Influence of polydispersity on micromechanics of granular materials

M. Reza Shaebani; Mahyar Madadi; Stefan  Luding; Dietrich E. Wolf

doi:10.1103/PhysRevE.85.011301

Influence of polydispersity on micromechanics of granular materials

M. Reza Shaebani, Mahyar Madadi, Stefan Luding, Dietrich E. Wolf

Faculty of Engineering Technology

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

72 Citations (Scopus)

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Abstract

We study the effect of polydispersity on the macroscopic physical properties of granular packings in two and three dimensions. A mean-field approach is developed to approximate the macroscale quantities as functions of the microscopic ones. We show that the trace of the fabric and stress tensors are proportional to the mean packing properties (e.g., packing fraction, average coordination number, and average normal force) and dimensionless correction factors, which depend only on the moments of the particle-size distribution. Similar results are obtained for the elements of the stiffness tensor of isotropic packings in the linear affine response regime. Our theoretical predictions are in good agreement with the simulation results.

Original language	English
Article number	011301
Number of pages	12
Journal	Physical review E: Statistical, nonlinear, and soft matter physics
Volume	85
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.85.011301
Publication status	Published - 3 Jan 2012

Keywords

METIS-294105
IR-80402

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10.1103/PhysRevE.85.011301

Shaebani2012influenceFinal published version, 548 KB

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abstract = "We study the effect of polydispersity on the macroscopic physical properties of granular packings in two and three dimensions. A mean-field approach is developed to approximate the macroscale quantities as functions of the microscopic ones. We show that the trace of the fabric and stress tensors are proportional to the mean packing properties (e.g., packing fraction, average coordination number, and average normal force) and dimensionless correction factors, which depend only on the moments of the particle-size distribution. Similar results are obtained for the elements of the stiffness tensor of isotropic packings in the linear affine response regime. Our theoretical predictions are in good agreement with the simulation results.",

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AU - Wolf, Dietrich E.

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Influence of polydispersity on micromechanics of granular materials

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