Polygons vs. clumps of discs: A numerical study of the influence of grain shape on the mechanical behaviour of granular materials

Powder Technology

Volumn 208, Issue 2, 2011, Pages 279-288

  Szarf, K ^a   Combe, G ^a   Villard, P ^a  

^a UNIV GRENOBLE ALPES   (France)

Author keywords

Clumps of discs; DEM; Grain shape; Granular materials; Polygons; Shear localisation

Indexed keywords

COMPRESSION TESTING; GEOMETRY;

CLUMPS OF DISCS; DISCRETE ELEMENT CODES; GRAIN SHAPES; LOCALISATION; MACROSCOPIC RESPONSE; MECHANICAL BEHAVIOUR; MECHANICAL PERFORMANCE; POLYGONS;

GRANULAR MATERIALS;

ARTICLE; CHEMICAL STRUCTURE; COMPRESSION; GRANULAR MATERIAL; KINEMATICS; MATERIAL STATE; MATHEMATICAL ANALYSIS; MECHANICAL STRESS; MOLECULAR MECHANICS; MOLECULAR MODEL; PARTICLE SIZE; POWDER;

EID: 79952452996     PISSN: 00325910     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.powtec.2010.08.017     Document Type: Article

References (42)

1. Lanier J., Jean M. Experiments and numerical simulations with 2D-disks assembly. Powder technology (special issue on Numerical simulations of discrete particle systems) 2000, 109:206-221.
2. Thornton C., Lanier J. Uniaxial compression of granular media: numerical simulations and physical experiment. Powders and Grains 97 1997, 223-226. Balkema, Rotterdam. R.P. Behringer, J. Jenkins (Eds.).
3. Mechanics of Granular Materials, An Introduction 1999, A.A. Balkema. M. Oda, K. Iwashita (Eds.).
4. Iwashita K., Oda M. Rotational resistance at contacts in the simulation of shear band development by DEM. ASCE Journal of Engineering Mechanics 1998, 124:285-292.
5. Tordesillas A., Stuart D.C. Incorporating rolling resistance and contact anisotropy in micromechanical models of granular media. Powder Technology 2002, 124:106-111.
6. Gilabert F., Roux J.-N., Castellanos A. Computer simulation of model cohesive powders: influence of assembling procedure and contact laws on low consolidation states. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 2007, 75:011303.
7. Salot C., Gotteland P., Villard P. Influence of relative density on granular materials behavior: DEM simulations of triaxial tests. Granular Matter 2009, 11(4):221-236.
8. Azema E., Radjai F., Peyroux R., Saussine G. Force transmission in a packing of pentagonal particles. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 2007, 76(1):011301.
9. B. Saint-Cyr, C. Voivret, D.J.-Y., F. Radjai, P. Sornay, Effect of shape nonconvexity on the shear strength of granular media, in: Powders and grains 2009, AIP Conference Proceedings, Materials Physics & Applications, vol. 1145, Golden, CO USA, 2009, pp. 389-392.
10. K. Szarf, G. Combe, P. Villard, Influence of the grains shape on the mechanical behavior of granular materials, in: Powders and grains 2009, AIP Conference Proceedings, Materials Physics & Applications, vol. 1145, Golden, CO USA, 2009, pp. 357-360.
11. Rapaport D. The Art of Molecular Dynamics Simulation 1995, Cambridge University Press.
12. Itasca Consulting Group Inc., PFC2D Particle Flow Code in Two Dimensions-User's Guide 1999, Itasca Consulting Group Inc.
13. Cundall P.A., Strack O.D.L. A discrete numerical model for granular assemblies. Géotechnique 1979, 29(1):47-65.
14. Atman A., Claudin P., Combe G. Departure from elasticity in granular layers: investigation of a crossover overload force. Computer physics communications 2009, 180(4):612-615.
15. Roux J.-N., Combe G. On the meaning and microscopic origins of "quasistatic deformation" of granular materials. Proceedings of the EM03 ASCE conference 2003, CD-ROM published by ASCE, Seattle.
16. Allen M., Tildesley D. Computer simulation of liquids 1994, Oxford Science Publications.
17. Luding S. Stress distribution in static two-dimensional granular model media in the absence of friction. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 1997, 55(4):4720-4729.
18. Hopkins M. On the ridging of intact lead ice. Journal of Geophysical Research 1994, 99(C8). 16,351-16,360.
19. Matuttis H.-G. Simulation of the pressure distribution under a two-dimensional heap of polygonal particles. Granular matter 1998, 1(2):83-91.
20. Alonso-Marroquin F., Luding S., Herrmann H.J., Vardoulakis I. The role of the anisotropy in the elastoplastic response of a polygonal packing. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 2005, 71:051304.
21. Alonso-Marroquin F., Herrmann H.J. Calculation of the incremental stress-strain relation of a polygonal packing. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 2002, 66(2):021301. http://dx.doi.org/10.1103/PhysRevE.66.021301. 10.1103/PhysRevE.66.021301.
22. J. Moreau, Private communication (2006).
23. Saussine G., Cholet C., Gautier P.-E., Dubois F., Bohatier C., Moreau J. Modelling ballast behaviour under dynamic loading. Part 1: A 2D polygonal discrete element method approach. Computer Methods in Applied Mechanics and Engineering 2006, 195:2841-2859.
24. Combe G., Roux J.-N. Discrete numerical simulation, quasitatic deformation and the origins of strain in granular materials. 3rd International Symposium on Deformation Characteristics of Geomaterials 2003, 1071-1078. Lyon, France. H. DiBenedetto, T. Doanh, H. Geoffroy, C. Sauzeat (Eds.).
25. G. Combe, Origines microscopiques du comportement quasi-statique des matériaux granulaires, Ph.D. thesis, École Nationale des Ponts et Chaussées, Champs-sur-Marne, France (2001). URL http://pastel.paristech.org/00000051/.
26. Roux J.-N., Chevoir F. Discrete numerical simulation and the mechanical behavior of granular materials. Bulletin des Laboratoires des Ponts et Chaussées 2005, 254:109-138.
27. Emeriault B., Cambou B., Mahboudi A. Homogenization for granular materials: non reversible behaviour. Mechanics of cohesive-frictional materials 1996, 1:199-218.
28. Cambou B., Dubujet P., Emeriault F., Sidoroff F. Homogenization for granular materials. European J. of Mechanics A/Solids 1995, 14:255-276.
29. Bathurst J., Rothenburg L. Micromechanical aspects of isotropic granular assemblies with linear contact interactions. Journal of Applied Mechanics 1988, 55:17-23.
30. Bathurst J., Rothenburg L. Note on a random isotropic granular material with negative poisson's ratio. International Journal Engineering Science 1988, 26:373-383.
31. Chareyre B., Villard P. Dynamic spar elements and DEM in two dimensions for the modeling of soil-inclusion problems. Journal of Engineering Mechanics 2005, 131:689-698.
32. Agnolin I., Roux J.-N. Internal states of model isotropic granular packings. I. Assembling process, geometry, and contact networks. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 2007, 76(6):061302.
33. Agnolin I., Roux J.-N. Internal states of model isotropic granular packings. III. Elastic properties. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 2007, 76(6):061304.
34. Roux J.-N., Combe G. Quasistatic rheology and the origins of strain. Comptes Rendus de l'Académie des Sciences, Série IV - Physics-Astrophysics (Comptes Rendus Physique) 2002, 3(2):131-140.
35. Powders and Grains 97 - International Conference on Powders & Grains - (3rd - 1997 - Durham, N.C., USA) 1997, A.A. Balkema, Rotterdam. R. Behringer, J. Jenkins (Eds.).
36. Calvetti F., Combe G., Lanier J. Experimental micromechanical analysis of a 2D granular material: relation between structure evolution and loading path. Mechanics of Cohesive-frictional materials 1997, 2:121-163.
37. Azéma E., Radjaï F., Peyroux R. Force transmission in a packing of pentagonal particles. Physical Review Letter 2007, 76:011301.
38. Sornette A., Davy P., Sornette D. Fault growth in brittle-ductile experiments and the mechanics of continental collisions. Journal of geophysical research 1993, 98:12111-12140.
39. Lanier J. Étude expérimentale des lois de comportements en grandes déformations à l'aide d'une presse réellement tridimensionnelle. Cahier du groupe français de Rhéologie 1976, 4:53-57.
40. Lanier J., Jean M. Experiments and numerical simulations with 2D-disks assembly. Power Technology 2000, 109:206-221.
41. Desrues J., Viggiani G. Strain localization in sand: an overview of the experimental results obtained in Grenoble using stereophotogrammetry. International Journal for Numerical and Analytical Methods in Geomechanics 2004, 28:279-321.
42. Kuhn M., Bagi K. Specimen size effect in discrete element simulations of granular assemblies. Journal of Engineering Mechanics 2009, 135:485-492.