Elastic fields of a dislocation loop near a stress‐free surface

1978 ◽  
Vol 49 (9) ◽  
pp. 4953-4955 ◽  
Author(s):  
S. M. Ohr
Author(s):  
S. M. Ohr

The image contrast of dislocation loops computed in the past has made use of the displacement fields which do not take into account the presence of stress- free foil surfaces. The free surface modifies the elastic fields around a dislocation loop and hence can influence the image contrast observed in the electron microscope. The effect can be significant particularly when the loops lie close to one of the foil surfaces. In general, the elasticity problem of dislocation loops that takes the free surface into account is difficult to handle mathematically. In the present paper, the method of Bastecka1 was extended to obtain explicitly the analytical expressions for the displacement fields around a pure edge circular dislocation loop lying parallel to the foil surface. In this method, the stress fields of an image dislocation loop and another axially symmetric stress system were added in order to eliminate the normal as well as shear stresses at the surface.


2011 ◽  
Vol 509 (9) ◽  
pp. 4025-4034 ◽  
Author(s):  
Y. Greenbaum ◽  
D. Barlam ◽  
M.H. Mintz ◽  
R.Z. Shneck
Keyword(s):  

1989 ◽  
Vol 115 (2) ◽  
pp. K159-K162 ◽  
Author(s):  
A. E. Romanov ◽  
M. Hecker
Keyword(s):  

1975 ◽  
Vol 31 (2) ◽  
pp. 525-533 ◽  
Author(s):  
W. Jäger ◽  
M. Rühle ◽  
M. Wilkens

2005 ◽  
Vol 21 (2) ◽  
pp. 109-116 ◽  
Author(s):  
I. Demir ◽  
T.A. Khraishi

ABSTRACTThe elastic fields of a torsional dislocation loop in a homogeneous material are first derived. The solution is based on torsional symmetry. The stress and displacement solutions are then extended to the case of a torsional loop in a bi-material. A main utility of basic dislocation solutions is in fracture mechanics. In particular, circular loop solutions can be used in the modeling of both cylindrical and penny-shaped cracks. In the present study we use them to model a Mode III cylindrical crack via the application of a “distributed-dislocation technique”. Stress intensity factors at the crack tips are presented. The influences of crack radius and material pair on the stress intensity factor of interfacial cracks are investigated.


1971 ◽  
Vol 1 (2) ◽  
pp. 153-164 ◽  
Author(s):  
N. J. Salamon ◽  
J. Dundurs

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