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In this paper a geometric field theory of dislocation dynamics and finite plasticity in single crystals is formulated. Starting from the multiplicative decomposition of the deformation gradient into elastic and plastic parts, we use…

Materials Science · Physics 2023-08-02 Fabio Sozio , Arash Yavari

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…

Materials Science · Physics 2023-07-04 Mingqiang Li , Yidi Shen , Kun Luo , Qi An , Peng Gao , Penghao Xiao , Yu Zou

A recent study demonstrated that granular crystals containing a single dislocation exhibit dislocation glide analogous to that observed in atomic-scale crystals, resulting in plastic deformation at yield stresses several orders of magnitude…

Soft Condensed Matter · Physics 2026-05-26 Fumiaki Nakai , Takashi Uneyama , Yuto Sasaki , Kiwamu Yoshii , Hiroaki Katsuragi

The viscoplastic deformation (creep) of crystalline materials under constant stress involves the motion of a large number of interacting dislocations. Analytical methods and sophisticated `dislocation-dynamics' simulations have proved very…

Statistical Mechanics · Physics 2009-11-07 M. -Carmen Miguel , Alessandro Vespignani , Stefano Zapperi , Jerome Weiss , Jean-Robert Grasso

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…

Materials Science · Physics 2026-05-26 Fumiaki Nakai , Takashi Uneyama , Yuto Sasaki , Kiwamu Yoshii , Hiroaki Katsuragi

The cores of edge dislocations, edge dislocation dipoles and edge dislocation loops in planar graphene have been studied by means of periodized discrete elasticity models. To build these models, we have found a way to discretize linear…

Materials Science · Physics 2008-08-07 A. Carpio , L. L. Bonilla

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…

Materials Science · Physics 2021-06-02 James G. McHugh , Pavlos Mouratidis , Kenny Jolley

A two-dimensional (2D) dislocation continuum theory is being introduced. The present theory adds elastic rotation, dislocation density, and background stress to the classical energy density of elasticity. This theory contains four material…

Mesoscale and Nanoscale Physics · Physics 2015-10-15 Markus Lazar

The presence of interfaces and grain boundaries significantly impacts the mechanical properties of materials, particularly when dealing with micro- or nano-scale samples. Distinct interactions between dislocations and grain boundaries can…

Materials Science · Physics 2025-05-08 Jinxin Yu , Alfonso H. W. Ngan , David J. Srolovitzb , Jian Hana

It has been shown in experiments that self-climb of prismatic dislocation loops by pipe diffusion plays important roles in their dynamical behaviors, e.g., coarsening of prismatic loops upon annealing, as well as the physical and mechanical…

Materials Science · Physics 2019-05-21 Xiaohua Niu , Yejun Gu , Yang Xiang

In this paper, we deduce a macroscopic strain gradient theory for plasticity from a model of discrete dislocations. We restrict our analysis to the case of a cylindrical symmetry for the crystal in exam, so that the mathematical formulation…

Mathematical Physics · Physics 2008-08-19 Adriana Garroni , Giovanni Leoni , Marcello Ponsiglione

Dislocations in soft condensed matter systems such as lamellar systems of polymers, liquid crystals and ternary mixtures of oil, water and surfactant (amphiphilic systems) are described in the framework of continuum elastic theory. These…

Condensed Matter · Physics 2015-06-25 R. Holyst , P. Oswald

Crystalline materials deform in an intermittent way via dislocation-slip avalanches. Below a critical stress, the dislocations are jammed within their glide plane due to long-range elastic interactions and the material exhibits plastic…

Soft Condensed Matter · Physics 2015-05-20 Georgios Tsekenis , Nigel Goldenfeld , Karin A. Dahmen

The core structure of dislocations is critical to their mobility, cross slip, and other plastic behaviors. Atomistic simulation of the core structure is limited by the size of first-principles density functional theory (DFT) calculation and…

Materials Science · Physics 2022-09-13 Fenglin Deng , Hongyu Wu , Ri He , Peijun Yang , Zhicheng Zhong

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)…

Disordered Systems and Neural Networks · Physics 2009-11-13 B. Bako , I. Groma , G. Gyorgyi , G. T. Zimanyi

It has recently become popular to analyze the behavior of excess dislocations in plastic deformation under the assumption that such dislocations are arranged into walls with periodic dislocation spacing along the wall direction. This…

Materials Science · Physics 2015-05-30 Michael Zaiser , Istvan Groma

Dislocations in crystalline materials are widely exploited to tailor the thermal conductivity of semiconductors and thermoelectrics, yet a critical gap persists: direct measurement of local thermal resistance at individual buried…

Materials Science · Physics 2026-05-20 Ruilin Mao , Bingyao Liu , Jiaxin Liu , Xiaoyue Gao , Junping Luo , Fachen Liu , Ruochen Shi , Jiade Li , Jinlong Du , Peng Gao

We use DFT to compute core structures of $a_0[100](010)$ edge, $a_0[100](011)$ edge, $a_0/2[\bar{1}\bar{1}1](1\bar{1}0)$ edge, and $a_0/2[111](1\bar{1}0)$ $71^{\circ}$ mixed dislocations in bcc Fe. The calculations use flexible boundary…

Materials Science · Physics 2018-12-05 Michael R. Fellinger , Anne Marie Z. Tan , Louis G. Hector , Dallas R. Trinkle

Graphene is well known for its extraordinary mechanical properties combining brittleness and ductility. While most mechanical studies of graphene focused on the strength and brittle fracture behavior, its ductility, plastic deformation, and…

Materials Science · Physics 2021-12-23 Wenquan Zhou , Jincheng Wang , Bo Lin , Zhijun Wang , Junjie Li , Zhi-Feng Huang

Metals with fcc structure may exhibit deformation twinning under specific conditions, which is an interesting but somewhat elusive aspect of their deformation behavior. It is well acknowledged that the phenomenon occurs through the…

Materials Science · Physics 2020-08-28 Sri Sadgun Reddy Pulagam , Amlan Dutta
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