Effect of size polydispersity on micromechanical properties of static granular materials

M.R. Shaebani; M. Madadi; Stefan Luding; D.E. Wolf

doi:10.1063/1.4812071

Effect of size polydispersity on micromechanical properties of static granular materials

M.R. Shaebani, M. Madadi, Stefan Luding, D.E. Wolf

Faculty of Engineering Technology

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

1 Citation (Scopus)

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Abstract

We analytically investigate the influence of particle size polydispersity on the micromechanical properties of granular packings. In order to approximate the macroscopic quantities in terms of the microscale details, we develop a meanfield approach. It is shown that the trace of the fabric and stress tensors, and the elements of the stiffness tensor can be expressed in terms of dimensionless correction factors (which depend only on the moments of the size distribution), besides the average packing properties such as packing fraction, mean coordination number, and mean normal force. The results of numerical simulations confirm the validity of our analytical predictions, as long as the size distribution is not too wide.

Original language	English
Title of host publication	Powders and Grains 2013
Subtitle of host publication	Proceedings of the 7th International Conference on Micromechanics of Granular Media
Editors	Aibing Yu, Kejun Dong, Runyu Yang, Stefan Luding
Publisher	American Institute of Physics
Pages	875-878
ISBN (Print)	978-0-7354-1166-1
DOIs	https://doi.org/10.1063/1.4812071
Publication status	Published - 8 Jul 2013
Event	7th International Conference on Micromechanics of Granular Media, Powders and Grains 2013 - Sydney, Australia Duration: 8 Jul 2013 → 12 Jul 2013 Conference number: 7 http://www.pg2013.unsw.edu.au/

Publication series

Name	AIP Conference Proceedings
Publisher	AIP Publishing LLC
Volume	1542
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	7th International Conference on Micromechanics of Granular Media, Powders and Grains 2013
Abbreviated title	Powders & Grains
Country/Territory	Australia
City	Sydney
Period	8/07/13 → 12/07/13
Internet address	http://www.pg2013.unsw.edu.au/

Keywords

Polydispersity
Granular solids
Fabric
Micromechanics

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10.1063/1.4812071

Shaebani2013effectFinal published version, 168 KBLicence: CC BY

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Shaebani, M. R., Madadi, M., Luding, S., & Wolf, D. E. (2013). Effect of size polydispersity on micromechanical properties of static granular materials. In A. Yu, K. Dong, R. Yang, & S. Luding (Eds.), Powders and Grains 2013: Proceedings of the 7th International Conference on Micromechanics of Granular Media (pp. 875-878). (AIP Conference Proceedings; Vol. 1542). American Institute of Physics. https://doi.org/10.1063/1.4812071

Shaebani, M.R. ; Madadi, M. ; Luding, Stefan et al. / Effect of size polydispersity on micromechanical properties of static granular materials. Powders and Grains 2013: Proceedings of the 7th International Conference on Micromechanics of Granular Media. editor / Aibing Yu ; Kejun Dong ; Runyu Yang ; Stefan Luding. American Institute of Physics, 2013. pp. 875-878 (AIP Conference Proceedings).

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title = "Effect of size polydispersity on micromechanical properties of static granular materials",

abstract = "We analytically investigate the influence of particle size polydispersity on the micromechanical properties of granular packings. In order to approximate the macroscopic quantities in terms of the microscale details, we develop a meanfield approach. It is shown that the trace of the fabric and stress tensors, and the elements of the stiffness tensor can be expressed in terms of dimensionless correction factors (which depend only on the moments of the size distribution), besides the average packing properties such as packing fraction, mean coordination number, and mean normal force. The results of numerical simulations confirm the validity of our analytical predictions, as long as the size distribution is not too wide.",

keywords = "Polydispersity, Granular solids, Fabric, Micromechanics",

author = "M.R. Shaebani and M. Madadi and Stefan Luding and D.E. Wolf",

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doi = "10.1063/1.4812071",

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editor = "Aibing Yu and Kejun Dong and Runyu Yang and Stefan Luding",

booktitle = "Powders and Grains 2013",

address = "United States",

note = "7th International Conference on Micromechanics of Granular Media, Powders and Grains 2013, Powders & Grains ; Conference date: 08-07-2013 Through 12-07-2013",

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Shaebani, MR, Madadi, M, Luding, S & Wolf, DE 2013, Effect of size polydispersity on micromechanical properties of static granular materials. in A Yu, K Dong, R Yang & S Luding (eds), Powders and Grains 2013: Proceedings of the 7th International Conference on Micromechanics of Granular Media. AIP Conference Proceedings, vol. 1542, American Institute of Physics, pp. 875-878, 7th International Conference on Micromechanics of Granular Media, Powders and Grains 2013, Sydney, New South Wales, Australia, 8/07/13. https://doi.org/10.1063/1.4812071

Effect of size polydispersity on micromechanical properties of static granular materials. / Shaebani, M.R.; Madadi, M.; Luding, Stefan et al.
Powders and Grains 2013: Proceedings of the 7th International Conference on Micromechanics of Granular Media. ed. / Aibing Yu; Kejun Dong; Runyu Yang; Stefan Luding. American Institute of Physics, 2013. p. 875-878 (AIP Conference Proceedings; Vol. 1542).

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

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T1 - Effect of size polydispersity on micromechanical properties of static granular materials

AU - Shaebani, M.R.

AU - Madadi, M.

AU - Luding, Stefan

AU - Wolf, D.E.

N1 - Conference code: 7

PY - 2013/7/8

Y1 - 2013/7/8

N2 - We analytically investigate the influence of particle size polydispersity on the micromechanical properties of granular packings. In order to approximate the macroscopic quantities in terms of the microscale details, we develop a meanfield approach. It is shown that the trace of the fabric and stress tensors, and the elements of the stiffness tensor can be expressed in terms of dimensionless correction factors (which depend only on the moments of the size distribution), besides the average packing properties such as packing fraction, mean coordination number, and mean normal force. The results of numerical simulations confirm the validity of our analytical predictions, as long as the size distribution is not too wide.

AB - We analytically investigate the influence of particle size polydispersity on the micromechanical properties of granular packings. In order to approximate the macroscopic quantities in terms of the microscale details, we develop a meanfield approach. It is shown that the trace of the fabric and stress tensors, and the elements of the stiffness tensor can be expressed in terms of dimensionless correction factors (which depend only on the moments of the size distribution), besides the average packing properties such as packing fraction, mean coordination number, and mean normal force. The results of numerical simulations confirm the validity of our analytical predictions, as long as the size distribution is not too wide.

KW - Polydispersity

KW - Granular solids

KW - Fabric

KW - Micromechanics

U2 - 10.1063/1.4812071

DO - 10.1063/1.4812071

M3 - Conference contribution

SN - 978-0-7354-1166-1

T3 - AIP Conference Proceedings

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BT - Powders and Grains 2013

A2 - Yu, Aibing

A2 - Dong, Kejun

A2 - Yang, Runyu

A2 - Luding, Stefan

PB - American Institute of Physics

T2 - 7th International Conference on Micromechanics of Granular Media, Powders and Grains 2013

Y2 - 8 July 2013 through 12 July 2013

ER -

Shaebani MR, Madadi M, Luding S, Wolf DE. Effect of size polydispersity on micromechanical properties of static granular materials. In Yu A, Dong K, Yang R, Luding S, editors, Powders and Grains 2013: Proceedings of the 7th International Conference on Micromechanics of Granular Media. American Institute of Physics. 2013. p. 875-878. (AIP Conference Proceedings). doi: 10.1063/1.4812071

Effect of size polydispersity on micromechanical properties of static granular materials

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