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We perform combined X-ray tomography and shear force measurements on a cyclically sheared granular system with highly transient behaviors, and obtain the evolution of microscopic structures and the macroscopic shear force during the shear…

Soft Condensed Matter · Physics 2021-02-03 Yi Xing , Jie Zheng , Jindong Li , Yixin Cao , Wei Pan , Jie Zhang , Yujie Wang

We study the geometry of forces in some simple models for granular stackings. The information contained in geometry is complementary to that in the distribution of forces in a single inter-particle contact, which is more widely studied. We…

Statistical Mechanics · Physics 2007-05-23 Srdjan Ostojic , Bernard Nienhuis

We present a minimalistic approach to simulations of force transmission through granular systems. We start from a configuration containing cohesive (tensile) contact forces and use an adaptive procedure to find the stable configuration with…

Soft Condensed Matter · Physics 2009-10-31 Alexei V. Tkachenko , Thomas A. Witten

The arrangements of particles and forces in granular materials have a complex organization on multiple spatial scales that ranges from local structures to mesoscale and system-wide ones. This multiscale organization can affect how a…

Soft Condensed Matter · Physics 2018-04-06 Lia Papadopoulos , Mason A. Porter , Karen E. Daniels , Danielle S. Bassett

By means of contact dynamic simulations, we investigate the contact network topology and force chains in two-dimensional packings of elongated particles modeled by rounded-cap rectangles. The morphology of large packings of elongated…

Classical Physics · Physics 2015-05-30 Émilien Azema , Farhang Radjaï

Seismogenic plate boundaries are presumed to behave in a similar manner to a densely packed granular medium, where fault and blocks systems rapidly rearrange the distribution of forces within themselves, as particles do in slowly sheared…

The strength of granular materials is highly dependent on grain connectivity (fabric), force transmission, and frictional mobilization at the particle scale. Furthermore, these bulk properties are strongly dependent on the geometry and…

Soft Condensed Matter · Physics 2025-06-12 Carmen Lee , Émilien Azéma , Karen Daniels

We develop a framework for stress response in two dimensional granular media, with and without friction, that respects vector force balance at the microscopic level. We introduce local gauge degrees of freedom that determine the response of…

Disordered Systems and Neural Networks · Physics 2017-10-16 Kabir Ramola , Bulbul Chakraborty

A scenario for yielding of granular matter is presented by considering the ensemble of force networks for a given contact network and applied shear stress $\tau$. As $\tau$ is increased, the probability distribution of contact forces…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jacco H. Snoeijer , Wouter G. Ellenbroek , Thijs. J. H. Vlugt , Martin van Hecke

The bulk dynamics of dense granular materials arise through a combination of particle-scale and mesoscale effects. Theoretical and numerical studies have shown that collective effects are created by particle-scale anisotropic structures…

Soft Condensed Matter · Physics 2024-09-25 Carmen L. Lee , Ephraim Bililign , Emilien Azéma , Karen E. Daniels

We numerically examine the nonlinear rubber elasticity of topologically constrained polymer networks. We propose a simple and effective model based on Graessley and Pearson's topological model (GP model) for describing the topological…

Soft Condensed Matter · Physics 2015-03-19 Naomi Hirayama , Kyoichi Tsurusaki

We perform a detailed analysis of the contact force network in a dense confined packing of pentagonal particles simulated by means of the contact dynamics method. The effect of particle shape is evidenced by comparing the data from pentagon…

Classical Physics · Physics 2007-06-28 Émilien Azema , F. RadjaÏ , R. Peyroux , G. Saussine

We investigate the application of mesoscopic response functions (MRFs) to characterize a large set of networks of fungi and slime moulds grown under a wide variety of different experimental treatments, including inter-species competition…

Quantitative Methods · Quantitative Biology 2017-03-03 Sang Hoon Lee , Mark D. Fricker , Mason A. Porter

Graphical models are a succinct way to represent the structure in probability distributions. This article analyzes the graphical model of nodal voltages in non-radial power distribution grids. Using algebraic and structural properties of…

Systems and Control · Computer Science 2020-02-28 Deepjyoti Deka , Saurav Talukdar , Michael Chertkov , Murti Salapaka

We review the main tools which allow for the statistical characterization of weighted networks. We then present two case studies, the airline connection network and the scientific collaboration network, which are representative of critical…

Statistical Mechanics · Physics 2009-11-10 Marc Barthelemy , Alain Barrat , Romualdo Pastor-Satorras , Alessandro Vespignani

In this paper, we propose a numerical investigation of topological interactions in flocking dynamics. Starting from a microscopic description of the phenomena, mesoscopic and macroscopic models have been previously derived under specific…

Analysis of PDEs · Mathematics 2025-12-30 Marta Menci , Thierry Paul , Stefano Rossi , Tommaso Tenna

In a recent paper [Phys. Rev. X 12, 031021], we reported experimental observations of ``ultrastable'' states in a shear-jammed granular system subjected to small-amplitude cyclic shear. In such states, all the particle positions and contact…

Soft Condensed Matter · Physics 2022-12-06 Yiqiu Zhao , Yuchen Zhao , Dong Wang , Hu Zheng , Bulbul Chakraborty , Joshua E. S. Socolar

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

In granular media, the presence of even small amounts of interparticle cohesion manifests as an increase in the bulk strength and stiffness, effects that are typically associated with an increase in the average number of constraints per…

Soft Condensed Matter · Physics 2026-03-10 Abrar Naseer , Karen E. Daniels , Tejas G. Murthy

Networks of elastic fibers are ubiquitous in biological systems and often provide mechanical stability to cells and tissues. Fiber reinforced materials are also common in technology. An important characteristic of such materials is their…