Table of Contents 
ISRN Geophysics
Volume 2013, Article ID 857937, 6 pages
http://dx.doi.org/10.1155/2013/857937
Research Article

Propagation of Rayleigh Wave in a Two-Temperature Generalized Thermoelastic Solid Half-Space

Baljeet Singh

Department of Mathematics, Post Graduate Government College, Sector 11, Chandigarh 160011, India

Received 8 December 2012; Accepted 3 January 2013

Academic Editors: Y.-J. Chuo, D. Kass, and X. Perez-Campos

Copyright © 2013 Baljeet Singh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. H. W. Lord and Y. Shulman, “A generalized dynamical theory of thermoelasticity,” Journal of the Mechanics and Physics of Solids, vol. 15, no. 5, pp. 299–309, 1967. View at Google Scholar · View at Scopus
  2. A. E. Green and K. A. Lindsay, “Thermoelasticity,” Journal of Elasticity, vol. 2, no. 1, pp. 1–7, 1972. View at Publisher · View at Google Scholar · View at Scopus
  3. J. Ignaczak and M. Ostoja-Starzewski, Thermoelasticity with Finite Wave Speeds, Oxford University Press, Oxford, UK, 2009.
  4. R. B. Hetnarski and J. Ignaczak, “Generalized thermoelasticity,” Journal of Thermal Stresses, vol. 22, no. 4, pp. 451–476, 1999. View at Google Scholar · View at Scopus
  5. H. Deresiewicz, “Effect of boundaries on waves in a thermoelastic solid: reflexion of plane waves from a plane boundary,” Journal of the Mechanics and Physics of Solids, vol. 8, no. 3, pp. 164–172, 1960. View at Google Scholar · View at Scopus
  6. A. N. Sinha and S. B. Sinha, “Reflection of thermoelastic waves at a solid half-space with thermal relaxation,” Journal of Physics of the Earth, vol. 22, no. 2, pp. 237–244, 1974. View at Google Scholar · View at Scopus
  7. S. B. Sinha and K. A. Elsibai, “Reflection of thermoelastic waves at a solid half-space with two relaxation times,” Journal of Thermal Stresses, vol. 19, no. 8, pp. 749–762, 1996. View at Google Scholar · View at Scopus
  8. S. B. Sinha and K. A. Elsibai, “Reflection and refraction of thermoelastic waves at an interface of two semi-infinite media with two relaxation times,” Journal of Thermal Stresses, vol. 20, no. 2, pp. 129–145, 1997. View at Google Scholar · View at Scopus
  9. J. N. Sharma, V. Kumar, and D. Chand, “Reflection of generalized thermoelastic waves from the boundary of a half-space,” Journal of Thermal Stresses, vol. 26, no. 10, pp. 925–942, 2003. View at Publisher · View at Google Scholar · View at Scopus
  10. M. I. A. Othman and Y. Song, “Reflection of plane waves from an elastic solid half-space under hydrostatic initial stress without energy dissipation,” International Journal of Solids and Structures, vol. 44, no. 17, pp. 5651–5664, 2007. View at Publisher · View at Google Scholar · View at Scopus
  11. B. Singh, “Effect of hydrostatic initial stresses on waves in a thermoelastic solid half-space,” Applied Mathematics and Computation, vol. 198, no. 2, pp. 494–505, 2008. View at Publisher · View at Google Scholar · View at Scopus
  12. B. Singh, “Reflection of plane waves at the free surface of a monoclinic thermoelastic solid half-space,” European Journal of Mechanics, A/Solids, vol. 29, no. 5, pp. 911–916, 2010. View at Publisher · View at Google Scholar · View at Scopus
  13. M. E. Gurtin and W. O. Williams, “On the Clausius-Duhem inequality,” Zeitschrift für angewandte Mathematik und Physik, vol. 17, no. 5, pp. 626–633, 1966. View at Publisher · View at Google Scholar · View at Scopus
  14. M. E. Gurtin and W. O. Williams, “An axiomatic foundation for continuum thermodynamics,” Archive for Rational Mechanics and Analysis, vol. 26, no. 2, pp. 83–117, 1967. View at Publisher · View at Google Scholar · View at Scopus
  15. P. J. Chen and M. E. Gurtin, “On a theory of heat conduction involving two temperatures,” Zeitschrift für angewandte Mathematik und Physik ZAMP, vol. 19, no. 4, pp. 614–627, 1968. View at Publisher · View at Google Scholar · View at Scopus
  16. P. J. Chen, M. E. Gurtin, and W. O. Williams, “A note on non-simple heat conduction,” Zeitschrift für angewandte Mathematik und Physik, vol. 19, no. 6, pp. 969–970, 1968. View at Publisher · View at Google Scholar
  17. P. J. Chen, M. E. Gurtin, and W. O. Williams, “On the thermodynamics of non-simple elastic materials with two temperatures,” Zeitschrift für angewandte Mathematik und Physik, vol. 20, no. 1, pp. 107–112, 1969. View at Publisher · View at Google Scholar · View at Scopus
  18. W. E. Warren and P. J. Chen, “Wave propagation in the two temperature theory of thermoelasticity,” Acta Mechanica, vol. 16, no. 1-2, pp. 21–33, 1973. View at Publisher · View at Google Scholar · View at Scopus
  19. B. A. Boley and I. S. Tolins, “Transient coupled thermoplastic boundary value problems in the half-space,” Journal of Applied Mechanics, vol. 29, no. 4, pp. 637–646, 1962. View at Publisher · View at Google Scholar
  20. P. Puri and P. M. Jordan, “On the propagation of harmonic plane waves under the two-temperature theory,” International Journal of Engineering Science, vol. 44, pp. 1113–1126, 2006. View at Publisher · View at Google Scholar
  21. R. Quintanilla and P. M. Jordan, “A note on the two temperature theory with dual-phase-lag delay: some exact solutions,” Mechanics Research Communications, vol. 36, no. 7, pp. 796–803, 2009. View at Publisher · View at Google Scholar · View at Scopus
  22. H. M. Youssef, “Theory of two-temperature-generalized thermoelasticity,” IMA Journal of Applied Mathematics, vol. 71, no. 3, pp. 383–390, 2006. View at Publisher · View at Google Scholar · View at Scopus
  23. R. Kumar and S. Mukhopadhyay, “Effects of thermal relaxation time on plane wave propagation under two-temperature thermoelasticity,” International Journal of Engineering Science, vol. 48, no. 2, pp. 128–139, 2010. View at Publisher · View at Google Scholar · View at Scopus
  24. A. Magaña and R. Quintanilla, “Uniqueness and growth of solutions in two-temperature generalized thermoelastic theories,” Mathematics and Mechanics of Solids, vol. 14, no. 7, pp. 622–634, 2009. View at Publisher · View at Google Scholar · View at Scopus
  25. H. M. Youssef, “Theory of two-temperature thermoelasticity without energy dissipation,” Journal of Thermal Stresses, vol. 34, no. 2, pp. 138–146, 2011. View at Publisher · View at Google Scholar · View at Scopus