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Point defects in real crystals at finite temperatures are inevitable. Their dynamics severely influence the mechanical properties of crystals under shear giving rise to nonlinear effects such as ductility. Therefore, it is crucial to…

Soft Condensed Matter · Physics 2021-02-02 Gaurav P. Shrivastav , Gerhard Kahl

We study the shear induced fluidization of amorphous solids subjected to external loading by investigating the relaxation dynamics of the deformed states using computer simulation. A simple shear deformation is employed at constant rate to…

Soft Condensed Matter · Physics 2021-12-07 Santhosh Kumar R , Bhaskar Sen Gupta

A model of a shear band as a zero-thickness nonlinear interface is proposed and tested using finite element simulations. An imperfection approach is used in this model where a shear band, that is assumed to lie in a ductile matrix material…

Materials Science · Physics 2015-01-29 N. Bordignon , A. Piccolroaz , F. Dal Corso , D. Bigoni

Many soft materials, including foams, dense emulsions, micro gel bead suspensions, star polymers, dense packing of surfactant onion micelles, and textured morphologies of liquid crystals, share the basic "glassy" features of structural…

Soft Condensed Matter · Physics 2015-06-17 Suzanne M. Fielding

We have studied shear deformation of binary Lennard-Jones glasses to investigate the extent to which the transient part of the stress strain curves is invariant when the thermodynamic state point is varied along an isomorph. Shear…

Soft Condensed Matter · Physics 2025-05-02 Yonglun Jiang , Eric R. Weeks , Nicholas P. Bailey

We investigate spatial correlations of strain fluctuations in sheared colloidal glasses and simulations of sheared amorphous solids. The correlations reveal a quadrupolar symmetry reminiscent of the strain field due to an Eshelby's…

We study a disordered network of bistable bonds subjected to periodic strain. The model is inspired by experiments on crumpled sheets and it features behaviors associated with glasses, including a complex energy landscape, memories, and…

Soft Condensed Matter · Physics 2025-07-18 Sheng Huang , Daniel Hexner

A two dimensional amorphous material is modeled as an assembly of mesoscopic elemental pieces coupled together to form an elastically coherent structure. Plasticity is introduced as the existence of different minima in the energy landscape…

Materials Science · Physics 2007-07-05 E. A. Jagla

We consider the adiabatic evolution of glassy states under external perturbations. Although the formalism we use is very general, we focus here on infinite-dimensional hard spheres where an exact analysis is possible. We consider…

Soft Condensed Matter · Physics 2015-01-08 Corrado Rainone , Pierfrancesco Urbani , Hajime Yoshino , Francesco Zamponi

Metals deformed at high strain rates can exhibit failure through formation of shear bands, a phenomenon often attributed to Hadamard instability and localization of the strain into an emerging coherent structure. We verify formation of…

Analysis of PDEs · Mathematics 2016-11-03 Theodoros Katsaounis , Min-Gi Lee , Athanasios Tzavaras

The ubiquitous appearance of regions of localized deformation (shear bands) in different kinds of disordered materials under shear is studied in the context of a mesoscopic model of plasticity. The model may or may not include relaxational…

Soft Condensed Matter · Physics 2015-05-19 E. A. Jagla

We numerically study yielding in two-dimensional glasses which are generated with a very wide range of stabilities by swap Monte-Carlo simulations and then slowly deformed at zero temperature. We provide strong numerical evidence that…

Disordered Systems and Neural Networks · Physics 2020-05-26 Misaki Ozawa , Ludovic Berthier , Giulio Biroli , Gilles Tarjus

Nanoindentation techniques recently developed to measure the mechanical response of crystals under external loading conditions reveal new phenomena upon decreasing sample size below the microscale. At small length scales, material…

Materials Science · Physics 2015-03-18 Paolo Moretti , Benedetta Cerruti , M. -Carmen Miguel

In directionally-dried colloidal dispersions regular bands can appear behind the drying front, inclined at $\pm45^\circ$ to the drying line. Although these features have been noted to share visual similarities to shear bands in metal, no…

Soft Condensed Matter · Physics 2015-09-25 Pree-Cha Kiatkirakajorn , Lucas Goehring

Investigations of strain correlations at the glass transition reveal unexpected phenomena. The shear strain fluctuations show an Eshelby-strain pattern ($\,\sim \cos{(4\theta)}/r^2\,$), characteristic for elastic response, even in liquids…

Soft Condensed Matter · Physics 2016-11-15 Bernd Illing , Sebastian Fritschi , David Hajnal , Christian Klix , Peter Keim , Matthias Fuchs

In a sheared steady state, glasses reach a nonequilibrium criticality called yielding. In this letter, we report that the qualitative nature of this nonequilibrium critical phenomenon depends on the details of the system and that responses…

Soft Condensed Matter · Physics 2023-10-17 Norihiro Oyama , Takeshi Kawasaki , Kang Kim , Hideyuki Mizuno

Mechanical deformation of amorphous solids can be described as consisting of an elastic part in which the stress increases linearly with strain, up to a yield point at which the solid either fractures or starts deforming plastically. It is…

Disordered Systems and Neural Networks · Physics 2020-03-25 Baoshuang Shang , Pengfei Guan , Jean-Louis Barrat

The correlation between local structure and the propensity for structural rearrangements has been widely investigated in glass forming liquids and glasses. In this paper we use the excess two-body entropy $S_2$ and tetrahedrality $\n_{tet}$…

Statistical Mechanics · Physics 2022-03-14 Saheli Mitra , Susana Marin-Aguilar , Srikanth Sastry , Frank Smallenburg , Giuseppe Foffi

We use confocal microscopy and time-resolved light scattering to investigate plasticity in a col- loidal polycrystal, following the evolution of the network of grain boundaries as the sample is submitted to thousands of shear deformation…

Soft Condensed Matter · Physics 2014-08-28 Elisa Tamborini , Luca Cipelletti , Laurence Ramos

In recent research it was found that the fundamental shear-localizing instability of amorphous solids under external strain, which eventually results in a shear band and failure, consists of a highly correlated array of Eshelby quadrupoles…

Soft Condensed Matter · Physics 2015-06-11 Ratul Dasgupta , H. George E. Hentschel , Itamar Procaccia