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We study a mesoscopic model for the flow of amorphous solids. The model is based on the key features identified at the microscopic level, namely peri- ods of elastic deformation interspersed with localised rearrangements of parti- cles that…

Materials Science · Physics 2017-02-08 Alexandre Nicolas , Jean-Louis Barrat

Signatures of the vulcanization transition--amorphous solidification induced by the random crosslinking of macromolecules--include the random localization of a fraction of the particles and the emergence of a nonzero static shear modulus. A…

Disordered Systems and Neural Networks · Physics 2009-10-30 Horacio E. Castillo , Paul M. Goldbart

The shear viscosity in the dilute regime of a model for confined granular matter is studied by simulations and kinetic theory. The model consists on projecting into two dimensions the motion of vibrofluidized granular matter in shallow…

Statistical Mechanics · Physics 2015-06-22 Rodrigo Soto , Dino Risso , Ricardo Brito

The structural properties of an economical model for a confined plasma turbulence governor are investigated through bifurcation and stability analyses. A close relationship is demonstrated between the underlying bifurcation framework of the…

Plasma Physics · Physics 2009-11-07 R. Ball , R. L. Dewar , H. Sugama

Shearing with a finite shear rate a compressed granular system results in a region of grains flowing over a compact, static assembly. Perforce this region is dilated to a degree that depends on the shear rate, the loading pressure, gravity,…

Statistical Mechanics · Physics 2019-05-29 Prasenjit Das , H. George E. Hentschel , Itamar Procaccia

The dynamics of a bi-dimensional dense granular packing under cyclic shear is experimentally investigated close to the jamming transition. Measurement of multi-point correlation functions are produced. The self-intermediate scattering…

Statistical Mechanics · Physics 2007-10-16 O. Dauchot , G. Marty , G. Biroli

Mechanical deformation of amorphous solids can be described as consisting of an elastic part in which the stress increases linearly with strain, up to a yield point at which the solid either fractures or starts deforming plastically. It is…

Disordered Systems and Neural Networks · Physics 2020-03-25 Baoshuang Shang , Pengfei Guan , Jean-Louis Barrat

A mesoscopic model for shear plasticity of amorphous materials in two dimensions is introduced, and studied through numerical simulations in order to elucidate the macroscopic (large scale) mechanical behavior. Plastic deformation is…

Soft Condensed Matter · Physics 2012-05-17 Mehdi Talamali , Viljo Petäjä , Damien Vandembroucq , Stéphane Roux

True biaxial tests of granular materials are investigated by applying the principle of minimal dissipation and comparing to two dimensional contact dynamics simulations. It is shown that the macroscopic steady state manifested by constant…

Statistical Mechanics · Physics 2011-04-04 Thomas Stegmann , Janos Török , Lothar Brendel , Dietrich E. Wolf

We present a non-linear elastic model of a coherent transition with discontinuous volume change in an isotropic solid. The model reproduces the anomalous thermodynamics typical of coherent equilibrium including intrinsic hysteresis (for a…

Materials Science · Physics 2011-11-09 S. Bustingorry , E. A. Jagla , J. Lorenzana

Simulations are used to study the steady shear rheology of dense suspensions of frictional particles exhibiting discontinuous shear thickening and shear jamming, in which finite-range cohesive interactions result in a yield stress. We…

Soft Condensed Matter · Physics 2019-03-13 Abhinendra Singh , Sidhant Pednekar , Jaehun Chun , Morton M. Denn , Jeffrey F. Morris

From the perspective of physical properties, the cell membrane is an exotic two-dimensional material that has a dual nature: it exhibits characteristics of fluids, i.e., lipid molecules show lateral diffusion, while also demonstrating…

Soft Condensed Matter · Physics 2024-04-19 Vikash Pandey , Dhrubaditya Mitra

Soft Glassy Materials (SGM) consist in dense amorphous assemblies of colloidal particles of multiple shapes, elasticity, and interactions, which confer upon them solid-like properties at rest. They are ubiquitously encountered in modern…

In this work we study the rheological features of yield stress materials that exhibit non-homogeneous steady flows and that are subjected to an additional mechanical noise. Using a mesoscale elasto-plastic model accounting for a viscosity…

Soft Condensed Matter · Physics 2026-01-08 Magali Le Goff , Eric Bertin , Kirsten Martens

Soft porous materials, such as biological tissues and soils, are exposed to periodic deformations in a variety of natural and industrial contexts. The detailed flow and mechanics of these deformations have not yet been systematically…

Fluid Dynamics · Physics 2023-06-30 Matilde Fiori , Satyajit Pramanik , Christopher W. MacMinn

The question of the local stability of the (replica-symmetric) amorphous solid state is addressed for a class of systems undergoing a continuous liquid to amorphous-solid phase transition driven by the effect of random constraints. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 Horacio E. Castillo , Paul M. Goldbart , Annette Zippelius

Cross-stream migration of a deformable bubble is investigated computationally in a pressure-driven channel flow of a viscoelastic fluid via interface-resolved simulations. The flow equations are solved fully coupled with the Giesekus model…

Fluid Dynamics · Physics 2025-03-07 Hafiz Usman Naseer , Daulet Izbassarov , Zaheer Ahmed , Metin Muradoglu

The equations of motion of a mechanical system subjected to nonholonomic linear constraints can be formulated in terms of a linear almost Poisson structure in a vector bundle. We study the existence of invariant measures for the system in…

Mathematical Physics · Physics 2015-02-23 Yuri N. Fedorov , Luis C. García-Naranjo , Juan C. Marrero

Granular flows during a shear-induced mixing process are studied using Discrete Element Methods. The aim is to understand the underlying elementary mechanisms of transition from unmixed to mixed phases for a granular material featuring a…

We study the stability of amorphous solids, focusing on the distribution P(x) of the local stress increase x that would lead to an instability. We argue that this distribution is singular P(x)x^{\theta}, where the exponent {\theta} is…

Soft Condensed Matter · Physics 2014-11-19 Jie Lin , Alaa Saade , Edan Lerner , Alberto Rosso , Matthieu Wyart
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