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Mathematical Problems in Engineering
Volume 2006 (2006), Article ID 87940, 14 pages
http://dx.doi.org/10.1155/MPE/2006/87940

Thermal shock problem of a generalized thermoelastic layered composite material with variable thermal conductivity

1Faculty of Engineering, Umm Al-Qurah University, P.O. Box 5555, Saudi Arabia
2Basic and Applied Science Department, Arab Academy of Science and Technology, P.O. Box 1029, Alexandria, Egypt

Received 30 January 2005; Revised 9 May 2005; Accepted 11 July 2005

Copyright © 2006 H. M. Youssef and A. A. El-Bary. 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. R. S. Dhaliwal and H. H. Sherief, “Generalized thermoelasticity for anisotropic media,” Quarterly of Applied Mathematics, vol. 38, no. 1, pp. 1–8, 1980/1981. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. N. M. El-Maghraby and H. M. Youssef, “State space approach to generalized thermoelastic problem with thermomechanical shock,” Applied Mathematics and Computation, vol. 156, no. 2, pp. 577–586, 2004. View at Google Scholar · View at MathSciNet
  3. S. Erbay and E. Şuhubi, “Longitudinal wave propagation in a generalized thermo-elastic cylinder,” Journal of Thermal Stresses, vol. 9, pp. 279–295, 1986. View at Google Scholar
  4. A. E. Green and N. Laws, “On the entropy production inequality,” Archive for Rational Mechanics and Analysis, vol. 45, no. 1, pp. 47–53, 1972. View at Google Scholar · View at MathSciNet
  5. A. E. Green and K. Lindsay, “Thermoelasticity,” Journal of Elasticity and the Physical Science of Solids, vol. 2, no. 1, pp. 1–7, 1972. View at Google Scholar · View at Zentralblatt MATH
  6. D. P. H. Hasselman and R. A. Heller, Thermal Stresses in Sever Environments, Plenum Press, New York, 1980.
  7. G. Honig and U. Hirdes, “A method for the numerical inversion of Laplace transforms,” Journal of Computational and Applied Mathematics, vol. 10, no. 1, pp. 113–132, 1984. View at Google Scholar · View at MathSciNet
  8. J. Ignaczak, “Decomposition theorem for thermoelasticity with finite wave speeds,” Journal of Thermal Stresses, vol. 1, pp. 41–52, 1978. View at Google Scholar
  9. J. Ignaczak, “A strong discontinuity wave in thermoelasticity with relaxation times,” Journal of Thermal Stresses, vol. 8, no. 1, pp. 25–40, 1985. View at Google Scholar · View at MathSciNet
  10. 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 Zentralblatt MATH
  11. S. Minagawa, “Nonlinear-eigenvalue problem for heat conduction in a one-dimensional coupled thermoelastic-layered composite,” International Journal of Engineering Science, vol. 25, pp. 1337–1342, 1987. View at Google Scholar · View at Zentralblatt MATH
  12. I. Müller, “The coldness, a universal function in thermoelastic bodies,” Archive for Rational Mechanics and Analysis, vol. 41, pp. 319–332, 1971. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. A. Roberts, “On the steady motion of a line load over a coupled thermoelastic half-space subsonic case,” The Quarterly Journal of Mechanics and Applied Mathematics, vol. 25, pp. 497–511, 1972. View at Google Scholar · View at Zentralblatt MATH
  14. E. Şuhubi, “Thermoelastic solids,” in Cont. Phys II, A. C. Eringen, Ed., Academic Press, New York, 1987, chapter 2. View at Google Scholar
  15. Y.-C. Yang and C.-K. Chen, “Thermoelastic transient response of an infinitely long annular cylinder composed of two different materials,” International Journal of Engineering Science, vol. 24, no. 4, pp. 569–581, 1986. View at Google Scholar · View at Zentralblatt MATH
  16. F. Ziegler, “Ebene Wellenausbreitung im Halbraum bei Zufallserregung Spannungs-und Temperaturfeld,” Acta Mechanica, vol. 2, pp. 307–327, 1966 (German). View at Google Scholar