Link between single-particle properties and macroscopic properties in particulate assemblies: Role of structures within structures

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 365, Issue 1861, 2007, Pages 2879-2891

  Antony, S J ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Force chains; Micro and nanomechanics; Particulate mechanics; Powders and grains

Indexed keywords

ASSOCIATION REACTIONS; ATOMIC FORCE MICROSCOPY; FINITE DIFFERENCE METHOD; PACKED BEDS; SHEARING; STRENGTH OF MATERIALS;

COLLECTIVE STRENGTH; DISCRETE ELEMENT METHOD SIMULATIONS; ELECTRICAL FIELD; ELECTROMECHANICAL LOADING; FORCE CHAINS; GRANULAR MEDIA; INDUSTRIAL PROCESSS; INTER-PARTICLE INTERACTION; MACROSCOPIC PROPERTIES; MACROSCOPIC STRENGTH; MEMORY NETWORK; PACKING CONDITIONS; PARTICLE CHARACTERIZATION; PARTICULATE ASSEMBLY; PARTICULATE BED; PARTICULATE MATERIALS; PARTICULATE MEDIA; PARTICULATE SYSTEMS; REALISTIC CONDITIONS; SELF-ORGANIZE; SINGLE-PARTICLE; STRUCTURAL ARRANGEMENT;

PARTICLES (PARTICULATE MATTER);

NANOMATERIAL;

CHEMICAL MODEL; CHEMICAL STRUCTURE; CHEMISTRY; CONFORMATION; CRYSTALLIZATION; MACROMOLECULE; NANOTECHNOLOGY; REVIEW; ULTRASTRUCTURE;

CRYSTALLIZATION; MACROMOLECULAR SUBSTANCES; MODELS, CHEMICAL; MODELS, MOLECULAR; MOLECULAR CONFORMATION; NANOSTRUCTURES; NANOTECHNOLOGY;

EID: 38449093399     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2007.0004     Document Type: Article

References (36)

1. Antony, S. J. 2001 Evolution of force distribution in three dimensional granular media. Phys. Rev. E 63, 011302. (doi:10.1103/PhysRevE.63.011302)
2. Antony, S. J. & Ghadiri, M. 2001 Size effects in slowly sheared granular media. J. Appl. Mech. 68, 772-775. (doi:10.1115/1.1387443)
3. Antony, S. J. & Kuhn, M. R. 2004 Influence of particle shape on the interplay between contact signatures and particulate strength. Int. J. Solids Struct. 41, 5863-5870. (doi:10.1016/j.ijsolstr. 2004.05.067)
4. Antony, S. J. & Sarangi, F. 2006 Computational study investigating the influence of long-range repulsive forces on the collective behaviour of particulate media. J. Comput. Theor. Nanosci. 3, 1-10.
5. Antony, S. J. & Sultan, M. 2007 Role of inter-particle forces and inter-particle friction on the bulk friction in charged granular media subjected to shearing. Phys. Rev. E 75, 031307. (doi:10.1103/ PhysRevE.75.031307)
6. Antony, S. J., Momoh, R. & Kuhn, M. R. 2004 Biaxial compression of oval particulates: micromechanical study. J. Comput. Mater. Sci. 29, 494-498. (doi:10.1016/j.commatsci.2003.12.007)
7. Antony, S. J., Kuhn, M. R., Barton, D. C. & Bland, R. 2005 Strength and signature of force networks in axially compacted sphere and non-sphere granular assemblies. J. Phys. D: Appl. Phys. 38, 3944-3952. (doi:10.1088/0022- 3727/38/21/017)
8. Antony, S. J., Moreno-Atanasio, R. & Hassanpour, A. 2006 Influence of contact stiffnesses on the micromechanical characteristics of dense particulate systems subjected to shearing. Appl. Phys. Lett. 89, 214 103. (doi:10.1063/1.2396894)
9. Bardenhagen, S. G., Brackbill, J. U. & Sulsky, D. 2000 Numerical study of stress distribution in sheared granular material in two dimensions. Phys. Rev. E 62, 3882-3890. (doi:10.1103/ PhysRevE.62.3882)
10. Baxter, J., Tüzün, U., Burnell, J. & Heyes, D. M. 1997 Granular dynamics simulations of twodimensional heap formation. Phys. Rev. E 55, 3546-3554. (doi:10.1103/PhysRevE.55.3546)
11. Behringer, R. P. & Miller, B. 1997 Stress fluctuations for sheared 3D granular materials. In Powders and grains 97 (eds R. P. Behringer & J. T. Jenkins), pp. 333-336. Rotterdam, The Netherlands: A. A. Balkema.
12. Blair, D. L., Mueggenburg, N. W., Marshall, A. H., Jaeger, H. M. & Nagel, S. R. 2001 Force distribution in three-dimensional granular assemblies: effects of packing order and interparticle friction. Phys. Rev. E 63, 041304. (doi:10.1103/PhysRevE.63.041304)
13. Cates, M. E., Wittmer, J. P., Bouchaud, J.-P. & Claudin, P. 1998 Development of stresses in cohesionless poured sand. Phil. Trans. R. Soc. A 356, 2535-2560. (doi:10.1098/rsta.1998.0285)
14. Cundall, P. A. & Strack, O. D. L. 1979 A discrete numerical model for granular assemblies. Geotechnique 29, 47-65.
15. Edwards, S. F. & Grinev, D. V. 1999 Compactivity and transmission of stress in granular materials. Chaos 9, 551-558. (doi:10.1063/1.166429)
16. Geng, J., Longhi, E. & Behringer, R. P. 2001 Memory in two-dimensional heap experiments. Phys. Rev. E 64, 060301(R). (doi:10.1103/PhysRevE.64.060301)
17. Hassanpour, A., Antony, S. J. & Ghadiri, M. 2007 Studies on the evolution of the structure of agglomerate immersed in a bed of particles subjected to shearing: size effects. Chem. Eng. Sci. 62, 935-942. (doi:10.1016/j.ces.2006.10.026)
18. Herrmann, H. J. & Luding, S. 1998 Modelling granular media on the computer. Continuum Mech. Thermodyn. 10, 189-231. (doi:10.1007/s001610050089)
19. Jaeger, H. M., Nagel, S. R. & Behringer, R. P. 1996 Granular solids, liquids and gases. Rev. Mod. Phys. 68, 1259-1273. (doi:10.1103/RevModPhys.68. 1259)
20. Kruyt, N. P. & Antony, S. J. 2007 Force, relative-displacement, and work networks in granular materials subjected to quasi-static deformation. Phys. Rev. E 75, 051308. (doi:10.1103/ PhysRevE.75.051308)
21. Kuhn, M. R. 2003 Heterogeneity and patterning in the quasi-static behaviour of granular materials. Granul. Matter 4, 155-166. (doi:10.1007/s10035- 002-0118-2)
22. Liu, C., Nagel, S. R., Schecter, D. A., Coppersmith, S. N., Muajumdar, S., Narayan, O. & Witten, T. A. 1995 Force fluctuations in bead packs. Science 269, 513-515. (doi:10. 1126/science.269.5223.513)
23. Majmudar, T. S., Sperl, M., Luding, S. & Behringer, R. P. 2007 Jamming transition in granular systems. Phys. Rev. Lett. 98, 058001. (doi:10.1103/PhysRevLett.98.058001)
24. Miller, B., O'Hern, C. & Behringer, R. P. 1996 Stress fluctuations for continuously sheared granular materials. Phys. Rev. Lett. 77, 3110-3113. (doi:10.1103/PhysRevLett.77.3110)
25. Mueth, D. M., Jaeger, H. M. & Nagel, S. R. 1998 Force distribution in a granular medium. Phys. Rev. E 57, 3164-3169. (doi:10.1103/PhysRevE.57.3164)
26. Peters, J. F., Muthuswamy, M., Wibowo, J. & Tordesillas, A. 2005 Characterization of force chains in granular material. Phys. Rev. E 72, 041307. (doi:10.1103/PhysRevE.72.041 307)
27. Radjai, F., Jean, M., Moreau, J. J. & Roux, S. 1996 Force distributions in dense two-dimensional granular systems. Phys. Rev. Lett. 77, 274-277. (doi:10.1103/PhysRevLett.77.274)
28. Radjai, F., Wolf, D. E., Roux, S., Jean, M. & Moreau, J. J. 1997 Force networks in dense granular media. In Powders and grains 97 (eds R. P. Behringer & J. T. Jenkins), pp. 211-214. Rotterdam, The Netherlands: A. A. Balkema.
29. Radjai, F., Wolf, D., Jean, M. & Moreau, J. J. 1998 Bimodal character of stress transmission in granular packings. Phys. Rev. Lett. 80, 61-64. (doi:10.1103/PhysRevLett.80.61)
30. Radjai, F., Roux, S. & Moreau, J. J. 1999 Contact forces in granular packing. Chaos 9, 544-550. (doi:10.1063/1.166428)
31. Radjai, F., Troadec, H. & Roux, S. 2004 Key features of granular plasticity. In Granular materials: fundamentals and applications (eds S. J. Antony, W. Hoyle & Y. Ding), pp. 157-184. London, UK: Royal Society of Chemistry.
32. Sexton, M. G., Socolar, J. E. S. & Schaeffer, D. G. 1999 Force distribution in a scalar model for noncohesive granular material. Phys. Rev. E 60, 1999-2008. (doi:10.1103/Ph ysRevE.60.1999)
33. Socolar, J. E. S. 1998 Average stresses and force fluctuations in noncohesive granular materials. Phys. Rev. E 57, 3204-3215. (doi:10.1103/ PhysRevE.57.3204)
34. Thornton, C. & Antony, S. J. 1998 Quasi-static deformation of particulate media. Phil. Trans. R. Soc. A 356, 2763-2782. (doi:10.1098/rsta. 1998.0296)
35. Thornton, C. & Antony, S. J. 2000 Quasi-static deformation of a soft particulate system. Powder Technol. 109, 179-191. (doi:10.1016/S0032-5910(99) 00235-1)
36. Tsoungui, O., Vallet, D. & Charmet, J. C. 1999 Numerical model of crushing of grains inside two-dimensional granular assemblies. Powder Technol. 105, 190-198. (do i:10.1016/S0032-5910(99)00137-0)