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In this numerical study, measurements of the contact forces inside a periodic two-dimensional sheared system of soft frictional particles are reported. The distribution of normalized normal forces exhibits a gradual broadening with…

Soft Condensed Matter · Physics 2015-07-28 Jens Boberski , M. Reza Shaebani , Dietrich E. Wolf

The evolution of the force distributions during the isotropic compression of two dimensional packings of soft frictional particles is investigated numerically. Regardless of the applied deformation, the normal contact force distribution can…

Soft Condensed Matter · Physics 2014-02-25 Jens Boberski , M. Reza Shaebani , Dietrich E. Wolf

We report on systematic measurements of the distribution of normal forces exerted by granular material under uniaxial compression onto the interior surfaces of a confining vessel. Our experiments on three-dimensional, random packings of…

Materials Science · Physics 2009-10-31 Daniel M. Mueth , Heinrich M. Jaeger , Sidney R. Nagel

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 present a systematic investigation of the distribution of normal forces at the boundaries of static packings of spheres. A new method for the efficient construction of large hexagonal-close-packed crystals is introduced and used to study…

Soft Condensed Matter · Physics 2009-10-31 Daniel L. Blair , Nathan W. Mueggenburg , Adam H. Marshall , Heinrich M. Jaeger , Sidney R. Nagel

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

We numerically study the distribution P(f) of contact forces in frictionless bead packs, by averaging over the ensemble of all possible force network configurations. We resort to umbrella sampling to resolve the asymptotic decay of P(f) for…

We study a scalar lattice model for inter-grain forces in static, non-cohesive, granular materials, obtaining two primary results. (i) The applied stress as a function of overall strain shows a power law dependence with a nontrivial…

Soft Condensed Matter · Physics 2009-10-31 Matthew G. Sexton , Joshua E. S. Socolar , David G. Schaeffer

A scenario for yielding of granular matter is presented by considering the ensemble of force networks for a given contact network and applied shear stress $\tau$. As $\tau$ is increased, the probability distribution of contact forces…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jacco H. Snoeijer , Wouter G. Ellenbroek , Thijs. J. H. Vlugt , Martin van Hecke

We examine the network of forces to be expected in a static assembly of hard, frictionless spherical beads of random sizes, such as a colloidal glass. Such an assembly is minimally connected: the ratio of constraint equations to contact…

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

We study the statistics of the force felt by a particle in the class of spatially correlated distribution of identical point-like particles, interacting via a $1/r^2$ pair force (i.e. gravitational or Coulomb), and obtained by randomly…

Statistical Mechanics · Physics 2009-11-11 A. Gabrielli , T. Baertschiger , M. Joyce , B. Marcos , F. Sylos Labini

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

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…

Soft Condensed Matter · Physics 2010-08-03 Brian P. Tighe , Jacco H. Snoeijer , Thijs J. H. Vlugt , Martin van Hecke

Cross-linked polymer networks with orientational order constitute a wide class of soft materials and are relevant to biological systems (e.g., F-actin bundles). We analytically study the nonlinear force-extension relation of an array of…

Disordered Systems and Neural Networks · Physics 2015-06-05 Panayotis Benetatos , Stephan Ulrich , Annette Zippelius

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

We characterize the force state of shear-loaded granular matter by relating the macroscopic stress to statistical properties of the force network. The purely repulsive nature of the interaction between grains naturally provides an upper…

Disordered Systems and Neural Networks · Physics 2007-05-23 Wouter G. Ellenbroek , Jacco H. Snoeijer

Mechanical responses of soft particle packings to quasi-static deformations are determined by the microscopic restructuring of force-chain networks, where complex non-affine displacements of constituent particles cause the irreversible…

Soft Condensed Matter · Physics 2015-07-17 Kuniyasu Saitoh , Vanessa Magnanimo , Stefan Luding

We investigate the structure and mechanical behavior of assemblies of frictionless, nearly rigid equal-sized beads, in the quasistatic limit, by numerical simulation. Three different loading paths are explored: triaxial compression,…

Materials Science · Physics 2008-10-24 Pierre-Emmanuel Peyneau , Jean-Noël Roux

Scaling properties of patterns formed by large contact forces are studied as a function of the applied shear stress, in two-dimensional static packings generated from the force network ensemble. An anisotropic finite-size-scaling analysis…

Soft Condensed Matter · Physics 2007-05-23 Srdjan Ostojic , Thijs J. H. Vlugt , Bernard Nienhuis

By employing the adaptive network simulation method, we demonstrate that the ensemble-averaged stress caused by a local force for packings of frictionless rigid beads is concentrated along rays whose slope is consistent with unity: forces…

Statistical Mechanics · Physics 2009-11-07 D. A. Head , A. V. Tkachenko , T. A. Witten
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