A master equation for force distributions in polydisperse frictional particles

K. Saitoh; Vanessa Magnanimo; Stefan Luding

A master equation for force distributions in polydisperse frictional particles

K. Saitoh, Vanessa Magnanimo, Stefan Luding

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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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 language	English
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
Event	4th International Conference on Particle-Based Methods, PARTICLES 2015 - Barcelona, Spain Duration: 28 Sep 2015 → 30 Sep 2015 Conference number: 4 http://congress.cimne.com/particles2015/frontal/default.asp

Conference

Conference	4th International Conference on Particle-Based Methods, PARTICLES 2015
Abbreviated title	PARTICLES 2015
Country	Spain
City	Barcelona
Period	28/09/15 → 30/09/15
Internet address	http://congress.cimne.com/particles2015/frontal/default.asp

Keywords

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

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PARTICLES2015_K.Saitoh_V.Magnanimo_S.LudingFinal published version, 1.98 MB

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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.

Saitoh, K. ; Magnanimo, Vanessa ; Luding, Stefan. / A master equation for force distributions in polydisperse frictional particles. Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015. editor / E. Oñate ; M. Bischoff ; D.R.J. Owen ; P. Wriggers ; T. Zohdi. International Center for Numerical Methods in Engineering, 2015. pp. 1028-1039

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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.",

keywords = "DEM, Force chains, Friction, Granular materials, Quasi-static deformations, Stochastic model",

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publisher = "International Center for Numerical Methods in Engineering",

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Saitoh, K, Magnanimo, V & Luding, S 2015, A master equation for force distributions in polydisperse frictional particles. in E Oñate, M Bischoff, DRJ 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, pp. 1028-1039, 4th International Conference on Particle-Based Methods, PARTICLES 2015, Barcelona, Spain, 28/09/15.

A master equation for force distributions in polydisperse frictional particles. / Saitoh, K.; Magnanimo, Vanessa ; Luding, Stefan.

Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015. ed. / E. Oñate; M. Bischoff; D.R.J. Owen; P. Wriggers; T. Zohdi. International Center for Numerical Methods in Engineering, 2015. p. 1028-1039.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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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

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Saitoh K, Magnanimo V , Luding S. A master equation for force distributions in polydisperse frictional particles. In Oñate E, Bischoff M, Owen DRJ, Wriggers P, Zohdi T, editors, Proceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015. International Center for Numerical Methods in Engineering. 2015. p. 1028-1039