期刊
PHILOSOPHICAL MAGAZINE
卷 94, 期 16, 页码 1764-1787出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/14786435.2014.896081
关键词
Field Dislocation Mechanics; internal stresses; periodic microstructure; Fourier transform; infinite bicrystal; zero-stress dislocation distributions
类别
资金
- Labex MEC
- A*Midex [ANR-11-LABX-0092, ANR-11-IDEX-0001-02]
This paper investigates the implementation of Field Dislocation Mechanics (FDM) theory for media with a periodic microstructure (i.e. the Nye dislocation tensor and the elastic moduli tensor are considered as spatially periodic continuous fields). In this context, the uniqueness of the stress and elastic distortion fields is established. This allows to propose an efficient numerical scheme based on Fourier transform to compute the internal stress field, for a given spatial distribution of dislocations and applied macroscopic stress. This numerical implementation is assessed by comparison with analytical solutions for homogeneous as well as heterogeneous elastic media. A particular insight is given to the critical case of stress-free dislocation microstructures which represent equilibrium solutions of the FDM theory.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据