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Reflection of plane waves from a free surface of a generalized magneto-thermoelastic solid half-space with diffusion

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Green-Naghdi’s theory of generalized thermoelasticity is applied to study the reflection of P and SV waves from the free surface of a magneto-thermoelastic solid half-space. The boundary conditions are satisfied by appropriate potential functions to obtain a system of four non-homogeneous equations in reflection coefficients. The reflection coefficients depend upon the angle of incidence of P and SV waves, magnetic field, thermal field, diffusion parameters and other material constants. The numerical values of the modulus of the reflection coefficients are shown graphically with the angle of incidence of P and SV waves. The effect of magnetic field is observed significantly on various reflected waves.
Rocznik
Strony
385--394
Opis fizyczny
Bibliogr. 30 poz., rys.
Twórcy
autor
  • Post Graduate Government College, Department of Mathematics, Chandigarh, India
autor
  • Guru Jambheshwar University of Science and Technology, Department of Mathematics, Hisar, India
autor
  • Guru Jambheshwar University of Science and Technology, Department of Mathematics, Hisar, India
Bibliografia
  • 1. Abd-Alla A.N., Al-Dawy A.S., 2000, The reflection phenomena of SV waves in a generalized thermoelastic medium, International Journal of Mathematics and Mathematical Sciences, 23, 529-546
  • 2. Abo-Dahab S.M., Singh B., 2009, Influences of magnetic field on wave propagation in generalized thermoelastic solid with diffusion, Archive of Mechanics, 61, 121-136
  • 3. Aoudai M., 2006, Variable electrical and thermal conductivity in the theory of generalized thermoelastic diffusion, Zeitschrift f¨ur angewandte Mathematik und Physik, 57, 350-366
  • 4. Aoudai M., 2007, Uniqueness and reciprocity theorems in the theory of generalized thermoelastic diffusion, Journal of Thermal Stresses, 30, 665-678
  • 5. Aoudai M., 2008, Qualitative aspects in the coupled theory of thermoelastic diffusion, Journal of Thermal Stresses, 31, 706-727
  • 6. Biot M.A., 1956, Thermoelasticity and irreversible thermodynamics, Journal of Applied Physics, 27, 249-253
  • 7. Chandrasekharaiah D.S., 1986, Thermoelasticity with second sound: A Review, Applied Mechanics Review, 39, 355-376
  • 8. Choudhary S., Deswal S., 2008, Distributed load in an elastic solid with generalized thermodiffusion, Archive of Mechanics, 61, 139-160
  • 9. Deeswal S., Choudhary S., 2009, Impulsive effect on an elastic solid with generalized thermodiffusion, Journal of Engineering Mathematics, 63, 79-94
  • 10. Green A.E., Lindsay K.A., 1972, Thermoelasticity, Journal of Elasticity, 2, 1-7
  • 11. Green A.E., Naghdi P.M., 1991, A re-examination of basic postulates of thermomechanics, Proceeding of Royal Society London A, 432, 171-194
  • 12. Green A.E., Naghdi P.M., 1993, Thermoelasticity without energy dissipation, Journal of Elasticity, 31, 189-208
  • 13. Hetnarski R.B., Ignaczak J., 1999, Generalized thermoelasticity, Journal of Thermal Stresses, 22, 451-476
  • 14. Ignaczak J., Ostoja-Starzewski M., 2009, Thermoelasticity with Finite Wave Speeds, Oxford University Press
  • 15. Lord H.W., Shulman Y., 1967, A generalized dynamical theory of thermoelasticity, Journal of Mechanics and Physics of Solids, 15, 299-309
  • 16. Nowacki W., 1974, Dynamical problems of thermoelastic diffusion in solids I, II, Bulletin of the Polish Academy of Sciences. Technical Sciences, 22, 55-64, 129-135
  • 17. Nowacki W., 1976, Dynamical problems of diffusion in solids, Engineering Fracture Mechanics, 8, 261-266
  • 18. Othman M.I.A., Atwa S.Y., Farouk R.M., 2009, The effect of diffusion on two dimensional problem of generalized thermoelasticity with Green-Naghdi theory, International Communication in Heat and Mass Transfer, 36, 857-864
  • 19. Oriani A., 1969, Thermo-migration in solid metals, The Journal of Physical Chemistry, 30, 339-351
  • 20. Sharma J.N., Kumar V., Chand D., 2003, Reflection of generalized thermoelastic wave from the boundary of a half space, Journal of Thermal Stresses, 26, 925-942
  • 21. Sherief H.H., Hamza F., Saleh H., 2004, The theory of generalized thermoelastic diffusion, International Journal of Engineering Science, 42, 591-608
  • 22. Singh B., 2005, Reflection of P and SV waves from the free surface of an elastic solid with generalized thermodiffusion, Journal of Earth System and Science, 114, 159-168
  • 23. Singh B., 2006, Reflection of SV waves from the free surface of an elastic solid in generalized thermoelastic diffusion, Journal of Sound and Vibration, 291, 764-778
  • 24. Singh B., 2010, Reflection of plane waves at the free surface of a monoclinic thermoelastic solid half-space, European Journal of Mechanics A/Solids, 29, 911-916
  • 25. Singh B., Yadav A.K., 2012, Reflection of plane waves in a rotating transversely isotropic magneto-thermoelastic solid half-space, Journal of Theoretical and Applied Mechanics, 42, 33-60
  • 26. Singh B., 2013, Propagation of Rayleigh wave in a two-temperature generalized thermoelastic solid half-space, ISRN Geophysics, Article ID 857937, 6 pages
  • 27. Singh B., 2013, Wave propagation in a Green-Naghdi thermoelastic solid with diffusion, International Journal of Thermophysics, 34, 553-566
  • 28. Sinha A.N., Sinha S.B., 1974, Reflection thermoelastic waves at a solid half space with thermal relaxation, Journal of Physics of the Earth, 22, 237-244
  • 29. Sinha S.B., Elsibai K.A., 1996, Reflection of thermoelastic waves at a solid half space with two thermal relaxation times, Journal of Thermal Stresses, 19, 763-777
  • 30. Sinha S.B., Elsibai K.A., 1997, Reflection and refraction of thermoelastic wave at an interface of two semi-infinite media with two thermal relaxation times, Journal of Thermal Stresses, 20, 129-146
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-92a58230-f089-44dd-a1d1-7eca2d71c361
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