On the fabric tensor of polydisperse granular materials in 2D

Mahyar Madadi; Olivier Tsoungui; Marc Lätzel; Stefan Luding

doi:10.1016/j.ijsolstr.2003.12.005

On the fabric tensor of polydisperse granular materials in 2D

Mahyar Madadi, Olivier Tsoungui, Marc Lätzel, Stefan Luding^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

56 Citations (Scopus)

Abstract

The trace of the fabric tensor in static, isotropic, two-dimensional, frictionless, polydisperse granular materials is examined theoretically and numerically. In the monodisperse case, the trace of the fabric tensor equals the product of volume fraction and coordination number-thus the fabrics trace can be seen as contact density. For various size distributions, we obtain a correction factor to the monodisperse observation, which involves the first three moments of the particle size distribution function. The theoretical prediction is found to be in good agreement with numerical simulations of static frictionless systems.

Original language	English
Pages (from-to)	2563-2580
Number of pages	18
Journal	International journal of solids and structures
Volume	41
Issue number	9-10
Early online date	25 Jan 2004
DOIs	https://doi.org/10.1016/j.ijsolstr.2003.12.005
Publication status	Published - 1 May 2004
Externally published	Yes

Keywords

Bidisperse and polydisperse size distributions
Discrete element simulation
Fabric tensor

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title = "On the fabric tensor of polydisperse granular materials in 2D",

abstract = "The trace of the fabric tensor in static, isotropic, two-dimensional, frictionless, polydisperse granular materials is examined theoretically and numerically. In the monodisperse case, the trace of the fabric tensor equals the product of volume fraction and coordination number-thus the fabrics trace can be seen as contact density. For various size distributions, we obtain a correction factor to the monodisperse observation, which involves the first three moments of the particle size distribution function. The theoretical prediction is found to be in good agreement with numerical simulations of static frictionless systems.",

keywords = "Bidisperse and polydisperse size distributions, Discrete element simulation, Fabric tensor",

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T1 - On the fabric tensor of polydisperse granular materials in 2D

AU - Madadi, Mahyar

AU - Tsoungui, Olivier

AU - Lätzel, Marc

AU - Luding, Stefan

PY - 2004/5/1

Y1 - 2004/5/1

N2 - The trace of the fabric tensor in static, isotropic, two-dimensional, frictionless, polydisperse granular materials is examined theoretically and numerically. In the monodisperse case, the trace of the fabric tensor equals the product of volume fraction and coordination number-thus the fabrics trace can be seen as contact density. For various size distributions, we obtain a correction factor to the monodisperse observation, which involves the first three moments of the particle size distribution function. The theoretical prediction is found to be in good agreement with numerical simulations of static frictionless systems.

AB - The trace of the fabric tensor in static, isotropic, two-dimensional, frictionless, polydisperse granular materials is examined theoretically and numerically. In the monodisperse case, the trace of the fabric tensor equals the product of volume fraction and coordination number-thus the fabrics trace can be seen as contact density. For various size distributions, we obtain a correction factor to the monodisperse observation, which involves the first three moments of the particle size distribution function. The theoretical prediction is found to be in good agreement with numerical simulations of static frictionless systems.

KW - Bidisperse and polydisperse size distributions

KW - Discrete element simulation

KW - Fabric tensor

U2 - 10.1016/j.ijsolstr.2003.12.005

DO - 10.1016/j.ijsolstr.2003.12.005

M3 - Article

AN - SCOPUS:1842507652

VL - 41

SP - 2563

EP - 2580

JO - International journal of solids and structures

JF - International journal of solids and structures

SN - 0020-7683

IS - 9-10

ER -