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We investigate the spatial correlations of microscopic stresses in soft particulate gels, using 2D and 3D numerical simulations. We use a recently developed theoretical framework predicting the analytical form of stress-stress correlations…

Soft Condensed Matter · Physics 2023-03-29 H. A. Vinutha , Fabiola Diaz Ruiz , Xiaoming Mao , Bulbul Chakraborty , Emanuela Del Gado

Collective cell migration is a highly regulated process involved in wound healing, cancer metastasis and morphogenesis. Mechanical interactions among cells provide an important regulatory mechanism to coordinate such collective motion.…

Soft Condensed Matter · Physics 2022-06-08 Xingbo Yang , Dapeng Bi , Michael Czajkowski , Matthias Merkel , M. Lisa Manning , M. Cristina Marchetti

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 structure of random sphere packings in mechanical equilibrium in prescribed stress states, as studied by molecular dynamics simulations, strongly depends on the assembling procedure. Frictionless packings in the limit of low pressure…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jean-Noel Roux

Stress-strain relations for random packings of entangling chains under triaxial compression can exhibit strain stiffening and sustain stresses several orders-of-magnitude beyond typical granular materials. X-ray tomography reveals the…

Soft Condensed Matter · Physics 2025-02-12 Eric Brown , Kevin A. Mitchell , Alice Nasto , Athanasios Athanassiadis , Heinrich M. Jaeger

A general theory is developed for the evolution of the cell order (CO) distribution in planar granular systems. Dynamic equations are constructed and solved in closed form for several examples: systems under compression; dilation of very…

Soft Condensed Matter · Physics 2019-09-27 Clara C. Wanjura , Paula Gago , Takashi Matsushima , Raphael Blumenfeld

Collagen is the main structural and load-bearing element of various connective tissues, where it forms the extracellular matrix that supports cells. It has long been known that collagenous tissues exhibit a highly nonlinear stress-strain…

We investigate in detail two models describing how stresses propagate and fluctuate in granular media. The first one is a scalar model where only the vertical component of the stress tensor is considered. In the continuum limit, this model…

Condensed Matter · Physics 2009-10-30 P. Claudin , J. -P. Bouchaud , M. E. Cates , J. P. Wittmer

We investigate the Green function of two-dimensional dense random packings of grains in order to discriminate between the different theories of stress transmission in granular materials. Our computer simulations allow for a detailed…

Soft Condensed Matter · Physics 2009-11-11 N. Gland , P. Wang , Hernan A. Makse

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

Collective behaviors in cellular systems are regulated not only by biochemical signalling pathways but also by intercellular mechanical forces, whose quantification in contractile monolayers remains poorly understood. Here, by integrating…

Quantitative Methods · Quantitative Biology 2025-10-30 Yucheng Huo , Kexin Guo , Massimo Paradiso , K. Jimmy Hsia

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

This paper is devoted to the basic question of what factors determine the strain field in a quasi static granular flow. It is shown that using stress - strain rate relations is not the proper way to understand quasi static rheology. An…

Soft Condensed Matter · Physics 2010-09-21 Tamás Unger

We study model near-critical polymer gelling systems made of gluten proteins dispersions stabilized at different distances from the gel point. We impose different shear rates and follow the time evolution of the stress. For sufficiently…

Soft Condensed Matter · Physics 2024-07-18 Ameur Louhichi , Marie-Hélène Morel , Laurence Ramos , Amélie Banc

We identify the fundamental factors determining the microstructural (MS) statistics of granular systems, using numerical experiments on 2D assemblies of polydisperse frictional discs and studying the emergent properties of quadrons (Qs),…

Soft Condensed Matter · Physics 2017-02-14 Takashi Matsushima , Raphael Blumenfeld

Recent experimental results on the static or quasistatic response of granular materials have been interpreted to suggest the inapplicability of the traditional engineering approaches, which are based on elasto-plastic models (which are…

Soft Condensed Matter · Physics 2007-05-23 Chay Goldenberg , Isaac Goldhirsch

We study numerical simulations of large (N~10^4) two-dimensional quasi-static granular assemblies subjected to a slowly increasing deviator stress. We report some peculiarities in the behavior of these packings that have not yet been…

Other Condensed Matter · Physics 2010-05-19 Philipp Welker , Sean McNamara

We investigate how structural ordering, i.e. crystallization, affects the flow of bidisperse granular materials in a quasi-two-dimensional silo. By systematically varying the mass fraction of two particle sizes, we finely tune the degree of…

Soft Condensed Matter · Physics 2026-05-01 David Luce , Adrien Gans , Sébastien Kiesgen de Richter , Nicolas Vandewalle

Paradigmatic model systems, which are used to study the mechanical response of matter, are random networks of point-atoms, random sphere packings, or simple crystal lattices, all of these models assume central-force interactions between…

Soft Condensed Matter · Physics 2016-01-14 M. Schlegel , J. Brujic , E. M. Terentjev , A. Zaccone

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