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In this paper, we present a continuum model for the dynamics of low angle grain boundaries in two dimensions based on the motion of constituent dislocations of the grain boundaries. The continuum model consists of an equation for the motion…

材料科学 · 物理学 2018-06-13 Luchan Zhang , Yang Xiang

We develop a continuum model for the dynamics of grain boundaries in three dimensions that incorporates the motion and reaction of the constituent dislocations. The continuum model is based on a simple representation of densities of curved…

材料科学 · 物理学 2021-11-08 Xiaoxue Qin , Luchan Zhang , Yang Xiang

We present a continuum model to determine the dislocation structure and energy of low angle grain boundaries in three dimensions. The equilibrium dislocation structure is obtained by minimizing the grain boundary energy that is associated…

材料科学 · 物理学 2021-11-08 Xiaoxue Qin , Yejun Gu , Luchan Zhang , Yang Xiang

The dynamics of dislocation assemblies in deforming crystals indicate the emergence of collective phenomena, intermittent fluctuations and strain avalanches. In polycrystalline materials, the understanding of plastic deformation mechanisms…

材料科学 · 物理学 2009-11-13 Paolo Moretti , Lasse Laurson , Mikko J. Alava

In this paper, we present a continuum model to compute the energy of low angle grain boundaries for any given degrees of freedom (arbitrary rotation axis, rotation angle and boundary plane orientation) based on a continuum dislocation…

材料科学 · 物理学 2016-12-20 Luchan Zhang , Yejun Gu , Yang Xiang

Although continuum theory has been widely used to describe the long-range elastic behavior of dislocations, it is limited in its ability to describe mechanical behaviors that occur near dislocation cores. This limit of the continuum theory…

材料科学 · 物理学 2020-10-28 Soon Kim , Keonwook Kang , Sung Youb Kim

A continuum theory based on thermodynamics has been developed for modeling diffusional creep of polycrystalline solids. It consists of a coupled problem of vacancy diffusion and mechanics where the vacancy generation/absorption at grain…

材料科学 · 物理学 2019-11-18 M. Magri , G. Lemoine , L. Adam , J. Segurado

The interactions between dislocations and interface/grain boundaries, including dislocation absorption, transmission, and reflection, have garnered significant attention from the research community for their impact on the mechanical…

应用物理 · 物理学 2023-09-29 Jinxin Yu , Alfonso H. W. Ngan , David J. Srolovitz , Jian Han

Grain structure plays a key role in the mechanical properties of alloy materials. Engineering the grain structure requires a comprehensive understanding of the evolution of grain boundaries (GBs) when a material is subjected to various…

材料科学 · 物理学 2021-10-26 Junyan He , Nikhil Chandra Admal

Grain rotation and grain boundary (GB) sliding are two important mechanisms for grain coarsening and plastic deformation in nanocrystalline materials. They are in general coupled with GB migration and the resulting dynamics, driven by…

材料科学 · 物理学 2014-12-30 Anup Basak , Anurag Gupta

Using a recently developed continuum theory of dislocation dynamics, we derive three new predictions about plasticity and grain boundary formation in crystals. (1) There will be a residual stress jump across grain boundaries and…

无序系统与神经网络 · 物理学 2007-05-23 Surachate Limkumnerd James P. Sethna

Dislocations are the main carriers of the permanent deformation of crystals. For simulations of engineering applications, continuum models where material microstructures are represented by continuous density distributions of dislocations…

材料科学 · 物理学 2018-03-02 Xiaohua Niu , Yichao Zhu , Shuyang Dai , Yang Xiang

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…

材料科学 · 物理学 2025-05-08 Jinxin Yu , Alfonso H. W. Ngan , David J. Srolovitzb , Jian Hana

The thermodynamic theory of dislocation/grain boundary interaction, including dislocation pile-up against, absorption by, and transfer through the grain boundary, is developed for nonuniform plastic deformations in polycrystals. The case…

材料科学 · 物理学 2022-03-14 Yinguang Piao , Khanh Chau Le

Low-angle grain boundaries (LAGBs) are often regarded as penetrable interfaces to dislocation motion, yet recent studies suggest they can also act as strong barriers. The origin of this duality remains debated, particularly regarding the…

材料科学 · 物理学 2025-10-02 Shuai Zhang , Zhishun Chen , Zhuoming Xie , Jun Song , Huiqiu Deng , Wangyu Hu , Jie Hou

The dynamical mechanisms underlying the grain evolution and growth are of fundamental importance in controlling the structural properties of large-scale polycrystalline materials, but the effects of lattice ordering and distinct atomic…

材料科学 · 物理学 2022-01-03 Brendon Waters , Zhi-Feng Huang

Recent experiments, atomistic simulations, and theoretical predictions have identified various new types of grain boundary motions that are controlled by the dynamics of underlying microstructure of line defects (dislocations or…

材料科学 · 物理学 2024-11-26 Luchan Zhang , Xiaoxue Qin , Yang Xiang

In continuum models of dislocations, proper formulations of short-range elastic interactions of dislocations are crucial for capturing various types of dislocation patterns formed in crystalline materials. In this article, the continuum…

材料科学 · 物理学 2016-08-12 Yichao Zhu , Xiaohua Niu , Yang Xiang

A curve shortening equation related to the evolution of grain boundaries is presented. This equation is derived from the grain boundary energy by applying the maximum dissipation principle. Gradient estimates and large time asymptotic…

偏微分方程分析 · 数学 2021-12-22 Masashi Mizuno , Keisuke Takasao

Coarse-grained descriptions of dislocation motion in crystalline metals inherently represent a loss of information regarding dislocation-dislocation interactions. In the present work, we consider a coarse-graining framework capable of…

材料科学 · 物理学 2020-12-21 Joseph Anderson , Anter El-Azab
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