THE INTERACTION BETWEEN A SCREW DISLOCATION INSIDE THE INHOMOGENEITY AND AN ELASTIC ELLIPTICAL INHOMOGENEITY WHICH CONTAINS A CONFOCAL RIGID CORE UNDER LONGITUDINAL SHEAR
Abstract：Abstract The interaction between a screw dislocation inside the inhomogeneity and an elastic elliptical inhomogeneity which contains a confocal rigid core under longitudinal shear is investigated. By using the technical of conformal mapping and the method of analytic continuation, the stress fields of matrix and inhomogeneity is obtained explicitly in the series form, and the image force acting on the screw dislocation is obtained. The maximum interfacial stresses and the ratio of the two elliptical interfaces under longitudinal shear are calculated. As a result, the analysis and discussion show that the influence of the rigid core on the interaction effects between a screw dislocation and an elliptical inhomogeneity is significant. It can repel the dislocation , and make it reach the interface of the elastic inclusion constantly when the inhomogeneity is stiff. If the inhomogeneity is soft, there is a stable equilibrium position. As the dislocation is in between the rigid core and the stable equilibrium position , the dislocation will shift near the interface of the elastic inclusion. When the dislocation is in between the stable equilibrium position and the interface of the elastic inclusion , the dislocation will leave away from the interface. The result also show that the ratio of the long and short axes of the inhomogeneity has the noticeable influence on the interaction between the screw dislocation and the inhomogeneity. When the dislocation is on the nearby rigid core, the repulsive force of the core to the dislocation decreased significantly with the ratio of the long and short axes of the inhomogeneity decreases.
2011, Vol. 32 
