Constant pressure axisymmetric compression of an aggregate of identical, elastic, frictional spheres

L. La Ragione; V. Magnanimo; J.T. Jenkins

doi:10.1063/1.3179838

Constant pressure axisymmetric compression of an aggregate of identical, elastic, frictional spheres

L. La Ragione, V. Magnanimo, J.T. Jenkins

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

1 Citation (Scopus)

Abstract

We present a theoretical model to predict the mechanical behavior of an idealized granular material in triaxial compression. Particle motions involve both the average strain of the aggregate and fluctuations. Force and moment equilibrium determine fluctuations in translation and rotation. Two regimes of deformations are considered: at the beginning of the shearing, the aggregate is assumed to behave elastically; then, when sliding between particles first occurs, the incremental contact forces are assumed to be frictionless. Simulations using the discrete element method are carried out and compared to the predictions of the theory.

Original language	English
Title of host publication	Powders and Grains 2009
Subtitle of host publication	Proceedings of the 6th International Conference on Micromechanics of Granular Media
Editors	Masami Nakagawa, Stefan Luding
Publisher	American Institute of Physics
Pages	1100-1103
Number of pages	4
ISBN (Print)	978-0-7354-0682-7
DOIs	https://doi.org/10.1063/1.3179838
Publication status	Published - 27 Nov 2009
Externally published	Yes
Event	6th International Conference on Micromechanics of Granular Media, Powders and Grains 2009 - Golden, United States Duration: 13 Jul 2009 → 17 Jul 2009 Conference number: 6 http://pandg2009.mines.edu/

Publication series

Name	AIP Conference Proceedings
Publisher	AIP
Volume	1145
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	6th International Conference on Micromechanics of Granular Media, Powders and Grains 2009
Abbreviated title	PG 2009
Country/Territory	United States
City	Golden
Period	13/07/09 → 17/07/09
Internet address	http://pandg2009.mines.edu/

Keywords

Granular systems
Molecular dynamics
Particle methods
Probability theory
Static elasticity
Statistics
Stochastic processes

Access to Document

10.1063/1.3179838

Cite this

Ragione, L. L., Magnanimo, V., & Jenkins, J. T. (2009). Constant pressure axisymmetric compression of an aggregate of identical, elastic, frictional spheres. In M. Nakagawa, & S. Luding (Eds.), Powders and Grains 2009: Proceedings of the 6th International Conference on Micromechanics of Granular Media (pp. 1100-1103). (AIP Conference Proceedings; Vol. 1145). American Institute of Physics. https://doi.org/10.1063/1.3179838

Ragione, L. La ; Magnanimo, V. ; Jenkins, J.T. / Constant pressure axisymmetric compression of an aggregate of identical, elastic, frictional spheres. Powders and Grains 2009: Proceedings of the 6th International Conference on Micromechanics of Granular Media. editor / Masami Nakagawa ; Stefan Luding. American Institute of Physics, 2009. pp. 1100-1103 (AIP Conference Proceedings).

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abstract = "We present a theoretical model to predict the mechanical behavior of an idealized granular material in triaxial compression. Particle motions involve both the average strain of the aggregate and fluctuations. Force and moment equilibrium determine fluctuations in translation and rotation. Two regimes of deformations are considered: at the beginning of the shearing, the aggregate is assumed to behave elastically; then, when sliding between particles first occurs, the incremental contact forces are assumed to be frictionless. Simulations using the discrete element method are carried out and compared to the predictions of the theory.",

keywords = "Granular systems, Molecular dynamics, Particle methods, Probability theory, Static elasticity, Statistics, Stochastic processes",

author = "Ragione, {L. La} and V. Magnanimo and J.T. Jenkins",

year = "2009",

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booktitle = "Powders and Grains 2009",

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note = "6th International Conference on Micromechanics of Granular Media, Powders and Grains 2009, PG 2009 ; Conference date: 13-07-2009 Through 17-07-2009",

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Ragione, LL, Magnanimo, V & Jenkins, JT 2009, Constant pressure axisymmetric compression of an aggregate of identical, elastic, frictional spheres. in M Nakagawa & S Luding (eds), Powders and Grains 2009: Proceedings of the 6th International Conference on Micromechanics of Granular Media. AIP Conference Proceedings, vol. 1145, American Institute of Physics, pp. 1100-1103, 6th International Conference on Micromechanics of Granular Media, Powders and Grains 2009, Golden, Colorado, United States, 13/07/09. https://doi.org/10.1063/1.3179838

Constant pressure axisymmetric compression of an aggregate of identical, elastic, frictional spheres. / Ragione, L. La; Magnanimo, V.; Jenkins, J.T.
Powders and Grains 2009: Proceedings of the 6th International Conference on Micromechanics of Granular Media. ed. / Masami Nakagawa; Stefan Luding. American Institute of Physics, 2009. p. 1100-1103 (AIP Conference Proceedings; Vol. 1145).

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

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Y1 - 2009/11/27

N2 - We present a theoretical model to predict the mechanical behavior of an idealized granular material in triaxial compression. Particle motions involve both the average strain of the aggregate and fluctuations. Force and moment equilibrium determine fluctuations in translation and rotation. Two regimes of deformations are considered: at the beginning of the shearing, the aggregate is assumed to behave elastically; then, when sliding between particles first occurs, the incremental contact forces are assumed to be frictionless. Simulations using the discrete element method are carried out and compared to the predictions of the theory.

AB - We present a theoretical model to predict the mechanical behavior of an idealized granular material in triaxial compression. Particle motions involve both the average strain of the aggregate and fluctuations. Force and moment equilibrium determine fluctuations in translation and rotation. Two regimes of deformations are considered: at the beginning of the shearing, the aggregate is assumed to behave elastically; then, when sliding between particles first occurs, the incremental contact forces are assumed to be frictionless. Simulations using the discrete element method are carried out and compared to the predictions of the theory.

KW - Granular systems

KW - Molecular dynamics

KW - Particle methods

KW - Probability theory

KW - Static elasticity

KW - Statistics

KW - Stochastic processes

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DO - 10.1063/1.3179838

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T3 - AIP Conference Proceedings

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EP - 1103

BT - Powders and Grains 2009

A2 - Nakagawa, Masami

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Ragione LL, Magnanimo V, Jenkins JT. Constant pressure axisymmetric compression of an aggregate of identical, elastic, frictional spheres. In Nakagawa M, Luding S, editors, Powders and Grains 2009: Proceedings of the 6th International Conference on Micromechanics of Granular Media. American Institute of Physics. 2009. p. 1100-1103. (AIP Conference Proceedings). doi: 10.1063/1.3179838

Constant pressure axisymmetric compression of an aggregate of identical, elastic, frictional spheres

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