Modeling dislocation by coupling Peierls-Nabarro and element-free Galerkin methods

Christophe Denoual

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Modeling dislocation by coupling Peierls-Nabarro and element-free Galerkin methods

机译：通过耦合Peierls-Nabarro和无元素Galerkin方法对位错进行建模

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摘要

A new method to describe dislocations within the framework of the element-free Galerkin method is presented. Based on the Peierls-Nabarro concept of balancing the elastic energy with an inter-planar potential, the method naturally leads to dislocation core spreading on the glide planes. A weak formulation compatible with the Time-Dependent Ginzburg-Landau relaxation mechanism is presented and its implementation discussed. As an example, the modeling of the complex core structure of a screw dislocation in tantalum by using 15 glide planes is presented and its Peierls stress calculated.

机译：提出了一种在无元素Galerkin方法框架内描述位错的新方法。基于Peierls-Nabarro平衡弹性能量和平面间电位的概念，该方法自然会导致位错核心在滑行平面上扩散。提出了一种与时变的Ginzburg-Landau松弛机制兼容的弱公式，并讨论了其实现。例如，提出了使用15个滑行面对钽中的螺丝位错的复杂核心结构进行建模的方法，并计算了其Peierls应力。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2007年第16期|p.1915-1923|共9页
作者
Christophe Denoual;
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作者单位

CEA-DAM IdF, Departement de Physique Theorique et Appliquee, F-91680 Bruyeres le Chatel Cedex, France;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化基础理论;工程基础科学;
关键词
element-free galerkin methods; peierls-nabarro model; dislocation dynamics;

机译：无元素Galerkin方法;Peierls-nabarro模型;位错动力学;

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Modeling dislocation by coupling Peierls-Nabarro and element-free Galerkin methods

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