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Tytuł artykułu

Modelling of SH-waves in a fiber-reinforced anisotropic layer over a pre-stressed heterogeneous half-space

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Języki publikacji
EN
Abstrakty
EN
Modelling of SH-waves in an anisotropic fiber-reinforced layer provides a great deal of support in the understanding of seismic wave propagation. This paper deals with the propagation of SH-waves in a fiber-reinforced anisotropic layer over a pre-stressed heterogeneous half-space. The heterogeneity of the elastic half-space is caused by linear variations of density and rigidity. As a special case when both media are homogeneous and stress free, the derived equation is in agreement with the general equation of the Love wave. Numerically, it is observed that the velocity of SH-waves decreases with an increase in heterogeneity-reinforced parameters and decrease in initial stress.
Rocznik
Strony
463--475
Opis fizyczny
Bibliogr. 31 poz., rys., tab.
Twórcy
autor
  • 163, Phase-1, Chotti Baradari, Garah Road, Jalandhar, India
autor
  • Department of Electronics, SBBIET, Phadiana, India
Bibliografia
  • 1. Belfield A.J., Rogers T.G., Spencer A.J.M., 1983, Stress in elastic plates reinforced by fibers lying in concentric circles, Journal of the Mechanics and Physics of Solids, 31, 1, 25-54
  • 2. Chadwick P., Smith G.D., 1977, Foundations of the theory of surface waves in anisotropic elastic materials, Advances in Applied Mechanics, 17, 303-376
  • 3. Chattopadhyay A., Choudhury S., 1995, Magnetoelastic shear waves in an infinite self- -reinforced plate, International Journal for Numerical and Analytical Methods in Geomechanics, 19, 4, 289-304, DOI: 10.1002/nag.1610190405
  • 4. Chattopadhyay A., Gupta S., Sahu S.A., Singh A.K., 2012, Dispersion of horizontally polarized shear waves in an irregular non-homogeneous self reinforced crustal layer over a semi-infinite self-reinforced medium, Journal of Vibration and Control, DOI: 10.1177/1077546311430699
  • 5. Chattopadhyay A., Singh A.K., Dhua S., 2014, Effect of heterogeneity and reinforcement on propagation of a crack due to shear waves, International Journal of Geomechanics, 10.1061/(ASCE)GM.1943-5622.0000356, 04014013
  • 6. Crampin S., Taylor D.B., 1971, The propagation of surface waves in anisotropic media, Geophysical Journal of the Royal Astronomical Society, 25, 71-87
  • 7. Destrade M., 2001, Surface waves in orthotropic incompressible materials, Journal of the Acoustical Society of America, 110, 837-840
  • 8. Destrade M., 2003, The explicit secular equation for surface acoustic waves in mono-clinic elastic crystals, Journal of the Acoustical Society of America, 109, 1398-1402
  • 9. Dowaikh M.A., Ogden R.W., 1990, On surface waves and deformations in a pre-stressed incompressible elastic solid, IMA Journal of Mathematical Control and Information, 44, 261-284
  • 10. Du J., Xian K., Wang J., Yong Y.K., 2008, Propagation of Love waves in prestressed piezoelectric layered structures loaded with viscous liquid, Acta Mechanica Solida Sinica, 21, 542-548
  • 11. Ewing W.M., Jardetzky W.S., Press F., 1957, Elastic Waves in Layered Media, McGraw-Hill, New York
  • 12. Gubbins D., 1990, Seismology and Plate Tectonics, Cambridge University Press, Cambridge
  • 13. Gupta I.S., 2014, Note on surface wave in fiber-reinforced medium, Mathematical Journal of Interdisciplinary Sciences, 3, 1, 23-35
  • 14. Gupta R.R., Gupta R.R., 2013, Analysis of wave motion in an anisotropic initially stressed fiber reinforced thermoelastic medium, Earthquakes and Structures, An International Journal, 4, 1, 1-10
  • 15. Kundu S., Manna S., Gupta S., 2014, Propagation of SH-wave in an initially stressed orthotropic medium sandwiched by a homogeneous and an inhomogeneous semi-infinite media, Mathematical Methods in the Applied Sciences, DOI: 10.1002/mma.3203
  • 16. Li X.Y., Wang Z.K., Huang S.H., 2004, Love waves in functionally graded piezoelectric materials, International Journal of Solids and Structures, 41, 7309-7328
  • 17. Love A.E.H., 1911, Some Problems of Geo-Dynamics, London, UK, Cambridge University Press
  • 18. Mozhaev V.G., 1995, Some new ideas in the theory of surface acoustic waves in anisotropic media, IUTAM Symposium on Anisotropy, Heterogenity and Nonlinearity in Solid Mechanics: Proceedings of the IUTAM-ISIMM Symposium (Nottingham, UK, 1994), edited by D.F. Parker and A.H. England, Kluwer, Dordrecht, 455-462
  • 19. Musgrave M.J.P., 1959, The propagation of elastic waves in crystals and other anisotropic media, Reports on Progress in Physics, 22, 74-96
  • 20. Nair S., Sotiropoulos D.A., 1999, Interfacial waves in incompressible monoclinic materials with an interlayer, Mechanical of Materials, 31, 225-233
  • 21. Ogden R.W., Singh B., 2011, Propagation of waves in an incompressible transversely isotropic elastic solid with initial stress: Biot revisited, Journal of Mechanics of Materials and Structures, 6, 453-477
  • 22. Ogden R.W., Singh B., 2014, The effect of rotation and initial stress on the propagation of waves in a transversely isotropic elastic solid, Wave Motion, 51, 1108-1126
  • 23. Qian Z., Jin F., Wang Z., 2004, Love waves
  • 24. Ting T.C.T., 2002, An explicit secular equation for surface waves in an elastic material of general anisotropy, Quarterly Journal of Mechanics and Applied Mathematics, 55, 297-311
  • 25. Sahu S.A., Saroj P.K., Paswan B., 2014 Shear waves in a heterogeneous fiber-reinforced layer over a half-space under gravity, International Journal of Geomechanics, 10.1061/(ASCE)GM.1943- -5622.0000404
  • 26. Spencer A.J.M., 1972, Deformations of Fibre-Reinforced Materials, Oxford University Press, London
  • 27. Wang Q., Quek S.T., 2001, Love waves in piezoelectric coupled solid media, Smart Materials and Structures, 10, 380-388
  • 28. Watanabe K., Payton R.G., 2002, Green’s function for SH waves in a cylindrically monoclinic material, Journal of Mechanics Physics of Solids, 50, 2425-2439
  • 29. Whittaker E.T., Watson G.N., 1991, A Course of Modern Analysis, Universal Book Stall, New Delhi, India
  • 30. Zaitsev B.D., Kuznetsova I.E., Joshi S.G., Borodina I.A., 2001, Acoustic waves in piezoelectric plates bordered with viscous and conductive liquid, Ultrasonics, 39, 1, 45-50
  • 31. Zakharenko A., 2005, A Love-type waves in layered systems consisting of two cubic piezoelectric crystals, Journal of Sound and Vibration, 285, 877-886
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-4d82bf9d-66bc-430a-925e-224eef103184
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