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Title: The material force acting on a screw dislocation in the presence of a multi-layered circular inclusion
Authors: Honein, Elie 
Rai, Habib 
Najjar, Michel
Affiliations: Department of Mechanical Engineering 
Department of Mechanical Engineering 
Department of Mechanical Engineering 
Keywords: Material force
Screw dislocation
Anti-plane elasticity
Circularly cylindrical
Layered media
Issue Date: 2006
Part of: International journal of solids and structures
Volume: 43
Issue: 7-8
Start page: 2422
End page: 2440
In this paper, we study the interaction of a screw dislocation with a multi-layered interphase between a circularly cylindrical inclusion and a matrix. The layers are coaxial cylinders of annular cross-sections with arbitrary radii and different shear moduli. The number of layers may also be arbitrary. Continuity of traction and displacement across all interfaces is assumed. We extend Honein et al.s solution of circularly cylindrical layered media in anti-plane elastostatics to the case where all the singularities reside inside the inclusion core. The solution to this heterogeneous problem is given explicitly, for arbitrary singularities, as a rapidly convergent Laurent series, whose coefficients are expressed in terms of those of the complex potential of a corresponding homogeneous problem with the same singularities. We then consider the two particular cases of a screw dislocation, where, in the first instance, the dislocation resides inside the matrix, while, in the second instance, it is located in the inclusion core. In both instances, the Peach–Koehler force acting on the dislocation is calculated explicitly as a rapidly convergent series. We present several examples, where the effect of the layers on the material force is examined.
DOI: 10.1016/j.ijsolstr.2005.05.054
Ezproxy URL: Link to full text
Type: Journal Article
Appears in Collections:Department of Mechanical Engineering

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