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We elaborate on a general method that we recently introduced for characterizing the "natural" structures in complex physical systems via a multiscale network based approach for the data mining of such structures. The approach is based on…

Materials Science · Physics 2015-03-18 P. Ronhovde , S. Chakrabarty , D. Hu , M. Sahu , K. F. Kelton , N. A. Mauro , K . K. Sahu , Z. Nussinov

An ensemble approach for force networks in static granular packings is developed. The framework is based on the separation of packing and force scales, together with an a-priori flat measure in the force phase space under the constraints…

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

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

Granular materials are inherently heterogeneous, leading to challenges in formulating accurate models of sound propagation. In order to quantify acoustic responses in space and time, we perform experiments in a photoelastic granular…

Materials Science · Physics 2015-05-19 Eli T. Owens , Karen E. Daniels

For packings of hard but not perfectly rigid particles, the length scales that govern the packing geometry and the contact forces are well separated. This separation of length scales is explored in the force network ensemble, where one…

Soft Condensed Matter · Physics 2010-08-03 Brian P. Tighe , Jacco H. Snoeijer , Thijs J. H. Vlugt , Martin van Hecke

We survey the application of a relatively new branch of statistical physics--"community detection"-- to data mining. In particular, we focus on the diagnosis of materials and automated image segmentation. Community detection describes the…

Materials Science · Physics 2017-11-22 Z. Nussinov , P. Ronhovde , Dandan Hu , S. Chakrabarty , M. Sahu , Bo Sun , N. A. Mauro , K. K. Sahu

Using high-resolution x-ray tomography, we experimentally investigate the bridge structures in tapped granular packings composed of particles with varying friction coefficients. We find that gravity can induce subtle structural changes on…

Soft Condensed Matter · Physics 2024-09-27 Chijin Zhou , Shuyang Zhang , Xueliang Dai , Yixin Cao , Ye Yuan , Chengjie Xia , Zhikun Zeng , Yujie Wang

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

The stability of a granular material is a collective phenomenon controlled by individual particles through their interactions. Forecasting when granular materials will undergo an abrupt failure is an ongoing challenge due to the intricate…

Soft Condensed Matter · Physics 2023-07-17 Farnaz Fazelpour , Vrinda D. Desai , Karen E. Daniels

Despite the potential the ability to identify granular materials creates for applications such as robotic cooking or earthmoving, granular material identification remains a challenging area, existing methods mostly relying on shaking the…

Robotics · Computer Science 2025-11-05 Samuli Hynninen , Tran Nguyen Le , Ville Kyrki

A theory of stress fields in two-dimensional granular materials based on directed force chain networks is presented. A general equation for the densities of force chains in different directions is proposed and a complete solution is…

Condensed Matter · Physics 2009-11-07 J. E. S. Socolar , D. G. Schaeffer , P. Claudin

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

The heterogeneous force networks in static granular media --- formed from contact forces between grains and spanning from boundary to boundary in the packing --- are distinguished from other network structures in that they must satisfy…

Soft Condensed Matter · Physics 2010-08-11 Brian P. Tighe , Thijs J. H. Vlugt

Simulated granular packings with different particle friction coefficient mu are examined. The distribution of the particle-particle and particle-wall normal and tangential contact forces P(f) are computed and compared with existing…

Statistical Mechanics · Physics 2009-11-07 Leonardo E. Silbert , Gary S. Grest , James W. Landry

In nature, granular materials fail in abrupt avalanches, earthquakes, and other hazardous events, and also creep over time. Proposed failure mechanisms for these systems are broadly framed as friction-limited. However, mechanical…

Soft Condensed Matter · Physics 2025-04-30 Benjamin Allen , Nicholas W. Hayman

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

We introduce novel sets of measures with the goal of describing dynamical properties of force networks in dense particulate systems. The presented approach is based on persistent homology and allows for extracting precise, quantitative…

Data Analysis, Statistics and Probability · Physics 2015-06-19 Miroslav Kramar , Arnaud Goullet , Lou Kondic , Konstantin Mischaikow

Based on signaling process on complex networks, a method for identification community structure is proposed. For a network with $n$ nodes, every node is assumed to be a system which can send, receive, and record signals. Each node is taken…

Physics and Society · Physics 2013-05-29 Yanqing Hu , Menghui Li , Peng Zhang , Ying Fan , Zengru Di

Many complex networks display a mesoscopic structure with groups of nodes sharing many links with the other nodes in their group and comparatively few with nodes of different groups. This feature is known as community structure and encodes…

Physics and Society · Physics 2009-07-31 Andrea Lancichinetti , Santo Fortunato

A plethora of natural and industrial shear-driven granular flows exhibit particle-size segregation. Its occurrence is commonly attributed to two primary mechanisms: kinetic sieving and squeeze expulsion. While kinetic sieving is relatively…

Soft Condensed Matter · Physics 2026-04-08 Alexander J. Navarrete , Leonardo Gordillo , Tomás Trewhela