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ANALYSIS OF A SCREW DISLOCATION INSIDE A CIRCULAR INCLUSION WITH INTERFACIAL CRACKS IN PIEZOELECTRIC COMPOSITES
作者姓名:ZHENG  Jian-long
作者单位:School of Highway Engineering,Changsha University of Science and Technology,Department of Engineering Mechanics,Hunan University,Department of Engineering Mechanics,Hunan University Changsha 410076,P.R.China,Changsha 410082,P.R.China,Changsha 410082,P.R.China
基金项目:Project supported by the National Natural Science Foundation of China (No. 10472030)
摘    要:IntroductionPiezoelectric materials have potentials for use in many modern devices and compositestructures. The presence of various defects, such as inclusions, holes, dislocations andcracks, can greatly influence their characteristics and coupled behavio…

关 键 词:螺丝钉  断层  表面破裂  复合变量
文章编号:0253-4827(2005)08-1047-09
收稿时间:2003-10-14
修稿时间:2005-03-22

Analysis of a screw dislocation inside a circular inclusion with interfacial cracks in piezoelectric composites
Zheng Jian-long,Fang Qi-hong,Liu You-wen.ANALYSIS OF A SCREW DISLOCATION INSIDE A CIRCULAR INCLUSION WITH INTERFACIAL CRACKS IN PIEZOELECTRIC COMPOSITES[J].Applied Mathematics and Mechanics(English Edition),2005,26(8):1047-1055.
Authors:Zheng Jian-long  Fang Qi-hong  Liu You-wen
Institution:1. School of Highway Engineering, Changsha University of Science and Technology, Changsha 410076, P. R. China
2. Department of Engineering Mechanics, Hunan University, Changsha 410082, P. R. China
Abstract:The electroelastic interaction of a screw dislocation inside a circular inclusion with interfacial cracks in piezoelectric composite materials under anti-plane shear and in-plane electric loads at infinity is investigated. The general solution to this problem was obtained by means of Riemann-Schwarz's symmetry principle integrated with analysis of singularities of corresponding complex potentials. As a typical example, closed form expressions of the complex potentials and electroelastic field components in the matrix and inhomogeneity regions were derived explicitly when the interface contains a single crack. The image force acting on the screw dislocation was calculated by using the generalized Peach-Koehler formula. The influence of interfacial crack geometry and piezoelectric material property combinations upon the image force was discussed in detail. The results show that interfacial crack has a significant perturbation effect on the image force and the equilibrium position of the screw dislocation. The presence of the interfacial crack can change the direction of the image force when the length of the crack goes up to a critical value. The obtained explicit solutions can be used as Green's functions to study the problem on the interaction between interfacial cracks and arbitrary shape crack inside the inclusion. The present solutions can lead to previously known results as the special case. Project supported by the National Natural Science Foundation of China (No. 10472030
Keywords:screw dislocation  interfacial crack  complex variable method  image force
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