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A Numerical Study of Compaction of Dry Granular Material

Published online by Cambridge University Press:  11 February 2011

Deborah Sulsky*
Affiliation:
Department of Mathematics and Statistics, Department of Mechanical Engineering, University of New Mexico, Albuquerque, NM 87131, U.S.A.
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Abstract

The material-point method is used to examine numerically the macroscopic stress-strain response of a granular sample under compression. The simulations reproduce experimental observations of the large stiffening that occurs as the granular bed becomes packed. We also show the network of force chains that forms and how the character of contacts between grains changes for large deformations. Finally, we examine the probability distribution of forces and observe exponential distributions above the mean with a small peak at the mean for small deformations, and a transition to a larger peak at larger deformations.

Type
Research Article
Copyright
Copyright © Materials Research Society 2003

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References

REFERENCES

[1] Jaeger, H., Nagel, S., and Behringer, R., Rev. Mod. Phys. 68, 12591273 (1996).Google Scholar
[2] Baxter, G. W., in Powders and Grains 97 (Balkema, Rotterdam, 1997), pp. 345348.Google Scholar
[3] Erikson, J. M., Mueggenburg, N. W., Jaeger, H. M., and Nagel, S. R., Phys. Rev. E 66, 14 (2002).Google Scholar
[4] Travers, T., Ammi, M., Bideau, D., Gervois, A., Messager, J. C., and Troadec, J. P., Europhys. Letts. 4(3), 329332 (1987).Google Scholar
[5] Herrmann, H. J., Stauffer, D., and Roux, S., Europhys. Letts. 3(3), 265267 (1987).Google Scholar
[6] Elban, W. L. and Chiarito, M. A., Powder Technology 48, 181193 (1986).Google Scholar
[7] Travers, T., Ammi, M., Bideau, D., Gervois, A., Messager, J. C., and Troadec, J. P., J. Phys. France 49, 939948 (1988).Google Scholar
[8] Sulsky, D., Chen, Z., and Schreyer, H. L., Comput. Methods Appl. Mech. Engrg. 118, 179196 (1994).Google Scholar
[9] Sulsky, D., Zhou, S.-J., and Schreyer, H. L., Comput. Phys. Commun. 87, 236252 (1995).Google Scholar
[10] Sulsky, D. and Schreyer, H. L., Comput. Meths. Appl. Mech. Engrg. 139, 409429 (1996).Google Scholar
[11] Bardenhagen, S., Brackbill, J., and Sulsky, D., Comput. Meths. Appld. Mechs. Engrng. 187, 529541 (2000).Google Scholar
[12] Cundall, P. and Strack, O. D. L., Geotechnique 29, 4765 (1979).Google Scholar
[13] Cundall, P. A., Int. J. Rock Rock Mech. Min. Sci. and Geomech. Abstr. 25, 107116 (1988).Google Scholar
[14] Bardenhagen, S., Brackbill, J., and Sulsky, D., Proc. 11th Int. Symp. on Det., Snowmass, Co., Aug., 1998.Google Scholar
[15] Bardenhagen, S., Brackbill, J., and Sulsky, D., Phys. Rev. E: 62, 38823890 (2000).Google Scholar