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Reflection of P-wave and SV-wave in a generalized two temperature thermoelastic half-space

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Rocznik
Strony
735--754
Opis fizyczny
Bibliogr. 13 poz., wykr.
Twórcy
autor
  • Department of Mathematics Gargi Memorial Institute of Technology Kolkata-700144, INDIA
autor
  • Department of Mathematics Jadavpur University Kolkata-700032, INDIA
autor
  • Department of Mathematics Jadavpur University Kolkata-700032, INDIA
Bibliografia
  • [1] Achenbach J.D. (2001): Wave Propagation in Elastic Solids. - Amsterdam: North Holland Pub. Co.
  • [2] 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.
  • [3] 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.
  • [4] 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.
  • [5] 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.
  • [6] Green A.E. and Lindsay K.A. (1972): Thermoelasticity. - J. Elasticity, vol.2, pp.1-7.
  • [7] Green A.E. and Naghdi P.M. (1992): On undamped heat waves in an elastic solid. - J. Thermal Stresses, vol.15, pp.252-264.
  • [8] Green A.E. and Naghdi P.M. (1993): Thermoelasticity without energy dissipation. - J. Elasticity, vol.31, pp.189-208.
  • [9] Green A.E. and Naghdi P.M. (1996): Thermoelasticity without energy dissipation. - Jour. Therm. Stress. vol.19, pp.267-272.
  • [10] Lord H. and Shulman Y. (1967): A generalized dynamic theory of thermoelasticity. - J. Mech. Phys. Solids, vol.15, pp.299-309.
  • [11] Suhubi E.S. (1982): A generalized theory on simple thermomechanical materials. - Int. J. Engg. Sci., vol.20, pp.367-371.
  • [12] Youssef H.M. (2006): On a theory of two temperature-generalized thermoelasticity. - IMA J. Appl. Math. Phys., vol.71, pp.383-390.
  • [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.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-b5780943-be6d-4f00-9e54-f8724b827189
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