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Stress and Dilatation Fields of the ⟨111⟩ Dislocation in Cubic Crystals

 

作者: Y. T. Chou,   T. E. Mitchell,  

 

期刊: Journal of Applied Physics  (AIP Available online 1967)
卷期: Volume 38, issue 4  

页码: 1535-1540

 

ISSN:0021-8979

 

年代: 1967

 

DOI:10.1063/1.1709719

 

出版商: AIP

 

数据来源: AIP

 

摘要:

Exact expressions of the stress components and dilatation of a straight dislocation, lying in a ⟨111⟩ direction in a cubic crystal, have been obtained analytically. The transitions in the contours of stress and dilatation fields are found to be controlled by an elastic anisotropy parameterR. For bcc crystals, the transition of &sgr;23contours of a screw dislocation takes place atR=(32)1/2and that of &sgr;13contours atR=3 (for W, Ta, V, Cr, Mo, Nb, and Fe,R<(32)1/2; for Na, K, Li,(32)1/2<R<3). The results of the stress analysis are useful in treating the dissociation of screw dislocations in the bcc lattice.The dilatation contours of a [111] dislocation of the mixed type with Burgers vectora/2[111¯] are illustrated. The differences in shape of the contours for the anisotropic and isotropic cases are greater for the pure edge dislocation than for the mixed‐type dislocation.

 

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