Abstract.
We relate the pressure “dip” observed at the bottom of a sand pile prepared by successive avalanches to the stress profile obtained on sheared granular layers in response to a localized vertical overload. We show that, within a simple anisotropic elastic analysis, the skewness and the tilt of the response profile caused by shearing provide a qualitative agreement with the sand pile dip effect. We conclude that the texture anisotropy produced by the avalanches is in essence similar to that induced by a simple shearing --albeit tilted by the angle of repose of the pile. This work also shows that this response function technique could be very well adapted to probe the texture of static granular packing.
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References
For a broad perspective on granular materials, see the focus issue on the physics of granular media of C. R. Acad. Sci. Phys. 3, 129-245 (2002)
J. Šmíd, J. Novosad, Proceedings of the Powtech. Conference 1981, Ind. Chem. Eng. Symp. 63, D3V 1 (1981).
R. Brockbank, J.M. Huntley, R.C. Ball, J. Phys. II 7, 1521 (1997).
L. Vanel, D.W. Howell, D. Clark, R.P. Behringer, E. Clément, Phys. Rev. E 60, R5040 (1999).
J. Geng, E. Longhi, R.P. Behringer, D.W. Howell, Phys. Rev. E 64, 060301(R) (2001).
K. Liffman, D.Y.C. Chan, B.D. Hughes, Powder Technol. 72, 255 (1992).
S. Luding, Phys. Rev. E 55, 4720 (1997).
H.-G. Matuttis, Granular Matter 1, 83 (1998).
J.-P. Bouchaud, M.E. Cates, P. Claudin, J. Phys. I 5, 639 (1995).
J.P. Wittmer, P. Claudin, M.E. Cates, J.-P. Bouchaud, Nature, 382, 336 (1996).
J.P. Wittmer, M.E. Cates, P. Claudin, J. Phys. I 7, 39 (1997).
P. Claudin, La physique des tas de sable, PhD Thesis, Ann. Phys. (Paris) 24, no. 2, 1 (1999).
L. Vanel, P. Claudin, J.-P. Bouchaud, M.E. Cates, E. Clément, J.P. Wittmer, Phys. Rev. Lett. 84, 1439 (2000).
M.E. Cates, J.P. Wittmer, J.-P. Bouchaud, P. Claudin, Phys. Rev. Lett. 81, 1841 (1998)
J.-P. Bouchaud, P. Claudin, D. Levine, M. Otto, Eur. Phys. J. E 4, 451 (2001)
R. Blumenfeld, Phys. Rev. Lett. 93, 108301 (2004).
D.M. Wood, Soil Behaviour and Critical State Soil Mechanics (Cambridge University Press, Cambridge, 1990).
H. Makse, N. Gland, D.L. Johnson, L.M. Schwartz, Phys. Rev. Lett. 83, 50705073 (1999).
P.-G. de Gennes, Physica A 261, 267 (1998)
M. da Silva, J. Rajchenbach, Nature 406, 708 (2000).
G. Reydellet, E. Clément, Phys. Rev. Lett. 86, 3308 (2001)
D. Serero, G. Reydellet, P. Claudin, E. Clément, D. Levine, Eur. Phys. J. E 6, 169 (2001).
J. Geng, D. Howell, E. Longhi, R.P. Behringer, G. Reydellet, L. Vanel, E. Clément, S. Luding, Phys. Rev. Lett. 87, 035506 (2001).
N.W. Mueggenburg, H.M. Jaeger, S.R. Nagel, Phys. Rev. E 66, 031304 (2002).
J. Geng, G. Reydellet, E. Clément, R.P. Behringer, Physica D 182, 274 (2003).
M.J. Spannuth, N.W. Mueggenburg, H.M. Jaeger, S.R. Nagel, cond-mat/0308580.
C. Eloy, E. Clément, J. Phys. I 7, 1541 (1997).
J.-J. Moreau, in the proceedings of the Colloque Physique et Mécanique des Matériaux Granulaires, Champs-sur-Marne (France) (Laboratoire des Ponts et Chaussées, 2000) p. 199.
L. Breton, P. Claudin, E. Clément, J.-D. Zucker, Europhys. Lett. 60, 813 (2002).
C. Goldenberg, I. Goldhirsch, Phys. Rev. Lett. 89, 084302 (2002).
C. Goldenberg, I. Goldhirsch, Granular Matter 6, 87 (2004).
R. da Silveira, G. Vidalenc, C. Gay, cond-mat/0208214.
S. Ostojic, D. Panja, J. Stat. Mech., P01011 (2005)
A.P.F. Atman, P. Brunet, J. Geng, G. Reydellet, G. Combe, P. Claudin, R.P. Behringer, E. Clément, to be published in J. Phys. Condens. Matter, special issue on Granular Materials, edited by M. Nicodemi, cond-mat/0411734.
N. Gland, P. Wang, H.A. Makse, Numerical study of the stress response of dense granular packings, preprint (2004).
C. Goldenberg, I. Goldhirsch, to be published in Nature (2005).
C. Goldenberg, I. Goldhirsch, Eur. Phys. J. E 9, 245 (2002).
M. Otto, J.-P. Bouchaud, P. Claudin, J.E.S. Socolar, Phys. Rev. E 67, 031302 (2003).
D.A. Head, A.V. Tkachenko, T.A. Witten, Eur. Phys. J. E 6, 99 (2001)
A. Kasahara, H. Nakanishi, cond-mat/0405169.
S.F. Edwards, D.V. Grinev, Phys. Rev. Lett. 82, 5397 (1999).
A.V. Tkachenko, T.A. Witten, Phys. Rev. E 60, 687 (1999).
R.C. Ball, R. Blumenfeld, Phys. Rev. Lett. 88, 115505 (2002).
C.F. Moukarzel, J. Phys. Condens. Matter 14, 2379 (2002).
J.-N. Roux, Phys. Rev. E 61, 6802 (2000).
S.B. Savage, in Physics of Dry Granular Media, edited by H.J. Herrmann, J.P. Hovi, S. Luding, NATO ASI Ser., Vol. 25 (Kluver, Amsterdam, 1998).
A.K. Didwania, F. Cantelaube, J.D. Goddard, Proc. R. Soc. London, Ser. A 456, 2569 (2000).
J. Garnier, Tassement et contraintes. Influence de la rigidité de la fondation et de l’anisotropie du massif, PhD Thesis, Université de Grenoble (1973).
With CAST3M, see http://www.castem.org:8001.
J. Jenkins, private communication.
M. Oda, S. Nemat-Nasser, J. Konishi, Oils Fundat. 25, 85 (1985).
F. Radjai, D. Wolf, M. Jean, J.-J. Moreau, Phys. Rev. Lett. 80, 61 (1998).
E. Kolb, J. Cviklinski, J. Lanuza, P. Claudin, E. Clément, Phys. Rev. E 69, 031306 (2004).
F. Leonforte, A. Tanguy, J.P. Wittmer, J.-L. Barrat, Phys. Rev. B 70, 014203 (2004).
C.F. Moukarzel, H. Pacheco-Martinaez, J.C. Ruiz-Suarez, A.M. Vidales, Granular Matter 6, 61 (2004).
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Atman, A.P.F., Brunet, P., Geng, J. et al. From the stress response function (back) to the sand pile “dip”. Eur. Phys. J. E 17, 93–100 (2005). https://doi.org/10.1140/epje/i2005-10002-2
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DOI: https://doi.org/10.1140/epje/i2005-10002-2