@article{TMF_2022_212_2_a5,
author = {D. V. Grinev},
title = {Toy model of {a~Boltzmann-type} equation for the~ contact},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {257--262},
year = {2022},
volume = {212},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2022_212_2_a5/}
}
D. V. Grinev. Toy model of a Boltzmann-type equation for the contact. Teoretičeskaâ i matematičeskaâ fizika, Tome 212 (2022) no. 2, pp. 257-262. http://geodesic.mathdoc.fr/item/TMF_2022_212_2_a5/
[1] A. J. Liu, S. R. Nagel (eds.), Jamming and Rheology: Constrained Dynamics on Microscopic Scales, Taylor and Francis, London, 2001 | DOI
[2] H. J. Herrmann, J.-P. Hovi, S. Luding (eds.), Physics of Dry Granular Media, Proceedings of the NATO Advanced Study Institute Summer School (Cargèse, September 15–26, 1997), NATO Science Series E: Applied Sciences, 350, Kluwer, Dordrecht, 1998 | DOI | MR
[3] A. Baule, F. Morone, H. J. Herrmann, H. A. Makse, “Edwards statistical mechanics for jammed granular matter”, Rev. Modern Phys., 90:1 (2018), 015006, 58 pp. | DOI | MR
[4] C.-H. Liu, S. R. Nagel, D. A. Schecter, S. N. Coppersmith, S. Majumdar, O. Narayan, T. A. Witten, “Force fluctuations in bead packs”, Science, 269:5223 (1995), 513–515 | DOI
[5] C. Thornton, S. J. Antony, “Quasi-static deformation of particulate media”, Phil. Trans. Roy. Soc. A, 356:1747 (1998), 2763–2782 | DOI
[6] J. Sartor, Using force networks to better understand granular materials, Ph. D. Thesis, University of Oregon, Oregon, USA, 2021
[7] S. F. Edwards, D. V. Grinev, “Statistical mechanics of stress transmission in disordered granular arrays”, Phys. Rev. Lett., 82:26 (1999), 5397–5400, arXiv: cond-mat/9905092 | DOI
[8] R. C. Ball, D. V. Grinev, “The stress transmission universality classes of periodic granular arrays”, Phys. A, 292:1 (2001), 167–174, arXiv: cond-mat/9810124 | DOI
[9] R. C. Ball, R. Blumenfeld, “Stress field in granular systems: loop forces and potential formulation”, Phys. Rev. Lett., 88:11 (2002), 115505, 4 pp. | DOI
[10] K. Bagi, “Analysis of micro-variables through entropy principle”, Powders Grains 97, Proceedings of the 3rd International Conference on Powders and Grains (Durham, North Carolina, 18–23 May, 1997), eds. R. P. Behringer, J. T. Jenkins, Balkema, Rotterdam, 1997, 251–254
[11] A. H. W. Ngan, “Mechanical analog of temperature for the description of force distribution in static granular packings”, Phys. Rev. E, 68:1 (2003), 011301, 10 pp. | DOI
[12] N. P. Kruyt, L. Rothenburg, “Probability density functions of contact forces for cohesionless frictional granular materials”, Internat. J. Solids Struct., 39:3 (2002), 571–583 | DOI