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We rigorously derive a strain-gradient model of plasticity as a $\Gamma$-limit of continuum bodies containing finitely-many edge-dislocations (in two dimensions). The key difference from previous such derivations is the elemental notion of…

Analysis of PDEs · Mathematics 2026-03-03 Raz Kupferman , Cy Maor

We show that driven dislocation assemblies exhibit a set of dynamical phases remarkably similar to those of driven systems with quenched disorder such as vortices in superconductors, magnetic domain walls, and charge density wave materials.…

Materials Science · Physics 2017-12-06 C. Zhou , C. Reichhardt , C. J. Olson Reichhardt , I. J. Beyerlein

A mass transport directed from low to high density region in an inhomogeneous medium is modeled as a limiting case of a two-component lattice gas with excluded volume constraint and one of the components fixed. In the long-wavelength…

Disordered Systems and Neural Networks · Physics 2012-10-05 Sergei P. Lukyanets , Oleksandr V. Kliushnychenko

In this study, we use the mechanism-based strain gradient plasticity theory to evaluate both crack tip dislocation density behaviour and the coupled effect of the material plastic properties and the intrinsic material length on non-linear…

Applied Physics · Physics 2021-10-19 V. Shlyannikov , E. Martínez-Pañeda , A. Tumanov , R. Khamidullin

Plastic deformation mediated by collective dislocation dynamics is investigated in the two-dimensional phase-field crystal model of sheared single crystals. We find that intermittent fluctuations in the dislocation population number…

Materials Science · Physics 2015-01-05 Jens M. Tarp , Luiza Angheluta , Joachim Mathiesen , Nigel Goldenfeld

This work deals with an investigation of general principles of superplasticity (SP) in deformed materials. It is shown that a non-linear, wave plastic deformation is the basic process for all plastic deformation phenomena, it makes an…

Soft Condensed Matter · Physics 2017-04-06 V. Egorushkin , A. Ponomarev

We study collective dynamics of interacting deformable self-propelled particles whose migration velocity increases when the local density of particles is increased. Numerical simulations in two dimensions reveal that traveling bands similar…

Soft Condensed Matter · Physics 2015-06-16 Sadato Yamanaka , Takao Ohta

We derive a reduced-order model describing the inflation and deflation dynamics of a liquid-filled hyperelastic balloon, focusing on inviscid laminar flow and the extensional motion of the balloon. We initially study the flow and pressure…

Fluid Dynamics · Physics 2020-04-22 Dotan Ilssar , Amir D. Gat

Generally, the normal displacement-based formation control has a sensing mode that requires the agent not only to have certain knowledge of its direction, but also to gather its local information characterized by nonnegative coupling…

Optimization and Control · Mathematics 2023-06-06 Zhen Li , Yang Tang , Yongqing Fan , Tingwen Huang

The properties of the processes of deformation of a packing of rigid grains are analysed when the exact distribution of the normal forces at contacts is known. Importance of grain rotation and of counter-rotation of adjacent grains is…

Soft Condensed Matter · Physics 2007-05-23 P. Evesque

We investigate the diffusiophoresis of a non-polarizable droplet laden with soluble ionic surfactant, for which the surface charge arises from adsorption of surfactant at the fluid-fluid interface. Unlike previous studies that assume either…

Fluid Dynamics · Physics 2026-02-09 Subrata Majhi , Somnath Bhattacharyya

The aim of this paper is to investigate the numerical implementation of the Field Dislocation Mechanics (FDM) theory for the simulation of dislocation-mediated plasticity. First, the mesoscale FDM theory of Acharya and Roy (2006) is…

Computational Engineering, Finance, and Science · Computer Science 2019-11-11 Léo Morin , Renald Brenner , Pierre Suquet

A time-dependent Ginzburg-Landau model of plastic deformation in two-dimensional solids is presented. The fundamental dynamic variables are the displacement field $\bi u$ and the lattice velocity ${\bi v}=\p {\bi u}/\p t$. Damping is…

Soft Condensed Matter · Physics 2016-08-31 Akira Onuki

We study time-dependent density segregation of granular mixtures flowing over an inclined plane. Discrete Element Method (DEM) simulations in a periodic box are performed for granular mixtures of same size and different density particles…

Soft Condensed Matter · Physics 2025-04-16 Soniya Kumawat , Vishnu Kumar Sahu , Anurag Tripathi

The energetics and stability of dislocations, vacancies and, interstitials in the one-component plasma (OCP), where the charges interact with a log potential and move on the curved surface of a cylinder have been investigated numerically.…

Statistical Mechanics · Physics 2026-01-06 G. Vilella Nilsson , M. A. Moore

We study the transport dynamics of momenta deposited from jets in ultrarelativistic heavy-ion collisions. Assuming that the high-energy partons traverse expanding quark-gluon fluids and are subject to lose their energy and momentum, we…

Nuclear Theory · Physics 2014-08-20 Yasuki Tachibana , Tetsufumi Hirano

The plastic deformation of crystalline and other heterogeneous materials often manifests in stochastic intermittent events indicating the criticality of plastic behavior. Previous studies demonstrated that the presence of short-ranged…

Statistical Mechanics · Physics 2026-01-22 Dénes Berta , Barna Mendei , Péter Dusán Ispánovity

Using experiments with single particle resolution and computer simulations we study the collective behaviour of multiple vacancies injected into two-dimensional crystals. We find that the defects assemble into linear strings that propagate…

Statistical Mechanics · Physics 2013-12-18 Wolfgang Lechner , David Polster , Georg Maret , Peter Keim , Christoph Dellago

We report the first study of the dynamics of point defects, mono and di-vacancies, in a confined 2-D colloidal crystal in real space and time using digital video microscopy. The defects are introduced by manipulating individual particles…

Soft Condensed Matter · Physics 2009-11-07 Alexandros Pertsinidis , X. S. Ling

Existing point cloud representation learning methods primarily rely on data-driven strategies to extract geometric information from large amounts of scattered data. However, most methods focus solely on the spatial distribution features of…

Computer Vision and Pattern Recognition · Computer Science 2026-02-06 Zhongyu Chen , Rong Zhao , Xie Han , Xindong Guo , Song Wang , Zherui Qiao