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Volumn , Issue , 2005, Pages 23-43

Response Functions in Isostatic Packings

Author keywords

Consequences of isostaticity; Contact networks; Physics of granular media; Response functions in isostatic packings; Rigidity considerations; Specific examples; Static properties

Indexed keywords

RIGIDITY;

EID: 84891760324     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/352760362X.ch2     Document Type: Chapter
Times cited : (4)

References (54)
  • 1
    • 0030524525 scopus 로고    scopus 로고
    • Granular solids, liquids, and gases
    • October
    • H.M. Jaeger, S.R. Nagel, and R.P. Behringer. Granular solids, liquids, and gases. Rev. Mod. Phys., 68(4):1259, October 1996.
    • (1996) Rev. Mod. Phys. , vol.68 , Issue.4 , pp. 1259
    • Jaeger, H.M.1    Nagel, S.R.2    Behringer, R.P.3
  • 3
    • 0033096572 scopus 로고    scopus 로고
    • Granular matter: a tentative view
    • March
    • P.G. de Gennes. Granular matter: a tentative view. Rev. Mod. Phys., 71:S374, March 1999.
    • (1999) Rev. Mod. Phys. , vol.71 , pp. S374
    • de Gennes, P.G.1
  • 6
    • 0029330201 scopus 로고
    • Stress-distribution in granular media and nonlinear-wave equation
    • June
    • J.P. Bouchaud, M.E. Cates, and P. Claudin. Stress-distribution in granular media and nonlinear-wave equation. J. Phys. I, 5(6):639, June 1995.
    • (1995) J. Phys. I , vol.5 , Issue.6 , pp. 639
    • Bouchaud, J.P.1    Cates, M.E.2    Claudin, P.3
  • 7
    • 0029661814 scopus 로고    scopus 로고
    • An explanation for the central stress minimum in sand piles
    • July 25
    • J.P. Wittmer, P. Claudin, M.E. Cates, and J.P. Bouchaud. An explanation for the central stress minimum in sand piles. Nature, 382(6589):336, July 25 1996.
    • (1996) Nature , vol.382 , Issue.6589 , pp. 336
    • Wittmer, J.P.1    Claudin, P.2    Cates, M.E.3    Bouchaud, J.P.4
  • 8
    • 0001278888 scopus 로고    scopus 로고
    • Nonlocal approach to the analysis of the stress distribution in granular systems. i. theoretical framework
    • May
    • V.M. Kenkre, J.E. Scott, E.A. Pease, and A.J. Hurd. Nonlocal approach to the analysis of the stress distribution in granular systems. i. theoretical framework. Phys. Rev. E, 57(5):5841, May 1998.
    • (1998) Phys. Rev. E , vol.57 , Issue.5 , pp. 5841
    • Kenkre, V.M.1    Scott, J.E.2    Pease, E.A.3    Hurd, A.J.4
  • 9
    • 0035584002 scopus 로고    scopus 로고
    • Spatial memories and correlation functions in the theory of stress distribution in granular materials
    • March
    • V.M. Kenkre. Spatial memories and correlation functions in the theory of stress distribution in granular materials. Granul. Matter, 3(1-2):23, March 2001.
    • (2001) Granul. Matter , vol.3 , Issue.1-2 , pp. 23
    • Kenkre, V.M.1
  • 10
    • 0004567810 scopus 로고    scopus 로고
    • Force chain splitting in granular materials: A mechanism for large-scale pseudo-elastic behaviour
    • April
    • J.P. Bouchaud, P. Claudin, D. Levine, and M. Otto. Force chain splitting in granular materials: A mechanism for large-scale pseudo-elastic behaviour. Eur. Phys. J. E, 4(4):451, April 2001.
    • (2001) Eur. Phys. J. E , vol.4 , Issue.4 , pp. 451
    • Bouchaud, J.P.1    Claudin, P.2    Levine, D.3    Otto, M.4
  • 11
    • 0037135915 scopus 로고    scopus 로고
    • Force chains, microelasticity, and macroelasticity
    • August 19
    • C. Goldenberg and I. Goldhirsch. Force chains, microelasticity, and macroelasticity. Phys. Rev. Lett., 89(8), August 19 2002.
    • (2002) Phys. Rev. Lett. , vol.89 , Issue.8
    • Goldenberg, C.1    Goldhirsch, I.2
  • 12
    • 0346582905 scopus 로고    scopus 로고
    • Stress propagation in two-dimensional frictional granular matter
    • cond-mat/0208214
    • R. da Silveira, G. Vidalenc, and C. Gay. Stress propagation in two-dimensional frictional granular matter, 2002. cond-mat/0208214.
    • (2002)
    • da Silveira, R.1    Vidalenc, G.2    Gay, C.3
  • 13
    • 84953770526 scopus 로고    scopus 로고
    • Anisotropic elastic theory of preloaded granular media
    • cond-mat/0208155
    • C. Gay and R. da Silveira. Anisotropic elastic theory of preloaded granular media, 2002. cond-mat/0208155.
    • (2002)
    • Gay, C.1    da Silveira, R.2
  • 14
    • 84874829511 scopus 로고    scopus 로고
    • Anisotropy in granular media: Classical elasticity and directed-force chain network
    • March
    • M. Otto, J.P. Bouchaud, P. Claudin, and J.E.S. Socolar. Anisotropy in granular media: Classical elasticity and directed-force chain network. Phys. Rev. E, 67(3):031302, March 2003.
    • (2003) Phys. Rev. E , vol.67 , Issue.3
    • Otto, M.1    Bouchaud, J.P.2    Claudin, P.3    Socolar, J.E.S.4
  • 15
    • 9944240306 scopus 로고    scopus 로고
    • Small and large scale granular statistics
    • cond-mat/0003180
    • C. Goldenberg and I. Goldhirsch. Small and large scale granular statistics, 2003. Granular Matter, 6(2-3), 2004. cond-mat/0003180.
    • (2003) Granular Matter , vol.6 , Issue.2-3 , pp. 2004
    • Goldenberg, C.1    Goldhirsch, I.2
  • 16
    • 0032606954 scopus 로고    scopus 로고
    • Force distribution in a scalar model for noncohesive granular material
    • August 1999
    • M.G. Sexton, J.E.S. Socolar, and D.G. Schaeffer. Force distribution in a scalar model for noncohesive granular material. Phys. Rev. E, 60(2):1999, August 1999.
    • (1999) Phys. Rev. E , vol.60 , Issue.2
    • Sexton, M.G.1    Socolar, J.E.S.2    Schaeffer, D.G.3
  • 17
    • 0000921716 scopus 로고    scopus 로고
    • Static avalanches and giant stress fluctuations in silos
    • January 13
    • P. Claudin and J.P. Bouchaud. Static avalanches and giant stress fluctuations in silos. Phys. Rev. Lett., 78(2):231, January 13 1997.
    • (1997) Phys. Rev. Lett. , vol.78 , Issue.2 , pp. 231
    • Claudin, P.1    Bouchaud, J.P.2
  • 18
    • 0030648010 scopus 로고    scopus 로고
    • Stress propagation and arching in static sandpiles
    • January
    • J.P. Wittmer, M.E. Cates, and P. Claudin. Stress propagation and arching in static sandpiles. J. Phys. I, 7(1):39, January 1997.
    • (1997) J. Phys. I , vol.7 , Issue.1 , pp. 39
    • Wittmer, J.P.1    Cates, M.E.2    Claudin, P.3
  • 19
    • 0000774118 scopus 로고    scopus 로고
    • Stresses in silos: Comparison between theoretical models and new experiments
    • February 14
    • L. Vanel, P. Claudin, J.P. Bouchaud, M.E. Cates, E. Clement, and J.P. Wittmer. Stresses in silos: Comparison between theoretical models and new experiments. Phys. Rev. Lett., 84(7):1439, February 14 2000.
    • (2000) Phys. Rev. Lett. , vol.84 , Issue.7 , pp. 1439
    • Vanel, L.1    Claudin, P.2    Bouchaud, J.P.3    Cates, M.E.4    Clement, E.5    Wittmer, J.P.6
  • 20
    • 0032292645 scopus 로고    scopus 로고
    • Reflections on the mechanics of granular matter
    • December 15
    • P.G. de Gennes. Reflections on the mechanics of granular matter. Physica A, 261(3-4):267, December 15 1998.
    • (1998) Physica A , vol.261 , Issue.3-4 , pp. 267
    • de Gennes, P.G.1
  • 21
    • 0000703748 scopus 로고    scopus 로고
    • Isostatic phase transition and instability in stiff granular materials
    • August 24
    • C.F. Moukarzel. Isostatic phase transition and instability in stiff granular materials. Phys. Rev. Lett., 81(8):1634, August 24 1998.
    • (1998) Phys. Rev. Lett. , vol.81 , Issue.8 , pp. 1634
    • Moukarzel, C.F.1
  • 23
    • 0035578924 scopus 로고    scopus 로고
    • Isostaticity in granular matter
    • March
    • C.F. Moukarzel. Isostaticity in granular matter. Granul. Matter, 3(1-2):41, March 2001.
    • (2001) Granul. Matter , vol.3 , Issue.1-2 , pp. 41
    • Moukarzel, C.F.1
  • 24
    • 84953743457 scopus 로고    scopus 로고
    • Random multiplicative response functions in granular contact networks
    • C.F. Moukarzel. Random multiplicative response functions in granular contact networks. Advances in Complex Systems, 4(4):523, 2001.
    • (2001) Advances in Complex Systems , vol.4 , Issue.4 , pp. 523
    • Moukarzel, C.F.1
  • 25
    • 0037061078 scopus 로고    scopus 로고
    • Random multiplicative processes and the response functions of granular packings
    • March 11
    • C.F. Moukarzel. Random multiplicative processes and the response functions of granular packings. J. Phys.-Condes. Matter, 14(9):2379, March 11 2002.
    • (2002) J. Phys.-Condes. Matter , vol.14 , Issue.9 , pp. 2379
    • Moukarzel, C.F.1
  • 26
    • 0034206755 scopus 로고    scopus 로고
    • Geometric origin of mechanical properties of granular materials
    • June
    • J.N. Roux. Geometric origin of mechanical properties of granular materials. Phys. Rev. E, 61(6):6802, June 2000.
    • (2000) Phys. Rev. E , vol.61 , Issue.6 , pp. 6802
    • Roux, J.N.1
  • 27
    • 0001442125 scopus 로고    scopus 로고
    • Nonsmoothness, indeterminacy, and friction in twodimensional arrays of rigid particles
    • July
    • F. Radjai, L. Brendel, and S. Roux. Nonsmoothness, indeterminacy, and friction in twodimensional arrays of rigid particles. Phys. Rev. E, 54(1):861, July 1996.
    • (1996) Phys. Rev. E , vol.54 , Issue.1 , pp. 861
    • Radjai, F.1    Brendel, L.2    Roux, S.3
  • 28
    • 0000859251 scopus 로고    scopus 로고
    • A ball in a groove
    • December 13
    • T.C. Halsey and D. Ertas. A ball in a groove. Phys. Rev. Lett., 83(24):5007, December 13 1999.
    • (1999) Phys. Rev. Lett. , vol.83 , Issue.24 , pp. 5007
    • Halsey, T.C.1    Ertas, D.2
  • 30
    • 0001136724 scopus 로고    scopus 로고
    • Packing of compressible granular materials
    • May 1
    • H.A. Makse, D.L. Johnson, and L.M. Schwartz. Packing of compressible granular materials. Phys. Rev. Lett., 84(18):4160, May 1 2000.
    • (2000) Phys. Rev. Lett. , vol.84 , Issue.18 , pp. 4160
    • Makse, H.A.1    Johnson, D.L.2    Schwartz, L.M.3
  • 31
    • 0000273516 scopus 로고
    • Random multiplicative processes - an elementary tutorial
    • March
    • S. Redner. Random multiplicative processes - an elementary tutorial. Am. J. Phys., 58(3):267, March 1990.
    • (1990) Am. J. Phys. , vol.58 , Issue.3 , pp. 267
    • Redner, S.1
  • 32
    • 0009642457 scopus 로고
    • Structural rigidity
    • H. Crapo. Structural rigidity. Struct. Topol., 1(1):26, 1979.
    • (1979) Struct. Topol. , vol.1 , Issue.1 , pp. 26
    • Crapo, H.1
  • 33
    • 84968494918 scopus 로고
    • Infinitesimally rigid polyhedra .1. statics of frameworks
    • W. Whiteley. Infinitesimally rigid polyhedra .1. statics of frameworks. Trans. Am. Math. Soc., 285(2):431, 1984.
    • (1984) Trans. Am. Math. Soc. , vol.285 , Issue.2 , pp. 431
    • Whiteley, W.1
  • 34
    • 0026821495 scopus 로고
    • Conditions for unique graph realizations
    • February
    • B. Hendrickson. Conditions for unique graph realizations. SIAM J. Comput., 21(1):65, February 1992.
    • (1992) SIAM J. Comput. , vol.21 , Issue.1 , pp. 65
    • Hendrickson, B.1
  • 35
    • 0032019186 scopus 로고    scopus 로고
    • Amorphous solids: Their structure, lattice dynamics and elasticity
    • March
    • S. Alexander. Amorphous solids: Their structure, lattice dynamics and elasticity. Phys. Rep.-Rev. Sec. Phys. Lett., 296(2-4):65, March 1998.
    • (1998) Phys. Rep.-Rev. Sec. Phys. Lett. , vol.296 , Issue.2-4 , pp. 65
    • Alexander, S.1
  • 38
    • 0030501958 scopus 로고    scopus 로고
    • Power laws are logarithmic boltzmann laws
    • August
    • M. Levy and S. Solomon. Power laws are logarithmic boltzmann laws. Int. J. Mod. Phys. C-Phys. Comput., 7(4):595, August 1996.
    • (1996) Int. J. Mod. Phys. C-Phys. Comput. , vol.7 , Issue.4 , pp. 595
    • Levy, M.1    Solomon, S.2
  • 39
    • 0031207936 scopus 로고    scopus 로고
    • Stable infinite variance fluctuations in randomly amplified langevin systems
    • August 11
    • H. Takayasu, A.H. Sato, and M. Takayasu. Stable infinite variance fluctuations in randomly amplified langevin systems. Phys. Rev. Lett., 79(6):966, August 11 1997.
    • (1997) Phys. Rev. Lett. , vol.79 , Issue.6 , pp. 966
    • Takayasu, H.1    Sato, A.H.2    Takayasu, M.3
  • 40
    • 0000600115 scopus 로고    scopus 로고
    • Multiplicative processes and power laws
    • April
    • D. Sornette. Multiplicative processes and power laws. Phys. Rev. E, 57(4):4811, April 1998.
    • (1998) Phys. Rev. E , vol.57 , Issue.4 , pp. 4811
    • Sornette, D.1
  • 41
    • 0000531783 scopus 로고    scopus 로고
    • Power-law distributions and levy-stable intermittent fluctuations in stochastic systems of many autocatalytic elements
    • August
    • O. Malcai, O. Biham, and S. Solomon. Power-law distributions and levy-stable intermittent fluctuations in stochastic systems of many autocatalytic elements. Phys. Rev. E, 60(2):1299, August 1999.
    • (1999) Phys. Rev. E , vol.60 , Issue.2 , pp. 1299
    • Malcai, O.1    Biham, O.2    Solomon, S.3
  • 42
    • 4243351308 scopus 로고    scopus 로고
    • Models of stress fluctuations in granular media
    • April
    • P. Claudin, J.P. Bouchaud, M.E. Cates, and J.P.Wittmer. Models of stress fluctuations in granular media. Phys. Rev. E, 57(4):4441, April 1998.
    • (1998) Phys. Rev. E , vol.57 , Issue.4 , pp. 4441
    • Claudin, P.1    Bouchaud, J.P.2    Cates, M.E.3    Wittmer, J.P.4
  • 43
    • 0032606407 scopus 로고    scopus 로고
    • Stress propagation through frictionless granular material
    • July
    • A.V. Tkachenko and T.A.Witten. Stress propagation through frictionless granular material. Phys. Rev. E, 60(1):687, July 1999.
    • (1999) Phys. Rev. E , vol.60 , Issue.1 , pp. 687
    • Tkachenko, A.V.1    Witten, T.A.2
  • 44
    • 0035580937 scopus 로고    scopus 로고
    • Simulation of granular compacts in two dimensions
    • March
    • A.M. Vidales, V.M. Kenkre, and A. Hurd. Simulation of granular compacts in two dimensions. Granul. Matter, 3(1-2):141, March 2001.
    • (2001) Granul. Matter , vol.3 , Issue.1-2 , pp. 141
    • Vidales, A.M.1    Kenkre, V.M.2    Hurd, A.3
  • 45
    • 0034239247 scopus 로고    scopus 로고
    • Stress in frictionless granular material: Adaptive network simulations
    • August
    • A.V. Tkachenko and T.A. Witten. Stress in frictionless granular material: Adaptive network simulations. Phys. Rev. E, 62(2):2510, August 2000.
    • (2000) Phys. Rev. E , vol.62 , Issue.2 , pp. 2510
    • Tkachenko, A.V.1    Witten, T.A.2
  • 46
    • 84956273067 scopus 로고
    • Compaction of well-coordinated lubricated granular pilings
    • November 10
    • S. Ouaguenouni and J.N. Roux. Compaction of well-coordinated lubricated granular pilings. Europhys. Lett., 32(5):449, November 10 1995.
    • (1995) Europhys. Lett. , vol.32 , Issue.5 , pp. 449
    • Ouaguenouni, S.1    Roux, J.N.2
  • 47
    • 0031571019 scopus 로고    scopus 로고
    • Force distribution in frictionless granular packings at rigidity threshold
    • July 15
    • S. Ouaguenouni and J.N. Roux. Force distribution in frictionless granular packings at rigidity threshold. Europhys. Lett., 39(2):117, July 15 1997.
    • (1997) Europhys. Lett. , vol.39 , Issue.2 , pp. 117
    • Ouaguenouni, S.1    Roux, J.N.2
  • 48
    • 0035463696 scopus 로고    scopus 로고
    • Robust propagation direction of stresses in a minimal granular packing
    • September
    • D.A. Head, A.V. Tkachenko, and T.A. Witten. Robust propagation direction of stresses in a minimal granular packing. Eur. Phys. J. E, 6(1):99, September 2001.
    • (2001) Eur. Phys. J. E , vol.6 , Issue.1 , pp. 99
    • Head, D.A.1    Tkachenko, A.V.2    Witten, T.A.3
  • 49
    • 0036525078 scopus 로고    scopus 로고
    • Reply to the comment by J.N. Roux on "robust propagation direction of stresses in a minimal granular packing"
    • March
    • D.A. Head, A.V. Tkachenko, and T.A. Witten. Reply to the comment by J.N. Roux on "robust propagation direction of stresses in a minimal granular packing". Eur. Phys. J. E, 7(3):299, March 2002.
    • (2002) Eur. Phys. J. E , vol.7 , Issue.3 , pp. 299
    • Head, D.A.1    Tkachenko, A.V.2    Witten, T.A.3
  • 51
    • 0038347379 scopus 로고    scopus 로고
    • Force-displacement distributions and percolation properties in simulated 2-d packings
    • July 15
    • A.M. Vidales, I. Ippolito, and C. Moukarzel. Force-displacement distributions and percolation properties in simulated 2-d packings. Physica A, 325(3-4):297, July 15 2003.
    • (2003) Physica A , vol.325 , Issue.3-4 , pp. 297
    • Vidales, A.M.1    Ippolito, I.2    Moukarzel, C.3
  • 53
    • 0030597478 scopus 로고    scopus 로고
    • An efficient algorithm for testing the generic rigidity of graphs in the plane
    • December 21
    • C. Moukarzel. An efficient algorithm for testing the generic rigidity of graphs in the plane. J. Phys. A-Math. Gen., 29(24):8079, December 21 1996.
    • (1996) J. Phys. A-Math. Gen. , vol.29 , Issue.24 , pp. 8079
    • Moukarzel, C.1
  • 54
    • 0036525078 scopus 로고    scopus 로고
    • Comment on "robust propagation direction of stresses in a minimal granular packing"
    • March
    • J.N. Roux. Comment on "robust propagation direction of stresses in a minimal granular packing". Eur. Phys. J. E, 7(3):297, March 2002.
    • (2002) Eur. Phys. J. E , vol.7 , Issue.3 , pp. 297
    • Roux, J.N.1


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