A New Approach to the Effect of Elastic Distortions Produced by Dislocation Loops in an Infinite Anisotropic Medium on Moiré Fringes

The elastic distortion fields, and their Taylor's series expansions, produced by the discrete elliptical dislocation loop in an infinitely extended, elastically homogeneous and anisotropic medium are derived by using the derivatives of the elastic Green's tensor. The results are given as two line integrals. The obtained Taylor's series of the distortion fields could be used at any point near the origin of the coordinate system. Numerical results for the effect of the elastic distortions in copper on the rotation angles of Moiré fringes are obtained from the first three and first five terms of Taylor's series. It is seen that, to explain the effect of the elastic distortion fields caused by the discrete dislocation loop on the rotation angles of Moiré fringes, the first three terms of Taylor's series are sufficient.