The mean-field stress due to uniformly distributed shear dislocation loops in a finite sample

摘要

For a sample containing uniformly distributed shear dislocation loops, there is an interaction between the loops. In this paper the mean value of the interaction stress in a spherical sample is determined. For the constrained sample, the mean stress in the matrix is found using the Burgers equation; the stress inside the dislocation loops is found by approximating the dislocation loops as nearly flat sheared ellipsoids. For the relaxed sample, the image stress is used to render the sample surface traction-free. The net mean-field matrix stress in the sample is Gnbhrpi(2) (2 - v)/8(1 - v), where G is the shear modulus, r the loop radius, n the loop concentration, b the magnitude of the Burgers vector and h the glide plane spacing. [References: 16]