Equilibrium position of misfit dislocation dipole and critical parameters of buried strained nanoscale inhomogeneity in system of viscoelastic matrix

Abstract

A theoretical model was suggested which describes the generation of the misfit dislocation dipole in the system of the viscoelastic matrix containing a circular stiff nanoscale inhomogeneity. The critical condition of misfit dislocation dipole and the solution of equilibrium position were given. The influence of the ratio of shear modulus, the misfit strain and viscosity on the equilibrium of the dislocation and critical parameter of inhomogeneity was investigated. The result shows that the equilibrium position d_e increases with the increase of the ratio of original shear modulus and the effect decreases with the increase of viscosity of matrix. Along with the increase of viscosity of matrix, d_e first increases and then decreases and possesses maximum value when t=0.3τ and tends to a stable value when t⩾1.0z. Along with the increase of viscosity of matrix, R_c first decreases and then increases and possesses minimum value when t=0.3τ and tends to a stable value when t⩾1.0τ.

Keywords

nanoscale inhomogeneity / viscoelastic / misfit strain / misfit dislocation dipole / critical condition