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We develop the theory of the coupling between in-plane order and out-of-plane geometry in twisted, two-dimensionally ordered filament bundles based on the non-linear continuum elasticity theory of columnar materials. We show that twisted…

Soft Condensed Matter · Physics 2015-06-03 Gregory M. Grason

Future communication networks are expected to feature autonomic (or self-organizing) mechanisms to ease deployment (self-configuration), tune parameters automatically (self-optimization) and repair the network (self-healing).…

Networking and Internet Architecture · Computer Science 2012-09-07 Richard Combes , Zwi Altman , Eitan Altman

In this study, we present the first simulation results of the formation of dislocation cell wall microstructures in tantalum subjected to shock loading. Dislocation patterns and cell wall formation are important to understanding the…

Materials Science · Physics 2023-05-04 Jaehyun Cho , Luke L. Hsiung , Robert E. Rudd , Sylvie Aubry

Quasi-static strain-controlled measurements of stress vs strain curves in macroscopic amorphous solids result in a nonlinear looking curve that ends up either in mechanical collapse or in a steady-state with fluctuations around a mean…

Soft Condensed Matter · Physics 2016-03-02 Awadhesh K. Dubey , Itamar Procaccia , Carmel A. B. Z. Shor , Murari Singh

A comparison is made between the nonlinear rheological response of bulk metallic glass formers and of colloidal dispersions. Stress-strain curves measured after switch-on of constant deformation rates are analyzed quantitatively using a…

Micron-scale single crystalline materials deform plastically via large intermittent strain bursts that make the deformation process unpredictable. Here we investigate this stochastic phenomenon by analysing the plastic response of an…

States of self-stress, tensions and compressions of structural elements that result in zero net forces, play an important role in determining the load-bearing ability of structures ranging from bridges to metamaterials with tunable…

Soft Condensed Matter · Physics 2015-08-06 Jayson Paulose , Anne S. Meeussen , Vincenzo Vitelli

We investigate the self-organization of point-particles with short-range interactions modeled via simple 1D and 2D Hubbard-like models. We show how various properties emerge such as, boson-like ordering leading to topological structures in…

Strongly Correlated Electrons · Physics 2020-09-08 Ioannis Kleftogiannis , Ilias Amanatidis

The coupled mechanics of fluid-filled granular media controls the behavior of many natural systems such as saturated soils, fault gouge, and landslides. The grain motion and the fluid pressure influence each other: It is well established…

Geophysics · Physics 2013-10-21 Einat Aharonov , Liran Goren , David Sparks , Renaud Toussaint

We study stress relaxation in several types of entangled monodisperse linear polymer melts by comparing the shear stress relaxation modulus, $G(t)$, with the end-to-end vector autocorrelation function, $P(t)$. The study includes three…

Soft Condensed Matter · Physics 2026-02-26 Alireza F. Behbahani

We study a scalar lattice model for inter-grain forces in static, non-cohesive, granular materials, obtaining two primary results. (i) The applied stress as a function of overall strain shows a power law dependence with a nontrivial…

Soft Condensed Matter · Physics 2009-10-31 Matthew G. Sexton , Joshua E. S. Socolar , David G. Schaeffer

Disordered systems like liquids, gels, glasses, or granular materials are not only ubiquitous in daily life and in industrial applications but they are also crucial for the mechanical stability of cells or the transport of chemical and…

Disordered Systems and Neural Networks · Physics 2019-04-30 Zhen Zhang , Walter Kob

We present a theoretical method for deriving the stress tensor and elastic response of ordered systems within a Ginzburg-Landau type density field theory in the linear regime. This is based on spatially coarse graining the microscopic…

Materials Science · Physics 2021-07-07 Vidar Skogvoll , Audun Skaugen , Luiza Angheluta

We report numerical results of effective attractive forces on the packing properties of two-dimensional elongated grains. In deposits of non-cohesive rods in 2D, the topology of the packing is mainly dominated by the formation of ordered…

Soft Condensed Matter · Physics 2011-07-18 R. C. Hidalgo , D. Kadau , T. Kanzaki , H. J. Herrmann

Using a popular vertex-based model to describe a spatially disordered planar epithelial monolayer, we examine the relationship between cell shape and mechanical stress at the cell and tissue level. Deriving expressions for stress tensors…

Cell Behavior · Quantitative Biology 2017-08-14 Alexander Nestor-Bergmann , Georgina Goddard , Sarah Woolner , Oliver Jensen

The transmission of stress through a marginally stable granular pile in two dimensions is exactly formulated in terms of a vector field of loop forces, and thence in terms of a single scalar potential. The loop force formulation leads to a…

Disordered Systems and Neural Networks · Physics 2007-05-23 RC Ball , R Blumenfeld

In recent years, the behavior of dislocations in random solid solutions has received renewed interest, and several models have been discussed where random alloys are treated as effective media containing random distributions of dilatation…

Materials Science · Physics 2025-03-20 Ronghai Wu , Michael Zaiser

We report direct measurements of spatially resolved stress at the boundary of a shear thickening cornstarch suspension revealing persistent regions of high local stress propagating in the flow direction at the speed of the top boundary. The…

Soft Condensed Matter · Physics 2022-09-14 Vikram Rathee , Joia M. Miller , Daniel L. Blair , Jeffrey S. Urbach

Modelling the dynamics of dense granular media is a long standing challenge and essential to many natural phenomena and technological applications. Here, we trace back puzzling experimental observation of detailed-balanced steady states to…

Soft Condensed Matter · Physics 2024-10-29 Clara C. Wanjura , Amelie Mayländer , Othmar Marti , Raphael Blumenfeld

We study, using both theory and simulations, a system of self-gravitating sheets. A new statistical mechanics theory - free of any adjustable parameters - is derived to quantitatively predict the final stationary state achieved by this…

Astrophysics of Galaxies · Physics 2013-05-14 Tarcísio Nunes Teles , Yan Levin , Renato Pakter