Evolution of the effective moduli for anisotropic granuar materials during pure shear

Nishant Kumar; Olukayode Isaiah Imole; Vanessa Magnanimo; Stefan Luding

doi:10.1063/1.4812162

Evolution of the effective moduli for anisotropic granuar materials during pure shear

Nishant Kumar, Olukayode Isaiah Imole, Vanessa Magnanimo, Stefan Luding

Faculty of Engineering Technology

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

5 Citations (Scopus)

51 Downloads (Pure)

Abstract

We analyze the behavior of a frictionless dense granular packing sheared at constant volume. Goal is to predict the evolution of the effective moduli along the loading path. Because of the structural anisotropy that develops in the system, volumetric and deviatoric stresses and strains are cross coupled via four distinct quantities, the classical bulk and shear moduli and two anisotropy moduli. Here, by means of numerical simulation, we apply small perturbations to various equilibrium states that previously experienced different pure shear strains and investigate the effect of the microstructure (2 nd rank fabric tensor) on the elastic bulk response. Besides the expected dependence of the bulk modulus on the isotropic fabric, we find that both the isotropic density of contacts and the (deviatoric) orientational anisotropy affect the anisotropy moduli. Interestingly, the shear modulus of the material depends also on the actual stress state, along with the (isotropic and anisotropic) contact configuration.

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	1238-1241
ISBN (Print)	978-0-7354-1166-1
DOIs	https://doi.org/10.1063/1.4812162 https://doi.org/10.1063/1.4812162
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

DEM
Deviatoric stress and strain
Structural anisotropy
Calibration
PARDEM

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Kumar, N., Imole, O. I., Magnanimo, V., & Luding, S. (2013). Evolution of the effective moduli for anisotropic granuar materials during pure shear. 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. 1238-1241). (AIP Conference Proceedings; Vol. 1542). American Institute of Physics. https://doi.org/10.1063/1.4812162, https://doi.org/10.1063/1.4812162

Kumar, Nishant ; Imole, Olukayode Isaiah ; Magnanimo, Vanessa et al. / Evolution of the effective moduli for anisotropic granuar materials during pure shear. 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. 1238-1241 (AIP Conference Proceedings).

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abstract = "We analyze the behavior of a frictionless dense granular packing sheared at constant volume. Goal is to predict the evolution of the effective moduli along the loading path. Because of the structural anisotropy that develops in the system, volumetric and deviatoric stresses and strains are cross coupled via four distinct quantities, the classical bulk and shear moduli and two anisotropy moduli. Here, by means of numerical simulation, we apply small perturbations to various equilibrium states that previously experienced different pure shear strains and investigate the effect of the microstructure (2 nd rank fabric tensor) on the elastic bulk response. Besides the expected dependence of the bulk modulus on the isotropic fabric, we find that both the isotropic density of contacts and the (deviatoric) orientational anisotropy affect the anisotropy moduli. Interestingly, the shear modulus of the material depends also on the actual stress state, along with the (isotropic and anisotropic) contact configuration.",

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Kumar, N, Imole, OI, Magnanimo, V & Luding, S 2013, Evolution of the effective moduli for anisotropic granuar materials during pure shear. 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. 1238-1241, 7th International Conference on Micromechanics of Granular Media, Powders and Grains 2013, Sydney, New South Wales, Australia, 8/07/13. https://doi.org/10.1063/1.4812162, https://doi.org/10.1063/1.4812162

Evolution of the effective moduli for anisotropic granuar materials during pure shear. / Kumar, Nishant; Imole, Olukayode Isaiah; Magnanimo, Vanessa 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. 1238-1241 (AIP Conference Proceedings; Vol. 1542).

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

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AU - Imole, Olukayode Isaiah

AU - Magnanimo, Vanessa

AU - Luding, Stefan

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PY - 2013/7/8

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N2 - We analyze the behavior of a frictionless dense granular packing sheared at constant volume. Goal is to predict the evolution of the effective moduli along the loading path. Because of the structural anisotropy that develops in the system, volumetric and deviatoric stresses and strains are cross coupled via four distinct quantities, the classical bulk and shear moduli and two anisotropy moduli. Here, by means of numerical simulation, we apply small perturbations to various equilibrium states that previously experienced different pure shear strains and investigate the effect of the microstructure (2 nd rank fabric tensor) on the elastic bulk response. Besides the expected dependence of the bulk modulus on the isotropic fabric, we find that both the isotropic density of contacts and the (deviatoric) orientational anisotropy affect the anisotropy moduli. Interestingly, the shear modulus of the material depends also on the actual stress state, along with the (isotropic and anisotropic) contact configuration.

AB - We analyze the behavior of a frictionless dense granular packing sheared at constant volume. Goal is to predict the evolution of the effective moduli along the loading path. Because of the structural anisotropy that develops in the system, volumetric and deviatoric stresses and strains are cross coupled via four distinct quantities, the classical bulk and shear moduli and two anisotropy moduli. Here, by means of numerical simulation, we apply small perturbations to various equilibrium states that previously experienced different pure shear strains and investigate the effect of the microstructure (2 nd rank fabric tensor) on the elastic bulk response. Besides the expected dependence of the bulk modulus on the isotropic fabric, we find that both the isotropic density of contacts and the (deviatoric) orientational anisotropy affect the anisotropy moduli. Interestingly, the shear modulus of the material depends also on the actual stress state, along with the (isotropic and anisotropic) contact configuration.

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KW - Deviatoric stress and strain

KW - Structural anisotropy

KW - Calibration

KW - PARDEM

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ER -

Kumar N, Imole OI, Magnanimo V , Luding S. Evolution of the effective moduli for anisotropic granuar materials during pure shear. 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. 1238-1241. (AIP Conference Proceedings). doi: 10.1063/1.4812162, 10.1063/1.4812162

Evolution of the effective moduli for anisotropic granuar materials during pure shear

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