Comptes Rendus
Physique de la matière en grains/Physics of granular media
The stress response function in granular materials
Comptes Rendus. Physique, Volume 3 (2002) no. 2, pp. 141-151.

We discuss the relevance the study of the stress response function in granular materials, i.e. of the stress profile under a layer of grains submitted to a localized force at its top surface. We first present a quantitative comparison between the experimental measure of this function with isotropic elastic predictions. We then give a description in terms of a model of force chains.

Nous discutons l'intérêt de l'étude de la function de réponse dans les matériaux granulaires, c'est à dire du profil de pression sous une couche de grain soumise à une surcharge localisée à sa surface. Nous présentons d'abord une comparaison quantitative entre la mesure expérimentale de cette fonction avec les prédictions de la théorie élastique isotrope. Nous donnons ensuite une description en termes d'un modèle de chaı̂nes de force.

Received:
Accepted:
Published online:
DOI: 10.1016/S1631-0705(02)01307-5
Keywords: stress response, elasticity, force chains
Mot clés : réponse en contrainte, élasticité, chaı̂nes des force

Jean-Philippe Bouchaud 1; Philippe Claudin 2; Eric Clément 2; Matthias Otto 1; Guillaume Reydellet 2

1 Service de physique de l'état condensé, CEA-Saclay, Orme des Merisiers, 91191 Gif-sur-Yvette cedex, France
2 Laboratoire des milieux désordonnés et hétérogènes (UMR 7603 du CNRS), 4, place Jussieu, case 86, 75252 Paris cedex 05, France
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Jean-Philippe Bouchaud; Philippe Claudin; Eric Clément; Matthias Otto; Guillaume Reydellet. The stress response function in granular materials. Comptes Rendus. Physique, Volume 3 (2002) no. 2, pp. 141-151. doi : 10.1016/S1631-0705(02)01307-5. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/S1631-0705(02)01307-5/

[1] J. Šmı́d; J. Novosad Proc. Powtech. Conference, 1981, Ind. Chem. Eng. Symp., 63 (1981) (D3V 1)

[2] R. Brockbank; J.M. Huntley; R.C. Ball J. Phys. (France) II, 7 (1997), p. 1521

[3] S.B. Savage Physics of Dry Granular Media (H.J. Herrmann; J.P. Hovi; S. Luding, eds.), NATO ASI, 25, 1997

[4] L. Vanel; D.W. Howell; D. Clark; R.P. Behringer; E. Clément Phys. Rev. E, 60 (1999), p. R5040

[5] P.-G. de Gennes Physica A, 261 (1998), p. 293

[6] P.-G. de Gennes Rev. Mod. Phys., 71 (1999), p. S374

[7] J. Geng; E. Longhi; R.P. Behringer; D.W. Howell Memory in 2D heap experiments | arXiv

[8] P. Dantu Ann. Ponts Chaussées, 4 (1967), p. 144

[9] G. Josselin de Jong; A. Verruijt Cah. Groupe Fr. Rheol., 2 (1969), p. 73

[10] F. Calvetti; G. Combe; J. Lanier Mech. Coh. Frict. Mat., 2 (1997), p. 121

[11] F. Radjai; S. Roux Proc. Meeting ‘Powders and Grains’ (Kishino, ed.), Balkema, Lisse, 2001, p. 21

[12] F. Radjai; D.E. Wolf; M. Jean; J.J. Moreau Phys. Rev. Lett., 80 (1998), p. 61

[13] D. Mueth; H. Jaeger; S. Nagel Phys. Rev. E, 57 (1998), p. 3164

[14] D.M. Wood Soil Behaviour and Critical State Soil Mechanics, Cambridge University Press, Cambridge, 1990

[15] G. Combe; J.-N. Roux Phys. Rev. Lett., 85 (2000), p. 3628

[16] J.-P. Bouchaud; M.E. Cates; P. Claudin J. Phys. (France) I, 5 (1995), p. 639

[17] J.P. Wittmer; P. Claudin; M.E. Cates; J.-P. Bouchaud Nature, 382 (1996), p. 336

[18] J.P. Wittmer; P. Claudin; M.E. Cates J. Phys. (France) I, 7 (1997), p. 39

[19] J.-P. Bouchaud; P. Claudin; M.E. Cates; J.P. Wittmer Physics of Dry Granular Media (H.J. Herrmann; J.P. Hovi; S. Luding, eds.), NATO ASI, 97, 1997

[20] P. Claudin Ann. Phys., 24 (1999), p. 1

[21] R.M. Nedderman Statics and Kinematics of Granular Materials, Cambridge University Press, 1992

[22] P. Claudin; J.-P. Bouchaud; M.E. Cates; J.P. Wittmer Phys. Rev. E, 57 (1998), p. 4441

[23] L. Vanel; P. Claudin; J.-P. Bouchaud; M.E. Cates; E. Clément; J.P. Wittmer Phys. Rev. Lett., 84 (2000), p. 1439

[24] M.E. Cates; J.P. Wittmer; J.-P. Bouchaud; P. Claudin Phys. Rev. Lett., 81 (1998), p. 1841

[25] J.-N. Roux Phys. Rev. E, 61 (2000), p. 6802

[26] C.F. Moukarzel Phys. Rev. Lett., 81 (1998), p. 1634

[27] S.F. Edwards Physica A, 249 (1998), p. 226

[28] S.F. Edwards; D.V. Grinev Phys. Rev. Lett., 82 (1999), p. 5397

[29] V. Tkachenko; T.A. Witten Phys. Rev. E, 60 (1999), p. 687

[30] V. Tkachenko; T.A. Witten Phys. Rev. E, 62 (2000), p. 2510

[31] C.-h Liu; S.R. Nagel; D.A. Schecter; S.N. Coppersmith; S. Majumdar; O. Narayan; T.A. Witten Science, 269 (1995), p. 513

[32] S.N. Coppersmith; C.-h Liu; S. Majumdar; O. Narayan; T.A. Witten Phys. Rev. E, 53 (1996), p. 4673

[33] G. Reydellet; E. Clément Phys. Rev. Lett., 86 (2001), p. 3308

[34] J. Geng; D. Howell; E. Longhi; R.P. Behringer; G. Reydellet; L. Vanel; E. Clément; S. Luding Phys. Rev. Lett., 87 (2001), p. 035506

[35] N. Mueggenburg, H. Jaeger, S. Nagel, in preparation

[36] M. da Silva; J. Rajchenbach Nature, 406 (2000), p. 70

[37] J.-J. Moreau Proc. Colloque ‘Physique et mécanique des matériaux granulaires’, Champs-sur-Marne, France, 2000, p. 199

[38] D. Bonamy, PhD thesis, in preparation

[39] D.A. Head; A.V. Tkachenko; T.A. Witten Robust propagation direction of stresses in a minimal granular packing, Eur. Phys. J. E, Volume 6 (2001), p. 99

[40] C. Eloy; E. Clément J. Phys. I, 7 (1997), p. 1541

[41] L. Breton, P. Claudin, E. Clément, J.-D. Zucker, in preparation

[42] C. Goldenberg; I. Goldhirsch Force chains, microelasticity and macroelasticity | arXiv

[43] D. Serero; G. Reydellet; P. Claudin; E. Clément; D. Levine Stress response function of a granular layer: quantitative comparison between experiments and isotropic elasticity | arXiv

[44] J. Garnier, Tassement et contraintes. Influence de la rigidité de la fondation et de l'anisotropie du massif, PhD thesis, Université de Grenoble, 1973

[45] E. Clément; G. Reydellet; L. Vanel; D.W. Howell; J. Geng; R.P. Behringer, XIIIth Int. Cong. on Rheology, Cambridge, UK, 2, 2000, p. 426

[46] J.-P. Bouchaud; P. Claudin; D. Levine; M. Otto Eur. Phys. J. E, 4 (2001), p. 451

[47] L. Landau; E. Lifshitz Elasticity theory, Pergamon, New York, 1986

[48] K.L. Johnson Contact Mechanics, Cambridge University Press, Cambridge, 1985

[49] M.E. Cates; J.P. Wittmer; J.-P. Bouchaud; P. Claudin Phil. Trans. Roy. Soc. London A, 356 (1998), p. 2535

[50] M.C.W. van Rossum; Th.M. Nieuwenhuizen Rev. Mod. Phys., 71 (1999), p. 313

[51] Y. Roichman, D. Levine, Scattering force chains: propagating stress in granular matter, preprint

[52] M. Otto, J.-P. Bouchaud, P. Claudin, I.E.S. Socolar, in preparation

[53] I.E.S. Socolar; D.G. Schaeffes; P. Claudin | arXiv

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