A master equation for force distributions in polydisperse frictional particles

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    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

    Keywords

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

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  • 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.