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Theory of Stress Distribution in Granular Materials: the Memory Formalism

Published online by Cambridge University Press:  01 February 2011

V. M. Kenkre
V. M. Kenkre*
Affiliation:
Center for Advanced Studies and the Department of Physics and Astronomy, University of New Mexico, Albuquerque, NM 87131, USA
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Abstract

A theoretical approach to the description of stress distribution in granular compacts is presented on the basis of a memory function formalism. Experiments which have motivated the approach are mentioned. The formalism is shown to provide an explanation of observed features of stress distribution in compacts, and to lead to existing theories in extreme limits, thereb y providing a unification of the theories. The memory functions are shown to be intimately related to characteristic spatial correlations in the granular system and are discussed on the basis of stochastic considerations.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 627: Symposium BB – The Granular State , 2000 , BB6.5
Copyright
Copyright © Materials Research Society 2000

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References

REFERENCES

[1] Jaeger, H. M., Nagel, S. R., and Behringer, R. P., Rev. Mod. Phys. 68, 1259 (1996); Physics Today 49, 32 (1996).Google Scholar
[2] Menta, A., ed. Granular Matter: An Interdisciplinary Approach (Springer-Verlag, New York, 1994).Google Scholar
[3] de Gennes, P.C, Rev. Mod. Phys. 71, S374 (1999).Google Scholar
[4] Kadanoff, L., Rev. Mod. Phys. 71, 435 (1999).Google Scholar
[5] Duran, Jacques, Sands, Powders and Grains (Springer 2000).Google Scholar
[6] Edwards, S. F. and Oakeshott, R. B. S., Physica D 38, 88 (1989).Google Scholar
[7] Bouchaud, J. P., Cates, M. E., and Claudin, P., J. Phys. I France 5, 639 (1995).Google Scholar
[8] Kenkre, V. M., Scott, J. E., Pease, E. A., and Hurd, A. J., Phys. Rev. E 57, 5841 (1998).Google Scholar
[9] Scott, J. E., Kenkre, V. M., and Hurd, A. J., Phys. Rev. E 57, 5850 (1998).Google Scholar
[10] Kenkre, V. M., Granular Materials, XX, XXXX (2000), to be published (Proceedings of a Consortium of the Americas for Interdisciplinary Science Workshop held in Bariloche, Argentina (2000 March).Google Scholar
[11] Aydin, I., Briscoe, B. J., and Sanliturk, K. Y., Computational Materials Science 3, 55 (1994); Powder Technology 89, 239 (1996).Google Scholar
[12] Kamm, R., Steinberg, M. A., and Wulff, J., Trans. AIME 171, 439 (1947); 180, 694 (1949).Google Scholar
[13] Kuczynski, G. C. and Zaplatynsky, I., Trans. AIME 206, 215 (1956).Google Scholar
[14] Train, D., Trans. Instn. Chem. Engrs. 35, 258 (1957).Google Scholar
[15] Macleod, H. M. and Marshall, K., Powder Technology 16, 107 (1977).Google Scholar
[16] Duwez, P. and well, L. Z, Trans. AIME 185, 137 (1949).Google Scholar
[17] Seelig, R. P., Trans. AIME 171, 506 (1947).Google Scholar
[18] Thompson, R. A., Ceramic Bulletin 60, 237 (1981).Google Scholar
[19] Cooper, A. R. and Eaton, L. E., J. Am. Ceram. Soc. 45, 97 (1962).Google Scholar
[20] Kenkre, V. M., Endicott, M. R., Glass, S. J., and Hurd, A. J., J. Am. Ceram. Soc. 79, 3045 (1996).Google Scholar
[21] See, e.g., Kenkre, V. M., in Energy Transfer Processes in Condensed Matter, ed. Di Bartolo, B. (Plenum Press, New York, 1981), pp. 205–219.Google Scholar
[22] Janssen, H. A., Z. Ver. Dt. Ing. 39, 1045 (1895).Google Scholar
[23] Liu, C.-h., Nagel, S. R., Schecter, D. A., Coppersmith, S. N., Majumdar, S., Narayan, O., Witten, T. A., Science 269, 513 (1995).Google Scholar
[24] Farlow, S. J., Partial Differential Equations for Scientists and Engineers (Dover Publications, Inc., New York, 1982), pp. 64–73.Google Scholar
[25] Kenkre, V. M., Kuś, M. and Hurd, A., preprint.Google Scholar
[26] Manne, K., Hurd, A. J., and Kenkre, V. M., Phys. Rev. E 61, 4177 (2000).Google Scholar
[27] Moukarzel, C. F., Phys. Rev. Lett. 81, 1634 (1998).Google Scholar
[28] Goddard, J. in Physics of Granular Media, Proc. of NATO Institute, ed. Herrmann, H., Hovi, J. and Luding, S. (Luwer Academic, Dordrecht, 1998).Google Scholar
[29] Savage, S. B. in Powders and Grains, ed. Behringer, R. and Jenkins, J. (Balkema, Rotterdam, 1997).Google Scholar