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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

Granular materials such as sand, powders, and food grains are ubiquitous in civil engineering, geoscience, agriculture, and medicine. While the influence of friction between the grains on the static structure of these systems is well…

Soft Condensed Matter · Physics 2024-05-16 Qinghao Mao , Yujie Wang , Walter Kob

Classical particles driven through periodically modulated potential energy landscapes are predicted to follow a Devil's staircase hierarchy of commensurate trajectories depending on the orientation of the driving force. Recent experiments…

Soft Condensed Matter · Physics 2009-11-10 Ajay Gopinathan , David G. Grier

We study the steady state of driven elastic strings in disordered media below the depinning threshold. In the low-temperature limit, for a fixed sample, the steady state is dominated by a single configuration, which we determine exactly…

Disordered Systems and Neural Networks · Physics 2009-05-29 Alejandro B. Kolton , Alberto Rosso , Thierry Giamarchi , Werner Krauth

Quasi-static strain-controlled measurements of stress vs strain curves in macroscopic amorphous solids result in a nonlinear looking curve that ends up either in mechanical collapse or in a steady-state with fluctuations around a mean…

Soft Condensed Matter · Physics 2016-03-02 Awadhesh K. Dubey , Itamar Procaccia , Carmel A. B. Z. Shor , Murari Singh

Stress patterns in static granular media exhibit unusual features when compared to either liquids or elastic solids. Qualitatively, we attribute these features to the presence of `stress paths', whose geometry depends on the construction…

Condensed Matter · Physics 2007-05-23 J. -P. Bouchaud , P. Claudin , M. E. Cates , J. P. Wittmer

The response to a localized force provides a sensitive test for different models of stress transmission in granular solids. The elasto-plastic models traditionally used by engineers have been challenged by theoretical and experimental…

Soft Condensed Matter · Physics 2009-11-13 C. Goldenberg , I. Goldhirsch

We numerically investigate sound damping in a model of granular materials in two dimensions. We simulate evolution of standing waves in disordered frictionless disks and analyze their damped oscillations by velocity autocorrelation…

Soft Condensed Matter · Physics 2026-03-26 Kuniyasu Saitoh , Hideyuki Mizuno

Elastic and dissipative properties of granular assemblies under uniaxial compression are studied both experimentally and by numerical simulations. Following a novel compaction procedure at varying oscillatory pressures, the stress response…

Soft Condensed Matter · Physics 2009-11-11 Jasna Brujic , Ping Wang , Chaoming Song , David L. Johnson , Olivier Sindt , Hernan A. Makse

Much of the progress achieved in understanding plasticity and failure in amorphous solids had been achieved using experiments and simulations in which the materials were loaded using strain control. There is paucity of results under stress…

Statistical Mechanics · Physics 2015-06-19 Vladimir Dailidonis , Valery Ilyin , Pankaj Mishra , Itamar Procaccia

Strain localization in granular materials arises from complex microscale dynamics, including intermittent particle rearrangements and spatiotemporally correlated deformation. While dynamic heterogeneity (DH) and dynamic facilitation (DF)…

Soft Condensed Matter · Physics 2025-09-26 Kwangmin Lee , Brett S. Kuwik , Ryan C. Hurley

It is demonstrated, by numerical simulations of a 2D assembly of polydisperse disks, that there exists a range (plateau) of coarse graining scales for which the stress tensor field in a granular solid is nearly resolution independent,…

Statistical Mechanics · Physics 2007-05-23 C. Goldenberg , A. P. F. Atman , P. Claudin , G. Combe , I. Goldhirsch

We analyse the flow curves of a two-dimensional assembly of granular particles which are interacting via frictional contact forces. For packing fractions slightly below jamming, the fluid undergoes a large scale instability, implying a…

Soft Condensed Matter · Physics 2020-01-22 Shibu Saw , Mathias Grob , Annette Zippelius , Claus Heussinger

We study the steady-state low-temperature dynamics of an elastic line in a disordered medium below the depinning threshold. Analogously to the equilibrium dynamics, in the limit T->0, the steady state is dominated by a single configuration…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alejandro B. Kolton , Alberto Rosso , Thierry Giamarchi , Werner Krauth

We study the elasto-plastic behaviour of materials made of individual (discrete) objects, such as a liquid foam made of bubbles. The evolution of positions and mutual arrangements of individual objects is taken into account through…

Soft Condensed Matter · Physics 2015-05-18 Christophe Raufaste , Simon Cox , Philippe Marmottant , François Graner

The physical properties of granular materials have been extensively studied in recent years. So far, however, there exists no theoretical framework which can explain the observations in a unified manner beyond the phenomenological jamming…

Soft Condensed Matter · Physics 2013-05-29 S. Henkes , B. Chakraborty

Heterogeneity is classified in five categories---topologic, geometric, kinematic, static, and constitutive---and the first four categories are investigated in a numerical DEM simulation of biaxial compression. The simulation experiments…

Soft Condensed Matter · Physics 2019-01-23 Matthew R. Kuhn

The statistics and origin of the first discrete plastic event in a one dislocation dynamics simulation are studied. This is done via a linear stability analysis of the evolving dislocation configuration up to the onset of irreversible…

Materials Science · Physics 2016-09-07 P. M. Derlet , R. Maaß

We study the sample size dependence of the strength of disordered materials with a flaw, by numerical simulations of lattice models for fracture. We find a crossover between a regime controlled by the fluctuations due to disorder and…

Materials Science · Physics 2009-11-13 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

Juggling a devil-stick can be described as a problem of non-prehensile manipulation. Assuming that the devil-stick remains confined to the vertical plane, the problem of juggling the stick between two symmetric configurations is considered.…

Systems and Control · Electrical Eng. & Systems 2020-07-28 Nilay Kant , Ranjan Mukherjee