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The notion of defects in crystalline phases of matter has been extremely powerful for understanding crystal growth, deformation and melting. Many of these discontinuities in the periodic order of crystals are well described by the Burgers…

We deform, in pure shear, a thin sample of Cu$_{50}$Zr$_{50}$ metallic glass using a molecular dynamics simulation up to, and including, failure. The experiment is repeated ten times in order to have average values and standard deviations.…

Materials Science · Physics 2020-02-19 Matias Sepulveda-Macias , Gonzalo Gutierrez , Fernando Lund

We perform extensive simulations of a 2D LJ glass subjected to quasi-static shear deformation at T=0. We analyze the distribution of non-affine displacements in terms of contributions of plastic, irreversible events, and elastic, reversible…

Statistical Mechanics · Physics 2016-03-28 Anaël Lemaître , Christiane Caroli

Glasses possess more low-frequency vibrational modes than predicted by Debye theory. These excess modes are crucial for the understanding the low temperature thermal and mechanical properties of glasses, which differ from those of…

Disordered Systems and Neural Networks · Physics 2021-12-22 Lijin Wang , Grzegorz Szamel , Elijah Flenner

We wish to understand the macroscopic plastic behaviour of metals by upscaling the micro-mechanics of dislocations. We consider a highly simplified dislocation network, which allows our microscopic model to be a one dimensional particle…

Mathematical Physics · Physics 2019-02-20 P. van Meurs , A. Muntean , M. A. Peletier

The present paper studies non-uniform plastic deformations of crystals undergoing anti-plane constrained shear. The asymptotically exact energy density of crystals containing a moderately large density of excess dislocations is found by the…

Materials Science · Physics 2018-01-17 Khanh Chau Le , Yinguang Piao

In crystal plasticity finite element (CPFE) simulations, accurately quantifying geometrically necessary dislocations (GNDs) is critical for capturing strain gradients in polycrystals. We compare different methods for quantifying GNDs, all…

Materials Science · Physics 2026-01-28 Michael Pilipchuk , Chaitali Patil , Veera Sundararaghavan

Mixing theoretical topological structures with cutting-edge simulation methods, a recent study in Nature Communications has finally confirmed the existence of topological defects in glasses and their crucial role for plasticity.

Soft Condensed Matter · Physics 2023-05-25 Matteo Baggioli

We propose a framework within which a robust mechanical definition of precursors to plastic instabilities, often termed `soft-spots', naturally emerges. They are shown to be collective displacements (modes) $\hat{z}_0$ that correspond to…

Soft Condensed Matter · Physics 2016-02-03 Luka Gartner , Edan Lerner

We analyze low-frequency vibrational modes in a two-dimensional, zero-temperature, quasistatically sheared model glass to identify a population of structural "soft spots" where particle rearrangements are initiated. The population of spots…

Soft Condensed Matter · Physics 2015-05-20 M. Lisa Manning , Andrea J. Liu

In recent work, we developed a screening theory for describing the effect of plastic events in amorphous solids on its emergent mechanics. The suggested theory uncovered an anomalous mechanical response of amorphous solids where plastic…

Soft Condensed Matter · Physics 2023-05-24 Harish Charan , Michael Moshe , Itamar Procaccia

Plasticity refers to thermodynamically irreversible deformation associated with a change of configuration of materials. Friction is a phenomenological law that describes the forces resisting sliding between two solids or across an embedded…

Geophysics · Physics 2018-02-23 Sylvain Barbot

We study the impact of the wetting properties on the immiscible displacement of a viscous fluid in disordered porous media. We present a novel pore-scale model that captures wettability and dynamic effects, including the spatiotemporal…

Fluid Dynamics · Physics 2016-10-14 Ran Holtzman , Enrico Segre

The vibrational density of states of glasses is considerably different from that of crystals. In particular, there exist spatially localized vibrational modes in glasses. The density of states of these non-phononic modes has been observed…

Soft Condensed Matter · Physics 2023-05-02 Kumpei Shiraishi , Hideyuki Mizuno , Atsushi Ikeda

In glasses and other disordered materials, measurements of the vibrational density of states reveal that an excess number of long-wavelength (low-frequency) modes, as compared to the Debye scaling seen in crystalline materials, is…

Soft Condensed Matter · Physics 2012-09-17 Eli T. Owens , Karen E. Daniels

In amorphous materials, plasticity is localized and occurs as shear transformations. It was recently shown by Wu et al. that these shear transformations can be predicted by applying topological defect concepts developed for liquid crystals…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Paul Desmarchelier , Spencer Fajardo , Michael L. Falk

Patterned irradiation of cuprate superconductors with columnar defects allows a new generation of experiments which can probe the properties of vortex liquids by confining them to controlled geometries. Here we show that an analysis of such…

Superconductivity · Physics 2009-10-31 M. Cristina Marchetti , David R. Nelson

The superfluid density is calculated theoretically for incompressible vortex lattices in two dimensions that have isolated dislocations quenched in by a random arrangement of pinned vortices. The latter are assumed to be sparse and to be…

Superconductivity · Physics 2007-05-23 J. P. Rodriguez

Following recent evidence that the vortices in decaying two-dimensional turbulence can be classified into small--mobile, and large--quasi-stationary, this paper examines the evidence that the latter might be considered a `crystal' whose…

Fluid Dynamics · Physics 2021-08-04 Javier Jiménez

We present a hydrodynamic model for a thin spherical shell of active nematic liquid crystal with an arbitrary configuration of defects. The active flows generated by defects in the director lead to the formation of stable vortices,…

Soft Condensed Matter · Physics 2017-11-13 Diana Khoromskaia , Gareth P. Alexander