Interaction between a screw dislocation and an elastic elliptical inhomogeneity with interfacial cracks  

作　　者：QihongFang YouwenLiu ChipingJiang 

机构地区：[1]DepartmentofEngineeringMechanics,HunanUniversity,Changsha410082,China [2]SolidMechanicsResearchCenter,BeijingUniversityofAeronauticsandAstronautics,Beijing100083,China

出　　处：《Acta Mechanica Sinica》2005年第2期151-159,共9页力学学报（英文版）

基　　金：The project supported by the National Natural Science Foundation of China(10272009 and 10472030);the Natural Science Foundation of Hunan Province(02JJY2014)

摘　　要：The elastic interaction between a screw dislocation and an elliptical inhomogeneity with interfacial cracks is studied. The screw dislocation may be located outside or inside the inhomogeneity. An efficient complex variable method for the complex multiply connected region is developed, and the general solutions to the problem are derived. As illustrative examples, solutions in explicit series form for complex potentials are presented in the case of one or two interfacial cracks. Image forces on the dislocation are calculated by using the Peach-Koehler formula. The influence of crack geometries and material properties on the image forces is evaluated and discussed. It is shown that the interfacial crack has a significant effect on the equilibrium position of the dislocation near an elliptical-arc interface. The main results indicate, when the length of the crack goes up to a critical value, the presence of the interfacial crack can change the interaction mechanism between a screw dislocation and an elliptical inclusion. The present solutions can include a number of previously known results as special cases.The elastic interaction between a screw dislocation and an elliptical inhomogeneity with interfacial cracks is studied. The screw dislocation may be located outside or inside the inhomogeneity. An efficient complex variable method for the complex multiply connected region is developed, and the general solutions to the problem are derived. As illustrative examples, solutions in explicit series form for complex potentials are presented in the case of one or two interfacial cracks. Image forces on the dislocation are calculated by using the Peach-Koehler formula. The influence of crack geometries and material properties on the image forces is evaluated and discussed. It is shown that the interfacial crack has a significant effect on the equilibrium position of the dislocation near an elliptical-arc interface. The main results indicate, when the length of the crack goes up to a critical value, the presence of the interfacial crack can change the interaction mechanism between a screw dislocation and an elliptical inclusion. The present solutions can include a number of previously known results as special cases.

关 键 词：Interfacial cracks Screw dislocation Elliptical inhomogeneity Image force Complex variable method 

分 类 号：TG111.91[金属学及工艺—物理冶金]