space and an initially stressed orthotropic rotating thermoelastic diffusive half-space

, , &
Pages 739-761 | Received 18 Sep 2018, Accepted 02 May 2019, Published online: 21 Apr 2020

References

  • H. W. Lord and Y. Shulman, “A generalized dynamical theory of thermoelasticity,” J. Mech. Phys. Solid, vol. 15, no. 5, pp. 299–309, 1967. DOI: 10.1016/0022-5096(67)90024-5.
  • A. E. Green and K. A. Lindsay, “Thermoelasticity,” J Elasticity, vol. 2, no. 1, pp. 1–7, 1972. DOI: 10.1007/BF00045689.
  • S. B. Sinha and K. A. Elsibai, “Reflection of thermoelastic waves at a solid half-space with two relaxation times,” J. Therm. Stress, vol. 19, no. 8, pp. 749–762, 1996. DOI: 10.1080/01495739608946205.
  • J. N. Sharma, V. Kumar, and D. Chand, “Reflection of generalized thermoelastic waves from the boundary of a half-space,” J. Therm. Stress, vol. 26, no. 10, pp. 925–942, 2003. DOI: 10.1080/01495730306342.
  • M. Ostoja-Starzewski, “Thermoelastic waves in a helix with parabolic or hyperbolic heat conduction,” J. Therm. Stress, vol. 26, no. 11-12, pp. 1205–1219, 2003. DOI: 10.1080/714050881.
  • M. Schoenberg and D. Censor, “Elastic waves in rotating media,” Quart. Appl. Math, vol. 31, no. 1, pp. 115–125, 1973. DOI: 10.1090/qam/99708.
  • M. Sinha and R. K. Bera, “Eigenvalue approach to study the effect of rotation and relaxation time in generalized thermoelasticity,” Comput. Math. Application, vol. 46, no. 5-6, pp. 783–792, 2003. DOI: 10.1016/S0898-1221(03)90141-6.
  • J. N. Sharma, V. Walia, and S. K. Gupta, “Effect of rotation and thermal relaxation on Rayleigh waves in piezothermoelastic half-space,” Int. J. Mech. Sci, vol. 50, no. 3, pp. 433–444, 2008. DOI: 10.1016/j.ijmecsci.2007.10.001.
  • F. S. Bayones and A. M. Abd-Alla, “Eigenvalue approach to coupled thermoelasticity in a rotating isotropic medium,” Results Phys, vol. 8, pp. 7–15, 2018. DOI: 10.1016/j.rinp.2017.09.021.
  • M. A. Biot, Mechanics of Incremental Deformation,” Wiley, New York, USA, 1965,
  • A. Montanaro, “On singular surfaces in isotropic linear thermoelasticity with initial stress,” J. Acoustical soc. America, vol. 106, no. 3, pp. 1586–1588, 1999. DOI: 10.1121/1.427154.
  • P. Ailawalia, S. Kumar, and G. Khurana, “Deformation in a generalized thermoelastic medium with hydrostatic initial stress subjected to different sources,” Mech. mech. Eng, vol. 13, pp. 5–24, 2008.
  • R. Yadav, S. Deswal, and K. K. Kalkal, “Propagation of waves in an initially stressed generalized electromicrostretch thermoelastic medium with temperature-dependent properties under the effect of rotation,” J. Therm. Stress, vol. 40, no. 3, pp. 281–301, 2017. DOI: 10.1080/01495739.2016.1266452.
  • Y. S. Podstrigach, “Differential equations of the problem of thermodiffusion in isotropic deformable solids,” Doklady Acad. Sci. Ukrainian SSR, vol. 2, pp. 169–172, 1961.
  • Y. S. Podstrigach and V. S. Pavlina, “Fundamental equations of the plane thermodiffusion problems,” Appl. Mech. (Prikl. Mech.), vol. 1, pp. 101–106, 1965.
  • Y. S. Podstrigach and V. S. Pavlina, “Differential equations of thermodynamic processes in n-component solid solutions,” Mater Sci, vol. 1, no. 4, pp. 259–264, 1966. DOI: 10.1007/BF00714880.
  • W. Nowacki, “Dynamical problems of thermodiffusion in solids I,” Bull. Acad. Pol. Sci. Ser. Sci. Tech, vol. 22, pp. 55–64, 1974.
  • W. Nowacki, “Dynamical problems of thermodiffusion in solids II,” Bull. Acad. Pol. Sci. Ser. Sci. Tech, vol. 22, pp. 129–135, 1974.
  • W. Nowacki, “Dynamical problems of thermodiffusion in solids III,” Bull. Acad. Pol. Sci. Ser. Sci. Tech, vol. 22, pp. 257–266, 1974.
  • H. H. Sherief, F. Hamza, and H. Saleh, “The theory of generalized thermoelastic diffusion,” Int. J. Eng. Sci, vol. 42, no. 5-6, pp. 591–608, 2004. DOI: 10.1016/j.ijengsci.2003.05.001.
  • R. Kumar and T. Kansal, “Propagation of Lamb waves in transversely isotropic thermoelastic diffusive plate,” Int. J. Solid. Struct, vol. 45, no. 22-23, pp. 5890–5913, 2008. DOI: 10.1016/j.ijsolstr.2008.07.005.
  • S. Deswal and S. Choudhary, “Impulsive effect on an elastic solid with generalized thermodiffusion,” J Eng Math, vol. 63, no. 1, pp. 79–94, 2009. DOI: 10.1007/s10665-008-9249-8.
  • S. Deswal and K. Kalkal, “A two-dimensional generalized electromagneto-thermoviscoelastic problem for a half-space with diffusion,” Int. J. Therm. Sci, vol. 50, no. 5, pp. 749–759, 2011. DOI: 10.1016/j.ijthermalsci.2010.11.016.
  • M. N. M. Allam, S. Z. Rida, S. M. Abo-Dahab, R. A. Mohamed, and A. A. Kilany, “GL model on reflection of P and SV waves from the free surface of thermoelastic diffusion solid under influence of the electromagnetic field and initial stress,” J. Therm. Stress, vol. 37, no. 4, pp. 471–487, 2014. DOI: 10.1080/01495739.2013.870861.
  • K. K. Kalkal and S. Deswal, “Analysis of vibrations in fractional order magneto-thermo-viscoelasticity with diffusion,” J. mech, vol. 30, no. 4, pp. 383–394, 2014. DOI: 10.1017/jmech.2014.32.
  • S. Deswal, K. K. Kalkal, and S. S. Sheoran, “Axi-symmetric generalized thermoelastic diffusion problem with two-temperature and initial stress under fractional order heat conduction,” Physica B, vol. 496, pp. 57–68, 2016. DOI: 10.1016/j.physb.2016.05.008.
  • M. I. A. Othman, M. I. M. Hilal, and Y. D. Elmaklizi, “The effect of gravity and diffusion on micropolar thermoelasticity with temperature-dependent elastic medium under G-N theory,” Mech. mech. Eng, vol. 21, pp. 657–677, 2017.
  • R. D. Borcherdt, “Reflection and refraction of general P- and type-I S-waves in elastic and anelastic solids,” Geo. J. roy. Astronomical soc., vol. 70, no. 3, pp. 621–638, 1982. DOI: 10.1111/j.1365-246X.1982.tb05976.x.
  • J. D. Achenbach, Wave Propagation in Elastic Solids. North-Holland, New York: Elsevier, 1973.
  • R. Kumar and T. Kansal, “Reflection and refraction of plane waves at the interface of an elastic solid half-space and a thermoelastic diffusive solid half-space,” Arch. Mech, vol. 64, pp. 293–317, 2012.
  • R. Kumar and M. Singh, “Effect of rotation and imperfection on reflection and transmission of plane waves in anisotropic generalized thermoelastic media,” J. Sound Vib, vol. 324, no. 3-5, pp. 773–797, 2009. DOI: 10.1016/j.jsv.2009.02.024.
  • R. Kumar and M. Singh, “Reflection/transmission of plane waves at an imperfectly bonded interface of two orthotropic generalized thermoelastic half-spaces,” J. Sound Vib, vol. 472, no. 1-2, pp. 83–96, 2008. DOI: 10.1016/j.msea.2007.03.015.
  • R. Kumar and V. Chawla, “Fundamental solution for the plane problem in magnetothermoelastic diffision medium,” CMST, vol. 19, no. 4, pp. 195–207, 2013. DOI: 10.12921/cmst.2013.19.4.195-207.
  • R. S. Dhaliwal and A. Singh, Dynamic Coupled Thermoelasticity. New Delhi, India: Hindustan Publication Corporation, 1980.

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.