104
Views
10
CrossRef citations to date
0
Altmetric
Original Articles

Propagation of Plane Waves of a Mode-I Crack for a Generalized Thermoelasticity under Influence of Gravity for Different Theories

&
Pages 697-709 | Received 26 Jun 2011, Accepted 02 Apr 2012, Published online: 02 Jun 2014

References

  • W. Nowacki, Thermoelasticity, Addison-Wesley Pub. Co. Inc., London, p. 5, 1958.
  • J. Nowinski, Theory of Thermoelasticity with Applications, Setoff and Noord-hoff International Publishers, Alphenaan den Rijn, p. 826, 1978.
  • M. Biot, Thermoelasticity and irreversible thermodynamics, J. Appl. Phys., vol. 27, pp. 240–253, 1956.
  • H. Lord and Y. Shulman, A generalized dynamical theory of thermoelasticity, J. Mech. Phys. Solid, vol. 15, pp. 299–309, 1967.
  • R. Dhaliwal and H.H. Sherief, Generalized thermoelasticity for an isotropic media, Quart. Appl. Math., vol. 33, pp. 1–8, 1980.
  • H.H. Sherief and R. Dhaliwal, Generalized one-dimensional thermal-shock problem for small times, J. Thermal Stresses, vol. 4, pp. 407–420, 1981.
  • M.I.A. Othman, Lord-Shulman theory under the dependence of the modulus of elasticity on the reference temperature in two-dimensional generalized thermo-elasticity, J. Thermal Stresses, vol. 25, pp. 1027–1045, 2002.
  • I. Müller, The coldness: A universal function in thermoelastic bodies, Arch. Rat. Mech. Anal., vol. 41, pp. 319–332, 1971.
  • A.E. Green and N. Laws, On the entropy production inequality, Arch. Rat. Mech. Anal., vol. 45, pp. 45–47, 1972.
  • A.E., Green and K.A. Lindsay, Thermoelasticity, J. Elasticity, vol. 2, pp. 1–7, 1972.
  • E.S. Şuhubi, Themoelastic Solids in Continuum Physics II, A.C. Eringen, Ed., Academic Press, New York, Chapter 2, 1975.
  • J. Ignaczak, A strong discontinuity wave in thermoelasticity with relaxation times, J. Thermal Stresses, vol. 8, pp. 25–40, 1985.
  • J. Ignaczak, Decomposition theorem for thermoelasticity with finite wave speeds, J. Thermal Stresses, vol. 1, pp. 41–52, 1978.
  • R. Dhaliwal and J. G. Rokne, One-dimensional thermal shock problem with two relaxation times, J. Thermal Stresses, vol. 12, pp. 259–278, 1989.
  • B.K. Datta, Some observation on interactions of Rayleigh waves in an elastic solid medium with the gravity field, Rev. Roumaine Sci. Tech. Sér. Méc. Appl., vol. 31, no. 4, pp. 369–374, 1986.
  • S.C. Das, D.P. Acharya, and P.R. Sengupta, Surface waves in an inhomogeneous elastic medium under the influence of gravity, Rev. Roumaine Sci. Tech. Sér. Méc. Appl., vol. 37, no. 5, pp. 539–552, 1992.
  • A.M. Elnagar, A.M. Abd-Alla, and S.M. Ahmed, Rayleigh waves in a magneto-elastic initially stresses conducting medium with the gravity field, Bull. Cal. Math. Soc., vol. 86, pp. 51–56, 1994.
  • A.M. Abd-Alla, Propagation of Rayleigh waves in an elastic half-space of orthotropic material, Appl. Math. Comput., vol. 99, pp. 61–69, 1999.
  • A.M. Abd-Alla, H.A.H. Hammad, and S.M. Abo-Dahab, Rayleigh waves in a magneto-elastic half-space of orthotropic material under influence of initial stress and gravity field, Appl. Math. Comput., vol. 154, no. 2, pp. 583–597, 2004.
  • R. Dhaliwal, External crack due to thermal effects in an infinite elastic solid with a cylindrical inclusion. In: Thermal Stresses in Server Environments, Plenum Press, New York and London, pp. 665–692, 1980.
  • D. Hasanyan, L. Librescu, Z. Qin, and R. Young, Thermoelastic cracked plates carrying non-stationary electrical current, J. Thermal Stresses, vol. 28, pp. 729–745, 2005.
  • S. Ueda, Thermally induced fracture of a piezoelectric laminate with a crack normal to interfaces, J. Thermal Stresses, vol. 26, pp. 311–323, 2003.
  • A. Elfalaky and A.A. Abdel-Halim, A mode-I crack problem for an infinite space in thermoelasticity, J. Appl. Sci., vol. 6, pp. 598–606, 2006.

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.