Statistical analysis of contact force components in random granular assemblies

Granular Matter

Volumn 5, Issue 1, 2003, Pages 45-54

  Bagi, K ^a  

^a BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

Author keywords

Micromechanics; Microstructural; Particle system; Quasi static; Statistical entropy

Indexed keywords

APPROXIMATION THEORY; GRAVITATIONAL EFFECTS; HYDROSTATIC PRESSURE; MICROSTRUCTURE; PROBABILITY DENSITY FUNCTION; STATISTICAL METHODS;

CONTACT FORCES;

GRANULAR MATERIALS;

EID: 0038376085     PISSN: 14345021     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10035-002-0123-5     Document Type: Review

References (35)

1. Bagi K., A quasi-static numerical model for micro-level analysis of granular assemblies. Mechanics of materials, 16 (1993), p. 101-110
2. Bagi K., Stress and strain in granular assemblies. Mechanics of Materials, 22 (1996), p. 165-177
3. Bagi K., Analysis of micro-variables through entropy principle. Powders and Grains 97, ed. R. Behringer & J.T. Jenkins, Balkema, (1997), p. 251-254
4. Bagi K., Relations between micro- and macro-variables of granular assemblies. CSc Thesis, Hungarian Academy of Sciences, Budapest, (1997)
5. Bagi K., Microstructural stress tensor of granular assemblies with volume forces. Journal of Applied Mechanics, 66 (1999), p. 934-936
6. Bojtár I., Numerical analysis of the microstructure of granular media. Építés-Építészettudomány, 1989 (1-2) (1989), p. 75-93 (in Hungarian)
7. Brown C. B., The use of maximum entropy in the characterization of granular materials. In: Continuummechanical and Statistical Approaches in the Mechanics of Granular Materials, ed. C.S. Cowin M - M. Satake, Gakujutsu Bunken Fukyu-kai, (1978), p. 98-108
8. Christoffersen J., Mehrabadi M. M., & Nemat-Nasser S., A micromechanical description of granular material behavior. Journal of Applied Mechanics, 48 (1981), p. 339-344
9. Coppersmith et al, Model for force fluctuations in bead packs. Phys. Rev. E, 53 (1996), p. 4673-4685
10. Cover & Thomas, Elements of Information Theory, Wiley (1991)
11. Cundall P. A., & Strack O. D. L., A discrete numerical model for granular assemblies. Geotechnique, 29(1) (1979), p. 47-65
12. Cundall P. A., Drescher A., & Strack O. D. L., Numerical experiments on granular assemblies. Procs. IUTAM Conference on Deformation and Failure of Granular Materials, Delft, (1982), p. 355-370
13. Cundall P. A., Jenkins J. T., & Ishibashi I., Evolution of elastic moduli in a deforming granular assembly. Powders and Grains 89, ed. J. Biarez and R. Gourves, Balkema, (1989), p. 319-322
14. Drescher A., & de Josselin de Jong G., Photoelastic verification of a mechanical model for the flow of a granular material. J. Mech. Phys. Solids, 20 (1972), p. 337-351
15. Feng Y. T., Han K., & Owen D. R. J., Filling domains with disks. Procs. ICADD-4, ed. N. Bicanic, Glasgow. 6-8 June 2001, (2001), p. 239-250
16. Feng Y. T., Han K., & Owen D. R. J., Filling domains with disks: an advancing front approach. Int. J. Numer. Meth. Engn (in press) (2002)
17. Goddard J., An elastohydrodynamics theory for the rheology of concentrated suspensions of deformable particles. Journal of Non-Newtonian Fluid Mechanics, 2 (1977), p. 169-189
18. Kanatani K., A theory of contact force distribution in granular materials. Powder Technology. 28 (1981), p. 167-172
19. Kishino Y., Disc model analysis of granular media. In: Micromechanics of Granular Materials, eds. Satake and Jenkins, Elsevier; (1988), p. 143-152
20. Kruyt N., & Rothenburg L., Probability density functions of contact forces for cohesionless frictional granular materials. Int. J. Solids and Structures, 39 (2002). p. 571-583
21. Liu et al, Force fluctuations in bead packs. Science, 269 (1995), p. 513-515
22. Lörincz J., On particle migration with the help of grading entropy. Proc. Geo-Filters 92, Balkema. (1993), p. 63-67
23. Lörincz J.. On granular filters with the help of grading entropy. Proc. Geo-Filters 92, Balkema, (1993), p. 67-71
24. Mogami T., A statistical approach to the mechanics of granular materials. Soils and Foundations, 5(2) (1965), p. 26-36
25. Mueth D. M., Jaeger H. M., & Nagel S. R., Force distribution in a granular medium. Physical Review E, 57(3), (1998), p. 3164-3168
26. Paláncz B., TU Budapest, private communication (2000)
27. Radjai F., & Wolf D. E., Features of static pressure in dense granular media. Granular Matter, 1 (1998), p. 3-8
28. Rothenburg L., Micro-mechanics of idealized granular materials. PhD Thesis, Carleton University, Department of Civil Engineering, Ottawa, ON Canada. (1980)
29. Rothenburg L., & Selvadurai A. P. S., A micromechanical definition of the Cauchy stress tensor for particulate media. Procs. Intl. Symp. on the Mechanical Behaviour of Structured Media, ed. Selvadurai, Part B., (1981), p. 469-486
30. Scharle P., Thermodynamic aspects suggested for granular materials. In: Mechanics of Granular Materials (Report of ISSMFE TC 13, XII. ICSMFE, Rio de Janeiro, 1989), ed. M. Satake, Japan, (1989)
31. Serrano A. A., & Rodriguez-Ortiz J. M., A contribution to the mechanics of heterogeneous granular media. Procs. Symp. Plasticity and Soil Mechanics, (1973), p. 215-227
32. Stoyan D., private communication (2002)
33. Thornton C., Force Transmission in Granular Media. KONA, 15 (1997), p. 81-89
34. Tsongui O., Vallet D., & Charmet J.-C., Use of contact area trace to study the force distributions inside 2D granular systems. Granular Matter, 1 (1998) p. 65-69
35. Weber J.. Recherche concernant le contraintes intergranulaires dens les milieux pulvérulents. Bulletin de Liaison des Ponts et Chausées, Paris, 20 (1966), p. 1-20