Stress and fabric for polydisperse, frictionless, dense 2D granular media

M. Madadi; S. M. Peyghoon; S. Luding

doi:10.1201/NOE0415383486

Stress and fabric for polydisperse, frictionless, dense 2D granular media

M. Madadi^*, S. M. Peyghoon, S. Luding

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

For fabric and stress tensor, correlations of microscopic quantities are studied and the influence of the particle size probability distribution function is isolated from that of other quantities. Based on the observations that the covered surface area and the average force per contact are (almost) size-independent, we show that fabric and stress can be factorized into products of some averaged quantities (like coordination number, particle radius, or contact force), and dimensionless correction factors, which depend only on moments of the particle size distribution function. Numerical simulations are in proper agreement with the theoretical predictions for moderately wide size distributions.

Original language	English
Title of host publication	Powders and Grains 2005
Subtitle of host publication	Proceedings of the International Conference on Powders & Grains 2005
Editors	H. Garcia-Rojo, H.J. Herrmann, Sean McNamara
Pages	93-97
Number of pages	5
DOIs	https://doi.org/10.1201/NOE0415383486
Publication status	Published - 1 Dec 2005
Externally published	Yes
Event	5th International Conference on Micromechanics of Granular Media, Powders and Grains 2005 - Stuttgart, Germany Duration: 18 Jul 2005 → 22 Jul 2005

Conference

Conference	5th International Conference on Micromechanics of Granular Media, Powders and Grains 2005
Abbreviated title	PG 2005
Country/Territory	Germany
City	Stuttgart
Period	18/07/05 → 22/07/05

Access to Document

10.1201/NOE0415383486

Cite this

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title = "Stress and fabric for polydisperse, frictionless, dense 2D granular media",

abstract = "For fabric and stress tensor, correlations of microscopic quantities are studied and the influence of the particle size probability distribution function is isolated from that of other quantities. Based on the observations that the covered surface area and the average force per contact are (almost) size-independent, we show that fabric and stress can be factorized into products of some averaged quantities (like coordination number, particle radius, or contact force), and dimensionless correction factors, which depend only on moments of the particle size distribution function. Numerical simulations are in proper agreement with the theoretical predictions for moderately wide size distributions.",

author = "M. Madadi and Peyghoon, {S. M.} and S. Luding",

year = "2005",

month = dec,

day = "1",

doi = "10.1201/NOE0415383486",

language = "English",

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pages = "93--97",

editor = "H. Garcia-Rojo and H.J. Herrmann and Sean McNamara",

booktitle = "Powders and Grains 2005",

note = "5th International Conference on Micromechanics of Granular Media, Powders and Grains 2005, PG 2005 ; Conference date: 18-07-2005 Through 22-07-2005",

}

Madadi, M, Peyghoon, SM & Luding, S 2005, Stress and fabric for polydisperse, frictionless, dense 2D granular media. in H Garcia-Rojo, HJ Herrmann & S McNamara (eds), Powders and Grains 2005: Proceedings of the International Conference on Powders & Grains 2005. pp. 93-97, 5th International Conference on Micromechanics of Granular Media, Powders and Grains 2005, Stuttgart, Germany, 18/07/05. https://doi.org/10.1201/NOE0415383486

Stress and fabric for polydisperse, frictionless, dense 2D granular media. / Madadi, M.; Peyghoon, S. M.; Luding, S.

Powders and Grains 2005: Proceedings of the International Conference on Powders & Grains 2005. ed. / H. Garcia-Rojo; H.J. Herrmann; Sean McNamara. 2005. p. 93-97.

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

TY - GEN

T1 - Stress and fabric for polydisperse, frictionless, dense 2D granular media

AU - Madadi, M.

AU - Peyghoon, S. M.

AU - Luding, S.

PY - 2005/12/1

Y1 - 2005/12/1

N2 - For fabric and stress tensor, correlations of microscopic quantities are studied and the influence of the particle size probability distribution function is isolated from that of other quantities. Based on the observations that the covered surface area and the average force per contact are (almost) size-independent, we show that fabric and stress can be factorized into products of some averaged quantities (like coordination number, particle radius, or contact force), and dimensionless correction factors, which depend only on moments of the particle size distribution function. Numerical simulations are in proper agreement with the theoretical predictions for moderately wide size distributions.

AB - For fabric and stress tensor, correlations of microscopic quantities are studied and the influence of the particle size probability distribution function is isolated from that of other quantities. Based on the observations that the covered surface area and the average force per contact are (almost) size-independent, we show that fabric and stress can be factorized into products of some averaged quantities (like coordination number, particle radius, or contact force), and dimensionless correction factors, which depend only on moments of the particle size distribution function. Numerical simulations are in proper agreement with the theoretical predictions for moderately wide size distributions.

U2 - 10.1201/NOE0415383486

DO - 10.1201/NOE0415383486

M3 - Conference contribution

AN - SCOPUS:37849043915

SN - 0415383471

SN - 9780415383479

SP - 93

EP - 97

BT - Powders and Grains 2005

A2 - Garcia-Rojo, H.

A2 - Herrmann, H.J.

A2 - McNamara, Sean

T2 - 5th International Conference on Micromechanics of Granular Media, Powders and Grains 2005

Y2 - 18 July 2005 through 22 July 2005

ER -

Stress and fabric for polydisperse, frictionless, dense 2D granular media

Abstract

Conference

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