Analysis of a screw dislocation interacting with an elliptical nano inhomogeneity

• Published in: International journal of engineering science 2009-09, Vol.47 (9), p.883-893
• Main Authors: Luo, J., Xiao, Z.M.
• Format: Article
• Language: English
• Subjects: Condensed matter: structure, mechanical and thermal properties; Conformal mapping; Defects and impurities in crystals; microstructure; Direct observation of dislocations and other defects (etch pits, decoration, electron microscopy, x-ray topography, etc.); Exact sciences and technology; Image force; Interface/surface stress effects; Nano inhomogeneity; Physics; Screw dislocation; Structure of solids and liquids; crystallography
• ISSN: 0020-7225; 1879-2197
• DOI: 10.1016/j.ijengsci.2009.05.007

The interaction between a screw dislocation and an elliptical nano inhomogeneity embedded in an infinite matrix is investigated. The interface stress effects of the nano inhomogeneity are accounted for with the Gurtin–Murdoch model. The stress fields inside the inhomogeneity and matrix are then solved with the complex variable and conformal mapping method. The solution is of semi-analytical nature and is verified by studying a degenerated case wherein a screw dislocation interacts with a circular nano inhomogeneity. The image force on the screw dislocation is then calculated. The influences of the elastic mismatch between the inhomogeneity and matrix, the interfacial properties, the aspect ratio of the elliptic nano inhomogeneity and the position of the screw dislocation on the image force are systematically discussed.