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Two approaches to incorporate heterogeneity in discrete models are compared. In the first, standard approach, the heterogeneity is dictated by geometrical structure of the discrete system. In the second approach, the heterogeneity is…

Computational Engineering, Finance, and Science · Computer Science 2025-06-26 Jan Raisinger , Qiwei Zhang , John E. Bolander , Jan Eliáš

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

Cohesive granular materials, like wet sand, retain their shape before yielding under stress. This solid-like behavior is associated with elasticity. As the loading increases, the material typically flows. However, cohesive materials can…

Soft Condensed Matter · Physics 2025-05-19 Marie-Julie Dalbe , Pierre Jodlowski , Nicolas Vandenberghe

We have recently developed some simple continuum models of static granular media which display "fragile" behaviour: they predict that the medium is unable to support certain types of infinitesimal load (which we call "incompatible" loads)…

Materials Science · Physics 2009-10-31 M. E. Cates , J. P. Wittmer , J. -P. Bouchaud , P. Claudin

Simulations of a stochastic fixed-energy sandpile in one and two dimensions reveal slow relaxation of the order parameter, even far from the critical point. The decay of the activity is best described by a stretched-exponential form. The…

Statistical Mechanics · Physics 2009-11-07 Ronald Dickman

Our experiments evaluate the presence of history effects on wall shear stress in turbulent boundary layers (TBLs) subjected to five sequences of favorable and adverse pressure gradients (FAPGs) of increasing strength. Steady but spatially…

Fluid Dynamics · Physics 2025-07-03 Marco Mattei , Theresa Saxton-Fox

Using Monte Carlo simulations within the empirical potential approach, we examine the effect produced by the surface environment on the atomic level stresses in tetrahedral amorphous carbon. Both the distribution of stresses and the…

Materials Science · Physics 2015-06-25 Maria Fyta , Pantelis C. Kelires

Using numerical simulations, we have studied the yielding response, in the athermal quasi static limit, of a model amorphous material having inclusions in the form of randomly pinned particles. We show that, with increasing pinning…

Soft Condensed Matter · Physics 2019-11-06 Bhanu Prasad Bhowmik , Pinaki Chaudhuri , Smarajit Karmakar

We study theoretically the complex network of forces that is responsible for the static structure and properties of granular materials. We present detailed calculations for a model in which the fluctuations in the force distribution arise…

Condensed Matter · Physics 2009-10-28 S. N. Coppersmith , C. -h. Liu , S. Majumdar , O. Narayan , T. A. Witten

The distribution of local residual stresses (threshold to instability) that controls the statistical properties of plastic flow in athermal amorphous solids is examined with an atomistic simulation technique. For quiescent configurations,…

Disordered Systems and Neural Networks · Physics 2020-07-02 Céline Ruscher , Jörg Rottler

This paper develops a Hall-Sandpile model of economic instability that combines a Hall-like transversal stress mechanism with sandpile threshold dynamics on a real production-network substrate. In analogy with the physical Hall effect,…

Econometrics · Economics 2026-05-05 Diego Vallarino

Loose granular structures stabilized against gravity by an effective cohesive force are investigated on a microscopic basis using contact dynamics. We study the influence of the granular Bond number on the density profiles and the…

Soft Condensed Matter · Physics 2011-03-11 Dirk Kadau , Hans J. Herrmann

Rotational constraint representing a local external bias generally has non-trivial effect on the critical behavior of lattice statistical models in equilibrium critical phenomena. In order to study the effect of rotational bias in a out of…

Soft Condensed Matter · Physics 2009-11-13 S. B. Santra , S. Ranjita Chanu , D. Deb

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

The effects of movement of the side walls of a confined granular packing are studied by discrete element, molecular dynamics simulations. The dynamical evolution of the stress is studied as a function of wall movement both in the direction…

Soft Condensed Matter · Physics 2009-11-10 J. W. Landry , G. S. Grest

Using a specially designed experimental set up, we have studied the so-called continuous to intermittent flow transition in sand piles confined in a Hele-Shaw cell where the deposition height of the sand can be controlled. Through…

Soft Condensed Matter · Physics 2017-06-29 L. Alonso-Llanes , L. Domínguez-Rubio , E. Martínez , E. Altshuler

Sand pile formation is often used to describe stratified chaos in dynamic systems due to self-emergent and scale invariant behaviour. Cellular automata (Bak-Tang-Wiesenfeld model) are often used to describe chaotic behaviour, as simulating…

Chaotic Dynamics · Physics 2014-03-05 Ate Poortinga , Jan G. Wesseling , Coen J. Ritsema

Sandpiles have become paradigmatic systems for granular flow studies in statistical physics. New directions of investigations are discussed here. Rather than varying the nature of the pile (sand, salt, rice,..) we have investigated changes…

Soft Condensed Matter · Physics 2007-05-23 N. Vandewalle , R. D'hulst

The transition from two-dimensional (2D) to three-dimensional (3D) granular packings is studied using large-scale discrete element computer simulations. We focus on vertical stress profiles and examine how they change with dimensionality…

Soft Condensed Matter · Physics 2007-05-23 James W. Landry , Gary S. Grest , Stephen J. Plimpton

We study experimentally the shape of a granular heap formed pouring a granular material into a vertical Hele-Shaw cell and analyze the effect of the grain impact energy. We propose a continuous model for the steady profile of the heap that…

Soft Condensed Matter · Physics 2009-09-25 Yan Grasselli , Hans J. Herrmann , Gadi Oron , Stefano Zapperi