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The paper develops the stiffness relationship between the movements and forces among a system of discrete interacting grains. The approach is similar to that used in structural analysis, but the stiffness matrix of granular material is…

软凝聚态物质 · 物理学 2019-05-01 Matthew R. Kuhn , Florent Prunier , Ali Daouadji

Matrix stiffness expressions are derived for the particle movements in an assembly of rigid granules having compliant contacts. The derivations include stiffness terms that arise from the particle shapes at their contacts. These geometric…

软凝聚态物质 · 物理学 2019-01-23 Matthew R. Kuhn , Ching S. Chang

The paper addresses the underlying source of two forms of induced anisotropy in granular materials: contact orientation anisotropy and contact force anisotropy. A rational, mathematical structure is reviewed for the manner in which fabric…

软凝聚态物质 · 物理学 2019-01-23 Matthew R. Kuhn

The loading of a granular material induces anisotropies of the particle arrangement (fabric) and of the material's strength, incremental stiffness, and permeability. Thirteen measures of fabric anisotropy are developed, which are arranged…

软凝聚态物质 · 物理学 2018-12-21 Matthew R. Kuhn , WaiChing Sun , Qi Wang

The bulk behaviour of granular materials is tied to its mesoscale and particle-scale features: strength properties arise from the buildup of various anisotropic structures at the particle-scale induced by grain connectivity (fabric), force…

软凝聚态物质 · 物理学 2024-09-25 Carmen L. Lee , Ephraim Bililign , Emilien Azéma , Karen E. Daniels

Predicting the alignment of non-spherical particles in dense granular flows under shear remains a central challenge in soft matter physics. We demonstrate that the first-order behavior of granular fabric,the anisotropic distribution of…

软凝聚态物质 · 物理学 2026-05-28 Christopher Harper , Eric C. P. Breard , George W. Bergantz , PJ Zrelak

We present a multiscale simulation algorithm for amorphous materials, which we illustrate and validate in a canonical case of dense granular flow. Our algorithm is based on the recently proposed Spot Model, where particles in a dense random…

软凝聚态物质 · 物理学 2009-11-11 Chris H. Rycroft , Martin Z. Bazant , Gary S. Grest , James W. Landry

We study the compaction and mobility properties of a dense granular material under weak random vibration. By putting in direct contact millimetric glass beads with piezoelectric transducers we manage to inject energy to the system in a…

软凝聚态物质 · 物理学 2007-05-23 G. Caballero , J. Lanuza , E. Clement

Amorphous packings of frictionless, spherical particles are isostatic at jamming onset, with the number of constraints (contacts) equal to the number of degrees of freedom. Their structural and mechanical properties are controlled by the…

软凝聚态物质 · 物理学 2013-05-14 Stefanos Papanikolaou , Corey S. O'Hern , Mark D. Shattuck

In both nature and engineering, loosely packed granular materials are often compacted inside confined geometries. Here, we explore such behaviour in a quasi-two dimensional geometry, where parallel rigid walls provide the confinement. We…

软凝聚态物质 · 物理学 2015-05-29 Benjy Marks , Bjørnar Sandnes , Guillaume Dumazer , Jon Alm Eriksen , Knut Jørgen Måløy

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…

统计力学 · 物理学 2007-05-23 Marc Lätzel , Stefan Luding , Hans J. Herrmann

A discrete-to-continuum analysis for free-boundary problems related to crystalline films deposited on substrates is performed by $\Gamma$-convergence. The discrete model here introduced is characterized by an energy with two contributions,…

偏微分方程分析 · 数学 2019-02-19 Leonard Kreutz , Paolo Piovano

Some remarkable generic properties, related to isostaticity and potential energy minimization, of equilibrium configurations of assemblies of rigid, frictionless grains are studied. Isostaticity -the uniqueness of the forces, once the list…

软凝聚态物质 · 物理学 2009-10-31 Jean-Noel Roux

I present a three-dimensional Discrete Element Method study of self-gravitation and contact mechanics in cold granular assemblies. The model couples direct Newtonian attraction between every particle pair with a linear visco-elastic normal…

软凝聚态物质 · 物理学 2025-12-08 Yohann Trivino

The high-pressure compaction of three dimensional granular packings is simulated using a bonded particle model (BPM) to capture linear elastic deformation. In the model, grains are represented by a collection of point particles connected by…

软凝聚态物质 · 物理学 2023-10-19 Joel T. Clemmer , Joseph M. Monti , Jeremy B. Lechman

Granular matter is comprised of a large number of particles whose collective behavior determines macroscopic properties such as flow and mechanical strength. A comprehensive theory of the properties of granular matter, therefore, requires a…

统计力学 · 物理学 2009-11-13 Silke Henkes , Corey S. O'Hern , Bulbul Chakraborty

With a novel 3D discrete-element method specially developed with adhesive contact mechanics, random loose packings of uniform spherical micron-sized particles are fully investigated. The results show that large velocity, large size or weak…

软凝聚态物质 · 物理学 2016-09-12 Wenwei Liu , Shuiqing Li , Sheng Chen

In this letter, we report on an experimental study which analyzes the compressive behavior of 2D bidisperse granular assemblies made of soft (hyperelastic) and hard grains in varying proportions ($\kappa$). By means of a recently developed…

软凝聚态物质 · 物理学 2022-08-17 Manuel Cárdenas-Barrantes , Jonathan Barés , Mathieu Renouf , Émilien Azéma

The mechanics of cohesive or cemented granular materials is complex, combining the heterogeneous responses of granular media, like force chains, with clearly defined material properties. Here, we use a discrete element model (DEM)…

软凝聚态物质 · 物理学 2020-11-17 Yuta Yamaguchi , Soumyajyoti Biswas , Takahiro Hatano , Lucas Goehring

Confinement can substantially alter the physicochemical properties of materials by breaking translational isotropy and rendering all physical properties position-dependent. Molecular dynamics (MD) simulations have proven instrumental in…

统计力学 · 物理学 2024-02-06 Tiago Domingues , Ronald Coifman , Amir Haji-Akbari
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