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Concentrated suspensions may shear-thin when the suspended particles form planar sheets that slide over one another with less friction than if the particles are randomly distributed. In a na\"ive model the suspension is described by a mean…

Soft Condensed Matter · Physics 2014-02-25 J. I. Katz

Suspensions are of wide interest and form the basis for many smart fluids. For most suspensions, the viscosity decreases with increasing shear rate, i.e. they shear thin. Few are reported to do the opposite, i.e. shear thicken, despite the…

Many densely packed suspensions and colloids exhibit a behavior known as Discontinuous Shear Thickening in which the shear stress jumps dramatically and reversibly as the shear rate is increased. We performed rheometry and video microscopy…

Soft Condensed Matter · Physics 2015-03-17 Eric Brown , Heinrich M. Jaeger

Using shear wave elastography, we measure the changes in the wave speed with the stress produced by a striated muscle during isometric voluntary contraction. To isolate the behaviour of an individual muscle from complementary or…

The dispersive motion of surface waves is now routinely used to remotely measure the currents close beneath the surface of oceans and other natural flows. The current manifests as wavelength-dependent Doppler shifts in the spatiotemporal…

Atmospheric and Oceanic Physics · Physics 2024-08-27 Stefan Weichert , Benjamin K. Smeltzer , Simen Å. Ellingsen

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…

Soft Condensed Matter · Physics 2015-06-16 Eric Brown , Heinrich M. Jaeger

The concept of a Shear Transformation Zone (STZ) refers to a region in an amorphous solid that undergoes a plastic event when the material is put under an external mechanical load. An important question that had accompanied the development…

Soft Condensed Matter · Physics 2015-06-10 Oleg Gendelman , Prabhat K. Jaiswal , Itamar Procaccia , Bhaskar Sen Gupta , Jacques Zylberg

Shearing granular materials induces non-affine displacements. Such non-affine displacements have been studied extensively, and are known to correlate with plasticity and other mechanical features of amorphous packings. A well known example…

Soft Condensed Matter · Physics 2020-12-15 Dong Wang , Joshua A. Dijksman , Jonathan Bares , Jie Ren , Hu Zheng

Alternating shear rotations in dense suspensions have recently shown the ability to reduce both viscosity and dissipation per strain (at a fixed global shear rate). Here, we study alternating shear rotation, with extensive numerical…

Soft Condensed Matter · Physics 2025-03-18 Pappu Acharya , Martin Trulsson

Mechanical non-reciprocity-manifested as asymmetric responses to opposing mechanical stimuli-has traditionally been achieved through intricate structural nonlinearities in metamaterials. However, continuum solids with inherent…

Soft Condensed Matter · Physics 2025-11-17 Chang Xu , Shuaihu Wang , Hong Wang , Xu Liu , Zemin Liu , Yiqiu Zhao , Wenqi Hu , Qin Xu

The problem of interest in this article are waves on a layer of finite depth governed by the Euler equations in the presence of gravity, surface tension, and vertical electric fields. Perturbation theory is used to identify canonical…

Fluid Dynamics · Physics 2015-01-13 Matthew Hunt , Emilian Parau , Jean-Marc Vanden-broeck , Demetrios Papageorgiou

Wave resonance is the fundamental mechanism of non-linear instabilities of fluid flows, and affects the long-time evolution of fluid motions and other physical problems described by non-linear differential equations. Some significant…

Mathematical Physics · Physics 2011-04-08 Lun-Shin Yao

Oscillatory shear tests are widely used in rheology to characterize the linear and non-linear mechanical response of complex fluids, including the yielding transition. There is an increasing urge to acquire detailed knowledge of the…

Soft Condensed Matter · Physics 2021-09-07 Paolo Edera , Matteo Brizioli , Giuliano Zanchetta , George Petekidis , Fabio Giavazzi , Roberto Cerbino

Shear instabilities can be the source of significant amounts of turbulent mixing in stellar radiative zones. Past attempts at modeling their effects (either theoretically or using numerical simulations) have focused on idealized geometries…

Solar and Stellar Astrophysics · Physics 2023-11-20 Pascale Garaud , Saniya Khan , Justin M. Brown

We study theoretically the edge fracture instability in sheared complex fluids, by means of linear stability analysis and direct nonlinear simulations. We derive an exact analytical expression for the onset of edge fracture in terms of the…

Soft Condensed Matter · Physics 2017-07-19 Ewan J. Hemingway , Halim Kusumaatmaja , Suzanne M. Fielding

We show that the long time tail of the shear stress autocorrelation, whose growth at large supercooling is responsible for the apparent divergence of the shear viscosity, is a direct result of a residual shear stress in the structures…

Soft Condensed Matter · Physics 2015-06-03 Sneha Abraham , Peter Harrowell

We present local numerical models of accretion disk turbulence driven by the magnetorotational instability with varying shear rate. The resulting turbulent stresses are compared with predictions of a closure model in which triple…

Astrophysics · Physics 2009-01-17 A. J. Liljeström , M. J. Korpi , P. J. Käpylä , A. Brandenburg , W. Lyra

We study the effect of an externally imposed oscillatory shear on the motion of a grain boundary that separates differently oriented domains of the lamellar phase of a diblock copolymer. A direct numerical solution of the Swift-Hohenberg…

Soft Condensed Matter · Physics 2009-11-10 Zhi-Feng Huang , Jorge Vinals

Shock wave theory was first studied for gas dynamics, for which shocks appear as compression waves. A shock wave is characterized as a sharp transition, even discontinuity in the flow. In fact, shocks appear in many different physical…

Analysis of PDEs · Mathematics 2007-05-23 Tai-Ping Liu

A nonlinear Schr\"odinger equation with variable coefficients for surface waves on a large-scale steady nonuniform current has been derived without the assumption of a relative smallness of the velocity of the current. This equation can…

Fluid Dynamics · Physics 2017-04-14 V. P. Ruban