Modification of the Peierls–Nabarro model for misfit dislocation
Zhang Shujun, Wang Shaofeng
       

(a) Comparison of the left-hand side (red dashed curve) and right-hand side (blue solid curve) of Eq. (9) for fitting parameters g = 1.3735, c1=0.0569, and c2=0.0985. (b) Application of the dislocation density to compare the differences between the solution of the equation of Zhang et al.[11] and that of Eq. (9). The blue dashed curve represents the dislocation density of Eq. (9) in the case Ω̃xx(2)=0,γm=1.0674  eV, and δx=0, and the solid curve represents the dislocation density from Eq. (9) in the case Ω̃xx(2)0,γm=0.6402  eV, and δx=0.6503. (c) Comparison of the left-hand side (red dashed curve) and right-hand side (blue solid curve) of Eq. (10) for fitting parameters cy1=0.040, cy2=-0.3833, and g1=1.74. (d) Change in interfacial spacing uyr induced by misfit dislocation.