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On some problems of SH wave propagation in inhomogeneous elastic bodies

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper deals with the propagation of shear horizontal (SH) waves in an nonhomogeneous elastic half-space composed of a layer whose shear modulus and mass density have a power dependence on the distance from the lower plane and the periodically stratified half-space. The equation which relates the wave speed to the wave-number and functions of the shear modulus and mass density is derived. The wave velocity is analyzed numerically. Especially, the influence of mechanical properties of the coating layer and the stratified foundation on the wave velocity is presented in the form of figures.
Rocznik
Strony
1125--1135
Opis fizyczny
Bibliogr. 28 poz., rys.
Twórcy
autor
  • University of Warsaw, Faculty of Geology, Institute of Hydrogeology and Engineering Geology, Warszawa, Poland
  • University of Warsaw, Faculty of Geology, Institute of Hydrogeology and Engineering Geology, Warszawa, Poland
  • Białystok University of Technology, Faculty of Mechanical Engineering, Białystok, Poland
Bibliografia
  • 1. Achenbach J.D., 1973, Wave Propagation in Elastic Solids, North-Holland Publ. Co., Amsterdam-London
  • 2. Achenbach J.D., Balogun O., 2010, Anti-plane surface waves on a half-space with depthdependent properties, Wave Motion, 47, 59-65
  • 3. Alenitsyn A.G., 1964, Rayleigh waves in a nonhomogeneous elastic slab, Prikladnaya Matematika i Mekhanika, 28, 5, 880-888
  • 4. Alshits V.I., Maugin G.A., 2005, Dynamics of multilayers: elastic waves in an anisotropic graded or stratified plate, Wave Motion, 41, 357-394
  • 5. Bielski W.R., Matysiak S.J., 1992, Surface waves in a periodic two-layered elastic half-space, Acta Mechanica, 91, 47-55
  • 6. Birykov S.V., Gulyaev Yu.V., Krylov V.V., Plessky V.V., 1995, Surface Acoustic Waves in Inhomogeneous Media, Springer, Berlin
  • 7. Brekhovskikh L.M., 1960, Waves in Layered Media, Academic Press, New York
  • 8. Calladine C.R., Greenwood J.A., 1978, Line and point loads on a non-homogeneous incompressible elastic half-space, Quarterly Journal of Mechanics and Applied Mathematics, 31, 507-529
  • 9. Cerveny V., Popov M.M., Psencik I., 1982, Computation of wave fields in inhomogeneous media – Gaussian beam approach, Geophysical Journal of the Royal Astronomical Society, 70, 109-128
  • 10. Destrade M., 2007, Seismic Rayleigh waves on an exponentially graded, orthotropic elastic halfspace, Proceedings of the Royal Society of London. Series A, 463, 495-502
  • 11. Kamke E., 1976, Handbook of Ordinary Differential Equations (in Russian), Science, Moscow
  • 12. Kennett B.L.N., 1983, Seismic Wave Propagation in Stratified Media, Cambridge University Press
  • 13. Kulchytsky-Zhyailo R., Kołodziejczyk W., 2007, On axisymmetrical contact problem of pressure of rigid sphere into a periodically two-layered space, International Journal of Mechanical Science, 49, 704-711
  • 14. Kulchytsky-Zhyhailo R., Matysiak S.J., 2005, On some heat conduction problem in a periodically two-layered body. Comperative results, International Communications in Heat and Mass Transfer, 32, 332-340
  • 15. Kulchytsky-Zhyhailo R., Matysiak S.J., 2006, On distributions in a semi-infinite periodically stratified layer, Bulletin of the Polish Academy of Science, Technical Sciences, 54, 45-49
  • 16. Kulchytsky-Zhyhailo R., Matysiak S.J., Perkowski D.M., 2006, On displacements and stresses in a semi-infinite laminated layer. Comperative results, Meccanica, 42, 117-126
  • 17. Lebiediev N.N., 1957, Special Functions and their Applications (in Polish), PWN, Warsaw
  • 18. Matysiak S.J., 1996, On the microlocal method in modeling of periodically layered composites, Journal of Theoretical and Applied Mechanics, 33, 481-487
  • 19. Matysiak S.J., Mieszkowski R., Perkowski D.M., 2009, Surface waves in a periodic half-space with the boundary normal to the layering, Acta Mechanica, 207, 235-243
  • 20. Matysiak S.J., Woźniak C., 1987, Micromorphic effects in a modelling of periodic multilayered elastic composites, International Journal of Engineering Sciences, 25, 549-559
  • 21. Matysiak S.J., Woźniak C., 1988, On the microlocal modelling of thermoelastic composites, Journal of Technology Physics, 29, 85-97
  • 22. Nayfeh A.H., 1995, Wave Propagation in Layered Anisotropic Media, North-Holland, Amsterdam
  • 23. Nowacki W., 1970, Theory of Elasticity (in Polish), PWN, Warsaw
  • 24. Shuvalov A.L., Poncelet O., Kiselev A.P., 2008, Shear horizontal waves in transversely inhomogeneous plates, Wave Motion, 45, 605-615
  • 25. Upadhyay S.K., Gupta O.P., 1972, SH-wave propagation in anisotropic inhomogeneous crustal layer, Pure and Applied Geophysics, 95, 67-73
  • 26. Wang C.D., Tzeng C.S., Pan E., Liao J.J., 2003, Displacements and stresses due to a vertical point load in an inhomogeneous transversally isotropic half-space, International Journal of Rock Mechanics and Mining Sciences, 40, 667-685
  • 27. Woźniak C., Woźniak M., 1995, Modeling of Composites. Theory and Applications (in Polish), IFTR Reports, Warsaw
  • 28. rettos C., 1990, In-plane vibrations of soil deposits with variable shear modulus. I. Surface wave, International Journal for Numerical and Analytical Methods in Geomechanics, 14, 209-222
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-6df5793f-7a93-4137-b880-b7a7125c1c85
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