A master equation for force distributions in polydisperse frictional particles

Kuniyasu Saitoh, Vanessa Magnanimo, Stefan Luding

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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
PublisherInternational Center for Numerical Methods in Engineering
Pages1028-1039
Number of pages12
ISBN (Electronic)9788494424472
Publication statusPublished - 2015
Externally publishedYes
Event4th International Conference on Particle-Based Methods, PARTICLES 2015 - Barcelona, Spain
Duration: 2015 Sep 282015 Sep 30

Other

Other4th International Conference on Particle-Based Methods, PARTICLES 2015
CountrySpain
CityBarcelona
Period15/9/2815/9/30

Keywords

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

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Fingerprint Dive into the research topics of 'A master equation for force distributions in polydisperse frictional particles'. Together they form a unique fingerprint.

Cite this