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Features of rheological laws applied to solid-like granular materials are recalled and confronted to microscopic approaches via discrete numerical simulations. We give examples of model systems with very similar equilibrium stress transport…

Materials Science · Physics 2009-11-13 Jean-Noël Roux , Gaël Combe

A three-dimensional mesoscopic viscoplasticity model for simulating rate-dependent plasticity and creep in unidirectional thermoplastic composites is presented. The constitutive model is a transversely isotropic extension of an isotropic…

Computational Engineering, Finance, and Science · Computer Science 2025-10-01 P. Hofman , D. Kovačević , F. P. van der Meer , L. J. Sluys

In the vicinity of their glass transition, dense colloidal suspensions acquire elastic properties over experimental timescales. We investigate the possibility of a visco-elastic flow instability in curved geometry for such materials. To…

Soft Condensed Matter · Physics 2015-08-21 Alexandre Nicolas , Matthias Fuchs

A experimental study of low Reynolds numbers unsteady pipe flows of a yield stress shear thinning fluid (Carbopol- 980) is presented. The investigation of the solid-fluid transition in a rheometric flow in the presence and in the ab- sence…

Fluid Dynamics · Physics 2013-01-23 Antoine Poumaere , Miguel Moyers-Gonzalez , Cathy Castelain , Teodor Burghelea

Hydrodynamic equations for an inelastic Maxwell model are derived from the inelastic Boltzmann equation based on a systematic Chapman-Enskog perturbative scheme. Transport coefficients appear in Navier-Stokes order have been determined as a…

Statistical Mechanics · Physics 2016-08-31 Hisao Hayakawa

This work focuses on the thermodynamics of pseudo-elastic models which represent the Mullins effect. Two established models are analyzed theoretically, their thermomechanical properties are derived, and certain critical points are…

Materials Science · Physics 2014-08-05 Christoph Naumann , Jörn Ihlemann

Recently, a non-linear model of viscoelasticity based on Rational Extended Thermodynamics was proposed in [arXiv:2312.05116]. This theory extends the evolution of the viscous stress beyond the linear framework of the Maxwell model to the…

Mathematical Physics · Physics 2024-02-08 Andrea Giusti , Andrea Mentrelli , Tommaso Ruggeri

For the system of Maxwell equations of electromagnetism in an $l$-periodic composite medium of overall size $L$ ($0<l<L<\infty$), in the low-frequency quasistatic approximation, we develop an electromagnetic version of strain-gradient…

Mathematical Physics · Physics 2015-11-19 Kirill D. Cherednichenko , James A. Evans

We present a phenomenological time-dependent Ginzburg-Landau theory of nonlinear plastic deformations in solids. Because the problem is very complex, we first give models in one and two dimensions without vacancies and interstitials, where…

Soft Condensed Matter · Physics 2009-11-07 Akira Onuki

We study the shearing rheology of dense suspensions of elastic capsules, taking aggregation-free red blood cells as a physiologically relevant example. Particles are non-Brownian and interact only via hydrodynamics and short-range repulsive…

Soft Condensed Matter · Physics 2014-05-08 Markus Gross , Timm Krueger , Fathollah Varnik

Networks and dense suspensions frequently reside near a boundary between soft (or fluid-like) and rigid (or solid-like) regimes. Transitions between these regimes can be driven by changes in structure, density, or applied stress or strain.…

Soft Condensed Matter · Physics 2023-11-10 Jordan L. Shivers , Abhinav Sharma , Fred C. MacKintosh

We derive a large-strain plate model that allows to describe transient, coupled processes involving elasticity and solvent migration, by performing a dimensional reduction of a three-dimensional poroelastic theory. We apply the model to…

Soft Condensed Matter · Physics 2016-07-12 Alessandro Lucantonio , Giuseppe Tomassetti , Antonio DeSimone

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…

We determine the linear viscoelastic response of jammed packings of athermal repulsive viscous spheres, a model for emulsions, wet foams, and soft colloidal suspensions. We numerically measure the complex shear modulus, a fundamental…

Soft Condensed Matter · Physics 2012-05-15 Brian P. Tighe

We present a simple model to account for the rheological behavior observed in recent experiments on micellar gels. The model combines attachment-detachment kinetics with stretching due to shear, and shows well-defined jammed and flowing…

Statistical Mechanics · Physics 2013-02-19 Saroj Kumar Nandi , Bulbul Chakraborty , A. K. Sood , Sriram Ramaswamy

Recently, a new nonlocal granular rheology was successfully used to predict steady granular flows, including grain-size-dependent shear features, in a wide variety of flow configurations, including all variations of the split-bottom cell. A…

Soft Condensed Matter · Physics 2015-06-22 David Henann , Ken Kamrin

We formulate a quasistatic nonlinear model for nonsimple viscoelastic materials at a finite-strain setting in the Kelvin's-Voigt's rheology where the viscosity stress tensor complies with the principle of time-continuous frame-indifference.…

Analysis of PDEs · Mathematics 2018-06-13 Manuel Friedrich , Martin Kruzik

The nonlinear rheological properties of dense suspensions are discussed within simplified models, suggested by a recent first principles approach to the model of Brownian particles in a constant-velocity-gradient solvent flow. Shear…

Soft Condensed Matter · Physics 2015-06-24 Matthias Fuchs , Michael E. Cates

We use large scale computer simulations and finite size scaling analysis to study the shear rheology of dense three-dimensional suspensions of frictionless non-Brownian particles in the vicinity of the jamming transition. We perform…

Soft Condensed Matter · Physics 2015-04-06 Takeshi Kawasaki , Daniele Coslovich , Atsushi Ikeda , Ludovic Berthier

A standard elasto-plasto-dynamic model at finite strains based on the Lie-Liu-Kr\"oner multiplicative decomposition, formulated in rates, is here enhanced to cope with spatially inhomogeneous materials by using the reference (called also…

Analysis of PDEs · Mathematics 2023-04-13 Tomáš Roubíček , Giuseppe Tomassetti
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