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TECHNICAL PAPERS

Frictional Collapse of Granular Assemblies

[+] Author and Article Information
Akke S. J. Suiker

Koiter Institute Delft, Faculty of Aerospace Engineering, Delft University of Technology, P.O. Box 5058, 2600 GB Delft, The Netherlands

Norman A. Fleck

Cambridge Center for Micromechanics, Department of Engineering, Cambridge University, Trumpington Street, Cambridge CB2 1PZ, UK

J. Appl. Mech 71(3), 350-358 (Jun 22, 2004) (9 pages) doi:10.1115/1.1753266 History: Received October 22, 2002; Revised October 09, 2003; Online June 22, 2004
Copyright © 2004 by ASME
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Figures

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Cuboidal volume L×L×L of equi-sized spheres with radius r, subjected to principal stresses Σ12, and Σ3
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Stress-strain response under axisymmetric compression; three confining pressures: Σconf/Gpart=−2.5×10−6,−5.0×10−6 and −7.5×10−6 (contact friction angle ϕc=24 deg). (a) Particle radius r=0.05L. (b) Particle radius r=0.025L.
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Deformation characteristics under axisymmetric compression; three confining pressures: Σconf/Gpart=−2.5×10−6,−5.0×10−6 and −7.5×10−6 (contact friction angle ϕc=24 deg, particle radius r=0.025L)
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Stress-strain response under axisymmetric compression; the contact friction angles are: ϕc=4 deg, 14 deg, 24 deg, and 34 deg. Unconstrained and constrained particle rotation.
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Influence of contact friction angle ϕc on macroscopic internal state variables (for unconstrained and constrained particle rotation). (a) Sliding contact fraction sf at steady-state collapse (Edev=5%). (b) Coordination number n̄ at steady-state collapse. (c) Porosity p at initial state (dashed line) and at steady-state collapse (solid line).
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Deformation characteristics under axisymmetric compression; the contact friction angles are: ϕc=4 deg, 14 deg, 24 deg, and 34 deg
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Contact friction angle ϕc versus macroscopic friction angle ϕ and dilatancy angle ψ at steady-state collapse (Edev=5%)
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Deformation characteristics under axisymmetric compression; the contact friction angles are: ϕc=4 deg, 14 deg, 24 deg, and 34 deg. Constrained particle rotation.
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Contact friction angle ϕc versus macroscopic friction angle ϕ. DEM versus experimental results (triaxial tests on an aggregate of steel spheres).
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Influence of particle rotation and particle rearrangement (ϕc=24 deg) for prescribed deformation paths. (a) Volumetric deformation (Ė11=Ė22=Ė33). (b) Deviatoric deformation (Ė11=−1/2Ė22=−1/2Ė33).
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Collapse contour in deviatoric plane (contact friction angle ϕc=24 deg). (a) DEM with unconstrained and constrained particle rotation. (b) DEM versus Lade-Duncan model, Mohr-Coulomb model and Drucker-Prager model (macroscopic friction angle ϕ=19 deg).

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