### 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 frictionless 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 |
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Title of host publication | Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015 |

Editors | E. Onate, M. Bischoff, D.R.J. Owen, P. Wriggers, T. Zohdi |

Publisher | International Center for Numerical Methods in Engineering |

Number of pages | 12 |

ISBN (Print) | 9788494424472 |

Publication status | Published - 28 May 2015 |

### Keywords

- IR-99060
- METIS-314810

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## Cite this

Saitoh, K., Magnanimo, V., & Luding, S. (2015). A Master equation for force distributions in polydisperse frictional particle systems. In E. Onate, 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*International Center for Numerical Methods in Engineering.