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Jammed packings of granular materials display complex mechanical response. For example, the ensemble-averaged shear modulus $\left\langle G \right\rangle$ increases as a power-law in pressure $p$ for static packings of soft spherical…

We calculate the shear modulus of crystalline color superconducting quark matter, showing that this phase of dense, but not asymptotically dense, three-flavor quark matter responds to shear stress like a very rigid solid. To evaluate the…

高能物理 - 唯象学 · 物理学 2008-11-26 Massimo Mannarelli , Krishna Rajagopal , Rishi Sharma

While perfect crystals may exhibit a purely elastic response to shear all the way to yielding, the response of amorphous solids is punctuated by plastic events. The prevalence of this plasticity depends on the number of particles $N$ of the…

软凝聚态物质 · 物理学 2018-12-05 Edan Lerner , Itamar Procaccia , Corrado Rainone , Murari Singh

The mechanical response of amorphous solids to external strains is riddled with plastic events that create topological charges in the resulting displacement field. It was recently shown that the latter leads to screening phenomena that are…

软凝聚态物质 · 物理学 2024-09-19 Pawandeep Kaur , Itamar Procaccia , Tuhin Samanta

Molecular dynamics simulations are performed to examine the dynamic response of amorphous solids to oscillatory shear at finite temperatures. The data were collected from a poorly annealed binary glass, which was deformed periodically in…

软凝聚态物质 · 物理学 2017-11-21 Nikolai V. Priezjev

Shear modulus of frictionless granular materials near the jamming transition under oscillatory shear is numerically investigated. It is found that the shear modulus $G$ satisfies a scaling law to interpolate between $G \sim (\phi -…

软凝聚态物质 · 物理学 2014-10-07 Michio Otsuki , Hisao Hayakawa

By calculating the linear response of packings of soft frictionless discs to quasistatic external perturbations, we investigate the critical scaling behavior of their elastic properties and non-affine deformations as a function of the…

软凝聚态物质 · 物理学 2010-01-20 Wouter G. Ellenbroek , Martin van Hecke , Wim van Saarloos

Athermal systems across a large range of length scales, ranging from foams and granular bead packings to crumpled metallic sheets, exhibit slow stress relaxation when compressed. Experimentally they show a non-monotonic stress response when…

软凝聚态物质 · 物理学 2021-12-07 Rituparno Mandal , Diego Tapias , Peter Sollich

We monitor the transformation of a liquid into an amorphous solid in simulations of a glass forming liquid by measuring the variation of a structural order parameter with either changing temperature or potential energy to establish the…

软凝聚态物质 · 物理学 2023-06-07 Gang Sun , Peter Harrowell

We present an orthotropic elastic analysis of frictional granular layers under gravity by studying their stress response to a localized overload at the layer surface for several substrate tilt angles. The distance to the unjamming…

软凝聚态物质 · 物理学 2015-06-04 A. P. F. Atman , P. Claudin , G. Combe , R. Mari

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…

软凝聚态物质 · 物理学 2022-05-06 Jack T. Parley , Rituparno Mandal , Peter Sollich

We explore how a frozen background metric affects the mechanical properties of planar membranes with a shear modulus. We focus on a special class of "warped membranes" with a preferred random height profile characterized by random Gaussian…

软凝聚态物质 · 物理学 2016-06-22 Andrej Kosmrlj , David R. Nelson

We perform molecular dynamic (MD) simulations of frictional non-thermal particles driven by an externally applied shear stress. After the system jams following a transient flow, we probe its mechanical response in order to clarify whether…

软凝聚态物质 · 物理学 2012-02-09 Raffaele Pastore , Massimo Pica Ciamarra , Antonio Coniglio

We derive expressions for the shear modulus of deeply-quenched, glassy solids, in terms of a Cauchy-Born free energy expansion around a rigid (quenched) reference state, following the approach due to Alexander [Alexander, Phys. Rep. 296,…

软凝聚态物质 · 物理学 2015-05-13 Alessio Zaccone

We propose a theoretical framework for predicting the protocol dependence of the jamming transition for frictionless spherical particles that interact via purely repulsive contact forces. We study isostatic jammed disk packings obtained via…

软凝聚态物质 · 物理学 2016-01-19 T. Bertrand , R. P. Behringer , B. Chakraborty , C. S. O'Hern , M. D. Shattuck

We poorly understand the properties of amorphous systems at small length scales, where a continuous elastic description breaks down. This is apparent when one considers their vibrational and transport properties, or the way forces propagate…

无序系统与神经网络 · 物理学 2009-11-11 Matthieu Wyart

In this paper, we study the preferential stiffness and the crack-tip fields for an elastic porous solid of which material properties are dependent upon the density. Such a description is necessary to describe the failure that can be caused…

数值分析 · 数学 2022-12-19 Hyun C. Yoon , S. M. Mallikarjunaiah , Dambaru Bhatta

We study the response to shear deformations of packings of long spherocylindrical particles that interact via frictional forces with friction coefficient $\mu$. The packings are produced and deformed with the help of molecular dynamics…

软凝聚态物质 · 物理学 2021-06-02 Claus Heussinger

Granular materials show inhomogeneous flows characterized by strain localization. When strain is localized in a sheared granular material, rigid regions of a nearly undeformed state are separated by shear bands, where the material yields…

软凝聚态物质 · 物理学 2023-11-07 Aditya Pratap Singh , Vasileios Angelidakis , Thorsten Pöschel , Sudeshna Roy

Mechanical shear deformations lead, in some cases, to effects similar to those resulting from ion irradiation. Here we characterize the effects of shear velocity and temperature on amorphous silicon (\aSi) modelled using classical molecular…

材料科学 · 物理学 2015-05-19 Ali Kerrache , Normand Mousseau , Laurent J. Lewis