Reflection of P-Wave and Sv-Wave in a Generalized Two Temperature Thermoelastic Half-Space

In this work the theory of two temperature generalized thermoelasticity has been used to investigate the problem of reflection of P-wave and SV-wave in a half space when the surface is i) thermally insulated or ii) isothermal. The ratios of the reflection coefficient to that of the incident coefficient for different cases are obtained for P-wave and SV-waves. The results for various cases for the conductive and dynamical temperature have been compared. The results arrived at in the absence of the thermal field (elastic case) have also been compared with those in the existing literature. Finally, the results for various cases have been analyzed and depicted in graphs.

REFERENCES (13)

Achenbach J.D. (2001): Wave Propagation in Elastic Solids. - Amsterdam: North Holland Pub. Co.

Google Scholar

Bassiouny E. and Youssef H.M. (2008): Two-temperature generalized thermoelasticity of finite rod subjected to different types of thermal loading. - Journal of Thermal Stresses, vol.31, pp.233-245.

Google Scholar

Chen P.J., Gurtin M.E. and Williams W.O. (1968): On a theory of heat conduction involving two temperatures. - Z. Angew. Math. Phys., vol.19, pp.614-627.

Google Scholar

Chen P.J., Gurtin M.E. and Williams W.O. (1968): On the thermodynamics of non-simple elastic material with two temperatures. - Z. Angew. Math. Phys., vol.20, pp.107-112.

Google Scholar

Das N.C., Lahiri A., Sarkar S., and Basu S. (2008): Reflection of generalized thermoelastic waves from isothermal and insulated boundaries of a half space. - Department of Mathematics. Jadavpur University. Computers and Mathematics with Applications, vol.56, pp.2795-2805.

Google Scholar

Green A.E. and Lindsay K.A. (1972): Thermoelasticity. - J. Elasticity, vol.2, pp.1-7.

Google Scholar

Green A.E. and Naghdi P.M. (1992): On undamped heat waves in an elastic solid. - J. Thermal Stresses, vol.15, pp.252-264.

Google Scholar

Green A.E. and Naghdi P.M. (1993): Thermoelasticity without energy dissipation. - J. Elasticity, vol.31, pp.189-208.

Google Scholar

Green A.E. and Naghdi P.M. (1996): Thermoelasticity without energy dissipation. - Jour. Therm. Stress. vol.19, pp.267-272.

Google Scholar

10.

Lord H. and Shulman Y. (1967): A generalized dynamic theory of thermoelasticity. - J. Mech. Phys. Solids, vol.15, pp.299-309.

Google Scholar

11.

Suhubi E.S. (1982): A generalized theory on simple thermomechanical materials. - Int. J. Engg. Sci., vol.20, pp.367-371.

Google Scholar

12.

Youssef H.M. (2006): On a theory of two temperature-generalized thermoelasticity. - IMA J. Appl. Math. Phys., vol.71, pp.383-390.

Google Scholar

13.

Youssef H.M. and Al-Harby A. (2007): On the theory of state-space approach of two-temperature generalized thermoelasticity of infinite body with a spherical cavity subjected to different types of thermal loading. - Arc. Appl. Mech., vol.77, pp.675-687.

Google Scholar

Submit your paper

eISSN:	2353-9003
ISSN:	1734-4492