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We study the strain response to steady imposed stress in a spatially homogeneous, scalar model for shear thickening, in which the local rate of yielding \Gamma(l) of mesoscopic `elastic elements' is not monotonic in the local strain l.…

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

Soft polymers are ubiquitous materials in nature and as engineering materials with properties varying from rate-independent to rate-dependent. Current fracture toughness measures are non-unique for rate-dependent soft materials for varying…

Soft Condensed Matter · Physics 2026-03-17 Aditya Konale , Vikas Srivastava

We study the emergence of critical dynamics in the steady shear rheology of fluidized soft glassy materials. Within a mesoscale elasto-plastic model accounting for a shear band instability, we show how an additional noise can induce a…

Soft Condensed Matter · Physics 2019-09-11 Magali Le Goff , Eric Bertin , Kirsten Martens

We study the linear response to strain in a mean field elastoplastic model for athermal amorphous solids, incorporating the power-law mechanical noise spectrum arising from plastic events. In the "jammed" regime of the model, where the…

Soft Condensed Matter · Physics 2022-05-06 Jack T. Parley , Rituparno Mandal , Peter Sollich

Many soft jammed materials, such as pastes, gels, concentrated emulsions, and suspensions, possess a threshold stress, known as yield stress, that must be exceeded to cause permanent deformation or flow. In rheology, the term plastic flow…

Soft Condensed Matter · Physics 2025-11-03 Yogesh M. Joshi , Alexander Ya. Malkin

For monodomain nematic elastomers, we construct generalised elastic-nematic constitutive models combining purely elastic and neoclassical-type strain-energy densities. Inspired by recent developments in stochastic elasticity, we extend…

Soft Condensed Matter · Physics 2020-03-17 L. Angela Mihai , Alain Goriely

We study the steady plane shear flow of a dense assembly of frictional, inelastic disks using discrete simulation and prescribing the pressure and the shear rate. We show that, in the limit of rigid grains, the shear state is determined by…

Soft Condensed Matter · Physics 2009-11-11 Frederic da Cruz , Sacha Emam , Michael Prochnow , Jean-Noel Roux , Francois Chevoir

Upon mechanical loading, granular materials yield and undergo plastic deformation. The nature of plastic deformation is essential for the development of the macroscopic constitutive models and the understanding of shear band formation.…

This study addresses the modelling of elastic bodies, particularly when the relaxed configuration is unknown or non-existent. We adopt the theory of initially stressed materials, incorporating the deformation gradient and stress state of…

Soft Condensed Matter · Physics 2024-11-28 M. Magri , D. Riccobelli

Shear localization occurs in various instances of material instability in solid mechanics and is typically associated with Hadamard-instability for an underlying model. While Hadamard instability indicates the catastrophic growth of…

Analysis of PDEs · Mathematics 2017-03-09 Theodoros Katsaounis , Julien Olivier , Athanasios E. Tzavaras

We have studied shear deformation of binary Lennard-Jones glasses to investigate the extent to which the transient part of the stress strain curves is invariant when the thermodynamic state point is varied along an isomorph. Shear…

Soft Condensed Matter · Physics 2025-05-02 Yonglun Jiang , Eric R. Weeks , Nicholas P. Bailey

Disordered materials under an imposed forcing can display creep and aging effects, accompanied by intermittent, spatially heterogeneous dynamics. We propose a unifying microscopic description of these phenomena, based on the notion that as…

Disordered Systems and Neural Networks · Physics 2024-09-27 Daniel J. Korchinski , Dor Shohat , Yoav Lahini , Matthieu Wyart

We measure the local yield stress, at the scale of small atomic regions, in a deeply quenched two-dimensional glass model undergoing shear banding in response to athermal quasistatic (AQS) deformation. We find that the occurrence of…

Materials Science · Physics 2020-03-17 Armand Barbot , Matthias Lerbinger , Anaël Lemaître , Damien Vandembroucq , Sylvain Patinet

The mechanical response of packings of purely repulsive, spherical particles to athermal, quasistatic simple shear near jamming onset is highly nonlinear. Previous studies have shown that, at small pressure $p$, the ensemble-averaged static…

Soft Condensed Matter · Physics 2020-01-29 Kyle VanderWerf , Arman Boromand , Mark D. Shattuck , Corey S. O'Hern

We experimentally investigate the rheology and stress fluctuations of granules densely suspended in silicone oil. We find that both thickening strength and stress fluctuations significantly weaken with oil viscosity $\eta_0$. Comparison of…

Soft Condensed Matter · Physics 2020-04-22 Qin Xu , Abhinendra Singh , Heinrich M. Jaeger

Amorphous solids display a ductile to brittle transition as the kinetic stability of the quiescent glass is increased, which leads to a material failure controlled by the sudden emergence of a macroscopic shear band in quasi-static…

Statistical Mechanics · Physics 2020-02-25 Murari Singh , Misaki Ozawa , Ludovic Berthier

We analyze plane strain cold rolling processes, at large strains but slow strain rates, by finite element modeling. At low temperatures, slow strain rates, and moderate thickness reductions during rolling (at which Bauschinger effect can be…

Soft Condensed Matter · Physics 2022-06-30 Nikhil Padhye

Naturally-occurring granular materials often consist of angular particles whose shape and frictional characteristics may have important implications on macroscopic flow rheology. In this paper, we provide a theoretical account for the…

Statistical Mechanics · Physics 2015-06-02 Charles K. C. Lieou , Ahmed E. Elbanna , J. S. Langer , J. M. Carlson

Molecular dynamics simulations are performed to investigate heterogeneous dynamics in amorphous glassy materials under oscillatory shear strain. We consider three-dimensional binary Lennard-Jones mixture well below the glass transition…

Soft Condensed Matter · Physics 2013-05-10 Nikolai V. Priezjev

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
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