DISPLACEMENT AND STRESS FIELDS OF HEXAGONAL NETWORKS OF INTRINSIC DISLOCATIONS ALONG A PLANAR EPILAYER / SUBSTRATE INTERFACE

摘要

The displacement and stress fields were derived from Fourier analysis for hexagonal network of dislocation, which are periodic in two-dimensions. Analytical solutions were obtained within the framework of isotropic elasticity theory for a situation in which one of the media tends to infinity and the other is, of thickness of h. By employing appropriate boundary conditions, the coefficients of displacement and stress fields have been found. These coefficients clearly show that the displacement and stress fields depend on h (thickness), mu (shear modulus), nu (Poisson's ratio), the geometry of the network of dislocations and Burgers vectors.