A master equation for force distributions in polydisperse frictional particles

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

7 Downloads (Pure)

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 languageEnglish
Title of host publicationProceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015
EditorsE. Oñate, M. Bischoff, D.R.J. Owen, P. Wriggers, T. Zohdi
PublisherInternational Center for Numerical Methods in Engineering
Pages1028-1039
Number of pages12
ISBN (Electronic)9788494424472
Publication statusPublished - 2015

Fingerprint

force distribution
friction
statistical mechanics
ingredients
molecular dynamics
simulation

Keywords

  • DEM
  • Force chains
  • Friction
  • Granular materials
  • Quasi-static deformations
  • Stochastic model

Cite this

Saitoh, K., Magnanimo, V., & Luding, S. (2015). A master equation for force distributions in polydisperse frictional particles. In E. Oñate, M. Bischoff, D. R. J. Owen, P. Wriggers, & T. Zohdi (Eds.), Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015 (pp. 1028-1039). International Center for Numerical Methods in Engineering.
Saitoh, K. ; Magnanimo, Vanessa ; Luding, Stefan. / A master equation for force distributions in polydisperse frictional particles. Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015. editor / E. Oñate ; M. Bischoff ; D.R.J. Owen ; P. Wriggers ; T. Zohdi. International Center for Numerical Methods in Engineering, 2015. pp. 1028-1039
@inproceedings{98a4878d68e04251b868befc79ef35c3,
title = "A master equation for force distributions in polydisperse frictional particles",
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.",
keywords = "DEM, Force chains, Friction, Granular materials, Quasi-static deformations, Stochastic model",
author = "K. Saitoh and Vanessa Magnanimo and Stefan Luding",
year = "2015",
language = "English",
pages = "1028--1039",
editor = "E. O{\~n}ate and M. Bischoff and D.R.J. Owen and P. Wriggers and T. Zohdi",
booktitle = "Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015",
publisher = "International Center for Numerical Methods in Engineering",

}

Saitoh, K, Magnanimo, V & Luding, S 2015, A master equation for force distributions in polydisperse frictional particles. in E Oñate, M Bischoff, DRJ Owen, P Wriggers & T Zohdi (eds), Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015. International Center for Numerical Methods in Engineering, pp. 1028-1039.

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 proceedingConference contributionAcademicpeer-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 -

Saitoh K, Magnanimo V, Luding S. A master equation for force distributions in polydisperse frictional particles. In Oñate E, Bischoff M, Owen DRJ, Wriggers P, Zohdi T, editors, Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015. International Center for Numerical Methods in Engineering. 2015. p. 1028-1039