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The onset of irreversible deformation in low-temperature amorphous solids is due to the accumulation of elementary events, consisting of spacially and temporally localized atomic rearrangements involving only a few tens of atoms. Recently,…

Soft Condensed Matter · Physics 2016-10-12 Francesco Puosi , Joerg Rottler , Jean-Louis Barrat

The homotopy theory of topological defects in ordered media fails to completely characterize systems with broken translational symmetry. We argue that the problem can be understood in terms of the lack of rotational Goldstone modes in such…

Soft Condensed Matter · Physics 2009-09-14 Bryan Gin-ge Chen , Gareth P. Alexander , Randall D. Kamien

A part of the theory of dislocations in crystals is revised with the aim to fit it into the framework of the nonlinear theory of plasticity initially designed for amorphous glassy materials.

Mathematical Physics · Physics 2007-05-23 Jeffrey Comer , Ruslan Sharipov

Local rearrangements are the elements of plastic deformation in an amorphous solid. In oscillatory shear, they can switch reversibly between two distinct configurations. While these repeating relaxations are typically considered in the…

Soft Condensed Matter · Physics 2025-12-22 Zhicheng Wang , Nathan C. Keim

During plastic deformation, metals change shape while continuously becoming stronger. The microscopic origin of these processes lies in the proliferation and movement of line defects, dislocations, and the subsequent self-organisation and…

A discrete model describing defects in crystal lattices and having the standard linear anisotropic elasticity as its continuum limit is proposed. The main ingredients entering the model are the elastic stiffness constants of the material…

Materials Science · Physics 2007-05-23 A. Carpio , L. L. Bonilla

Topological defects -- locations of local mismatch of order -- are a universal concept playing important roles in diverse systems studied in physics and beyond, including the universe, various condensed matter systems, and recently, even…

Soft Condensed Matter · Physics 2022-10-14 Yohei Zushi , Kazumasa A. Takeuchi

Understanding how a flow turns into an amorphous solid is a fundamental challenge in statistical physics, during which no apparent structural ordering appears. In the athermal limit, the two states are connected by a well-defined jamming…

Soft Condensed Matter · Physics 2025-05-01 Yang Fu , Yuliang Jin , Deng Pan , Itamar Procaccia

Smectic liquid crystals are charcterized by layers that have a preferred uniform spacing and vanishing curvature in their ground state. Dislocations in the smectics play an important role in phase nucleation, layer reorientation, and…

Soft Condensed Matter · Physics 2017-06-28 Hillel Aharoni , Thomas Machon , Randall D. Kamien

We demonstrate that plastic deformation in solids is associated with a dynamic transition that is reminiscent to the transition from a superconducting to a mixed phase in Type II superconductors. We report analytic calculations, extensive…

Soft Condensed Matter · Physics 2016-12-06 Saswati Ganguly , Juergen Horbach , Peter Sollich , Smarajit Karmakar , Surajit Sengupta

Starting from a prototypical model of elasto-plasticity in the small-strain and quasi-static setting, where the evolution of the plastic distortion is driven exclusively by the motion of discrete dislocations, this work performs a rigorous…

Analysis of PDEs · Mathematics 2025-03-26 Paolo Bonicatto , Filip Rindler

An exact description is provided of an almost spherical fluid vesicle with a fixed area and a fixed enclosed volume locally deformed by external normal forces bringing two nearby points on the surface together symmetrically. The conformal…

Soft Condensed Matter · Physics 2013-04-17 Jemal Guven , Pablo Vázquez-Montejo

The similarity in mechanical properties of dense active matter and sheared amorphous solids has been noted in recent years without a rigorous examination of the underlying mechanism. We develop a mean-field model that predicts that their…

Soft Condensed Matter · Physics 2021-08-03 Peter K. Morse , Sudeshna Roy , Elisabeth Agoritsas , Ethan Stanifer , Eric I. Corwin , M. Lisa Manning

We present a thorough study of the plastic response of a granular material progressively loaded. We study experimentally the evolution of the plastic field from a homogeneous one to an heterogeneous one and its fluctuations in term of…

Soft Condensed Matter · Physics 2018-08-29 David Houdoux , Thai Binh Nguyen , Axelle Amon , Jérôme Crassous , Thai Nguyen

Micro-plasticity theories and models are suitable to explain and predict mechanical response of devices on length scales where the influence of the carrier of plastic deformation - the dislocations - cannot be neglected or completely…

Materials Science · Physics 2015-06-10 Stefan Sandfeld , Ekkachai Thawinan , Christian Wieners

Freestanding tubular crystals offer a general description of crystalline order on deformable surfaces with cylindrical topology, such as single-walled carbon nanotubes, microtubules, and recently reported colloidal assemblies. These systems…

Soft Condensed Matter · Physics 2023-09-11 Andrei Zakharov , Daniel A. Beller

Using molecular dynamics simulation, we examine the dynamics of crystal, polycrystal, and glass in a Lennard-Jones binary mixture composed of small and large particles in two dimensions. The crossovers occur among these states as the…

Soft Condensed Matter · Physics 2010-05-04 Hayato Shiba , Akira Onuki

From the theory of topological defect formation proposed for the early universe, the so called Kibble mechanism, it follows that the density correlation functions of defects and anti-defects in a given system should be completely determined…

High Energy Physics - Phenomenology · Physics 2009-11-07 Rajarshi Ray , Ajit M. Srivastava

It has been a long-standing materials science challenge to establish structure-property relations in amorphous solids. Here we introduce a rotation-variant local structure representation that enables different predictions for different…

Materials Science · Physics 2022-03-15 Zhao Fan , Evan Ma

Plastic instabilities in amorphous materials are often studied using idealized models of binary mixtures that do not capture accurately molecular interactions and bonding present in real glasses. Here we study atomic scale plastic…

Disordered Systems and Neural Networks · Physics 2020-01-01 Silvia Bonfanti , Roberto Guerra , Chandana Mondal , Itamar Procaccia , Stefano Zapperi