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Granular Flows in the Elastic Limit

Published online by Cambridge University Press:  01 February 2011

Charles S. Campbell
Charles S. Campbell*
Affiliation:
Department of Mechanical Engineering, University of Southern California, Los Angeles, CA 90089–1453
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Abstract

This paper describes recent computer simulation studies into the rheological behavior of granular materials in the regime that lies between the quasistatic and rapid-flow regime. This investigation was prompted by studies of landslides, hopper flows and the “phase change” (i.e. the change between solidlike and fluid-like behavior) all of which indicated that the shear-to-normal stress ratio (the effective friction coefficient for the material) increased with shear rate. The results presented herein do demonstrate that the stress ratio varies with a dimensionless parameter created by scaling the shear rate with the stiffness of the interparticle contacts. In dense regimes, the stresses themselves scale with the stiffness indicating that they are generated by the elastic response of particle networks. Such speculation is supported by studies that show that the normal stresses are strongly dependent on the interparticle friction coefficient which affects the ability of internal elastic particle structures to support load and by the time variation of stress, which shows a spiky behavior as the structures form and break. However, analyses also indicate that these observations cannot explain the hopper, landslide and phase-change as these systems operate in regimes different from those in which the effect was observed. Finally, the effects of non-linear contacts are investigated and an appropriate scaling that takes the non-linearity into account is proposed.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 627: Symposium BB – The Granular State , 2000 , BB4.4
Copyright
Copyright © Materials Research Society 2000

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References

REFERENCES

1. Babic, M., M., , Shen, H.H. and Shen, H.T., J. Fluid Mech. 219 81 (1990).Google Scholar
2. Bathurst, R. J., and Rothenburg, L., Journal of Applied Mechanics, 55, 17 (1988).Google Scholar
3. Campbell, C.S., C.S., (1986) Proc. 10th Nat. Cong. of App. Mech., Austin Texas, June 1986, ASME, New York 327–38 (1986).Google Scholar
4. Campbell, C.S., J. Fluid Mechanics, 203 449–473, (1989).Google Scholar
5. Campbell, C.S., Annual Review of Fluid Mechanics, 22 57 (1990)Google Scholar
6. Campbell, C.S., C.S., , The transition from fluid-like to solid-like behavior in granular flows, Powders and Grains 93, 289 A. A. Balkema, (1993).Google Scholar
7. Campbell, C.S., J. Fluid Mechanics, 348, 85 (1997).Google Scholar
8. Campbell, C.S., Powder Technology Handbook, 2 ed., Marcell Dekker, New York 777 (1997).Google Scholar
9. Campbell, C.S., Cleary, P., and Hopkins, M.A., J. Geophysical Res., 100, 8267 (1995).Google Scholar
10. Campbell, C.S. and Gong, A., J. Fluid Mech. 164 107–125 (1986).Google Scholar
11. Campbell, C.S. and Zhang, Y., Y, . Advances in Micromechanics of Granular Materials-Proceedings of the Second U.S./Japan Seminar on the Micromechanics of Granular Materials, Potsdam New York, August 5–9, 1991, (Ed. by Shen, H.H., Satake, M., Mehrabadi, M., Chang, C.S., & Campbell, C. S.) Elsevier, Amsterdam, 261 (1992).Google Scholar
12. Cundall, P. A. and Strack, O.D.L., Geotechnique 29 47 (1979).Google Scholar
13. Drescher, A. and De Josselin de Jong, G., J. Mech. Phys. Solids, 20, 337 (1972).Google Scholar
14. Goddard, J.D., Proc. Roy. Soc., 430 105 (1990).Google Scholar
15. Hwang, H., and Hutter, K. Cont. Mech. and Thermo 7 357–384 (1995).Google Scholar
16. Jackson, R. Theory of Dispersed Multiphase Flow, Academic Press, 291 (1983).Google Scholar
17. Lees, A. W. and Edwards, S. F., J. Phys. C: Solid State Phys. 5 1921 (1972).Google Scholar
18. Mullier, M., Tuzun, U., and Walton, O.R., Powder Technology 65, 61 (1991).Google Scholar
19. Potapov, A. V. and Campbell, C.S., Physics of Fluids A, 8 2884 (1996).Google Scholar
20. Richart, F. E., Woods, R.D. and Hall, J.R., 1970, Vibrations of Soils and Foundations, Ch. 6., Prentice Hall (1970).Google Scholar
21. Richart, F.E., Dynamic Response and Wave propagation in Soils, (ed. Prange, B.) A. A. Balkema, (1978).Google Scholar
22. Wang, D.G. and Campbell, C.S. J. Fluid Mechanics, 244, 527 (1992).Google Scholar
23. Zhang, Y., and Campbell, C.S., J. Fluid Mechanics, 237, 541 (1992).Google Scholar