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We describe experiments that probe the response to a point force of 2D granular systems under a variety of conditions. Using photoelastic particles to determine forces at the grain scale, we experimentally show that disorder, packing…

Materials Science · Physics 2009-11-07 Junfei Geng , G. Reydellet , E. Clement , R. P. Behringer

The strength of granular materials is highly dependent on grain connectivity (fabric), force transmission, and frictional mobilization at the particle scale. Furthermore, these bulk properties are strongly dependent on the geometry and…

Soft Condensed Matter · Physics 2025-06-12 Carmen Lee , Émilien Azéma , Karen Daniels

Athermal (i.e. zero-temperature) under-constrained systems are typically floppy, but they can be rigidified by the application of external strain, which is theoretically well understood. Here and in the companion paper, we extend this…

Soft Condensed Matter · Physics 2024-12-31 Cheng-Tai Lee , Matthias Merkel

The three-dimensional XY model is investigated in the presence of a uniform magnetic field applied in the $X$-direction. The nearest neighbour intraplanar interaction is considered ferromagnetic, and the interplanar nearest neighbour…

Statistical Mechanics · Physics 2022-08-30 Muktish Acharyya , Erol Vatansever

This article presents a new force model for performing quantitative simulations of dense granular materials. Interactions between multiple contacts (MC) on the same grain are explicitly taken into account. Our readily applicable method…

Soft Condensed Matter · Physics 2018-10-22 Nicolas Brodu , Joshua A. Dijksman , Robert P. Behringer

We present a minimalistic approach to simulations of force transmission through granular systems. We start from a configuration containing cohesive (tensile) contact forces and use an adaptive procedure to find the stable configuration with…

Soft Condensed Matter · Physics 2009-10-31 Alexei V. Tkachenko , Thomas A. Witten

Physical experiments can characterize the elastic response of granular materials in terms of macroscopic state-variables, namely volume (packing) fraction and stress, while the microstructure is not accessible and thus neglected. Here, by…

Soft Condensed Matter · Physics 2015-06-16 Nishant Kumar , Stefan Luding , Vanessa Magnanimo

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

A simple analytical model of intergranular normal stresses is proposed for a general elastic polycrystalline material with arbitrary shaped and randomly oriented grains under uniform loading. The model provides algebraic expressions for the…

Materials Science · Physics 2023-04-21 Samir El Shawish , Timon Mede

One of the essential questions in the area of granular matter is, how to obtain macroscopic tensorial quantities like stress and strain from ``microscopic'' quantities like the contact forces in a granular assembly. Different averaging…

Statistical Mechanics · Physics 2007-05-23 Marc Lätzel , Stefan Luding , Hans J. Herrmann

Simulated granular packings with different particle friction coefficient mu are examined. The distribution of the particle-particle and particle-wall normal and tangential contact forces P(f) are computed and compared with existing…

Statistical Mechanics · Physics 2009-11-07 Leonardo E. Silbert , Gary S. Grest , James W. Landry

A thermodynamic formulation for moving granular material is proposed. The fluctuations due to the constant flux and dissipation of energy are controlled in a `granular' ensemble by a pressure $\wp$ (`compression') which is conjugate to a…

Condensed Matter · Physics 2009-10-22 H. J. Herrmann

Force networks form the skeleton of static granular matter. They are the key ingredient to mechanical properties, such as stability, elasticity and sound transmission, which are of utmost importance for civil engineering and industrial…

Soft Condensed Matter · Physics 2009-11-11 Srdjan Ostojic , Ellak Somfai , Bernard Nienhuis

Interparticle cohesion is prevalent in stored powders, geological formations, and infrastructure engineering, yet a comprehensive understanding of the effects of its micro-mechanics on bulk properties has not been established…

Soft Condensed Matter · Physics 2026-03-11 Abrar Naseer , Karen E. Daniels , Tejas G. Murthy

We show that in slowly generated 2d packings of frictional spheres, a significant fraction of the friction forces lies at the Coulomb threshold - for small pressure p and friction coefficient mu, about half of the contacts. Interpreting…

Soft Condensed Matter · Physics 2009-11-11 Kostya Shundyak , Martin van Hecke , Wim van Saarloos

Computational experiments are used to show that grain boundary mobility is independent of driving force in a two-dimensional, square-lattice Ising model with Metropolis kinetics. This is established over the entire Monte Carlo temperature…

Materials Science · Physics 2009-03-03 Liangzhe Zhang , Timothy Bartel , Mark T. Lusk

A long-standing issue in the area of granular media is the tail of the force distribution, in particular whether this is exponential, Gaussian, or even some other form. Here we resolve the issue for the case of the force network ensemble in…

Soft Condensed Matter · Physics 2009-11-13 Brian P. Tighe , Adrianne R. T. van Eerd , Thijs J. H. Vlugt

When an amorphous material is strained beyond the point of yielding it enters a state of continual reconfiguration via dissipative, avalanche-like slip events that relieve built-up local stress. However, how the statistics of such events…

Soft Condensed Matter · Physics 2019-01-30 Kieran A. Murphy , Karin A. Dahmen , Heinrich M. Jaeger

Characterizing the degeneracy of local stress states is a central challenge in obtaining the complete statistical mechanics of disordered media. Here, we introduce a minimal force-balance model for isolated granular clusters to probe the…

Soft Condensed Matter · Physics 2025-06-10 Aashish K. Gupta , Christopher Ness , Sina Haeri

We show that the yielding transition in granular media displays second-order critical-point scaling behavior. We carry out discrete element simulations in the low inertial number limit for frictionless, purely repulsive spherical grains…

Soft Condensed Matter · Physics 2018-06-13 Abram H. Clark , Jacob D. Thompson , Mark D. Shattuck , Nicholas T. Ouellette , Corey S. O'Hern