Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-25T17:48:13.748Z Has data issue: false hasContentIssue false
  • English
  • Français

Impulse and Low Frequency Acoustic Wave Propagation in Granular Beds

Published online by Cambridge University Press:  01 February 2011

Surajit Sen ,
Marian Manciu ,
Victoria Tehan  and
Alan J. Hurd
Surajit Sen
Affiliation:
Department of Physics, State University of New York at Buffalo, Buffalo, NY 14260–1500, USA
Marian Manciu
Affiliation:
Department of Physics, State University of New York at Buffalo, Buffalo, NY 14260–1500, USA
Victoria Tehan
Affiliation:
Department of Physics, State University of New York at Buffalo, Buffalo, NY 14260–1500, USA
Alan J. Hurd
Affiliation:
Department 1841, Sandia National Laboratories, Albuquerque, NM 87185, USA
Get access

Abstract

The study of sound propagation in granular beds at frequencies exceeding a MHz has been a subject of study for many years. Much remains to be learnt about sound propagation at lower frequencies. We shall present our studies on the problem of impulse propagation and briefly comment on low frequency acoustic propagation in model granular beds using particle dynamical simulations. The following results will be briefly discussed. (i) Impulses propagating as solitary waves in 1-D granular chains with Hertz contacts in the absence of precompression. (ii) The effects of uniform precompression and gravitational loading on wave propagation. (iii) Impulse propagation in 3-D granular beds. The research presented shall highlight the intrinsically nonlinear nature of wave propagation in granular beds.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 627: Symposium BB – The Granular State , 2000 , BB3.3
Copyright
Copyright © Materials Research Society 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1] Janssen, H.A., Zeits. Ver. Dtsch. Ing. 39, pp 1045–1049 (1895).Google Scholar
[2] Biot, M.A., J. Acoust. Soc. Am. 28, pp 168–191 (1956).Google Scholar
[3] Boutreux, T., Raphael, E. and de Gennes, P.G., Phys. Rev. E 55, pp 5759–5773 (1997).Google Scholar
[4] Hardin, B.O. and Richart, F.E. Jr, J. of Soil Mech. and Found. Div., Proc. ASCE, 89, No. SM 1, Feb. pp 33–65 (1963).Google Scholar
[5] Richart, F.E. Jr, Woods, R.D. and Hall, J.R. Jr, Vibrations of Soils and Foundations (Prentice Hall, Englewood Cliffs, NJ, 1970) and references therein.Google Scholar
[6] Nesterenko, V.F., J. Appl. Mech. Tech. Phys. 5, pp 733–743 (1983).Google Scholar
[7] Rogers, A.J. and Don, C.G., Acoust. Australia 22, pp 5–9 (1994).Google Scholar
[8] Spence, D.A., Proc. R. Soc. Lond. A 305, pp 55–80 (1968).Google Scholar
[9] Hong, J., Ji, J.-Y. and Kim, H., Phys. Rev. Lett. 82, pp 3058–3061 (1999).Google Scholar
[10] Sen, S., Manciu, M. and Wright, J.D., Phys. Rev. E 57, pp 2386–2397 (1998).Google Scholar
[11] Sen, S. and Manciu, M., Physica A 268, pp 644–649 (1999).Google Scholar
[12] Manciu, M., Tehan, V.N. and Sen, S., Chaos 10 pp 658–669 (2000).Google Scholar
[13] Sinkovits, R.S. and Sen, S., Phys. Rev. Lett. 74, pp 2686–2689 (1995).Google Scholar
[14] Manciu, M., Sen, S. and Hurd, A.J., Physica A 274, pp 588–607 (1999).Google Scholar
[15] Manciu, M., Sen, S. and Hurd, A.J., Physica A 274, pp 607–618 (1999).Google Scholar
[16] Sen, S., Manciu, M., Sinkovits, R.S. and Hurd, A.J., Gran. Matt. (to appear, 2000).Google Scholar
[17] Manciu, M. and Sen, S., Phys. Rev. Lett. (submitted).Google Scholar