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A number of current theories of plasticity in amorphous solids assume at their basis that plastic deformations are spatially localized. We present in this paper a series of numerical experiments to test the degree of locality of plastic…

统计力学 · 物理学 2015-05-13 Edan Lerner , Itamar Procaccia

Molecular dynamics simulations are performed to investigate the role of a coherent {\Sigma}3 (111) twin boundary on the plastic deformation behavior of Cu nanopillars. Our work reveals that the mechanical response of pillars with and…

To develop a dislocation-based statistical continuum theory of crystal plasticity is a major challenge of materials science.During the last two decades such a theory has been developed for the time evolution of a system of parallel edge…

材料科学 · 物理学 2021-05-12 István Groma , Péter Dusán Ispánovity , Thomas Hochrainer

We consider a class of particle systems which appear in various applications such as approximation theory, plasticity, potential theory and space-filling designs. The positions of the particles on the real line are described as a global…

偏微分方程分析 · 数学 2022-10-05 Patrick van Meurs , Ken'ichiro Tanaka

Atomic crystals with dislocations deform plastically at low stresses via dislocation glide. Whether dislocation glide occurs in macroscopic frictional granular media has remained unknown. The discrete element method is employed to simulate…

材料科学 · 物理学 2026-05-26 Fumiaki Nakai , Takashi Uneyama , Yuto Sasaki , Kiwamu Yoshii , Hiroaki Katsuragi

Dislocations, line defects in crystalline materials, play an essential role in the mechanical[1,2], electrical[3], optical[4], thermal[5], and phase transition[6] properties of these materials. Dislocation motion, an important mechanism…

材料科学 · 物理学 2023-07-04 Mingqiang Li , Yidi Shen , Kun Luo , Qi An , Peng Gao , Penghao Xiao , Yu Zou

Disclinations, first observed in mesomorphic phases, are relevant to a number of ill-ordered condensed matter media, with continuous symmetries or frustrated order. They also appear in polycrystals at the edges of grain boundaries. They are…

软凝聚态物质 · 物理学 2009-11-13 Maurice Kleman , Jacques Friedel

The stability to dislocations of the elastic phase, or ``Bragg glass'', of a randomly pinned elastic medium in two dimensions is studied using the minimum-cost-flow algorithm for a disordered fully-packed loop model. The elastic phase is…

无序系统与神经网络 · 物理学 2009-10-31 Chen Zeng , Paul L. Leath , Daniel S. Fisher

Incomplete stacking dislocations are predicted to form at edges of the shorter upper layer in two-dimensional hexagonal bilayers upon stretching the longer bottom layer. A concept of the edge Burgers vector is introduced to describe such…

介观与纳米尺度物理 · 物理学 2017-08-07 Irina V. Lebedeva , Andrey A. Knizhnik , Andrey M. Popov

We consider a discrete model of planar elasticity where the particles, in the reference configuration, sit on a regular triangular lattice and interact through nearest neighbor pairwise potentials, with bonds modeled as linearized elastic…

The continuum theory of dislocations, as developed predominantly by Kr\"oner and Kosevich, views each dislocation as a source of incompatibility of strains. We show that this concept can be employed efficiently in the Landau free energy…

材料科学 · 物理学 2010-07-19 R. Gröger , T. Lookman

The interaction between dislocations and precipitates plays an important role in the mechanical behavior of alloys. To provide more insight into the physics of this interaction, this research analyzes short-range interactions of an edge…

材料科学 · 物理学 2024-03-05 Amirreza Keyhani

In this paper, the dynamics of a system of a finite number of screw dislocations is studied. Under the assumption of antiplane linear elasticity, the two-dimensional dynamics is determined by the renormalised energy. The interaction of one…

动力系统 · 数学 2017-06-30 Thomas Hudson , Marco Morandotti

The dynamics of dislocations is reported to exhibit glassy properties. We study numerically various versions of 2d edge dislocation systems in the absence of externally applied stress. Two types of glassy behavior are identified: (i)…

无序系统与神经网络 · 物理学 2009-11-13 B. Bako , I. Groma , G. Gyorgyi , G. T. Zimanyi

The two-dimensional dislocation dynamics approach has been recently used for analyzing plastic deformation in metals and alloys at elevated temperatures. The two-dimensional approach, however, only accounts for the dislocation climbing…

材料科学 · 物理学 2018-01-29 Amirreza Keyhani

Because of the enormous range of time and space scales involved in dislocation dynamics, plastic modeling at macroscale requires a continuous formulation. In this paper, we present a rigorous formulation of the transition between the…

材料科学 · 物理学 2016-06-22 P. L. Valdenaire , Y. Le Bouar , B. Appolaire , A. Finel

The ripplocation is a crystallographic defect which is unique to layered materials, combining nanoscale delamination with the crystallographic slip of a basal dislocation. Here, we have studied basal dislocations and ripplocations, in…

材料科学 · 物理学 2021-06-02 James G. McHugh , Pavlos Mouratidis , Kenny Jolley

This work rigorously implements a recent model of large-strain elasto-plastic evolution in single crystals where the plastic flow is driven by the movement of discrete dislocation lines. The model is geometrically and elastically nonlinear,…

偏微分方程分析 · 数学 2024-02-27 Filip Rindler

We investigate the possibility of projecting low dimensional chaos from spatiotemporal dynamics of a model for a kind of plastic instability observed under constant strain rate deformation conditions. We first discuss the relationship…

混沌动力学 · 物理学 2013-03-28 Ritupan Sarmah , G. Ananthakrishna

Plastic deformation In crystalline materials is controlled by the motion and interactions of dislocations [AND 17]. Discrete Dislocation Dynamics (DDD) simulations have now existed for about 25 years to investigate plastic flow at the…

材料科学 · 物理学 2020-01-07 Sylvain Queyreau