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Theoretical treatments of frictional granular matter often assume that it is legitimate to invoke classical elastic theory to describe its coarse-grained mechanical properties. Here we show, based on experiments and numerical simulations,…

Soft Condensed Matter · Physics 2021-02-24 Anaël Lemaître , Chandana Mondal , Itamar Procaccia , Saikat Roy , Yinqiao Wang , Jie Zhang

Materials exhibit geometric structures across mesoscopic to microscopic scales, influencing macroscale properties such as appearance, mechanical strength, and thermal behavior. Capturing and modeling these multiscale structures is…

Graphics · Computer Science 2025-04-15 Bojja Venu , Adam Bosak , Juan Raul Padron-Griffe

In the study presented in this paper, we analyzed the mechanical response of a glass fiber plain weave/polymer composite at the fabric millimetric mesoscale. The detail of the stress and strain fields in a fabric repeating unit cell was…

Materials Science · Physics 2016-05-03 Zakariya Boufaida , Julien Boisse , Stéphane André , Laurent Farge

Grain microstructures are crucial to the mechanical properties, performance, and often lifetime of metallic components. Hence, the prediction of grain microstructures emerging from solidification processes at relevant macroscopic scale is…

Materials Science · Physics 2025-04-18 Salem Mosbah , Rodrigo Gómez Vázquez , Constantin Zenz , Damien Tourret , Andreas Otto

We experimentally study the statistics of force-chain evolution in a vertically-tapped two-dimensional granular packing by using photoelastic disks. In this experiment, the tapped granular packing is gradually compacted. During the…

Soft Condensed Matter · Physics 2018-04-04 Naoki Iikawa , M. M. Bandi , Hiroaki Katsuragi

Jammed packings' mechanical properties depend sensitively on their detailed local structure. Here we provide a complete characterization of the pair correlation close to contact and of the force distribution of jammed frictionless spheres.…

Statistical Mechanics · Physics 2012-11-15 Patrick Charbonneau , Eric I. Corwin , Giorgio Parisi , Francesco Zamponi

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

We introduce a deductive statistical mechanics approach for granular materials which is formally built from few realistic physical assumptions. The main finding is an universal behavior for the distribution of the density fluctuations. Such…

Soft Condensed Matter · Physics 2008-06-25 T. Aste , T. Di Matteo

The dynamics of a bi-dimensional dense granular packing under cyclic shear is experimentally investigated close to the jamming transition. Measurement of multi-point correlation functions are produced. The self-intermediate scattering…

Statistical Mechanics · Physics 2007-10-16 O. Dauchot , G. Marty , G. Biroli

Modelling of single cellulose fibres is usually performed by assuming homogenous properties, such as strength and Young s modulus, for the whole fibre. Additionally, the inhomogeneity in size and swelling behaviour along the fibre is often…

Nanoporous materials are characterized by their complex porous morphology illustrated by the presence of a solid network and voids. The fraction of these voids is characterized by the porosity of the structure, which influences the bulk…

Materials Science · Physics 2024-10-08 Rajesh Chandrasekaran , Mikhail Itskov , Ameya Rege

Granular jamming is a popular soft actuation mechanism that provides high stiffness variability with minimum volume variation. Jamming is particularly interesting from a design perspective, as a myriad of design parameters can potentially…

Robotics · Computer Science 2021-04-12 David Howard , Jack O'Connor , James Brett , Gary W. Delaney

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

This work develops a unified framework for inferring, representing, and statistically characterizing an anisotropic strength surface directly from molecular dynamics data. Large-scale tensile loading simulations are used to generate failure…

Materials Science · Physics 2026-02-19 Alexander Bonacci , John Dolbow , Johann Guilleminot

In this work we employ data-driven homogenization approaches to predict the particular mechanical evolution of polycrystalline aggregates with tens of individual crystals. In these oligocrystals the differences in stress response due to…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Ari L. Frankel , Reese E. Jones , Coleman Alleman , Jeremy A. Templeton

We discuss the statistical mechanics of granular matter and derive several significant results. First, we show that, contrary to common belief, the volume and stress ensembles are inter-dependent, necessitating the use of both. We use the…

Soft Condensed Matter · Physics 2015-06-04 Raphael Blumenfeld , Joe F. Jordan , Sam F. Edwards

A microstructural theory of dense granular materials is presented, based on two main ideas. Firstly, that macroscopic shear results form activated local rearrangements at a mesoscopic scale. Secondly, that the update frequency of…

Disordered Systems and Neural Networks · Physics 2009-11-07 Anael Lemaitre

Granular media near jamming exhibit fascinating properties, which can be harnessed to create jammed-granulate metamaterials: materials whose characteristics arise not only from the shape and material properties of the particles at the…

Applied Physics · Physics 2025-04-09 Holger Götz , Thorsten Pöschel , Olfa D'Angelo

We investigate the shear of a dense bed of refracting supermillimetric grains confined within a transparent horizontal annular cell with a rotating top. The local time correlation functions of interferometric images allow to characterize…

Soft Condensed Matter · Physics 2024-01-19 Alessio Quaresima , Andrea Plati , Andrea Gnoli , Alberto Petri

The incremental stress-strain relation of dense packings of polygons is investigated here by using molecular dynamics simulations. The comparison of the simulation results to the continuous theories is performed using explicit expressions…

Materials Science · Physics 2016-08-16 F. Alonso-Marroquín , H. J. Herrmann
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