Breaking processes in three-dimensional bonded granular materials with general shapes

Computer Physics Communications

Volumn 183, Issue 2, 2012, Pages 266-277

  Galindo Torres, S A ^a   Pedroso, D M ^a   Williams, D J ^a   Li, L ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Bonding models; Fragmentation; Molecular dynamics

Indexed keywords

BONDING FORCES; BONDING MODEL; BREAKING PROCESS; COHESIVE BONDS; EFFECTIVE TOOL; FAILURE MODEL; FRACTURE FAILURE; FRAGMENTATION; FRAGMENTATION PROCESS; INTERNAL VOIDS; PEAK STRENGTH; POWER LAW DISTRIBUTION; PRINCIPAL VARIABLES; SOLID BODIES; TENSILE TESTS; TRIAXIAL TEST;

GRANULAR MATERIALS; MOLECULAR DYNAMICS; PARTICLES (PARTICULATE MATTER); TENSILE TESTING; THREE DIMENSIONAL;

FRACTURE;

EID: 81455158716     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2011.10.001     Document Type: Article

References (76)

1. S. Pradhan, A. Hansen, and P.C. Hemmer Crossover behavior in failure avalanches Phys. Rev. E 74 1 2006 016122 10.1103/PhysRevE.74.016122 (Pubitemid 44154507)
2. N. Sukumar, N. Moes, B. Moran, and T. Belytschko Extended finite element method for three-dimensional crack modelling Internat. J. Numer. Methods Engrg. 48 11 2000 1549 1570 (Pubitemid 30617347)
3. F. Kun, and H.J. Herrmann A study of fragmentation processes using a discrete element method Comput. Methods Appl. Mech. Engrg. 138 1996 3 18 (Pubitemid 126405065)
4. H. Carmona, F. Wittel, F. Kun, and H. Herrmann Fragmentation processes in impact of spheres Phys. Rev. E 77 5 2008 51302
5. G. D Addetta, F. Kun, and E. Ramm On the application of a discrete model to the fracture process of cohesive granular materials Granular Matter 4 2 2002 77 90 (Pubitemid 36156200)
6. A. Fakhimi, and T. Villegas Application of dimensional analysis in calibration of a discrete element model for rock deformation and fracture Rock Mech. Rock Engrg. 40 2 2007 193 211 (Pubitemid 46526111)
7. S. Galindo-Torres, J. Muñoz Castaño, Simulation of the hydraulic fracture process in two dimensions using a discrete element method, Phys. Rev. E, Statist. Nonlin. Soft Matter Phys. 75 (6).
8. Y. Wang, and P. Mora Modeling wing crack extension: Implications for the ingredients of DEM Pure Appl. Geophys. 165 3 2008 609 620
9. S. Antonyuk, M. Khanal, J. Tomas, S. Heinrich, and L. Morl Impact breakage of spherical granules: Experimental study and DEM simulation Chem. Eng. Process. 45 10 2006 838 856 (Pubitemid 44208815)
10. W. Schubert, M. Khanal, and J. Tomas Impact crushing of particle-particle compounds - experiment and simulation Internat. J. Mineral Process. 75 1-2 2005 41 52
11. M. Khanal, W. Schubert, and J. Tomas Dem simulation of diametrical compression test on particle compounds Granular Matter 7 2 2005 83 90 (Pubitemid 41118260)
12. A. Hassanpour, S. Antony, and M. Ghadiri Effect of size ratio on the behaviour of agglomerates embedded in a bed of particles subjected to shearing: DEM analysis Chem. Eng. Sci. 62 4 2007 935 942 (Pubitemid 46027023)
13. D. Potyondy, and P. Cundall A bonded-particle model for rock Int. J. Rock Mech. Min. Sci. 41 8 2004 1329 1364 (Pubitemid 39615643)
14. H. Péron, J. Delenne, L. Laloui, and M. El Youssoufi Discrete element modelling of drying shrinkage and cracking of soils Comput. Geotech. 36 1-2 2009 61 69
15. J. Rojek, E. Oñate, C. Labra, and H. Kargl Discrete element modelling of rock cutting Particle-Based Methods 2011 Springer Netherlands 247 267
16. A. Delaplace, and R. Desmorat Discrete 3D model as complimentary numerical testing for anisotropic damage Internat. J. Fract. 148 2 2007 115 128
17. F. Soulié, F. Cherblanc, M. El Youssoufi, and C. Saix Influence of liquid bridges on the mechanical behaviour of polydisperse granular materials Internat. J. Numer. Anal. Meth. Geomech. 30 3 2006 213 228 (Pubitemid 43337959)
18. V. Richefeu, M. El Youssoufi, and F. Radjaï Shear strength properties of wet granular materials Phys. Rev. E 73 5 2006 051304
19. V. Richefeu, M. El Youssoufi, R. Peyroux, and F. Radjaï A model of capillary cohesion for numerical simulations of 3d polydisperse granular media Internat. J. Numer. Anal. Meth. Geomech. 32 11 2008 1365 1383
20. S. Luding Cohesive, frictional powders: Contact models for tension Granular Matter 10 4 2008 235 246
21. R. Tykhoniuk, J. Tomas, S. Luding, M. Kappl, L. Heim, and H. Butt Ultrafine cohesive powders: From interparticle contacts to continuum behaviour Chem. Eng. Sci. 62 11 2007 2843 2864 (Pubitemid 46667125)
22. S. Galindo-Torres, and D. Pedroso Molecular dynamics simulations of complex-shaped particles using Voronoi-based spheropolyhedra Phys. Rev. E, Statist. Nonlin. Soft Matter Phys. 81 6 2010 061303
23. J. Jaeger, and E. Hoskins Rock failure under the confined Brazilian test J. Geophys. Res. 71 10 1966 2651 2659
24. H. Guo, N. Aziz, and L. Schmidt Rock fracture-toughness determination by the Brazilian test Engrg. Geol. 33 3 1993 177 188 (Pubitemid 23389728)
25. J. Hudson Tensile strength and the ring test Int. J. Rock Mech. Min. Sci. (Abstracts) 6 1969 91 97
26. L. Pournin, and T. Liebling A generalization of distinct element method to tridimentional particles with complex shapes Powders & Grains 2005 2005 Balkema Leiden 1375 1478
27. F. Alonso-Marroquin Spheropolygons: A new method to simulate conservative and dissipative interactions between 2d complex-shaped rigid bodies Europhys. Lett. 83 1 2008 14001
28. S. Galindo-Torres, F. Alonso-Marroquín, Y. Wang, D. Pedroso, and J. Muñoz Castaño Molecular dynamics simulation of complex particles in three dimensions and the study of friction due to nonconvexity Phys. Rev. E 79 6 2009 60301
29. N. Belheine, J. Plassiard, F. Donzé, A. Darve, and F. Seridi Numerical simulation of drained triaxial test using 3D discrete element modeling Comput. Geotech. 36 1-2 2009 320 331
30. P. Cundall, O. Strack, A discrete numerical model for granular assemblies, 1979.
31. L. Verlet Computer experiments on classical fluids. I. Thermodynamical properties of Lennard-Jones molecules Phys. Rev. 159 1 1967 98 103
32. Y. Wang, S. Abe, S. Latham, and P. Mora Implementation of particle-scale rotation in the 3-D lattice solid model Pure Appl. Geophys. 163 9 2006 1769 1785 (Pubitemid 44613074)
33. T. Poeschel, and T. Schwager Computational Granular Dynamics 2004 Springer Berlin
34. Y. Jianhong, F. Wu, and J. Sun Estimation of the tensile elastic modulus using Brazilian disc by applying diametrically opposed concentrated loads Int. J. Rock Mech. Min. Sci. 46 3 2009 568 576
35. F. Kun, and H.J. Herrmann Transition from damage to fragmentation in collision of solids Phys. Rev. E 59 3 1999 2623 2632 (Pubitemid 129586125)
36. B. Behera, F. Kun, S. McNamara, and H. Herrmann Fragmentation of a circular disc by impact on a frictionless plate J. Phys.: Condens. Matter 17 2005 S2439
37. F. Wittel, F. Kun, H. Herrmann, and B. Kroplin Fragmentation of shells Phys. Rev. Lett. 93 3 2004 35504
38. G. D Addetta, Discrete models for cohesive frictional materials, Fakultat Bauingenieur- und Umweltingenieurwissenschaften, Universität Stuttgart.
39. W. Zhu, and C. Tang Numerical simulation of Brazilian disk rock failure under static and dynamic loading Int. J. Rock Mech. Min. Sci. 43 2 2006 236 252 (Pubitemid 43064696)
40. E. Buckingham On physically similar systems; illustrations of the use of dimensional equations Phys. Rev. 4 4 1914 345 376 10.1103/PhysRev.4.345
41. P.V. Lade, and J.M. Duncan Cubical triaxial tests on cohesionless soil J. Soil Mech. Found. Div. (ASCE) 99 10 1973 793 812
42. H. Matsuoka, T. Nakai, Stress-deformation and strength characteristics of soil under three different principal stresses, in: Proc. JSCE, vol. 232, 1974, pp. 59-70.
43. E. Fradis, S. Frydman, Stress-strain behaviour of sand under generalized stress conditions, in: Proc. IX ICSMFE Constitutive Equations of Soils, 1977, pp. 57-64.
44. M. Goldscheider, True triaxial tests on dense sand, in: Proc. Int. Workshop on Constitutive Relations for Soils, Grenoble, 6-8 Sep. 1982, pp. 11-54.
45. E.Q. Chowdhury, and T. Nakai Consequences of the tij-concept and a new modeling approach Comput. Geotech. 23 1998 131 164 (Pubitemid 29154381)
46. D.M. Pedroso, Mathematical representation of the cyclic mechanical behaviour of saturated and unsaturated soils, PhD thesis, University of Brasília, Brasília, Brasil, 2006 (in Portuguese).
47. H.G. Matuttis, S. Luding, and H.J. Herrmann Discrete element simulations of dense packings and heaps made of spherical and non-spherical particles Powder Technol. 109 1-3 2000 278 292 10.1016/S0032-5910(99)00243-0 (Pubitemid 30177131)
48. G. D Addetta, F. Kun, E. Ramm, and H. Herrmann From solids to granulates - discrete element simulations of fracture and fragmentation processes in geomaterials P. Vermeer, H. Herrmann, S. Luding, W. Ehlers, S. Diebels, E. Ramm, Continuous and Discontinuous Modelling of Cohesive-Frictional Materials Lecture Notes in Physics vol. 568 2001 Springer Berlin/Heidelberg 231 258 10.1007/3-540-44424-67
49. F. Alonso-Marroquín Spheropolygons: A new method to simulate conservative and dissipative interactions between 2d complex-shaped rigid bodies EPL (Europhys. Lett.) 83 1 2008 14001 10.1209/0295-5075/83/14001
50. F. Alonso-Marroquín, and H.J. Herrmann Calculation of the incremental stress-strain relation of a polygonal packing Phys. Rev. E 66 2 2002 021301 10.1103/PhysRevE.66.021301 (Pubitemid 40618641)
51. F. Alonso-Marroquín, and H.J. Herrmann The incremental response of soils. An investigation using a discrete-element model J. Engrg. Math. 52 2005 11 34 10.1007/BF02694028 (Pubitemid 41038829)
52. F. Alonso-Marroquín, S. Luding, H.J. Herrmann, and I. Vardoulakis Role of anisotropy in the elastoplastic response of a polygonal packing Phys. Rev. E 71 5 2005 051304 10.1103/PhysRevE.71.051304 (Pubitemid 41480925)
53. F. Alonso-Marroquín, I. Vardoulakis, H.J. Herrmann, D. Weatherley, and P. Mora Effect of rolling on dissipation in fault gouges Phys. Rev. E 74 3 2006 031306 10.1103/PhysRevE.74.031306 (Pubitemid 44439118)
54. E. Azéma, F. Radjaï, R. Peyroux, and G. Saussine Force transmission in a packing of pentagonal particles Phys. Rev. E 76 1 2007 011301 10.1103/PhysRevE.76.011301 (Pubitemid 47115675)
55. F. Alonso-Marroquín, H.B. Muhlhaüs, and H.J. Herrmann Micromechanical investigation of granular ratcheting using a discrete model of polygonal particles Simulation and Modeling of Particulate Systems Particuology 6 6 2008 390 403 10.1016/j.partic.2008.07.015
56. F. Alonso-Marroquín, and Y. Wang An efficient algorithm for granular dynamics simulations with complex-shaped objects Granular Matter 11 2009 317 329 10.1007/s10035-009-0139-1
57. A.A. Pena, A. Lizcano, F. Alonso-Marroquin, and H.J. Herrmann Biaxial test simulations using a packing of polygonal particles Internat. J. Numer. Anal. Meth. Geomech. 32 2 2008 143 160 10.1002/nag.618 (Pubitemid 351325203)
58. E. Azéma, and F. Radjaï Stress-strain behavior and geometrical properties of packings of elongated particles Phys. Rev. E 81 5 2010 051304 10.1103/PhysRevE.81.051304
59. T. Kanzaki, R.C. Hidalgo, D. Maza, and I. Pagonabarraga Cooling dynamics of a granular gas of elongated particles J. Stat. Mech. Theory Exp. 2010 06 2010 P06020 10.1088/1742-5468/2010/06/P06020
60. S.A. Galindo-Torres, J.D. Muñoz, and F. Alonso-Marroquín Minkowski-Voronoi diagrams as a method to generate random packings of spheropolygons for the simulation of soils Phys. Rev. E 82 5 2010 056713 10.1103/PhysRevE.82.056713
61. J.-P. Latham, Y. Lu, and A. Munjiza A random method for simulating loose packs of angular particles using tetrahedra Geotechnique 51 10 2001 871 879 (Pubitemid 34463828)
62. A. Delaplace, and R. Desmorat Discrete 3d model as complimentary numerical testing for anisotropic damage Internat. J. Fract. 148 2007 115 128 10.1007/s10704-008-9183-9
63. J.-P. Latham, A. Munjiza, X. Garcia, J. Xiang, and R. Guises Three-dimensional particle shape acquisition and use of shape library for DEM and FEM/DEM simulation Min. Engrg. 21 11 2008 797 805 10.1016/j.mineng.2008.05. 015
64. E. Azéma, F. Radjaï, and G. Saussine Quasistatic rheology, force transmission and fabric properties of a packing of irregular polyhedral particles Advances in the Dynamics of Granular Materials Mech. Mater. 41 6 2009 729 741 10.1016/j.mechmat.2009.01.021
65. J.F. Peters, M.A. Hopkins, R. Kala, and R.E. Wahl A poly-ellipsoid particle for non-spherical discrete element method Engrg. Comput. 26 6 2009 645 657
66. S.A. Galindo-Torres, F. Marroquín, Y. Wang, D.M. Pedroso, and J. Castaño Molecular dynamics simulation of complex particles in three dimensions and the study of friction due to nonconvexity Phys. Rev. E 79 6 2009 060301
67. J. Wang, H. Yu, P. Langston, and F. Fraige Particle shape effects in discrete element modelling of cohesive angular particles Granular Matter 13 2010 1 12 10.1007/s10035-010-0217-4
68. S.A. Galindo-Torres, and D.M. Pedroso Molecular dynamics simulations of complex-shaped particles using Voronoi-based spheropolyhedra Phys. Rev. E 81 6 2010 061303 10.1103/PhysRevE.81.061303
69. D. Markauskas, and R. Kacianauskas Investigation of rice grain flow by multi-sphere particle model Granular Matter 13 2010 1 6 10.1007/s10035-010-0196- 5
70. J. Gere, and S. Timoshenko Mechanics of Materials 1997 PWS Pub. Co. Boston
71. A. Taboada, N. Estrada, and F. Radjaï Additive decomposition of shear strength in cohesive granular media from grain-scale interactions Phys. Rev. Lett. 97 9 2006 098302 10.1103/PhysRevLett.97.098302 (Pubitemid 44330071)
72. E. Hoek, C. Carranza-Torres, B. Corkum, Hoek-Brown failure criterion, 2002 edition, in: 5th North American Rock Mechanics Symposium and 17th Tunneling Association of Canada Conference: NARMS-TAC, 2002, pp. 267-271.
73. E. Hoek Reliability of Hoek-Brown estimates of rock mass properties and their impact on design Int. J. Rock Mech. Min. Sci. 35 1 1998 63 68 (Pubitemid 28200381)
74. A. Petri, G. Paparo, A. Vespignani, A. Alippi, and M. Costantini Experimental evidence for critical dynamics in microfracturing processes Phys. Rev. Lett. 73 25 1994 3423 3426 10.1103/PhysRevLett.73.3423 (Pubitemid 24977919)
75. G. Villalobos, D. Linero, and J. Muñoz A statistical model of fracture for a 2D hexagonal mesh: The Cell Network Model of Fracture for the bamboo Guadua angustifolia Comput. Phys. Comm. 182 1 2011 188 191
76. R.Y. Yang, R.P. Zou, and A.B. Yu Voronoi tessellation of the packing of fine uniform spheres Phys. Rev. E 65 4 2002 041302 10.1103/PhysRevE.65.041302 (Pubitemid 40618810)