Dislocation pile-ups, slip-bands, ellipsoids, and cracks

被引:12
作者
Brown, LA [1 ]
机构
[1] Univ Cambridge, Cavendish Lab, Cambridge CB3 0HE, England
来源
MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING | 2005年 / 400卷 / 1-2 SUPPL.期
关键词
dislocations; pile-ups; slip-bands; ellipsoids;
D O I
10.1016/j.msea.2005.03.043
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
The classic theories of dislocation pile-ups, initiated by Eshelby, Frank and Nabarro, and by Leibfried, can be greatly simplified if it is recognised that the dislocations in the pile-up will experience uniform stress if they are lodged in an ellipsoidal interface. Elementary algebra then produces the familiar results from continuum theory. It seems possible that the ellipsoid construction may represent physical reality if it is taken to represent a three-dimensional slip-band. If so, there are concentrated forces spreading the band perpendicular to the slip band as well as parallel to it. Such ellipsoids also represent Mode II and Mode III cracks, and give a method for dealing with the more complicated Mode I cracks. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:2 / 6
页数:5
相关论文
共 16 条
[1]  
[Anonymous], 1992, THEORY DISLOCATIONS
[2]   WORK-HARDENING DUE TO INTERNAL STRESSES IN COMPOSITE-MATERIALS [J].
BROWN, LM ;
CLARKE, DR .
ACTA METALLURGICA, 1975, 23 (07) :821-830
[3]  
BROWN LM, 2003, T ROY SOC S AFR, V58, P103
[4]  
BROWN LM, 2002, DISLOCATIONS SOLIDS, V11, pR43
[5]  
ESHELBY JD, 1951, PHILOS MAG, V42, P351
[6]   THE DETERMINATION OF THE ELASTIC FIELD OF AN ELLIPSOIDAL INCLUSION, AND RELATED PROBLEMS [J].
ESHELBY, JD .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1957, 241 (1226) :376-396
[7]  
ESHELBY JD, 1961, PROGR SOLID MECH, V2, P87
[8]  
Friedel J., 1964, Dislocations, DOI DOI 10.1016/C2013-0-02250-5
[9]  
HIRSCH PB, 2002, DISLOCATIONS SOLIDS, V11, P25
[10]   ELASTIC FIELDS OF INCLUSIONS IN ANISOTROPIC MEDIA [J].
KINOSHITA, N ;
MURA, T .
PHYSICA STATUS SOLIDI A-APPLICATIONS AND MATERIALS SCIENCE, 1971, 5 (03) :759-+