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We present calculations of forces for two dimensional static sandpile models. Using a symbolic calculation software we obtain exact results for several different orientations of the lattice and for different types of supporting surfaces.…

Disordered Systems and Neural Networks · Physics 2009-10-30 G. Oron , H. J. Herrmann

We report on experimentally observed shear stress fluctuations in both granular solid and fluid states, showing that they are non-Gaussian at low shear rates, reflecting the predominance of correlated structures (force chains) in the…

Statistical Mechanics · Physics 2009-11-11 Fergal Dalton , Francis Farrelly , Alberto Petri , Luciano Pietronero , Luca Pitolli , Giorgio Pontuale

"Granular elasticity," useful for calculating static stress distributions in granular media, is generalized by including the effects of slowly moving, deformed grains. The result is a hydrodynamic theory for granular solids that agrees well…

Soft Condensed Matter · Physics 2009-11-13 Yimin Jiang , Mario Liu

We present an experimental investigation of the probability distribution of normal contact forces, $P(F)$, at the bottom boundary of static three dimensional packings of compressible granular materials. We find that the degree of…

Soft Condensed Matter · Physics 2009-11-07 J. Michael Erikson , Nathan W. Mueggenburg , Heinrich M. Jaeger , Sidney R. Nagel

We study the nonlinear elastic response of a two-dimensional material to a localized boundary force, with the particular goal of understanding the differences observed between isotropic granular materials and those with hexagonal…

Soft Condensed Matter · Physics 2009-11-13 B. P. Tighe , J. E. S. Socolar

Assemblies of granular particles mechanically stable under their own weight contain arches. These are structural units identified as sets of mutually stable grains. It is generally assumed that these arches shield the weight above them and…

Soft Condensed Matter · Physics 2012-07-10 C. Manuel Carlevaro , Luis A. Pugnaloni

Stress transmission in planar open-cell cellular solids is analysed using a recent theory developed for marginally rigid granular assemblies. This is made possible by constructing a one-to-one mapping between the two systems. General…

Materials Science · Physics 2009-11-07 Raphael Blumenfeld

We have recently developed some simple continuum models of static granular media which display "fragile" behaviour: they predict that the medium is unable to support certain types of infinitesimal load (which we call "incompatible" loads)…

Materials Science · Physics 2009-10-31 M. E. Cates , J. P. Wittmer , J. -P. Bouchaud , P. Claudin

Dense granular flows are well described by several continuum models, however, their internal dynamics remain elusive. This study explores the contact force distributions in simulated steady and homogenous shear flows. Results demonstrate…

Soft Condensed Matter · Physics 2022-11-21 Matthew Macaulay , Pierre Rognon

We study theoretically the complex network of forces that is responsible for the static structure and properties of granular materials. We present detailed calculations for a model in which the fluctuations in the force distribution arise…

Condensed Matter · Physics 2009-10-28 S. N. Coppersmith , C. -h. Liu , S. Majumdar , O. Narayan , T. A. Witten

The transmission of stress is analysed for static periodic arrays of rigid grains, with perfect and zero friction. For minimal coordination number (which is sensitive to friction, sphericity and dimensionality), the stress distribution is…

Disordered Systems and Neural Networks · Physics 2009-10-31 R. C. Ball , D. V. Grinev

Loops undergoing thermal fluctuations are prevalent in nature. Ring-like or cross-linked polymers, cyclic macromolecules, and protein-mediated DNA loops all belong to this category. Stability of these molecules are generally described in…

Computational Physics · Physics 2016-04-27 James T. Waters , Harold D. Kim

Non-cohesive granular media exhibit complex responses to sudden impact that often differ from those of ordinary solids and liquids. We investigate how this response is mediated by the presence of interstitial gas between the grains. Using…

Soft Condensed Matter · Physics 2016-06-27 John R. Royer , Eric I. Corwin , Peter J. Eng , Heinrich M. Jaeger

We investigate the Green function of two-dimensional dense random packings of grains in order to discriminate between the different theories of stress transmission in granular materials. Our computer simulations allow for a detailed…

Soft Condensed Matter · Physics 2009-11-11 N. Gland , P. Wang , Hernan A. Makse

A recent theory for stress transmission in isostatic granular and cellular systems predicts a constitutive equation that couples the stress field to the local microstructure. The theory could not be applied to macroscopic systems because…

Soft Condensed Matter · Physics 2009-11-10 Raphael Blumenfeld

A theory of stress fields in two-dimensional granular materials based on directed force chain networks is presented. A general equation for the densities of force chains in different directions is proposed and a complete solution is…

Condensed Matter · Physics 2009-11-07 J. E. S. Socolar , D. G. Schaeffer , P. Claudin

The force network ensemble is one of the most promising statistical descriptions of granular media, with an entropy accounting for all force configurations at mechanical equilibrium consistent with some external stress. It is possible to…

Computational Physics · Physics 2017-05-05 Manuel A. Cárdenas-Barrantes , Jose Daniel Muñoz , William F. Oquendo

Like in liquids, objects moving in granular materials experience a drag force. We investigate here whether and how the object acceleration affect this drag force. The study is based on simulations of a canonical drag test, which involves…

Soft Condensed Matter · Physics 2019-07-15 Shivakumar Athani , Pierre Rognon

The distribution P(F) of contact forces F in a homogeneous isotropic disordered granular sample subject to uniform triaxial stress field is studied using a model where forces propagate and collide. Collisions occur at grain and obey given…

Soft Condensed Matter · Physics 2007-05-23 P. Evesque

We study segregation and stratification of mixtures of grains differing in size, shape and material properties poured in two-dimensional silos using a microscopic lattice model for surface flows of grains. The model incorporates the…

Statistical Mechanics · Physics 2009-10-31 Hernan A. Makse , Hans J. Herrmann