Thermoelastic waves at an interface between two solid half-spaces under hydrostatic initial stress

• Autorzy: Singh B. , Singh J. , Ailawalia P.
• Języki publikacji: EN

Abstrakty

EN

A model of two semi-infinite half-spaces of different thermoelastic solids is considered in welded contact under hydrostatic initial stress. The appropriate boundary conditions are satisfied at the interface to obtain the reflection and refraction coefficients of various reflected and refracted waves during incidence of the quasi-thermal wave. A particular numerical example is considered to show the effect of hydrostatic initial stress on these coefficients for a certain range of the angle of incidence.

Słowa kluczowe

EN

thermoelasticdity; hydrostatic initial stress; reflection; refraction; relaxation time

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2010
• Tom: Vol. 62, nr 3
• Strony: 177--193
• Opis fizyczny: Bibliogr. 29 poz.

Twórcy

autor

Singh B.

autor

Singh J.

autor

Ailawalia P.

• Department of Mathematics Government College, India,

Bibliografia

• 1. P. CHADWICK, Thennoelasticily: the dynamic theory, [in:] Progress in Solid Mechanics R. HILL & I.N'. SNEDDON [Eds.], Vol. I, pp. 263-328. North-Holland, Amsterdam 1960.
• 2. H.W. LORD, Y. SHULMAN, A generalized dynamical theory of thermoelasticity, J. Mech. Phys. Solids, 15; 299-309, 19G7.
• 3. A.E. GREEN, K.A. LINDSAY, Thermodasticity, J. Elasticity, 2, 1-7, 1971.
• 4. D.S. CHANDRASEKHARAIAH, Thermoelasticity with second sound: a review, Appl. Mech. Rev., 39, 355-376, 1986-
• 5. R.B. HETNARSKI, J. IGNACZAK, Generalized Thermoelasticity, J. Thermal Stresses, 22, 451-476, 1999.
• 6. H. DERESIEWICZ, Effect of boundaries on waves in a thermoelastic solid, ,]. Mech. Phys. Solids, 8, 164-172, 1960.
• 7. A.N. SINHA, S.B. SINHA, Reflection of thermodastic waves at a solid half-space with thermal relaxation, J. Phys. Earth, 22, 237-244, 1974.
• 8. S.B. SINHA, K.A. ELSIBAI, Reflection of thermoelastic waves at a solid half-space with two relaxation times, J. Thermal Stresses, 19, 763-777, 1966.
• 9. A.N ABD-ALLA, Relaxation effects on re/lection of generalized magneio-thermoelasiic waves, Mech. Res. Comm., 27, 591-600, 2000.
• 10. B SlNGH, Reflection of plane sound wave from a micropolar generalized thermoelastic solid half-space, J. Sound and Vibration, 235, 685-696, 2000.
• 11. J.N. SHARMA, V. KUMAR, D. CHAND, Reflection of generalized thermoelastic waves from the boundary of a half-space, J. Thermal Stresses, 26, 925-942, 2003.
• 12. S.B. SINHA, K.A ELSIBAI, Reflection and refraction of thermoelastic waves at an interface of two semi-infinite media with two relaxation times, J. Thermal Stresses, 20, 129-146, 1996.
• 13. B. SINGH, Reflection of thermo-wscoelastic waves from free surface in the presence of magnetic field, Proc. Nat. Acad. Sci., India, 72A II, 109-120, 2002.
• 14. A.N ABD-ALLA, A.A. YAHIA, S.M. ABO-DABAII, On reflection of the generalized magneto-thermo'Viscoelastic plane waves, Chaos, Solitons Fractals, 16, 211-231, 2003.
• 15. B. SINGH, Reflection of SV waves from the free surface of an elastic solid in generalized thermoelastic diffusion, J. Sound and Vibration, 291. 764-778, 2006.
• 16. Y.Q. SONG, Y.C. ZHANG, H.Y. XU, B.H. Lu, Magneto-thermoetastic wave •propagation at the interface between two micropolar viscoelastic media, Appl. Math. Comp., 176, 785-802, 2006.
• 17. B. SINGH, Wave propagation in a generalized thermoelastic material with voids, Appl. Math. Comp., 189, 698-709, 2007.
• 18. PL. KUMAR, M. SINGH, Reflection/transmission of plane waves at an imperfectly bonded interface of two orthotropic generalized thermoelast,ic half space, Mat. Sci. Engg., 472, 83-96, 2008.
• 19. M.I.A. OTHMAN, YAQIN SONG, Reflection of magneto-thermoelastic waves with two relaxation times and temperature dependent elastic module, Applied Mathematical Modelling, 32, 483-500, 2008.
• 20. M.A. BlOT, Mechanics of incremental deformations, John Wiley and Sons, Inc., New York 1965.
• 21. A. CHATTOPADHYAY, S. BOSE, M. CHAKRABORTY, Reflection of elastic waves under initial stress at a free surface, J. Acoust. Soc. Am., 72, 255-263, 1982.
• 22. R.S. SIDHU, S.J. SINGH, Comments on "Reflection of elastic waves under initial stress at a free surface, J. Acoust. Soc. Am., 72, 255-263, 1982.; J. Acoust. Soc. Am., 74, 1640-1642; 1983.
• 23. S. DEY, N. ROY, A. DUTTA, Reflection and refraction of P'-waves under initial stresses at an interface, Indian J. Pure Appl. Math-, 16, 1051-1071, 1985.
• 24. M.M. SELIM, Reflection of plane waves at free surface of an initially stressed dissipative medium, Proceedings of World Academy of Sciences, Engineering and Technology, Vol. 30, ISSN 13070-6884, 2008.
• 25. A. MONTANARO, On singular surface in isotropic linear thermoelasticity with initial stress, j. Acoust. Soc. Arn., 106; 1586-1588, 1999.
• 26. B. SINGH, A. KUMAR, J. SINGH, Reflection of generalized thermoelastic waves from a solid half-space under hydrostatic initial stress, Applied Mathematics and Computation. 177, 170-177, 2006.
• 27. B. SINGH, Effect of hydrostatic initial stresses on waves in a thermoelastic solid half-space, Applied Mathematics and Computation, 198, 494-505, 2008.
• 28. M.I.A. OTHMAN, Y. SONG, Reflection of plane waves from an elastic solid half-space under hydrostatic initial stress without energy dissipation, International Journal Solids and Structures, 44, 5651-5664, 2007.
• 29. W.H. WEISKOPF, Stresses m soils under a foundation, Journal of Franklin Institute, 239. 445-450, 1945.