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We propose a semismooth Newton method for non-Newtonian models of incompressible flow where the constitutive relation between the shear stress and the symmetric velocity gradient is given implicitly; this class of constitutive relations…

数值分析 · 数学 2021-10-18 P. A. Gazca-Orozco

We show that geometric confinement dramatically affects the shear-induced configurations of dense mono-disperse colloidal suspensions; a new structure emerges, where layers of particles buckle to stack in a more efficient packing. The…

软凝聚态物质 · 物理学 2009-11-10 Itai Cohen , Thomas G. Mason , David A. Weitz

We present neural network-based constitutive models for hyperelastic geometrically exact beams. The proposed models are physics-augmented, i.e., formulated to fulfill important mechanical conditions by construction, which improves accuracy…

计算工程、金融与科学 · 计算机科学 2024-12-20 Jasper O. Schommartz , Dominik K. Klein , Juan C. Alzate Cobo , Oliver Weeger

The dramatic viscosity increase observed in dense suspensions under shear poses a major challenge in our understanding of how microscopic contact mechanics translate into macroscopic flow resistance. Here, we introduce a constraint-counting…

软凝聚态物质 · 物理学 2026-03-17 Qinghao Mao , Michael van der Naald , Abhinendra Singh , Heinrich M. Jaeger

When polydisperse granular systems are sheared, the transverse dynamics is characterized by the interplay of size segregation and diffusion. Segregation in nonuniform and confined shearing flows is studied using annular shear cell…

其他凝聚态物理 · 物理学 2026-01-29 Santiago Caro , Riccardo Artoni , Patrick Richard , Michele Larcher , James T. Jenkins

It was shown in [PRL 114, 138301 (2015)] that a remarkably simple dynamical model exhibits many of the complex flow regimes and non-equilibrium phase transitions characteristic of complex fluids. By removing extraneous detail, this simplest…

软凝聚态物质 · 物理学 2016-09-05 R. M. L. Evans , Craig A. Hall , R. Aditi Simha , Tom Welsh

We use particle-based simulation to study the rheology of dense suspensions comprising mixtures of small colloids and larger grains, which exhibit shear thinning at low shear rates and shear thickening at high shear rates. By systematically…

软凝聚态物质 · 物理学 2026-01-14 Xuan Li , John R. Royer , Christopher Ness

Inhomogeneous flows and shear banding are of interest for a range of applications but have been eluding a comprehensive theoretical understanding, mostly due to the lack of a framework comparable to equilibrium statistical mechanics. Here…

统计力学 · 物理学 2025-05-15 Thomas Speck

This work presents a unified viscoelastic-viscoplastic continuum framework for modeling rate-dependent granular flows across regimes. The formulation incorporates two distinct rate-dependent mechanisms, namely micro-inertia and viscoelastic…

软凝聚态物质 · 物理学 2026-04-28 Bodhinanda Chandra , Sachith Dunatunga , Ken Kamrin

Shear thickening of particle suspensions is characterized by a transition between lubricated and frictional contacts between the particles. Using 3D numerical simulations, we study how the inter-particle friction coefficient influences the…

软凝聚态物质 · 物理学 2020-01-08 Vishnu Sivadasan , Eric Lorenz , Alfons G. Hoekstra , Daniel Bonn

Slow and dense granular flows often exhibit narrow shear bands, making them ill-suited for a continuum description. However, smooth granular flows have been shown to occur in specific geometries such as linear shear in the absence of…

软凝聚态物质 · 物理学 2009-11-11 Martin Depken , Martin van Hecke , Wim van Saarloos

Diverging correlation lengths on either side of the jamming transition are used to formulate a rheological model of granular shear flow, based on the propagation of stress through force chain networks. The model predicts three distinct flow…

软凝聚态物质 · 物理学 2009-11-11 Gregg Lois , Jean M. Carlson

Shear thickening is a type of non-Newtonian behavior in which the stress required to shear a fluid increases faster than linearly with shear rate. Many concentrated suspensions of particles exhibit an especially dramatic version, known as…

软凝聚态物质 · 物理学 2015-06-16 Eric Brown , Heinrich M. Jaeger

Normal stresses in sheared suspensions of non-Brownian particles are obtained from numerical simulations in the viscous regime. The stresses are determined in homogeneous shear of non-buoyant particles and by analyzing shear-induced…

软凝聚态物质 · 物理学 2024-10-02 William Chèvremont , Bruno Chareyre , Hugues Bodiguel

Motivated by recent strain-limiting models for solids and biological fibers, we introduce the first intrinsic set of nonlinear constitutive relations, between the geometrically exact strains and the components of the contact force and…

数学物理 · 物理学 2022-09-23 K. R. Rajagopal , Casey Rodriguez

Recent studies of athermal systems such as dry grains and dense, non-Brownian suspensions have shown that shear can lead to solidification through the process of shear jamming in grains and discontinuous shear thickening in suspensions. The…

软凝聚态物质 · 物理学 2015-06-19 Sumantra Sarkar , Bulbul Chakraborty

Classically, the mechanical response of materials is described through constitutive models, often in the form of constrained ordinary differential equations. These models have a very limited number of parameters, yet, they are extremely…

机器学习 · 计算机科学 2022-09-27 Ehsan Haghighat , Sahar Abouali , Reza Vaziri

We study the steady-state response to applied stress in a simple scalar model of sheared colloids. Our model is based on a schematic (F2) model of the glass transition, with a memory term that depends on both stress and shear rate. For…

软凝聚态物质 · 物理学 2009-11-07 C. B. Holmes , M. Fuchs , M. E. Cates

The re-solidification of amorphous solids after mechanically driven yielding from a nonequilibrium state is a fundamental soft matter science problem of broad relevance in materials science, with implications for material strength,…

软凝聚态物质 · 物理学 2026-04-16 Anoop Mutneja , Kenneth S. Schweizer

Dense suspensions of particles dispersed in liquids are central to industrial and geophysical processes and serve as model systems for out-of-equilibrium soft matter. At high particle concentrations, they exhibit stress-dependent rheology,…

软凝聚态物质 · 物理学 2026-03-16 Orhun Ayar , Bhargav Sriram Siddani , Ishan Srivastava , Abhinendra Singh
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