### 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 |
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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. 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

*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.

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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, pp. 1028-1039.

**A master equation for force distributions in polydisperse frictional particles.** / Saitoh, K.; 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 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 -