Discrete element modelling of material non-coaxiality in simple shear flows

We investigate the quasi-static simple shear flow of a two-dimensional assembly of cohesionless particles using discrete element method (DEM) simulations. We focus on the unsteady flow regime where the solid would experience significant evolution of stresses, mobilised shear strength and dilation. W...

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Main Authors: Ai, Jun, Langston, Paul A., Yu, Hai-Sui
Format: Article
Published: Wiley 2014
Subjects:
Online Access:https://eprints.nottingham.ac.uk/2403/
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author Ai, Jun
Langston, Paul A.
Yu, Hai-Sui
author_facet Ai, Jun
Langston, Paul A.
Yu, Hai-Sui
author_sort Ai, Jun
building Nottingham Research Data Repository
collection Online Access
description We investigate the quasi-static simple shear flow of a two-dimensional assembly of cohesionless particles using discrete element method (DEM) simulations. We focus on the unsteady flow regime where the solid would experience significant evolution of stresses, mobilised shear strength and dilation. We construct the DEM model using a discretised-wall confined granular cell where the apparent boundary is allowed to dilate or contract synchronously with the confined solid. A rather uniform simple shear field is achieved across the whole assembly, which benefits rheological studies in generalising constitutive laws for continuum methods. We examine two aspects of the simple shear behaviour: macroscopic stress and strain rate evolution, particularly the non-coaxiality between the principal directions of the two; and micromechanics such as evolution of fabric. For an initially anisotropic specimen sheared under constant normal pressure, the direction of principal stress rotates towards that of the principal strain rate, gradually reducing the degree of non-coaxiality from about 45° to fluctuating around 0°. The rate in approaching coaxiality is slower in samples with larger initial porosity, stress ratio and mean stress. Generally, a faster rate in approaching coaxiality in simple shear is observed in a more dilatant sample, which often shows a larger degree of mobilised fabric anisotropy, suggesting the possible important role of instantaneous internal friction angle. The evolution of principal fabric direction resembles that of the principal stress direction.
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spelling nottingham-24032020-05-04T16:46:22Z https://eprints.nottingham.ac.uk/2403/ Discrete element modelling of material non-coaxiality in simple shear flows Ai, Jun Langston, Paul A. Yu, Hai-Sui We investigate the quasi-static simple shear flow of a two-dimensional assembly of cohesionless particles using discrete element method (DEM) simulations. We focus on the unsteady flow regime where the solid would experience significant evolution of stresses, mobilised shear strength and dilation. We construct the DEM model using a discretised-wall confined granular cell where the apparent boundary is allowed to dilate or contract synchronously with the confined solid. A rather uniform simple shear field is achieved across the whole assembly, which benefits rheological studies in generalising constitutive laws for continuum methods. We examine two aspects of the simple shear behaviour: macroscopic stress and strain rate evolution, particularly the non-coaxiality between the principal directions of the two; and micromechanics such as evolution of fabric. For an initially anisotropic specimen sheared under constant normal pressure, the direction of principal stress rotates towards that of the principal strain rate, gradually reducing the degree of non-coaxiality from about 45° to fluctuating around 0°. The rate in approaching coaxiality is slower in samples with larger initial porosity, stress ratio and mean stress. Generally, a faster rate in approaching coaxiality in simple shear is observed in a more dilatant sample, which often shows a larger degree of mobilised fabric anisotropy, suggesting the possible important role of instantaneous internal friction angle. The evolution of principal fabric direction resembles that of the principal stress direction. Wiley 2014-04-25 Article PeerReviewed Ai, Jun, Langston, Paul A. and Yu, Hai-Sui (2014) Discrete element modelling of material non-coaxiality in simple shear flows. International Journal for Numerical and Analytical Methods in Geomechanics, 38 (6). pp. 615-635. ISSN 0363-9061 Simple shear Non-coaxiality Discrete element modelling http://onlinelibrary.wiley.com/doi/10.1002/nag.2230/abstract doi:10.1002/nag.2230 doi:10.1002/nag.2230
spellingShingle Simple shear
Non-coaxiality
Discrete element modelling
Ai, Jun
Langston, Paul A.
Yu, Hai-Sui
Discrete element modelling of material non-coaxiality in simple shear flows
title Discrete element modelling of material non-coaxiality in simple shear flows
title_full Discrete element modelling of material non-coaxiality in simple shear flows
title_fullStr Discrete element modelling of material non-coaxiality in simple shear flows
title_full_unstemmed Discrete element modelling of material non-coaxiality in simple shear flows
title_short Discrete element modelling of material non-coaxiality in simple shear flows
title_sort discrete element modelling of material non-coaxiality in simple shear flows
topic Simple shear
Non-coaxiality
Discrete element modelling
url https://eprints.nottingham.ac.uk/2403/
https://eprints.nottingham.ac.uk/2403/
https://eprints.nottingham.ac.uk/2403/