Behavior of an Edge Dislocation near a Bimetallic Interface

Interfacial dislocation and its applications to interface cracks in anisotropic bimaterials

“…The tractions induced by these line forces, as being integrated along a closed curve encircling the dislocation, cancel due to (3.14). Equation (3.21) also indicates that the integrated traction along the interface is non-vanishing, a phenomenon first observed by Dundurs and Sendeckyj [25] for isotropic bimaterials and later extended to the anisotropic case by Barnett and Lothe [ 10]. Obviously, the delta-function term vanishes if W = 0.…”

Quasidislocations in anisotropic bicrystals

“…Perhaps a displacement discontinuity in a third crystal glued to the bicrystal over a plane normal to the bicrystal interface, would excite a quasidislocation as it impinges on the bicrystal. This is a qualitative simple discussion, ignoring boundary conditions at external surfaces that are always present in real cases and which may be quite important for quasidislocations which have long range stress fields like real interface dislocations [11,2].…”

Elastic reciprocity and symmetry constraints on the stress field due to a surface-parallel distribution of dislocations

“…With reference to Figure 1, the point of disagreement is whether, at a point along the x axis, the change of the surface-normal stress σ yy due to the dislocation of Figure 1a is opposite or equal to the change of shear stress σ yx due to the dislocation of Figure 1b, for the same magnitude of Burgers vector (displacement discontinuity) in both 1a and 1b. The original solution of the dislocation problem by Head (1953), consistently with an independent solution by Dundurs and Sendecky (1965), indicated the relation to be opposite (as drawn in Figure 1). However, among his influential body of work on reducing crack and contact problems to singular integral equations and devising effective numerical solution techniques, one special case addressed by Erdogan (1969) required that same dislocation solution.…”