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Volumn 49, Issue , 2013, Pages 289-298

Three-dimensional granular contact dynamics with rolling resistance

Author keywords

Contact dynamics; DEM; Discrete element method; Rolling resistance

Indexed keywords

CONTACT DYNAMICS; DEM; GOVERNING EQUATIONS; GRANULAR COLUMNS; SPHERICAL GEOMETRIES; STATIC AND DYNAMIC;

EID: 84874305396     PISSN: 0266352X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compgeo.2012.08.007     Document Type: Article
Times cited : (59)

References (60)
  • 1
    • 0348006618 scopus 로고    scopus 로고
    • On implementing a primal-dual interior-point method for conic quadratic optimization
    • Andersen E.D., Roos C., Terlaky T. On implementing a primal-dual interior-point method for conic quadratic optimization. Mathe Programm 2003, 95:249-277.
    • (2003) Mathe Programm , vol.95 , pp. 249-277
    • Andersen, E.D.1    Roos, C.2    Terlaky, T.3
  • 2
    • 0037058316 scopus 로고    scopus 로고
    • A time-stepping method for stiff multi-rigid-body dynamics with contact and friction
    • Anitescu M., Potra F.A. A time-stepping method for stiff multi-rigid-body dynamics with contact and friction. Int J Numer Meth Eng 2002, 55:753-784.
    • (2002) Int J Numer Meth Eng , vol.55 , pp. 753-784
    • Anitescu, M.1    Potra, F.A.2
  • 3
    • 83455173505 scopus 로고    scopus 로고
    • An upper bound-based solution for the shape factors of bearing capacity of footings under drained conditions using a parallelized mixed f.e. formulation with quadratic velocity fields
    • Antao A.N., da Silva M. Vicente, Guerra N., Delgado R. An upper bound-based solution for the shape factors of bearing capacity of footings under drained conditions using a parallelized mixed f.e. formulation with quadratic velocity fields. Comput Geotech 2012, 41:23-35.
    • (2012) Comput Geotech , vol.41 , pp. 23-35
    • Antao, A.N.1    da Silva, M.V.2    Guerra, N.3    Delgado, R.4
  • 4
    • 23744434145 scopus 로고    scopus 로고
    • The effect of contact torques on porosity of cohesive powders
    • Bartels G., Unger T., Kadau D., Wolf D.E., Kertesz J. The effect of contact torques on porosity of cohesive powders. Granul Matt 2005, 7:139-143.
    • (2005) Granul Matt , vol.7 , pp. 139-143
    • Bartels, G.1    Unger, T.2    Kadau, D.3    Wolf, D.E.4    Kertesz, J.5
  • 5
    • 0003878614 scopus 로고    scopus 로고
    • Lectures on modern convex optimization: analysis, algorithms, and engineering applications.
    • Ben-Tal A, Nemirovski A. Lectures on modern convex optimization: analysis, algorithms, and engineering applications. MPS-SIAM Series on Optimization; 2001.
    • (2001) MPS-SIAM Series on Optimization
    • Ben-Tal, A.1    Nemirovski, A.2
  • 6
    • 0029719306 scopus 로고    scopus 로고
    • A nonlinear optimization procedure for limit analysis
    • Borges L.A., Zouain N., Huespe A.E. A nonlinear optimization procedure for limit analysis. Euro J Mech, A/Solids 1996, 15(3)::487-512.
    • (1996) Euro J Mech, A/Solids , vol.15 , Issue.3 , pp. 487-512
    • Borges, L.A.1    Zouain, N.2    Huespe, A.E.3
  • 7
    • 0018441375 scopus 로고
    • A discrete numerical model for granular assemblies
    • Cundall P.A., Strack O.D.L. A discrete numerical model for granular assemblies. Geotechnique 1979, 29:47-65.
    • (1979) Geotechnique , vol.29 , pp. 47-65
    • Cundall, P.A.1    Strack, O.D.L.2
  • 8
    • 1142274207 scopus 로고    scopus 로고
    • Improving the density of jammed disordered packings using ellipsoids
    • Donev A., Cisse I., Sachs D., Variano E.A., Stillinger F.H., Connelly R., et al. Improving the density of jammed disordered packings using ellipsoids. Science 2004, 303(5660):990-993.
    • (2004) Science , vol.303 , Issue.5660 , pp. 990-993
    • Donev, A.1    Cisse, I.2    Sachs, D.3    Variano, E.A.4    Stillinger, F.H.5    Connelly, R.6
  • 9
    • 79961115928 scopus 로고    scopus 로고
    • Identification of rolling resistance as a shape parameter in sheared granular media
    • Estrada N., Azema E., Radjai F., Taboada A. Identification of rolling resistance as a shape parameter in sheared granular media. Phys Rev E 2011, 84:011306.
    • (2011) Phys Rev E , vol.84 , pp. 011306
    • Estrada, N.1    Azema, E.2    Radjai, F.3    Taboada, A.4
  • 10
    • 0033350054 scopus 로고    scopus 로고
    • The non-smooth contact dynamics method
    • Jean M. The non-smooth contact dynamics method. Comput Meth Appl Mech Eng 1999, 177:235-257.
    • (1999) Comput Meth Appl Mech Eng , vol.177 , pp. 235-257
    • Jean, M.1
  • 11
    • 79958172260 scopus 로고    scopus 로고
    • A micromechanical model of collapsing quicksand
    • Kadau D, Jr, Herrman HJ. A micromechanical model of collapsing quicksand. Granul Matt 2011;13:219-23.
    • (2011) Granul Matt , vol.13 , pp. 219-23
    • Kadau Jr., D.1    Herrman, H.J.2
  • 13
    • 20444373372 scopus 로고    scopus 로고
    • Dam break with Coulomb friction: a model for granular slumping?
    • Kerswell R.R. Dam break with Coulomb friction: a model for granular slumping?. Phys Fluids 2005, 17:057101.
    • (2005) Phys Fluids , vol.17 , pp. 057101
    • Kerswell, R.R.1
  • 14
    • 0037435658 scopus 로고    scopus 로고
    • A general nonlinear optimization algorithm for lower bound limit analysis
    • Krabbenhoft K., Damkilde L. A general nonlinear optimization algorithm for lower bound limit analysis. Int J Numer Meth Eng 2003, 56:165-184.
    • (2003) Int J Numer Meth Eng , vol.56 , pp. 165-184
    • Krabbenhoft, K.1    Damkilde, L.2
  • 16
    • 84855177628 scopus 로고    scopus 로고
    • Computational Cam clay plasticity using second-order cone programming
    • Krabbenhoft K., Lyamin A.V. Computational Cam clay plasticity using second-order cone programming. Comput Meth Appl Mech Eng 2012, 209-212:239-249.
    • (2012) Comput Meth Appl Mech Eng , pp. 239-249
    • Krabbenhoft, K.1    Lyamin, A.V.2
  • 17
    • 84860534404 scopus 로고    scopus 로고
    • Granular contact dynamics using mathematical programming methods
    • Krabbenhoft K., Lyamin A.V., Huang J., da Silva M.V. Granular contact dynamics using mathematical programming methods. Comput Geotech 2012, 43:165-176.
    • (2012) Comput Geotech , vol.43 , pp. 165-176
    • Krabbenhoft, K.1    Lyamin, A.V.2    Huang, J.3    da Silva, M.V.4
  • 18
    • 33846103988 scopus 로고    scopus 로고
    • Formulation and solution of some plasticity problems as conic programs
    • Krabbenhoft K., Lyamin A.V., Sloan S.W. Formulation and solution of some plasticity problems as conic programs. Int J Solids Struct 2007, 44:1533-1549.
    • (2007) Int J Solids Struct , vol.44 , pp. 1533-1549
    • Krabbenhoft, K.1    Lyamin, A.V.2    Sloan, S.W.3
  • 19
    • 57749203780 scopus 로고    scopus 로고
    • Three-dimensional Mohr-Coulomb limit analysis using semidefinite programming
    • Krabbenhoft K., Lyamin A.V., Sloan S.W. Three-dimensional Mohr-Coulomb limit analysis using semidefinite programming. Commun Numer Meth Eng 2008, 24:1107-1119.
    • (2008) Commun Numer Meth Eng , vol.24 , pp. 1107-1119
    • Krabbenhoft, K.1    Lyamin, A.V.2    Sloan, S.W.3
  • 20
    • 63649161008 scopus 로고    scopus 로고
    • Axisymmetric granular collapse: a transient 3D flow test of viscoplasticity
    • Lacaze L., Kerswell R.R. Axisymmetric granular collapse: a transient 3D flow test of viscoplasticity. Phys Rev Lett 2009, 102:108305.
    • (2009) Phys Rev Lett , vol.102 , pp. 108305
    • Lacaze, L.1    Kerswell, R.R.2
  • 21
    • 47149116473 scopus 로고    scopus 로고
    • Planar collapse of a granular column: experiments and discrete element simulations
    • Lacaze L., Phillips J.C., Kerswell R.R. Planar collapse of a granular column: experiments and discrete element simulations. Phys Fluids 2008, 20:063302.
    • (2008) Phys Fluids , vol.20 , pp. 063302
    • Lacaze, L.1    Phillips, J.C.2    Kerswell, R.R.3
  • 22
    • 0016568353 scopus 로고
    • Elastoplastic stress-strain theory for cohesionless soil
    • Lade P.V., Duncan J.M. Elastoplastic stress-strain theory for cohesionless soil. J Geotech Eng Div, ASCE 1975, 101:1037-1053.
    • (1975) J Geotech Eng Div, ASCE , vol.101 , pp. 1037-1053
    • Lade, P.V.1    Duncan, J.M.2
  • 23
    • 84874335223 scopus 로고    scopus 로고
    • The granular column collapse as a continuum: validity of a two-dimensional Navier-Stokes model with a μ(i)-rheology.
    • In press.
    • Lagree PY, Staron L, Popinet S. The granular column collapse as a continuum: validity of a two-dimensional Navier-Stokes model with a μ(i)-rheology. J Fluid Mech, In press.
    • J Fluid Mech
    • Lagree, P.Y.1    Staron, L.2    Popinet, S.3
  • 25
    • 28844496709 scopus 로고    scopus 로고
    • Collapses of two-dimensional granular columns
    • Lube G., Sparks H.E.H.R.S.J., Freundt A. Collapses of two-dimensional granular columns. Phys Rev E 2005, 72:041301.
    • (2005) Phys Rev E , vol.72 , pp. 041301
    • Lube, G.1    Sparks, H.E.H.R.S.J.2    Freundt, A.3
  • 29
    • 0016352892 scopus 로고
    • Stress-deformation and strength characteristics of soil under three different principal stresses
    • Matsuoka H., Nakai T. Stress-deformation and strength characteristics of soil under three different principal stresses. Proc Jpn Soc Civil Eng 1974, 232:59-70.
    • (1974) Proc Jpn Soc Civil Eng , vol.232 , pp. 59-70
    • Matsuoka, H.1    Nakai, T.2
  • 30
    • 41349102728 scopus 로고    scopus 로고
    • Measurement of indeterminacy in packings of perfectly rigid disks
    • McNamara S., Herrmann H. Measurement of indeterminacy in packings of perfectly rigid disks. Phys Rev E 2004, 70:061303.
    • (2004) Phys Rev E , vol.70 , pp. 061303
    • McNamara, S.1    Herrmann, H.2
  • 31
    • 78049306466 scopus 로고    scopus 로고
    • Comprehensive study of the effects of rolling resistance on the stress strain and strain localization behavior of granular materials
    • Mohamed A., Gutierrez M. Comprehensive study of the effects of rolling resistance on the stress strain and strain localization behavior of granular materials. Granul Matt 2010, 12:527-541.
    • (2010) Granul Matt , vol.12 , pp. 527-541
    • Mohamed, A.1    Gutierrez, M.2
  • 32
    • 0002576773 scopus 로고
    • Bounded variation in time.
    • Panagiotopoulos PD, Strang G, editors.
    • Moreau JJ. Bounded variation in time. In: Panagiotopoulos PD, Strang G, editors. Topics in nonsmooth mechanics, vol. 1; 1987. p. 1-74.
    • (1987) Topics in nonsmooth mechanics , vol.1 , pp. 1-74
    • Moreau, J.J.1
  • 33
    • 0002576777 scopus 로고
    • Unilateral contact and dry friction in finite freedom dynamics
    • Springer, J.J. Moreau, P. Panagiotopoulos (Eds.) Non-smooth mechanics and applications
    • Moreau J.J. Unilateral contact and dry friction in finite freedom dynamics. CISM courses and lectures 1988, vol. 302. Springer, pp. 1-82. J.J. Moreau, P. Panagiotopoulos (Eds.).
    • (1988) CISM courses and lectures , vol.302 , pp. 1-82
    • Moreau, J.J.1
  • 34
    • 0002226904 scopus 로고
    • Some numerical methods in multibody dynamics: application to granular materials
    • Moreau J.J. Some numerical methods in multibody dynamics: application to granular materials. Euro J Mech A/Solids 1994, 13:93-114.
    • (1994) Euro J Mech A/Solids , vol.13 , pp. 93-114
    • Moreau, J.J.1
  • 35
    • 60949101655 scopus 로고    scopus 로고
    • Upper and lower bounds in limit analysis: adaptive meshing strategies and discontinuous loading
    • Munoz J., Bonet J., Huerta A., Peraire J. Upper and lower bounds in limit analysis: adaptive meshing strategies and discontinuous loading. Int J Numer Meth Eng 2009, 77:471-501.
    • (2009) Int J Numer Meth Eng , vol.77 , pp. 471-501
    • Munoz, J.1    Bonet, J.2    Huerta, A.3    Peraire, J.4
  • 36
    • 3042997015 scopus 로고    scopus 로고
    • Pressures from flowing granular solids in silos
    • Nielsen J. Pressures from flowing granular solids in silos. Philos Trans R Soc A 1998, 356:2667-2684.
    • (1998) Philos Trans R Soc A , vol.356 , pp. 2667-2684
    • Nielsen, J.1
  • 37
    • 0347504603 scopus 로고    scopus 로고
    • Influence of particle shape and angularity on the behavior of granular materials: a numerical analysis
    • Nouguier-Lehon C., Cambou B., Vincens E. Influence of particle shape and angularity on the behavior of granular materials: a numerical analysis. Int J Numer Anal Meth Geomech 2003, 27:1207-1226.
    • (2003) Int J Numer Anal Meth Geomech , vol.27 , pp. 1207-1226
    • Nouguier-Lehon, C.1    Cambou, B.2    Vincens, E.3
  • 38
    • 0001233839 scopus 로고    scopus 로고
    • Complementarity formulations and existence of solutions of dynamic multi-rigid-body contact problems with coulomb friction
    • Pang J.S., Trinkle J.C. Complementarity formulations and existence of solutions of dynamic multi-rigid-body contact problems with coulomb friction. Mathe Program 1996, 73:199-226.
    • (1996) Mathe Program , vol.73 , pp. 199-226
    • Pang, J.S.1    Trinkle, J.C.2
  • 39
    • 70349617969 scopus 로고    scopus 로고
    • A computational study of the use of an optimization-based method for simulating large multibody systems
    • Petraa C., Gavreab B., Anitescu M., Potraa F. A computational study of the use of an optimization-based method for simulating large multibody systems. Optimiz Meth Softw 2009, 24:871-894.
    • (2009) Optimiz Meth Softw , vol.24 , pp. 871-894
    • Petraa, C.1    Gavreab, B.2    Anitescu, M.3    Potraa, F.4
  • 40
    • 0000319412 scopus 로고    scopus 로고
    • Force distributions in dense two-dimensional granular systems
    • Radjai F., Michel J., Moreau J.J., Roux S. Force distributions in dense two-dimensional granular systems. Phys Rev Lett 1996, 77:274-277.
    • (1996) Phys Rev Lett , vol.77 , pp. 274-277
    • Radjai, F.1    Michel, J.2    Moreau, J.J.3    Roux, S.4
  • 41
    • 65049084306 scopus 로고    scopus 로고
    • Contact dynamics as a nonsmooth discrete element method
    • Radjai F., Richefeu V. Contact dynamics as a nonsmooth discrete element method. Mech Mater 2009, 41:715-728.
    • (2009) Mech Mater , vol.41 , pp. 715-728
    • Radjai, F.1    Richefeu, V.2
  • 42
    • 2942514294 scopus 로고    scopus 로고
    • A parallel version of the non smooth contact dynamics algorithm applied to the simulation of granular media
    • Renouf M., Dubois F., Alart P. A parallel version of the non smooth contact dynamics algorithm applied to the simulation of granular media. J Comput Appl Mathe 2004, 168:375-382.
    • (2004) J Comput Appl Mathe , vol.168 , pp. 375-382
    • Renouf, M.1    Dubois, F.2    Alart, P.3
  • 43
    • 36049045385 scopus 로고    scopus 로고
    • Shear zones in granular media: three-dimensional contact dynamics simulation
    • Ries A., Wolf D.E., Unger T. Shear zones in granular media: three-dimensional contact dynamics simulation. Phys Rev E 2007, 195.
    • (2007) Phys Rev E , pp. 195
    • Ries, A.1    Wolf, D.E.2    Unger, T.3
  • 44
    • 33644582573 scopus 로고    scopus 로고
    • Modelling ballast behaviour under dynamic loading part 1: a 2D polygonal discrete element method approach
    • Saussine G., Cholet C., Gautier P.E., Dubois F., Bohatier C., Moreau J.J. Modelling ballast behaviour under dynamic loading part 1: a 2D polygonal discrete element method approach. Comput Meth Appl Mech Eng 2006, 195:2841-2859.
    • (2006) Comput Meth Appl Mech Eng , vol.195 , pp. 2841-2859
    • Saussine, G.1    Cholet, C.2    Gautier, P.E.3    Dubois, F.4    Bohatier, C.5    Moreau, J.J.6
  • 45
    • 30744479199 scopus 로고    scopus 로고
    • Study of the collapse of granular columns using two-dimensional discrete-grain simulation
    • Staron L., Hinch E.J. Study of the collapse of granular columns using two-dimensional discrete-grain simulation. J Fluid Mech 2005, 545:1-27.
    • (2005) J Fluid Mech , vol.545 , pp. 1-27
    • Staron, L.1    Hinch, E.J.2
  • 46
    • 34249078546 scopus 로고    scopus 로고
    • The spreading of a granular mass: role of grain properties and initial conditions
    • Staron L., Hinch E.J. The spreading of a granular mass: role of grain properties and initial conditions. Granul Matt 2007, 9:205-217.
    • (2007) Granul Matt , vol.9 , pp. 205-217
    • Staron, L.1    Hinch, E.J.2
  • 47
    • 80455155051 scopus 로고    scopus 로고
    • Minimal dissipation theory and shear bands in biaxial tests
    • Stegmann T., Török J., Brendel L., Wolf D.E. Minimal dissipation theory and shear bands in biaxial tests. Granul Matt 2011, 13:565-572.
    • (2011) Granul Matt , vol.13 , pp. 565-572
    • Stegmann, T.1    Török, J.2    Brendel, L.3    Wolf, D.E.4
  • 48
    • 0030213721 scopus 로고    scopus 로고
    • An implicit time-stepping scheme for rigid body dynamics with coulomb friction
    • Stewart D.E., Trinkle J.C. An implicit time-stepping scheme for rigid body dynamics with coulomb friction. Int J Numer Anal Meth Eng 1996, 39:2673-2691.
    • (1996) Int J Numer Anal Meth Eng , vol.39 , pp. 2673-2691
    • Stewart, D.E.1    Trinkle, J.C.2
  • 49
    • 0033296299 scopus 로고    scopus 로고
    • SeDuMi 1.02, a MATLAB toolbox for optimizing over symmetric cones
    • Sturm J.F. SeDuMi 1.02, a MATLAB toolbox for optimizing over symmetric cones. Optim Meth Softw 1999, 625-653. http://sedumi.mcmaster.ca/.
    • (1999) Optim Meth Softw , pp. 625-653
    • Sturm, J.F.1
  • 50
    • 27744566800 scopus 로고    scopus 로고
    • Rheology force transmission and shear instabilities in frictional granular media from biaxial numerical test using the contact dynamics method
    • Taboada A., Chang K.J., Radjai F., Bouchette F. Rheology force transmission and shear instabilities in frictional granular media from biaxial numerical test using the contact dynamics method. J Geophys Res 2005, 110:1-24.
    • (2005) J Geophys Res , vol.110 , pp. 1-24
    • Taboada, A.1    Chang, K.J.2    Radjai, F.3    Bouchette, F.4
  • 51
    • 77955244735 scopus 로고    scopus 로고
    • A convex complementarity approach for simulating large granular flows
    • Tasora A., Anitescu M. A convex complementarity approach for simulating large granular flows. J Comput Nonlin Dynam 2010, 5:031004.
    • (2010) J Comput Nonlin Dynam , vol.5 , pp. 031004
    • Tasora, A.1    Anitescu, M.2
  • 52
    • 78649916824 scopus 로고    scopus 로고
    • A matrix-free cone complementarity approach for solving large-scale, nonsmooth, rigid body dynamics
    • Tasora A., Anitescu M. A matrix-free cone complementarity approach for solving large-scale, nonsmooth, rigid body dynamics. Comput Meth Appl Mech Eng 2011, 200:439-453.
    • (2011) Comput Meth Appl Mech Eng , vol.200 , pp. 439-453
    • Tasora, A.1    Anitescu, M.2
  • 53
    • 0034002535 scopus 로고    scopus 로고
    • Numerical simulations of deviatoric shear deformation of granular media
    • Thornton C. Numerical simulations of deviatoric shear deformation of granular media. Geotechnique 2000, 50:43-53.
    • (2000) Geotechnique , vol.50 , pp. 43-53
    • Thornton, C.1
  • 54
    • 36549037195 scopus 로고    scopus 로고
    • A nonlinear programming method approach for upper bound limit analysis
    • da Silva M. Vicente, Antao A.N. A nonlinear programming method approach for upper bound limit analysis. Int J Numer Meth Eng 2007, 72:1192-1218.
    • (2007) Int J Numer Meth Eng , vol.72 , pp. 1192-1218
    • da Silva, M.V.1    Antao, A.N.2
  • 55
    • 51649122149 scopus 로고    scopus 로고
    • Upper bound limit analysis with a parallel mixed finite element formulation
    • da Silva M. Vicente, Antao A.N. Upper bound limit analysis with a parallel mixed finite element formulation. Int J Solids Struct 2008, 45:5788-5804.
    • (2008) Int J Solids Struct , vol.45 , pp. 5788-5804
    • da Silva, M.V.1    Antao, A.N.2
  • 56
    • 84857365920 scopus 로고    scopus 로고
    • A novel augmented Lagrangian-based formulation for upper-bound limit analysis
    • da Silva M. Vicente, Antao A.N. A novel augmented Lagrangian-based formulation for upper-bound limit analysis. Int J Numer Meth Eng 2012, 89(12):1471-1496.
    • (2012) Int J Numer Meth Eng , vol.89 , Issue.12 , pp. 1471-1496
    • da Silva, M.V.1    Antao, A.N.2
  • 58
    • 15844406182 scopus 로고    scopus 로고
    • Computer simulations of the collapse of a granular column
    • Zenit R. Computer simulations of the collapse of a granular column. Phys Fluids 2005, 17:031703.
    • (2005) Phys Fluids , vol.17 , pp. 031703
    • Zenit, R.1
  • 59
    • 0027287108 scopus 로고
    • An iterative algorithm for limit analysis with nonlinear yield functions
    • Zouain N., Herskovits J., Borges L.A., Feijóo R.A. An iterative algorithm for limit analysis with nonlinear yield functions. Int J Solids Struct 1993, 30(10)::1397-1417.
    • (1993) Int J Solids Struct , vol.30 , Issue.10 , pp. 1397-1417
    • Zouain, N.1    Herskovits, J.2    Borges, L.A.3    Feijóo, R.A.4
  • 60
    • 33846386064 scopus 로고    scopus 로고
    • Effect of particle shape on the stress dip under a sandpile
    • Zuriguel I., Mullin T., Rotter J.M. Effect of particle shape on the stress dip under a sandpile. Phys Rev Lett 2007, 98:028001.
    • (2007) Phys Rev Lett , vol.98 , pp. 028001
    • Zuriguel, I.1    Mullin, T.2    Rotter, J.M.3


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