Edge Dislocations near Phase Boundaries in the Gradient Theory of Elasticity
Document Type
Article
Publication Date
1-1-2000
Abstract
A solution of the boundary-value problem in the gradient theory of elasticity concerning a rectilinear edge dislocation parallel to the interface between phases with different elastic moduli and gradient coefficients is obtained. The interaction between the dislocation and the interface is considered on a nanoscopic level. It is shown that the stress field has no singularities on the dislocation line and remains continuous at the interface, unlike the classical solution, which is singular at the dislocation line and allows a discontinuity of two stress components at the interface. The gradient solution also removes the classical singularity of the image force for the dislocation on the interface. An additional elastic image force associated with the difference in the gradient coefficients of contacting phases is also determined. It is found that this force, which has a short range and a maximum at the interface, expels the edge dislocation into the material with a smaller gradient coefficient. © 2000 MAIK "Nauka/Interperiodica".
Publication Title
Physics of the Solid State
Recommended Citation
Mikaelyan, K.,
Gutkin, M.,
&
Aifantis, E.
(2000).
Edge Dislocations near Phase Boundaries in the Gradient Theory of Elasticity.
Physics of the Solid State,
42(9), 1659-1667.
http://doi.org/10.1134/1.1309447
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/12325