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Reflection and refraction of thermoelastic plane waves at an interface between two thermoelastic media without energy dissipation

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EN
Abstrakty
EN
The reflection and refraction of thermoelastic plane waves at an imperfect interface between two dissimilar thermoelastic solid half-spaces has been investigated. The thermoelastic theory without energy dissipation developed by Green Naghdi [18] has been used to study the problem. The amplitude ratios of various reflected and refracted waves are obtained for an imperfect boundary. Particular cases of normal stiffness, transverse stiffness, slip and welded boundaries are discussed. The amplitude ratios are also deduced at the interface of two semi-infinite media (I) Elastic/Thermoelastic without energy dissipation, (II) Thermal Conducting Liquid/Thermoelastic without energy dissipation, (III) Non-viscous Fluid/Thermoelastic without energy dissipation, (IV) Thermal Conducting Liquid/Thermal Conducting Liquid and (V) Elastic/Elastic. It is found that the amplitude ratios of various reflected and refracted waves are affected by the stiffness and thermal properties of the media. The amplitude ratios of reflected waves are also deduced for a special case of stress-free boundary.
Rocznik
Strony
155--185
Opis fizyczny
Bibliogr. 27 poz.
Twórcy
autor
autor
  • Dept. of Mathematics, Kurukshetra University, Kurukshetra - 136 119 India
Bibliografia
  • 1. H. DERESIEWICZ, Effect of boundaries on waves in a thermoelastic solid: Reflexion of plane waves from a plane boundary, J. Mech, Phys. Solids, 8, 164-172, 1960.
  • 2. H. DERESIEWICZ, Corrections and additions: Effect of boundaries on waves in a thermoelastic solid, J. Mech. Phys. Solids, 10, 179-181, 1962.
  • 3. H.W. LORD and Y, SHULMAN, A generalized dynamical theory of thermoelasticity, J. Mech. Phys. Solids, 15, 299-309, 1967.
  • 4. J.P. JONES and J.P. WHITTIER Waves in a flexible bonded interface, J. Appl. Mech., 34, 905-909, 1967.
  • 5. A.E. GREEN and K.A. LINDSAY, Thermoelasticity, J. Elasticity 2, 1, 1-7, 1972.
  • 6. A.N. SINHA and S.B. SINHA, Reflection of thermoelastic waves at a solid half-space with thermal relaxation, J. Phys. Earth, 22, 237-244, 1974.
  • 7. C.E. BEEVERS and J. BREE, A note on wave reflection problems in linear thermoelasticity, J. Math. Phys. Sci., 9, 355-362, 1975
  • 8. G.S. MURTY A theoretical model for the attenuation and dispersion of Stanley waves at the loosely bonded interface of elastic half-space, Phys. Earth and Planetary Interiors, 11, 65-79,1975
  • 9. A.H. NAYFEH and E.M. NASSAR, Simulation of the influence of bonding materials on the dynamic behaviour of laminated composites, J. Appl. Mech., 45, 855-828, 1978.
  • 10. S.I. ROKHLIN, M. HEFETS and M. ROSEN, An elastic interface wave guided by a thin film between two solids, J. Appl. Phys., 51, 3579-3582, 1980.
  • 11. R.S. DHALIWAL and A. SINGH, Dynamical coupled thermoelasticity, Hindustan Publishers, Delhi, 1980.
  • 12. S.I. ROKHLIN, Adhesive joint characterization by ultrasonic surface and interface waves, Adhesive Joints: Formation, Characteristics and Testing. K.L. MITTAL [Ed.], (Plenum, New York) 307-345, 1984.
  • 13. J.M. BAIK and R.B. THOMPSON Ultrasonic scattering from imperfect interfaces a quasi-statzc model, J. Nondestr. EvaL, 4, 177-196, 1984.
  • 14. T.C. ANGEL and J.D. ACHENBACH, Reflection and transmission of elastic waves by a periodic array of crack, J. App. Mech., 52, 33-41, 1985.
  • 15. S.I. ROKHLIN and D. MAROM, Study of adhesive bonds using low-frequency obliquely incident ultrasonic wave, J. Acoust. Soc. Am., 80, 585-590, 1986.
  • 16. PILARSKI and J.L. ROSE) A transverse wave ultrasonic oblique-incidence technique for interface weakness detection in adhesive bonds, J. Appl. Phys., 63, 300-307, 1988.
  • 17. J.N. SHARMA Reflection of thermoelastic waves from the stress-free insulated boundary of an anisotropic half-space, Indian J. Pure Appl. Math, 19, 3, 294-304, 1988.
  • 18. A.E. GREEN and P.M. NAGHDI) Thermoelasticity without energy dissipation, Journal of elasticity, 31, 189-208, 1993.
  • 19. S. B. SINHA and K. A. ELASIBAI, Reflection of thermoelastic waves at a solid half-space with two relaxation times, J. Thermal Stresses, 19, 749-762, 1996.
  • 20. S. B. SINHA and K. A. ELASIBAI, Reflection and Refraction of thermoelastic waves at an interface of two semi-infinite media with two relaxation times, J. Thermal Stresses, 20, 129-145, 1997.
  • 21. A.I. LAVRENTYEV and S.I. ROKHLIN, Ultrasonic spectroscopy of imperfect contact interfaces between a layer and two solids, J. Acoust. Soc. Am., 103, 2, 657 664, 1998.
  • 22. B, SINGH and R. KUMAR, Reflection of plane waves from the flat boundary of a micropolar generalized thermoelastic half-space, Int. J. Engng. Sci., 36. 865-890, 1998.
  • 23. B. SINGH and R. KUMAR, Reflection of plane waves from the flat boundary of a micropolar generalized thermoelastic half-space with stretch, Indian J. Pure Appl. Math., 29, 6, 657-669, 1998.
  • 24. B. SINGH and R. KUMAR, Wave propagation in a generalized thermo-microstretch elastic solid, Int. J. Engng. Sci., 36, 891-912, 2003.
  • 25. ABD-EL-NOUR, N. ABD-ALLA and A.S AMIRA.AL-DAWY, The reflection phenomena of SV-waves in generalized thermoelastic medium, Int. J. Math and Math Sci., 23, 8, 529-546, 2000.
  • 26. B. SINGH, Wave propagation in an anisotropic generalized thermoelastic solid, Indian J. pure Applied Math., 34, 10, 1479-1485. 2003.
  • 27. B. SINGH, Plane waves in a thermally conducting viscous liquid, Sadhana, 29, 1, 27-34, 2004.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT7-0001-0008
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