### Abstract

Original language | English |
---|---|

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 |

### Fingerprint

### Keywords

- IR-99060
- METIS-314810

### Cite this

*Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015*International Center for Numerical Methods in Engineering.

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*Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015.*International Center for Numerical Methods in Engineering.

**A Master equation for force distributions in polydisperse frictional particle systems.** / Saitoh, Kuniyasu; Magnanimo, Vanessa ; Luding, Stefan .

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 particle systems

AU - Saitoh, Kuniyasu

AU - Magnanimo, Vanessa

AU - Luding, Stefan

PY - 2015/5/28

Y1 - 2015/5/28

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 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.

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 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.

KW - IR-99060

KW - METIS-314810

M3 - Conference contribution

SN - 9788494424472

BT - Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015

A2 - Onate, E.

A2 - Bischoff, M.

A2 - Owen, D.R.J.

A2 - Wriggers, P.

A2 - Zohdi, T.

PB - International Center for Numerical Methods in Engineering

ER -