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We describe a new continuum approach to the modelling of stress propagation in static granular media, focussing on the conical sandpile created from a point source. We argue that the stress continuity equations should be closed by means of…

Statistical Mechanics · Physics 2015-06-25 M. E. Cates , J. P. Wittmer

Packings of macroscopic granular chains capture some of the essential aspects of molecular polymer systems and have been suggested as a paradigm to understand the physics on a molecular scale. However, here we demonstrate that the…

Soft Condensed Matter · Physics 2022-10-10 M. Reza Shaebani , Mehdi Habibi

Dense granular materials and other particle aggregates transmit stress in a manner that belies their microstructural disorder. A subset of the particle contact network is strikingly coherent, wherein contacts are aligned nearly linearly and…

Soft Condensed Matter · Physics 2020-05-20 K. P. Krishnaraj , Prabhu R Nott

In general, the mechanics of granular matter is described using continuum mechanics approach; this requires to introduce the concepts of stress and strain, which are averaged quantities, so that this needs also to introduce the notion of…

Soft Condensed Matter · Physics 2007-05-23 P. Evesque

Granular materials such as sand, powders, foams etc. are ubiquitous in our daily life, as well as in industrial and geotechnical applications. Although these disordered systems form stable structures if unperturbed, in practice they do…

Soft Condensed Matter · Physics 2018-02-28 Binquan Kou , Yixin Cao , Jindong Li , Chengjie Xia , Zhifeng Li , Haipeng Dong , Ang Zhang , Jie Zhang , Walter Kob , Yujie Wang

Classical field theories together with the Lagrangian and Eulerian approaches to continuum mechanics are embraced under a geometric setting of a fiber bundle. The base manifold can be either the body manifold of continuum mechanics, space…

Mathematical Physics · Physics 2017-05-10 Raz Kupferman , Elihu Olami , Reuven Segev

The ballistic deposition on a one dimensional substrate of grains with one degree of freedom, called spin, is studied with respect to relaxation processes during deposition. The "spin" represents the grain anisotropy, e.g. its longest axis…

Statistical Mechanics · Physics 2012-10-03 Kamil Trojan , Marcel Ausloos

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

Loops undergoing thermal fluctuations are prevalent in nature. Ring-like or cross-linked polymers, cyclic macromolecules, and protein-mediated DNA loops all belong to this category. Stability of these molecules are generally described in…

Computational Physics · Physics 2016-04-27 James T. Waters , Harold D. Kim

Several mechanisms cause a granular material to strengthen over time at low applied stress. The strength is determined from the maximum frictional force F_max experienced by a shearing plate in contact with wet or dry granular material…

Soft Condensed Matter · Physics 2009-10-31 W. Losert , J. -C. Geminard , S. Nasuno , J. P. Gollub

We present a framework for analyzing the rheology of dense driven granular materials, based on a recent proposal of a stress-based ensemble. In this ensemble fluctuations in a granular system near jamming are controlled by a…

Soft Condensed Matter · Physics 2010-06-15 Dapeng Bi , Bulbul Chakraborty

Characterizing the degeneracy of local stress states is a central challenge in obtaining the complete statistical mechanics of disordered media. Here, we introduce a minimal force-balance model for isolated granular clusters to probe the…

Soft Condensed Matter · Physics 2025-06-10 Aashish K. Gupta , Christopher Ness , Sina Haeri

The stress response of a granular assembly subject to different changes of boundary conditions is studied experimentally in order to define the stress propagation characteristics. These results demonstrate that no simple and single…

Soft Condensed Matter · Physics 2007-05-23 P. Evesque

The equations of a physical constitutive model for material stress within tantalum grains were solved numerically using a tetrahedrally meshed volume. The resulting output included a scalar vonMises stress for each of the more than 94,000…

Stress paths in granular matter often suffer sudden large-scale rearrangements when the system is slightly perturbed, i.e. granular systems are unstable. We show in this paper that the observed instability is due to the minimally rigid, or…

Soft Condensed Matter · Physics 2007-05-23 Cristian F. Moukarzel

The rheology of dense granular flows is studied numerically in a shear cell controlled at constant pressure and shear stress, confined between two granular shear flows. We show that a liquid state can be achieved even far below the yield…

Soft Condensed Matter · Physics 2018-01-08 Mehdi Bouzid , Martin Trulsson , Philippe Claudin , Eric Clément , Bruno Andreotti

Pour sand into a container and only the grains near the top surface move. The collective motion associated with the translational and rotational energy of the grains in a thin flowing layer is quickly dissipated as friction through…

We report on experimentally observed shear stress fluctuations in both granular solid and fluid states, showing that they are non-Gaussian at low shear rates, reflecting the predominance of correlated structures (force chains) in the…

Statistical Mechanics · Physics 2009-11-11 Fergal Dalton , Francis Farrelly , Alberto Petri , Luciano Pietronero , Luca Pitolli , Giorgio Pontuale

We numerically investigate the rheological properties of jammed frictionless granular materials under an oscillatory shear in terms of our simulation of the distinct element method. It is demonstrated that the constitutive relation between…

Statistical Mechanics · Physics 2013-07-19 Michio Otsuki , Hisao Hayakawa

Granular media such as sand and sugar are ubiquitous in nature and industry but are less well understood than fluids or solids. We consider the behavior of rapid granular flows where the transfer of momenta by collisions dominates. The…

Soft Condensed Matter · Physics 2009-09-29 Harry L. Swinney , E. C. Rericha