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Dispersion of SH waves in a viscoelastic layer imperfectly bonded with a couple stress substrate

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Języki publikacji
EN
Abstrakty
EN
The paper deals with propagation of SH waves in a viscoelastic layer over a couple stress substrate with imperfect bonding at the interface. A dispersion equation of SH waves in a viscoelastic layer overlying the couple stress substrate with an imperfect interface between them has been obtained. Dispersion equations for propagation of SH waves with perfectly bonded interface and slippage interface between two media are also obtained as particular cases. Effects of the degree of imperfectness of the interface are studied on the phase velocity of SH waves. The dispersion curves are plotted and the effects of material properties of both couple stress substrate and viscoelastic layer are studied. The effects of internal microstructures of the couple stress substrate in terms of characteristic length of the material are presented. The effects of heterogeneity, friction parameter and thickness of the viscoelastic layer are also studied on the propagation of SH waves.
Rocznik
Strony
535--546
Opis fizyczny
Bibliogr. 30 poz., rys.
Twórcy
autor
  • Department of Mathematics, Lovely Professional University, Phagwara, Punjab, India
autor
  • School of Mathematics, Thapar University, Patiala, Punjab, India
Bibliografia
  • 1. Bhattacharya S.N., 1970, Exact solution of SH-wave equation for inhomogeneous media, Bulletin of Seismological Society of America, 60, 6, 1847-1859
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  • 3. Butler D.K., 2005, Near-Surface Geophysics, Society of Exploration Geophysicists, Tulsa, Okla
  • 4. Cosserat E., Cosserat F., 1909, Th´eorie des corps deformables, A. Hermann et Fils, Paris
  • 5. Cui J., Du J., Wang J., 2013, Study on SH waves in piezoelectric structure with an imperfectly bonded viscoelastic layer, Joint UFFC, EFTF and PFM Symposium, 1017-1020
  • 6. Das T.K., Sengupta P.R., Debnath L., 1991, Thermo-visco-elastic Rayleigh waves under the influence of couple stress and gravity, International Journal of Mathematics and Mathematical Sciences, 14, 3, 553-560
  • 7. Debnath L., Roy P.P., 1988, Propagation of edge waves in a thinly layered laminated medium with stress couples under initial stresses, Journal of Applied Mathematics and Simulation, 1, 271-286
  • 8. Eringen A.C., 1968, Theory of micropolar elasticity, [In:] Fracture, H. Liebowitz (Edit.), Academic Press, New York, 2, 662-729
  • 9. Georgiadis H.G., Velgaki E.G., 2003, High-frequency Rayleigh waves in materials with microstructure and couple-stress effects, International Journal of Solids and Structures, 40, 2501-2520
  • 10. Gubbins D., 1990, Seismology and Plate Tectonics, Cambridge University Press, Cambridge
  • 11. Hadjesfandiari A.R., Dargush G.F., 2011, Couple stress theory for solids, International Journal of Solids and Structures, 48, 2496-2510
  • 12. Koiter W.T., 1964, Couple stresses in the theory of elasticity I and II, Proceedings of the Koninklijke, Nederlandse Akademie van Wetenschappen B, 67, 17-44
  • 13. Kumar R., Chawla V., 2011, Wave propagation at the imperfect boundary between transversely isotropic thermodiffusive elastic layer and half-space, Journal of Engineering Physics and Thermophysics, 84, 5, 1192-2000
  • 14. Liu H., Yang J.L., Liu K., 2007, Love waves in layered graded composite structures with imperfectly bonded interface, Chinese Journal of Aeronautics, 20, 210-214
  • 15. Mindlin R.D., Tiersten H.F., 1962, Effects of couple-stresses in linear elasticity, Archive for Rational Mechanics and Analysis, 11, 415-488
  • 16. Nie G., An Z., Liu J., 2009, SH-guided waves in layered piezoelectric/piezomagnetic plates, Progress in Natural Science, 19, 811-816
  • 17. Nowacki W., 1974, Micropolar Elasticity, International Center for Mechanical Sciences, Courses and Lectures No: 151, Udine, Springer-Verlag, Wien-New York
  • 18. Otero J.A., Calas H., Rodrguez-Ramos R., Bravo-castillero J., Aguiar A.R., Monsivais G., 2011, Dispersion relations for SH waves on a magnetoelectroelastic heterostructure with imperfect interfaces, Journal of Mechanics of Materials and Structures, 6, 7/8, 969-994
  • 19. Qingzeng M.A., Jingpin J.,Ping H.U., Xi Z., Bin W.U., Cunfu H.E., 2014, Excitation and detection of shear horizontal waves with electromagnetic acoustic transducers for nondestructive testing of plates, Chinese Journal of Mechanical Engineering, 27, 2, 428-436
  • 20. Ravindra R., 1968, Usual assumptions in the treatment of wave propagation in heterogeneous elastic media, Pure and Applied Geophysics, 70, 1, 12-17
  • 21. Sahu S.A., Saroj P.K., Dewangan N., 2014, SH-waves in viscoelastic heterogeneous layer over half-space with self-weight, Archive of Applied Mechanics, 84, 235-245
  • 22. Schoenberg M., 1980, Elastic wave behavior across linear slip interfaces, Journal of the Acoustical Society of America, 68, 5, 1516-1521
  • 23. Sengupta P.R., Ghosh B., 1974a, Effects of couple stresses on the propagation of waves in an elastic layer, Pure and Applied Geophysics, 112, 331-338
  • 24. Sengupta P.R., Ghosh B., 1974b, Effects of couple stresses on the surface waves in elastic media, Gerlands Beitrage zur Geophysik, Leipzig, 83, 309-318
  • 25. Sharma V., Kumar S., 2016, Influence of microstructure, heterogeneity and internal friction on SH waves propagation in a viscoelastic layer overlying a couple stress substrate, Structural Engineering and Mechanics, 57, 4, 703-716
  • 26. Simonetti F., Cawley P., 2004, On the nature of shear horizontal wave propagation in elastic plates coated with viscoelastic materials, Proceedings of Royal Society – A, 460, 2197-2221
  • 27. Singh J., Singh B., Ailawalia P., 2011, Propagation of waves at an imperfectly bonded interface between two monoclinic thermoelastic half-spaces, Journal of Theoretical and Applied Mechanics, 41, 3, 77-92
  • 28. Toupin R.A., 1962, Elastic materials with couple-stresses, Archive for Rational Mechanics and Analysis, 11, 385-414
  • 29. Vardoulakis I., Georgiadis H.G., 1997, SH surface waves in a homogeneous gradient-elastic half-space with surface energy, Journal of Elasticity, 47, 147-165
  • 30. Voigt W., 1887, Theoretische Studien fiber die Elastizitatsverhiltnisse der Kristalle, Abh. Geschichte Wissenschaften, 34
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ff122ee9-9cb2-4be3-9f9a-ba8a05331cf1
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