Force Distributions in Dense Two-Dimensional Granular Systems

Radjaï, Farhang; Jean, M.; Moreau, Jean Jacques; Roux, Stéphane

doi:10.1103/physrevlett.77.274

Cited by 677 publications

(580 citation statements)

References 7 publications

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“…The numerical value obtained for D ww seems in agreement with the idea that forces are transmitted primarily along one-dimensional structures in noncrystalline systems, as e.g. observed in granular materials [20,21,22]. …”

Section: Resultssupporting

confidence: 88%

Condensation of elastic energy in two-dimensional packing of wires

Donato

Gomes

2007

Phys. Rev. E

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Forced packing of a long metallic wire injected into a two-dimensional cavity leads to crushed structures involving a hierarchical cascade of loops with varying curvature radii. We study the distribution of elastic energy stored in such systems from experiments, and high-resolution digital techniques. It is found that the set where the elastic energy of curvature is concentrated has dimension DS = 1.0 ± 0.1, while the set where the mass is distributed, has dimension D = 1.9 ± 0.1.

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Section: Resultssupporting

confidence: 88%

Condensation of elastic energy in two-dimensional packing of wires

Donato

Gomes

2007

Phys. Rev. E

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“…Numerical simulations by the CD method provided detailed evidence for force chains, the organization of the force network into strong and weak networks, and the exponential distribution of strong forces [13,14]. Moreover, the force probability density functions (pdf's) from simulations showed that the weak forces (below the average force) in a sheared granular system have a nearly uniform or decreasing power law shape in agreement with refined carbon paper experiments [2,5].…”

Section: Introductionsupporting

confidence: 57%

“…Granular disorder and steric exclusions lead to an unexpectedly inhomogeneous distribution of contact forces under quasistatic loading [1][2][3][4][5][6][7][8][9][10]. These force inhomogeneities in granular assemblies were first observed by means of photoelastic experiments [11,12].…”

Section: Introductionmentioning

confidence: 99%

Force transmission in dry and wet granular media

et al. 2009

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We compare the probability density functions of normal forces in dry and wet granular systems from 3D simulations by molecular dynamics and contact dynamics methods. While the strong forces are characterized by a decreasing exponential distribution, we show that in the range of weak forces the force distribution in a dry granular packing is sensitive to the anisotropy of the packing and the shape of the particles. By means of a model of capillary cohesion, implemented as a force law expressing the capillary force as a function of water volume and the distance between particles, we find that distributions are exponential for both compressive and tensile forces. The particle pressures are shown to form a bi-percolating structure.

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“…Molecular dynamics (MD) or discrete element models (DEM) require the contact forces and torques as the basic input, to solve the equations of motion for all particles in the system. Alternative methods like event-driven MD [38,39,41] or contact dynamics [28,55,56,63,65] are based on further simplifications, like the assumption of instantaneous contacts or the perfect rigidity of particles, but will not be discussed here.…”

mentioning

confidence: 99%

Cohesive, frictional powders: contact models for tension

Luding¹

2008

Granular Matter

514

431

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The contacts between cohesive, frictional particles with sizes in the range 0.1-10 µm are the subject of this study. Discrete element model (DEM) simulations rely on realistic contact force models-however, too much details make both implementation and interpretation prohibitively difficult. A rather simple, objective contact model is presented, involving the physical properties of elastic-plastic repulsion, dissipation, adhesion, friction as well as rollingand torsion-resistance. This contact model allows to model bulk properties like friction, cohesion and yield-surfaces. Very loose packings and even fractal agglomerates have been reported in earlier work. The same model also allows for pressure-sintering and tensile strength tests as presented in this study.

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Force Distributions in Dense Two-Dimensional Granular Systems

Cited by 677 publications

References 7 publications

Condensation of elastic energy in two-dimensional packing of wires

Condensation of elastic energy in two-dimensional packing of wires

Force transmission in dry and wet granular media

Cohesive, frictional powders: contact models for tension

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