ELECTROELASTIC INTERACTION BETWEEN A PIEZOELECTRIC SCREW DISLOCATION AND A CIRCULAR INHOMOGENEITY WITH INTERFACIAL CRACKS

Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (12): 1428-1436.

ELECTROELASTIC INTERACTION BETWEEN A PIEZOELECTRIC SCREW DISLOCATION AND A CIRCULAR INHOMOGENEITY WITH INTERFACIAL CRACKS

刘又文, 方棋洪

Department of Engineering Mechanics, Hunan University, Changsha 410082, P. R. China

收稿日期:2003-03-23 修回日期:2004-06-08 出版日期:2004-12-18 发布日期:2004-12-18
基金资助:
the National Natural Science Foundation of China (10272009);the Natural Science Foundation of Hunan Province, P. R. China (02JJY2014)

ELECTROELASTIC INTERACTION BETWEEN A PIEZOELECTRIC SCREW DISLOCATION AND A CIRCULAR INHOMOGENEITY WITH INTERFACIAL CRACKS

LIU You-wen, FANG Qi-hong

Department of Engineering Mechanics, Hunan University, Changsha 410082, P. R. China

Received:2003-03-23 Revised:2004-06-08 Online:2004-12-18 Published:2004-12-18
Supported by:
the National Natural Science Foundation of China (10272009);the Natural Science Foundation of Hunan Province, P. R. China (02JJY2014)

摘要/Abstract

摘要： A piezoelectric screw dislocation in the matrix interacting with a circular inhomogeneity with interfacial cracks under antiplane shear and in-plane electric loading at infinity was dealt with. Using complex variable method, a general solution to the problem was presented. For a typical case, the closed form expressions of complex potentials in the inhomogeneity and the matrix regions and the electroelastic field intensity factors were derived explicitly when the interface contains single crack. The image force acting on the piezoelectric screw dislocation was calculated by using the perturbation technique and the generalized Peach-Koehler formula. As a result, numerical analysis and discussion show that the perturbation influence of the interfacial crack on the interaction effects of the dislocation and the inhomogeneity is significant which indicates the presence of the interfacial crack will change the interaction mechanism when the length of the crack goes up to a critical value. It is also shown that soft inhomogeneity can repel the dislocation due to their intrinsic electromechanical coupling behavior.

Abstract: A piezoelectric screw dislocation in the matrix interacting with a circular inhomogeneity with interfacial cracks under antiplane shear and in-plane electric loading at infinity was dealt with. Using complex variable method, a general solution to the problem was presented. For a typical case, the closed form expressions of complex potentials in the inhomogeneity and the matrix regions and the electroelastic field intensity factors were derived explicitly when the interface contains single crack. The image force acting on the piezoelectric screw dislocation was calculated by using the perturbation technique and the generalized Peach-Koehler formula. As a result, numerical analysis and discussion show that the perturbation influence of the interfacial crack on the interaction effects of the dislocation and the inhomogeneity is significant which indicates the presence of the interfacial crack will change the interaction mechanism when the length of the crack goes up to a critical value. It is also shown that soft inhomogeneity can repel the dislocation due to their intrinsic electromechanical coupling behavior.

中图分类号:

刘又文;方棋洪. ELECTROELASTIC INTERACTION BETWEEN A PIEZOELECTRIC SCREW DISLOCATION AND A CIRCULAR INHOMOGENEITY WITH INTERFACIAL CRACKS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(12): 1428-1436.

LIU You-wen;FANG Qi-hong . ELECTROELASTIC INTERACTION BETWEEN A PIEZOELECTRIC SCREW DISLOCATION AND A CIRCULAR INHOMOGENEITY WITH INTERFACIAL CRACKS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(12): 1428-1436.

参考文献

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ELECTROELASTIC INTERACTION BETWEEN A PIEZOELECTRIC SCREW DISLOCATION AND A CIRCULAR INHOMOGENEITY WITH INTERFACIAL CRACKS

ELECTROELASTIC INTERACTION BETWEEN A PIEZOELECTRIC SCREW DISLOCATION AND A CIRCULAR INHOMOGENEITY WITH INTERFACIAL CRACKS

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