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As a granular material is compressed, the particles and forces within the system arrange to form complex heterogeneous structures. Force chains are a prime example and are thought to constrain bulk properties such as mechanical stability…

Soft Condensed Matter · Physics 2016-09-28 Lia Papadopoulos , James Puckett , Karen E. Daniels , Danielle S. Bassett

A load applied to a jammed frictional granular system will be localized into a network of force chains making inter-particle connections throughout the system. Because such systems are typically under-constrained, the observed force network…

Soft Condensed Matter · Physics 2018-07-06 Jonathan E. Kollmer , Karen E. Daniels

An ensemble approach for force networks in static granular packings is developed. The framework is based on the separation of packing and force scales, together with an a-priori flat measure in the force phase space under the constraints…

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

We consider, computationally and experimentally, the scaling properties of force networks in the systems of circular particles exposed to compression in two spatial dimensions. The simulations consider polydisperse and monodisperse…

Computational Physics · Physics 2016-04-20 Lenka Kovalcinova , Arnaud Goullet , Lou Kondic

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

A remarkable feature of static granular matter is the distribution of force along intricate networks. Even regular inter-particle contact networks produce wildly inhomogeneous force networks where certain "chains" of particles carry forces…

Soft Condensed Matter · Physics 2008-01-24 John F. Wambaugh

Force chains form heterogeneous physical structures that can constrain the mechanical stability and acoustic transmission of granular media. However, despite their relevance for predicting bulk properties of materials, there is no agreement…

Soft Condensed Matter · Physics 2015-04-24 Danielle S. Bassett , Eli T. Owens , Mason A. Porter , M. Lisa Manning , Karen E. Daniels

Transmission of forces in static granular materials are studied within the framework of the force network ensemble, by numerically evaluating the mechanical response of hexagonal packings of frictionless grains and rectangular packings of…

Soft Condensed Matter · Physics 2007-05-23 Srdjan Ostojic , Debabrata Panja

An ensemble approach for force distributions in static granular packings is developed. This framework is based on the separation of packing and force scales, together with an a-priori flat measure in the force phase space under the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Jacco H. Snoeijer , Thijs. J. H. Vlugt , Martin van Hecke , Wim van Saarloos

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

The consolidation of suspended particulate matter under external forces such as pressure or gravity is of widespread interest. In this work, we derive a constitutive relation to describe the deformation of a {\it two-dimensional} strongly…

Soft Condensed Matter · Physics 2014-02-26 Saikat Roy , Mahesh S Tirumkudulu

We introduce novel sets of measures with the goal of describing dynamical properties of force networks in dense particulate systems. The presented approach is based on persistent homology and allows for extracting precise, quantitative…

Data Analysis, Statistics and Probability · Physics 2015-06-19 Miroslav Kramar , Arnaud Goullet , Lou Kondic , Konstantin Mischaikow

Amorphous systems of soft particles above jamming have more contacts than are needed to achieve mechanical equilibrium. The force network of a granular system with a fixed contact network is thus underdetermined, and can be characterized as…

Soft Condensed Matter · Physics 2021-09-09 James D. Sartor , Eric I. Corwin

By means of contact dynamic simulations, we investigate the contact network topology and force chains in two-dimensional packings of elongated particles modeled by rounded-cap rectangles. The morphology of large packings of elongated…

Classical Physics · Physics 2015-05-30 Émilien Azema , Farhang Radjaï

Granular materials transmit stress via a network of force chains. Despite the importance of these chains to characterizing the stress state and dynamics of the system, there is no common framework for quantifying their their properties.…

Soft Condensed Matter · Physics 2015-08-25 Yuming Huang , Karen E. Daniels

The force networks of different granular ensembles are defined and their topological properties studied using the tools of complex networks. In particular, for each set of grains compressed in a square box, it is introduced a force…

Disordered Systems and Neural Networks · Physics 2007-09-18 Roberto Arevalo , Iker Zuriguel , Diego Maza

The evolution of effective force chains percolating through a compressed granular system is investigated. We performed experiments by compressing an ensemble of spherical particles in a cylindrical container monitoring the macroscopic…

Condensed Matter · Physics 2007-05-23 Raul Cruz Hidalgo , Christian U. Grosse , Ferenc Kun , Hans W. Reinhardt , Hans J. Herrmann

Developing quantitative methods for characterizing structural properties of force chains in densely packed granular media is an important step toward understanding or predicting large-scale physical properties of a packing. A promising…

Soft Condensed Matter · Physics 2016-10-05 Chad Giusti , Lia Papadopoulos , Eli T. Owens , Karen E. Daniels , Danielle S. Bassett

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

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
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