Analysis Of A Wedge Disclination Dipole Interacting With A Circular Nano Inhomogeneity

At present, one of the most popular research is focused on the interaction between a wedge disclination dipole and a circular nano inhomogeneity in alloy nano materials and composite materials. The study has important theoretical significance and scientific value for discussing defects such as crack, twins in the nano materials and composite materials. And the study is one of the most popuar areas in the present research.This paper has investigated the interaction between a wedge disclination dipole and a circular nano inhomogeneity embedded in an infinite matrix. According to the condition that inhomogeneity-matrix interface has continual displacement and stress, and applying complex variable function method for solving the problem, we will resolve the complex function of the problem. The achievements in detail are expressed as follows.When the wedge disclination dipole in the matrix, the interaction between a wedge disclination dipole and a circular nano inhomogeneity is investigated. According to inhomogeneity-matrix interface displacement and stress continuity conditions, the use of complex variable function method for solving the problem, and having the complex function of the problem. The influence of the materials constants between the inhomogentiy and matrix, interfacial parameter, the distance between disclination dipole and inhomogeneity, angle of the disclination dipole, disclination dipole arm on the interaction between a wedge disclination dipole and a circular nano inhomogeneity are systematically studied.When the wedge disclination dipole in the inhomogeneity, the interaction between a wedge disclination dipole and a circular nano inhomogeneity is investigated. According to inhomogeneity-matrix interface displacement and stress continuity conditions, the use of complex variable function method for solving the problem, and having the complex function of the problem. The influence of the materials constants between the inhomogentiy and matrix, interfacial parameter, the distance between disclination dipole and inhomogeneity, angle of the disclination dipole, disclination dipole arm on the interaction between a wedge disclination dipole and a circular nano inhomogeneity are systematically studied.When the wedge disclination in the nanowire, the interaction between a wedge disclination and a nanowire is investigated. The influence of the position of wedge disclination, the radius of nanowire on the interaction between wedge disclination and nanowire is investigated.