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We study the Couette flow of a quasi-2d soft-glassy material in a Hele-Shaw geometry. The material is chosen to be above the jamming point, where a yield stress $\sigma_Y$ emerges, below which the material deforms elastically and above…

Soft Condensed Matter · Physics 2014-10-15 Andrea Scagliarini , Benjamin Dollet , Mauro Sbragaglia

We build a minimal, mean-field, model of plasticity of amorphous solids, based upon a phenomenology of dissipative events derived, in a preceding paper [A. Lemaitre, C. Caroli, arXiv:0705.0823] from extensive molecular simulations. It…

Disordered Systems and Neural Networks · Physics 2016-08-14 Anaël Lemaître , Christiane Caroli

We present a detailed comparison of the rheological behaviour of sheared sediment beds in a pressure-driven, straight channel configuration based on data that was generated by means of fully coupled, grain-resolved direct numerical…

Fluid Dynamics · Physics 2021-07-21 B. Vowinckel , E. Biegert , E. Meiburg , P. Aussillous , É. Guazzelli

In this paper, we study the existence of weak solutions to a steady system that describes the motion of a micropolar electrorheological fluid. The constitutive relations for the stress tensors belong to the class of generalized Newtonian…

Analysis of PDEs · Mathematics 2021-12-16 Alex Kaltenbach , Michael Růžička

We study the two-dimensional (2D) shear flow of amorphous solids within variants of an elastoplastic model, paying particular attention to spatial correlations and time fluctuations of, e.g., local stresses. The model is based on the local…

Soft Condensed Matter · Physics 2014-03-27 Alexandre Nicolas , Kirsten Martens , Lydéric Bocquet , Jean-Louis Barrat

We investigate shear thickening and jamming within the framework of a family of spatially homogeneous, scalar rheological models. These are based on the `soft glassy rheology' model of Sollich et al. [Phys. Rev. Lett. 78, 2020 (1997)], but…

Soft Condensed Matter · Physics 2016-08-31 D. A. Head , A. Ajdari , M. E. Cates

The mechanical non-linear response of dense Brownian suspensions of polymer gel particles is studied experimentally and by means of numerical simulations. It is shown that the response to the application of a constant shear rate depends on…

Soft Condensed Matter · Physics 2022-10-05 Dmytro Kushnir , Céline Ruscher , Eckhard Bartsch , Fabrice Thalmann , Pascal Hébraud

The origin of stretched exponential relaxation in supercooled glass-forming liquids is one of the central questions regarding the anomalous dynamics of these fluids. The dominant explanation for this phenomenon has long been the proposition…

Soft Condensed Matter · Physics 2021-02-03 Daniel Diaz Vela , David S. Simmons

The response of amorphous materials to an applied strain can be continuous, or instead display a macroscopic stress drop when a shear band nucleates. Such discontinuous response can be observed if the initial configuration is very stable.…

Soft Condensed Matter · Physics 2018-10-17 Marko Popović , Tom W. J. de Geus , Matthieu Wyart

Wrinkling is the phenomenon of out-of-plane deformation patterns in thin walled structures, as a result of a local compressive (internal) loads in combination with a large membrane stiffness and a small but non-zero bending stiffness.…

Numerical Analysis · Mathematics 2025-03-20 H. M. Verhelst , M. Möller , J. H. Den Besten

We introduce a one-dimensional, hyperbolic model for non-Newtonian fluids with finite relaxation time, derived within the framework of Rational Extended Thermodynamics (RET). Unlike classical parabolic models, our formulation preserves…

Mathematical Physics · Physics 2025-08-08 Tommaso Ruggeri

Shearing stresses can change the volume of a material via a nonlinear effect known as shear dilatancy. We calculate the elastic dilatancy coefficient of soft sphere packings and random spring networks, two canonical models of marginal…

Soft Condensed Matter · Physics 2016-07-06 Brian P. Tighe

We use numerical simulations to study the flow of a bidisperse mixture of athermal, frictionless, soft-core two dimensional spherocylinders driven in uniform steady state shear. Energy dissipation is via a viscous drag with respect to a…

Soft Condensed Matter · Physics 2019-10-07 Theodore A. Marschall , S. Teitel

During embryonic morphogenesis, tissues undergo dramatic deformations in order to form functional organs. Similarly, in adult animals, living cells and tissues are continually subjected to forces and deformations. Therefore, the success of…

Soft Condensed Matter · Physics 2024-05-06 Michael J. Hertaeg , Suzanne M. Fielding , Dapeng Bi

We explore the rheology predicted by a recently proposed constitutive model for jammed suspensions of soft elastic particles derived from particle-level dynamics [Cuny et al., Phys. Rev. Lett. 127, 218003 (2021)]. Our model predicts that…

Soft Condensed Matter · Physics 2022-01-06 Nicolas Cuny , Éric Bertin , Romain Mari

The importance of mesoscale fluctuations in flowing amorphous materials is widely accepted, without a clear understanding of their role. We propose a mean-field elastoplastic model that admits both stress and strain-rate fluctuations, and…

Soft Condensed Matter · Physics 2022-05-09 Timothy Ekeh , Étienne Fodor , Suzanne M. Fielding , Michael E. Cates

Discrete particle simulations are used to study the shear rheology of dense, stabilized, frictional particulate suspensions in a viscous liquid, toward development of a constitutive model for steady shear flows at arbitrary stress. These…

Soft Condensed Matter · Physics 2018-02-14 Abhinendra Singh , Romain Mari , Morton M. Denn , Jeffrey F. Morris

A finite simple shear deformation of an elastic solid induces unequal normal stresses. This nonlinear phenomenon, known as the Poynting effect, is governed by a universal relation between shear strain and first normal stresses difference,…

Soft Condensed Matter · Physics 2009-11-11 Vincent Labiausse , Reinhard Hohler , Sylvie Cohen-Addad

Rheological properties, especially 'shear-thinning', of dense colloidal dispersions are discussed on three different levels. A generalized phenomonological Maxwell model gives a broad framework connecting glassy dynamics to the linear and…

Soft Condensed Matter · Physics 2007-05-23 Matthias Fuchs , Matthias Ballauff

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