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Rayleigh wave propagation: A case wise study in a layer over a half space under the effect of rigid boundary

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Języki publikacji
EN
Abstrakty
EN
In the present paper, case wise studies have been made to investigate the existence of Rayleigh surface wave in an earth's crustal layer. In the first case, the layer has been kept sandwiched between a rigid boundary plane and a sandy half space, while in the second case the sandy half space has been replaced by an elastic half space with void pores. The dispersion relation has been deduced in both the cases subjected to certain boundary conditions. The phase velocity has been calculated numerically and the effect of sandy parameter, rigid boundary, wave number, inhomogeneity parameter and void parameter on it has been illustrated and displayed by means of graphs. It has been found that the phase velocity of Rayleigh wave is greater when the half space is porous and elastic instead of dry sandy. GUI (graphical user interface) has been developed using MATLAB and a screenshot has been presented in the paper.
Rocznik
Strony
181--189
Opis fizyczny
Bibliogr. 15 poz., rys., wykr.
Twórcy
  • Department of Applied Mathematics, Indian School of Mines, Dhanbad, Jharkhand 826004, India
  • Department of Mathematics, Birla Institute of Technology and Science - Pilani, Hyderabad Campus, Hyderabad 500078, India
autor
  • Department of Applied Mathematics, Indian School of Mines, Dhanbad, Jharkhand 826004, India
Bibliografia
  • [1] J.T. Wilson, Surface wave sin a heterogeneous medium, Bulletin of Seismological Society of America 32 (1942) 297–305.
  • [2] M.A. Biot, Mechanics of Incremental Deformation, Wiley, New York, 1965.
  • [3] S.C. Cowin, J. W. Nunziato, Lineał elastic materials with voids, Journal of Elasticity 13 (2) (1983) 125–147.
  • [4] M. Newlands, Rayleigh waves in a two layer heterogeneous medium, Monthly Notices of the Royal Astronomical Society Geophysics Suppl. 6 (1950) S109.
  • [5] R. Stonely, The transmission of Rayleigh waves in a heterogeneous medium, Monthly Notices of the Royal Astronomical Society Geophysics Suppl. 3 (1934) S222.
  • [6] S. Dutta, Rayleigh waves in a two layer heterogeneous medium, Bulletin of Seismological Society of America 53 (1963) 517.
  • [7] A.M. Abd-Alla, Propagation of Rayleigh waves in an elastic half-space of orthotropic material, Applied Mathematics and Computation 99 (1999) 61–69.
  • [8] A. Chattopadhyay, N. P. Mahata, A. Keshri, Rayleigh wave in a medium under initial stresses, Acta Geophysica Polonica 34 (1) (1986)57–62.
  • [9] A.M. Abd-Alla, S. M. Abo-Dahab, Time–harmonic sources in a generalized magneto-thermo elastic continuum with and without energy dissipation, Applied Mathematical Modelling 33 (5) (2009) 2388–2402.
  • [10] R.S. Sidhu, Transmission of Rayleigh waves over the surface of a heterogeneous medium, Pure and Applied Geophysics 80 (1) (1970) 48–70.
  • [11] J.N. Sharma, P. Mohinder, Rayleigh–Lamb waves in magneto thermo elastic homogeneous isotropic plate, International Journal of EngineeringScience42 (2004) 137–155.
  • [12] L.I. Slepyan, Dynamic crack growth under Rayleigh wave, Journal of the Mechanics and Physics of Solid 58 (2010) 635–655.
  • [13] Y.Z. Wang, F. M. Li, W. H. Huang, Y. S. Wang, The propagation and localization of Rayleigh waves in disordered piezoelectric phononic crystals, Journal of Mechanics and Physics of Solid 56 (2008) 1578–1590.
  • [14] P.C. Vinh, R. W. Odgen, On formulas for the Rayleigh wave speed, Wave Motion 39 (2004) 191–197.
  • [15] W.H. Weiskopf, Stresses in soils under a foundation, Journal of The Franklin Institute 239 (1945) 445.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-b12853b2-8cf8-4910-a070-7dcf0a08c67d
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