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Interaction Laws and the Detachment Effect in Granular Media

Published online by Cambridge University Press:  03 September 2012

S. Luding ,
E. ClÉment ,
A. Blumen ,
J. Rajchenbach  and
J. Duran
S. Luding
Affiliation:
Theoretische Polymerphysik, Universität Freiburg, Rheinstraäe 12,-79104 FREIBURG, GERMANY Laboratoire d'Acoustique et d'Optique de la Matière Condensée, Universitè Pierre Marie Curie 4, place Jussieu, 75005 PARIS, FRANCE
E. ClÉment
Affiliation:
Laboratoire d'Acoustique et d'Optique de la Matière Condensée, Universitè Pierre Marie Curie 4, place Jussieu, 75005 PARIS, FRANCE
A. Blumen
Affiliation:
Theoretische Polymerphysik, Universität Freiburg, Rheinstraäe 12,-79104 FREIBURG, GERMANY
J. Rajchenbach
Affiliation:
Laboratoire d'Acoustique et d'Optique de la Matière Condensée, Universitè Pierre Marie Curie 4, place Jussieu, 75005 PARIS, FRANCE
J. Duran
Affiliation:
Laboratoire d'Acoustique et d'Optique de la Matière Condensée, Universitè Pierre Marie Curie 4, place Jussieu, 75005 PARIS, FRANCE
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Abstract

We study granular materials using both event driven (ED) and molecular dynamics (MD) methods. In the MD simulations we implement linear as well as nonlinear forces and also hysteretic interactions. For multiple collisions the two methods show differences: MD calculations lead to weak, whereas ED methods result in rather strong dissipation, as determined through an effective restitution coefficient.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 367: Symposium P – Fractal Aspects of Materials , 1994 , 495
Copyright
Copyright © Materials Research Society 1995

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References

1. Disorder and Granular Media, Bideau, D. and Hansen, A. eds., (Elsevier Sci. Publ., Amsterdam 1993).Google Scholar
2. Jaeger, H. M., Nagel, S. R., Science 255, 1523 (1992); H. M. Jaeger, J. B. Knight, C.-h. Liu, S. R. Nagel, MRS Bulletin, Vol. XIX, No.5, 25 (1994).Google Scholar
3. Duran, J., Mazozi, T., Clément, E., J. Rajchenbach, (to be published in Phys. Rev. E, 1994).Google Scholar
4. Foerster, S. F., Louge, M. Y., Chang, H., and Allia, K., Phys. Fluids 6, 1108 (1994).Google Scholar
5. Landau, L. D., Lifschitz, E. M., Band VII Elastizitatstheorie (Akademie Verlag, Berlin, 1989); W. Goldsmith, IMPACT The Theory and Physical Behaviour of Colliding Solids, (Edward Arnold, Publishers, London, 1964); G. Kuwabara and K. Kono, Jpn. J. Appl. Phys. 26, 1230 (1987).Google Scholar
6. Allen, M. P. and Tildesley, D. J., Computer Simulation of Liquids (Oxford University Press, Oxford, 1987).Google Scholar
7. Savage, S. B., J. Fluid Mech. 92, 53 (1979);Google Scholar
8. Cundall, P. A. and Strack, O. D. L., Geotechnique 29, 47 (1979).Google Scholar
9. Gallas, J. A. C., Herrmann, H. J., Sokolowski, S., Phys. Rev. Lett. 69, 1371 (1992); Yi Zhang and C. S. Campbell, J. Fluid Mech. 237, 541 (1992); D. C. Hong, J. A. McLennan, Physica A 187, 159 (1992); Y-h. Taguchi, Phys. Rev. Lett. 69, 1367 (1992).Google Scholar
10. Ristow, G. H., Intern. J. Modern Phys. C 3, 1281 (1993); J. Lee, J. Phys. A 27, L257 (1994).Google Scholar
11. Lubachevsky, B. D., J. Comput. Phys. 94, 255 (1991).Google Scholar
12. Bernu, B. and Mazighi, R., J. Phys. A 23, 5745 (1990); S. McNamara, W. R. Young, Phys. Fluids A 4, 496 (1992); S. McNamara, W. R. Young, Phys. Fluids A 5, 34 (1993); R. Mazighi, B. Bernu, and F. Deylon, (to be published in Phys. Rev. E, 1994).Google Scholar
13. Clément, E., Luding, S., Blumen, A., Rajchenbach, J. and Duran, J., Internat. J. Modem Phys. B 7, 1807 (1993); S. Luding, E. Clément, A. Blumen, J. Rajchenbach and J. Duran, Phys Rev E 49, 1634 (1994).Google Scholar
14. Sadd, M. H., Tai, Q., Shukla, A., Intern. J. Non-Lin. Mech. 28, 251 (1993); C. Y. Zhu, A. Shukla, M. H. Sadd, J. Appl. Mech. 58, 341 (1991); O. R. Walton, Acta Mechanica 63, 947 (1986). O. R. Walton, R. L. Braun, J. Rheology 30, 949 (1986).Google Scholar
15. Luding, S., Clément, E., Blumen, A., J. Rajchenbach and J. Duran, (to be published, Phys. Rev. E, Nov. 1994); S. Luding, E. C16ment, A. Blumen, J. Rajchenbach and J. Duran, Phys. Rev. E 50, R1762 (1994).Google Scholar
16. Luding, S., Herrmann, H. J., and Blumen, A., Phys. Rev. E 50, 3100 (1994).Google Scholar