Situating the Vector Density Approach Among Contemporary Continuum Theories of Dislocation Dynamics

IF 1.5 4区 材料科学 Q3 ENGINEERING, MECHANICAL
J. Anderson, Vignesh Vivekanandan, Peng Lin, K. Starkey, Yash Pachaury, A. El-Azab
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引用次数: 0

Abstract

For the past century, dislocations have been understood to be the carriers of plastic deformation in crystalline solids. However, their collective behavior is still poorly understood. Progress in understanding the collective behavior of dislocations has primarily come in one of two modes: the simulation of systems of interacting discrete dislocations and the treatment of density measures of varying complexity that are considered as continuum fields. A summary of contemporary models of continuum dislocation dynamics is presented. These include, in order of complexity, the two-dimensional statistical theory of dislocations, the field dislocation mechanics treating the total Kröner–Nye tensor, vector density approaches that treat geometrically necessary dislocations on each slip system of a crystal, and high-order theories that examine the effect of dislocation curvature and distribution over orientation. Each of theories contain common themes, including statistical closure of the kinetic dislocation transport equations and treatment of dislocation reactions such as junction formation. An emphasis is placed on how these common themes rely on closure relations obtained by analysis of discrete dislocation dynamics experiments. The outlook of these various continuum theories of dislocation motion is then discussed.
矢量密度法在当代位错动力学连续统理论中的定位
在过去的一个世纪里,位错被认为是结晶固体塑性变形的载体。然而,人们对它们的集体行为仍然知之甚少。在理解位错的集体行为方面的进展主要来自两种模式之一:相互作用的离散位错系统的模拟和被认为是连续场的不同复杂性的密度测量的处理。对连续位错动力学的现代模型进行了综述。这些理论包括,按复杂程度排序,位错的二维统计理论,处理总Kröner-Nye张量的场位错力学,处理晶体每个滑移系统上几何上必要的位错的矢量密度方法,以及检查位错曲率和分布对取向的影响的高阶理论。每个理论都包含共同的主题,包括动力学位错输运方程的统计闭合和位错反应(如结形成)的处理。重点放在如何这些共同的主题依赖于封闭关系的分析离散位错动力学实验。然后讨论了这些不同的位错运动连续统理论的前景。
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来源期刊
CiteScore
3.00
自引率
0.00%
发文量
30
审稿时长
4.5 months
期刊介绍: Multiscale characterization, modeling, and experiments; High-temperature creep, fatigue, and fracture; Elastic-plastic behavior; Environmental effects on material response, constitutive relations, materials processing, and microstructure mechanical property relationships
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