83
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

Axisymmetric analysis of a thermoelastic isotropic half-space under buried sources in displacement and temperature potentials

, &
Pages 237-254 | Received 26 Jun 2016, Accepted 06 Sep 2016, Published online: 28 Oct 2016

References

  • J. L. Nowinski, Theory of Thermoelasticity with Applications, Sijthoff & Noordhoff International Publishers, Alphen aan den Rijn, Netherlands, Vol. 3, 1978.
  • F. A. Díaz, E. A. Patterson, and J. R. Yates, Application of Thermoelastic Stress Analysis for the Experimental Evaluation of the Effective Stress Intensity Factor, Frattura ed Integrit Strutturale, vol. 25, pp. 109–116, 2013.
  • J. M. Duhamel, Second memoire sur les phenomenes thermo-mecaniques, J. Ec. Polytech.(Paris), vol. 15, pp. 1–57, 1837.
  • M. A. Biot, Thermoelasticity and Irreversible Thermodynamics, J. Appl. Phys., vol. 27, pp. 240–253, 1956.
  • D. E. Carlson, Linear thermoelasticity, in Linear Theories of Elasticity and Thermoelasticity, pp. 297–345, Springer, Berlin, 1973.
  • G. Sheng and X. Wang, Thermoelastic Vibration and Buckling Analysis of Functionally Graded Piezoelectric Cylindrical Shells, Appl. Math. Model., vol. 34, pp. 2630–2643, 2010.
  • Y. Hayati, M. Eskandari-Ghadi, M. Raoofian, M. Rahimian, and A. A. Ardalan, Dynamic Green’s Functions of an Axisymmetric Thermoelastic Half-space by a Method of Potentials, J. Eng. Mech., vol. 139, pp. 1166–1177, 2012.
  • W. Nowacki, Thermoelasticity, Addison-Wesley Publishing Company, Reading, MA, USA, 1962.
  • H. Georgiadis, A. Rigatos, and L. Brock, Thermoelastodynamic Disturbances in a Half-space under the Action of a Buried Thermal/mechanical Line Source, Int. J. Sol. Struct., vol. 36, pp. 3639–3660, 1999.
  • G. Lykotrafitis, H. Georgiadis, and L. Brock, Three-dimensional Thermoelastic Wave Motions in a Half-space under the Action of a Buried Source, Int. J. Sol. Struct., vol. 38, pp. 4857–4878, 2001.
  • G. Liu, K. Xie, and R. Zheng, Model of Nonlinear Coupled Thermo-hydro-elastodynamics Response for a Saturated Poroelastic Medium, Sci. China Ser. E, vol. 52, pp. 2373–2383, 2009.
  • A. Mehrabian and Y. N. Abousleiman, Generalized Biot’s Theory and Mandel’s Problem of Multiple−porosity and Multiple−permeability Poroelasticity, J. Geophys. Res., vol. 119, pp. 2745–2763, 2014.
  • E. Sternberg and E. McDowell, On the Steady-state Thermoelastic Problem for the Half-space, Defense Technical Information Center, Illinois Institute of Technology, Department of Mechanics, United States Office of Naval Research, 1955.
  • M. Eskandari-Ghadi, S. Sture, M. Rahimian, and M. Forati, Thermoelastodynamics with Scalar Potential Functions, J. Eng. Mech., vol. 140, pp. 74–81, 2013.
  • I. N. Sneddon, The Use of Integral Transforms, McGraw-Hill, New York, 1972.
  • M. J. Ablowitz and A. S. Fokas, Complex Variables: Introduction and Applications, Cambridge University Press, UK, 2003.
  • M. Rahimian, M. Eskandari-Ghadi, R. Y. Pak, and A. Khojasteh, Elastodynamic Potential Method for Transversely Isotropic Solid, J. Eng. Mech., vol. 133, pp. 1134–1145, 2007.
  • R. Pak, Asymmetric Wave Propagation in an Elastic Half-space by a Method of Potentials, J. Appl. Mech., vol. 54, pp. 121–126, 1987.
  • R. Rajapakse and Y. Wang, Green’s Functions for Transversely Isotropic Elastic Half Space, J. Eng. Mech., vol. 119, pp. 1724–1746, 1993.
  • N. Das, A. Lahiri, and S. Sarkar, Eigenvalue Approach to Three Dimensional Coupled Thermoelasticity in a Rotating Transversely Isotropic Medium, Tamsui Oxford J. Math. Sci., vol. 25, pp. 237–257, 2009.

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.