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In soft amorphous materials, shear cessation after large shear deformation leads to structures having residual shear stress. The origin of these states and the distribution of the local shear stresses within the material is not well…

Soft Condensed Matter · Physics 2021-08-31 Vishwas V. Vasisht , Pinaki Chaudhuri , Kirsten Martens

We present results on a series of 2D atomistic computer simulations of amorphous systems subjected to simple shear in the athermal, quasistatic limit. The athermal quasistatic trajectories are shown to separate into smooth, reversible…

Soft Condensed Matter · Physics 2016-08-16 Craig E. Maloney , Anaël Lemaître

The ``Eshelby problem" refers to the response of a 2-dimensional elastic sheet to cutting away a circle, deforming it into an ellipse, and pushing it back. The resulting response is dominated by the so-called ``Eshelby Kernel" which was…

Materials Science · Physics 2023-09-26 H. George E. Hentschel , Avanish Kumar , Itamar Procaccia , Saikat Roy

The slow flow of amorphous solids exhibits striking heterogeneities: swift localised particle rearrangements take place in the midst of a more or less homogeneously deforming medium. Recently, experimental as well as numerical work has…

Soft Condensed Matter · Physics 2014-03-04 Alexandre Nicolas , Joerg Rottler , Jean-Louis Barrat

In soft amorphous solids, localized irreversible (plastic) stress dissipation occurs as a response to external forcings. A crucial question is whether we can identify structural properties linked to a region's propensity to undergo a…

Soft Condensed Matter · Physics 2025-02-24 Anier Hernandez-Garcia

Molecular dynamics simulations are increasingly being used to investigate the structural evolution of polymers during mechanical deformation, but relatively few studies focus on the influence of boundary conditions on this evolution, in…

Materials Science · Physics 2013-10-03 M. A. Tschopp , J. L. Bouvard , D. K. Ward , D. J. Bammann , M. F. Horstemeyer

Glasses are mechanically rigid, still undergo structural relaxation which changes their properties and affects potential technological applications. Understanding the underlying physical processes is a problem of broad theoretical and…

Soft Condensed Matter · Physics 2025-09-09 Avinash Kumar Jha , Shiladitya Sengupta

Spiral waves are a ubiquitous feature of the nonequilibrium dynamics of a great variety of excitable systems. In the limit of a large separation in timescale between fast excitation and slow recovery, one can reduce the spiral problem to…

patt-sol · Physics 2009-10-30 David A. Kessler , Herbert Levine

Symmetry-breaking instability of a laterally uniform granular cluster (strip state) in a prototypical driven granular gas is investigated. The system consists of smooth hard disks in a two-dimensional box, colliding inelastically with each…

Soft Condensed Matter · Physics 2009-11-07 Evgeniy Khain , Baruch Meerson

In recent work it was clarified that amorphous solids under strain control do not possess nonlinear elastic theory in the sense that the shear modulus exists but nonlinear moduli exhibit sample to sample fluctuations that grow without bound…

Soft Condensed Matter · Physics 2017-03-29 Vladimir Dailidonis , Valery Ilyin , Itamar Procaccia , Carmel A. B. Z. Shor

The motion of an object within a viscous fluid and in the vicinity of a soft surface induces a hydrodynamic stress field that deforms the latter, thus modifying the boundary conditions of the flow. This results in elastohydrodynamic (EHD)…

Soft Condensed Matter · Physics 2023-06-22 Vincent Bertin , Yacine Amarouchene , Elie Raphael , Thomas Salez

We numerically investigate the athermal creep deformation of amorphous materials having a wide range of stability. The imposed shear stress serves as the control parameter, allowing us to examine the time-dependent transient response…

Soft Condensed Matter · Physics 2025-10-13 Pinaki Chaudhuri , Ludovic Berthier , Misaki Ozawa

We formulate a phenomenological elasto-plastic theory to describe a solid undergoing a structural transition from a square (p4mm) to an oblique (p2) lattice in two dimensions. Within our theory, the components of the strain may be…

Materials Science · Physics 2010-03-18 Arya Paul , Surajit Sengupta , Madan Rao

Stochastic Structural Stability Theory (SSST) provides an autonomous, deterministic, nonlinear dynamical system for evolving the statistical mean state of a turbulent system. In this work SSST is applied to the problem of understanding the…

Fluid Dynamics · Physics 2014-12-30 Brian F. Farrell , Petros J. Ioannou

In this letter, we develop a framework to study the mechanical response of athermal amorphous solids via a coupling of mesoscale and microscopic models. Using measurements of coarse grained quantities from simulations of dense disordered…

Soft Condensed Matter · Physics 2021-04-07 Chen Liu , Suman Dutta , Pinaki Chaudhuri , Kirsten Martens

When a disordered solid is sheared, yielding is followed by the onset of intermittent response that is characterized by slip in local regions usually labeled shear-transformation zones (STZ). Such intermittent response resembles the…

Materials Science · Physics 2016-04-06 Stefanos Papanikolaou

We study the fundamental problem of two gas species in two dimensional velocity space whose molecules collide as hard circles in the presence of a flat boundary and with dependence on only one space dimension. The case of three-dimensional…

Analysis of PDEs · Mathematics 2009-11-11 A. Sotirov

The effect of a local shear transformation on plastic deformation of a three-dimensional amorphous solid is studied using molecular dynamics simulations. We consider a spherical inclusion, which is gradually transformed into an ellipsoid of…

Materials Science · Physics 2015-03-23 Nikolai V. Priezjev

We study the two-dimensional (2D) shear flow of amorphous solids within variants of an elastoplastic model, paying particular attention to spatial correlations and time fluctuations of, e.g., local stresses. The model is based on the local…

Soft Condensed Matter · Physics 2014-03-27 Alexandre Nicolas , Kirsten Martens , Lydéric Bocquet , Jean-Louis Barrat

Amorphous solids are yield stress materials that flow when a sufficient load is applied. Their flow consists of periods of elastic loading interrupted by rapid stress drops, or avalanches, coming from microscopic rearrangements known as…

Disordered Systems and Neural Networks · Physics 2021-09-08 Daniel Korchinski , Céline Ruscher , Jörg Rottler