Interaction of a screw dislocation with a crack in an anisotropic body

1991 ◽  
Vol 6 (12) ◽  
pp. 2578-2584 ◽  
Author(s):  
Tong-Yi Zhang ◽  
J.E. Hack

The stress field, image force, and shielding effect of a screw dislocation in the vicinity of a Mode III crack were formulated for both semi-infinite and finite length cracks. The results show that there is an abnormal stress component, ŝ31, on the crack plane. This leads to a nonzero image force along the axis perpendicular to the crack plane when the dislocation is located on the crack plane. However, the abnormal stress component and image force disappear for orthotropic and isotropic media. The image force along a slip plane has the same expression as in isotropic media with an effective shear modulus. Generally the shielding effects are the same as in isotropic media. The anisotropy changes only the magnitude of the shielding effects. The case of multiple dislocations is also discussed.

1998 ◽  
Vol 539 ◽  
Author(s):  
A.H.W. Ngan ◽  
H.F. Zhang

AbstractThe generalised Peierls-Nabarro model is used to study the transformation of screw dislocation cores from the three-fold, non-planar state to the planar, glissile state ahead of a mode mll crack tip.


2020 ◽  
Vol 25 (10) ◽  
pp. 1896-1903
Author(s):  
Xu Wang ◽  
Ping Yang ◽  
Peter Schiavone

We derive an analytic solution to the problem of a screw dislocation interacting with a parabolic cavity and a semi-infinite sharp crack using conformal mapping techniques and the method of images. Closed-form expressions for the image force acting on the screw dislocation, the mode III stress intensity factor at the crack tip and the generalized mode III stress intensity factor for the parabolic cavity are obtained. The correctness of the solution is validated by comparison with existing solutions in the literature.


1996 ◽  
Vol 44 (11) ◽  
pp. 4513-4520 ◽  
Author(s):  
Tong-Yi Zhang ◽  
Cai-Fu Qian

1996 ◽  
Vol 33 (30) ◽  
pp. 4531-4559 ◽  
Author(s):  
I. Vardoulakis ◽  
G. Exadaktylos ◽  
E. Aifantis

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