Use of contact area trace to study the force distributions inside 2D granular systems

Tsoungui, Olivier; Vallet, Denis; Charmet, Jean‐Claude

doi:10.1007/s100350050010

Cited by 28 publications

(26 citation statements)

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“…The same series of packings are plotted here as in suggested that the peak is symptomatic of the jammed state [51]. These three features, the "look and feel" of P (f ), are observed in a variety of simulations and experiments [2,4,10,11,30,[51][52][53][54][55][56][57][58]. This hints at generic mechanisms that can be probed within the FNE, in particular since the qualitative features of P (f ) in packings are insensitive to the force law.…”

Section: A Characteristic Features Of P (F )mentioning

confidence: 99%

Force Network Ensemble: A New Approach to Static Granular Matter

et al. 2004

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For packings of hard but not perfectly rigid particles, the length scales that govern the packing geometry and the contact forces are well separated. This separation of length scales is explored in the force network ensemble, where one studies the space of allowed force configurations for a given, frozen contact geometry. Here we review results of this approach, which yields nontrivial predictions for the effect of packing dimension and anisotropy on the contact force distribution P (f ), the response to overall shear and point forcing, all of which can be studied in great numerical detail. Moreover, there are emerging analytical approaches that very effectively capture, for example, the form of force distributions.

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Section: A Characteristic Features Of P (F )mentioning

confidence: 99%

Force Network Ensemble: A New Approach to Static Granular Matter

et al. 2004

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“…In equation (9), l c i is the branch vector related to the contact c, and the sum runs over all the contacts C i of particle i. Making use of the particle-center averaging introduced in equation (8) the mean stress reads (10) where the sum runs over the whole system.…”

Section: Micromechanicsmentioning

confidence: 99%

“…Huge experimental and theoretical efforts have been made to try and obtain a better understanding of the global behavior of these many-body systems in terms of local particle-particle interactions. In granular packing, forces are generally transferred from particle to particle through contacts and force chains which can branch at a grain and generate a beautiful force network [5]- [9]. Particles outside these force chains support practically no load and can be removed from the packing without changing the global mechanical properties of the system.…”

Section: Introductionmentioning

confidence: 99%

Granular packings of elongated faceted particles deposited under gravity

Hidalgo¹,

Zuriguel²,

Maza³

et al. 2010

J. Stat. Mech.

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Abstract. We report experimental and theoretical results of the effect that particle shape has on the packing properties of granular materials. We have systematically measured the particle angular distribution, the cluster size distribution and the stress profiles of ensembles of faceted elongated particles deposited in a bidimensional box. Stress transmission through this granular system has been numerically simulated using a two-dimensional model of irregular particles. For grains of maximum symmetry (squares), the stress propagation localizes and forms chain-like forces analogous to those observed for granular materials composed of spheres. For thick layers of grains, a pressure saturation is observed for deposit depths beyond a characteristic length. This scenario correlates with packing morphology and can be understood in terms of stochastic models of aggregation and random multiplicative processes. As grains elongate and lose their symmetry, stress propagation is strongly affected. Lateral force transmission becomes less favored than vertical transfer, and hence, an increase in the pressure develops with depth, hindering force saturation.

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“…One important quantitative way of analyzing the inhomogeneities of these force networks is to measure the probability distribution P(F) of the normal forces F between neighboring particles [23,24]. Experimental and simulation studies on static granular systems show that P(F) exhibits several generic features: an approximately exponential decay above the averaged force F and a plateau or peak below the averaged force F [23][24][25][26][27]. However, other investigations have also shown that P(F) exhibits some different distribution forms under certain conditions [22,28,29].…”

Section: Distribution Of Contact Forcesmentioning

confidence: 99%

Particle dynamics in dense shear granular flow

Wang

Zhou

2009

Acta Mech Sin

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The particle dynamics in an annular shear granular flow is studied using the discrete element method, and the influences of packing fraction, shear rate and friction coefficient are analyzed. We demonstrate the existence of a critical packing fraction exists in the shear granular flow. When the packing fraction is lower than this critical value, the mean tangential velocity profile exhibits a rate-independent feature. However, when the packing fraction exceeds this critical value, the tangential velocity profile becomes rate-dependent and varies gradually from linear to nonlinear with increasing shear rate. Furthermore, we find a continuous transition from the unjammed state to the jammed state in a shear granular flow as the packing fraction increases. In this transforming process, the force distribution varies distinctly and the contact force network also exhibits different features.

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Use of contact area trace to study the force distributions inside 2D granular systems

Cited by 28 publications

References 1 publication

Force Network Ensemble: A New Approach to Static Granular Matter

Force Network Ensemble: A New Approach to Static Granular Matter

Granular packings of elongated faceted particles deposited under gravity

Particle dynamics in dense shear granular flow

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