Abstract
An incremental evolution equation, i.e. a Master equation in statistical mechanics, is introduced for force distributions in polydisperse frictional particle packings. As basic ingredients of the Master equation, the conditional probability distributions of particle overlaps are determined by molecular dynamics simulations. Interestingly, tails of the distributions become much narrower in the case of frictional particles than friction- less particles, implying that correlations of overlaps are strongly reduced by microscopic friction. Comparing different size distributions, we find that the tails are wider for the wider distribution.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015 |
| Editors | E. Oñate, M. Bischoff, D.R.J. Owen, P. Wriggers, T. Zohdi |
| Publisher | International Center for Numerical Methods in Engineering |
| Pages | 1028-1039 |
| Number of pages | 12 |
| ISBN (Electronic) | 9788494424472 |
| Publication status | Published - 2015 |
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Keywords
- DEM
- Force chains
- Friction
- Granular materials
- Quasi-static deformations
- Stochastic model
Cite this
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A master equation for force distributions in polydisperse frictional particles. / Saitoh, K.; Magnanimo, Vanessa; Luding, Stefan.
Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015. ed. / E. Oñate; M. Bischoff; D.R.J. Owen; P. Wriggers; T. Zohdi. International Center for Numerical Methods in Engineering, 2015. p. 1028-1039.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review
TY - GEN
T1 - A master equation for force distributions in polydisperse frictional particles
AU - Saitoh, K.
AU - Magnanimo, Vanessa
AU - Luding, Stefan
PY - 2015
Y1 - 2015
N2 - An incremental evolution equation, i.e. a Master equation in statistical mechanics, is introduced for force distributions in polydisperse frictional particle packings. As basic ingredients of the Master equation, the conditional probability distributions of particle overlaps are determined by molecular dynamics simulations. Interestingly, tails of the distributions become much narrower in the case of frictional particles than friction- less particles, implying that correlations of overlaps are strongly reduced by microscopic friction. Comparing different size distributions, we find that the tails are wider for the wider distribution.
AB - An incremental evolution equation, i.e. a Master equation in statistical mechanics, is introduced for force distributions in polydisperse frictional particle packings. As basic ingredients of the Master equation, the conditional probability distributions of particle overlaps are determined by molecular dynamics simulations. Interestingly, tails of the distributions become much narrower in the case of frictional particles than friction- less particles, implying that correlations of overlaps are strongly reduced by microscopic friction. Comparing different size distributions, we find that the tails are wider for the wider distribution.
KW - DEM
KW - Force chains
KW - Friction
KW - Granular materials
KW - Quasi-static deformations
KW - Stochastic model
UR - http://www.scopus.com/inward/record.url?scp=84960339772&partnerID=8YFLogxK
M3 - Conference contribution
SP - 1028
EP - 1039
BT - Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015
A2 - Oñate, E.
A2 - Bischoff, M.
A2 - Owen, D.R.J.
A2 - Wriggers, P.
A2 - Zohdi, T.
PB - International Center for Numerical Methods in Engineering
ER -