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Granular State Effects on Wave Propagation

Published online by Cambridge University Press:  11 February 2011

Stephen R. Hostler
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, U.S.A.
Christopher E. Brennen
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, U.S.A.
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Abstract

Sound and pressure wave propagation in a granular material is of interest not only for its intrinsic and practical value, but also because it provides a non-intrusive means of probing the state of a granular material. By examining wave speeds and attenuation, insight can be gained into the nature of the contacts between the particles. In the present paper, wave speeds and attenuation rates are first examined for a static granular bed for a variety of system parameters including particle size, composition and the overburden of the material above the measuring transducers. Agitation of the bed is then introduced by shaking the material vertically. This causes the bed to transition from a static granular state to a vibrofluidized state. The dilation of the bed allows for relative particle motion and this has a significant effect on the measured wave speeds and attenuation. Further, the fluid-like characteristics of the agitated bed distort the force-chain framework through which the waves are thought to travel. The consequences of bed consolidation, a natural result of shaking, are also examined.

Type
Research Article
Copyright
Copyright © Materials Research Society 2003

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References

REFERENCES

1. Duffy, J. and Mindlin, R.D., ASME J. Appl. Mech., 24, 585 (1957).Google Scholar
2. Hardin, B.O. and Richart, F.E., ASCE J. of the Soil Mech. And Found. Div., 89, 33 (1963).Google Scholar
3. Makse, H.A., Gland, N., Johnson, D.L., and Schwartz, L.M., Phys. Rev. Lett., 83, 5070 (1999).Google Scholar
4. Jia, X., Caroli, C., and Velicky, B., Phys. Rev. Lett., 82, 1863 (1999).Google Scholar
5. Haff, P.K., Brown Bag Preprint Series, Caltech (1987).Google Scholar
6. Liu, C. and Nagel, S.R., Phys. Rev. Lett., 68, 2301 (1992); J. Phys.: Condens. Matter, 6, A433 (1994); Phys. Rev. B, 48, 646 (1993).Google Scholar
7. Liu, C., Phys. Rev. B, 50, 782 (1994).Google Scholar
8. Musmarra, D., Poletto, M., Vaccaro, S., and Clift, R., Powder Tech, 82, 255 (1995).Google Scholar