Dipole of edge misfit dislocations and critical radius conditions for buried strained cylindrical inhomogeneity

Abstract

A theoretical model is proposed for elastic stress relaxation of a buried strained cylindrical inhomogeneity, which assumes the edge misfit dislocation dipole formation in the soft matrix at some distance from the interface. The critical radius of the inhomogeneity for the formation of the edge misfit dislocation dipole is given and the influence of various parameters on the critical radius is evaluated. The result indicates that the critical radius decreases with increasing misfit strain and core radius of the misfit dislocation. It is also found that, compared to the edge misfit dislocation dipole formation in the interface, the critical radius of the inhomogeneity decreases when the location of an edge misfit dislocation dipole formation is in the soft matrix at some distance from the interface.

Keywords:

• dislocations
• elasticity
• cylindrical inhomogeneity
• model

Acknowledgements

The authors appreciate the support of the NNSFC (50801025, 50634060 and 10872065), China Postdoctoral Science Foundation funded project (20080430151) and the PhD Programs Foundation of Ministry of Education of China (200805321015).