A point force and an edge dislocation in an elliptical inclusion embedded in an infinite medium

1995 ◽  
Vol 71 (4) ◽  
pp. 311-322 ◽  
Author(s):  
Dai-Heng Chen
Keyword(s):  
Edge Dislocation ◽  
Infinite Medium ◽  
Point Force ◽  
Elliptical Inclusion

Arbitrarily Oriented Crack Inside an Elliptical Inclusion

1993 ◽  
Vol 60 (3) ◽  
pp. 589-594 ◽  
Author(s):  
G. Anlas ◽  
M. H. Santare
Keyword(s):  
Integral Equations ◽  
Plane Problem ◽  
Green's Function ◽  
Singular Integral ◽  
Edge Dislocation ◽  
Singular Integral Equations ◽  
Complex Potentials ◽  
Elliptic Inclusion ◽  
Elliptical Inclusion ◽  
Arbitrarily Oriented Crack

The plane problem of an elastic elliptic inclusion containing a crack is solved. Complex potentials presented by Qaissaunee (1992) for an edge dislocation inside an elastic elliptical inclusion are used to obtain the Green’s function for this problem. The problem is formulated in terms of systems of singular integral equations which are solved numerically. Some detailed results are given for various crack inclusion geometries and material combinations.

Interaction Between an Edge Dislocation and a Rigid Elliptical Inclusion

1986 ◽  
Vol 53 (2) ◽  
pp. 382-385 ◽  
Author(s):  
M. H. Santare ◽  
L. M. Keer
Keyword(s):  
Rigid Body ◽  
Edge Dislocation ◽  
Complex Potential ◽  
Closed Form Solution ◽  
Elastic Field ◽  
Form Solution ◽  
Two Dimensional ◽  
Elliptical Inclusion ◽  
Contour Plots ◽  
Rigid Elliptical Inclusion

A solution is presented for the two-dimensional elastic field created by the interaction of an edge dislocation with a rigid elliptical inclusion. The complex potential approach by Muskhelishvili is used and a closed-form solution is obtained. Contour plots for the glide component of the Peach–Koehler forces are presented. Particular attention is paid to the rigid body of the inclusion with respect to the dislocation.

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