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.

• Articles • Previous Articles Next Articles

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)

Abstract

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.

2010 MSC Number:

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

TrendMD

References

[1] Deng W, Meguid S A. Analysis of a screw dislocation inside an elliptical inhomogeneity in piezoelectric solids[J]. International Journal Solids and Structures, 1999, 36(10):1449-1469.
[2] Meguid S A, Deng W. Electro-elastic interaction between a screw dislocation and elliptical inhomogeneity in piezoelectric materials[J]. International Journal Solids and Structures, 1998, 35(13):1467-1482.
[3] Huang Z, Kuang Z B. Dislocation inside a piezoelectric media with an elliptical inhomogeneity[J]. International Journal Solids and Structures, 2001, 38(46/47):8459-8480.
[4] Kattis M A, Providas E, Kalamkarov A L. Two-phone potentials in the analysis of smart composites having piezoelectric components[J]. Composites Part B, 1998, 29(1):9-14.
[5] LIU Jin-xi, JIANG Zhi-qing, FENG Wen-jie. On the electroelastic interaction of piezoelectric screw dislocation with an elliptical inclusion in piezoelectric materials[J]. Applied Mathematics and Mechanics (English Edition ), 2000, 21(11):1314-1319.
[6] Liu Y W, Fang Q H. A piezoelectric screw dislocation interacting with an interphase layer between a circular inclusion and the matrix[J]. International Journal of Solids and Structures, 2004, 41(11/12):3255-3274.
[7] Liu Y W, Fang Q H. Electroelastic interaction between a piezoelectric screw dislocation and circular inhomogeneity interfacial rigid lines[J]. International Journal of Solids and Structures, 2003, 40(20):5353-5370.
[8] Zhong Z, Meguid S A. Interfacial debonding of circular inhomogeneity in piezoelectric materials[J]. International Journal Solids and Structures, 1997, 34(16):1965-1983.
[9] WANG Xu, SHEN Ya-peng. Arc interface crack in a three-phase piez oelectric composites constitutive mode[J]. Acta Mechanica Solids Sinica, 2001, 22(4):329-342. (in Chinese).
[10] Jiang C P, Tong Z H, Chueng Y K. A generalized self-consistent method for piezoelectric fiber reinforced composites under anti-plane shear [J]. Mechanics of Materials, 2001, 33(5):295-308.
[11] Pak Y E. Force on piezoelectric screw dislocation[J]. Journal of Applied Mechanics, 1990, 57(3):863-869.
[12] FAN Da-jun. Mathematical Theory of Elasticity [M]. Beijing:New Times Press, 1983. (in Chinese).
[13] Muskhelishvili N L. Some Basic Problems of Mathematical Theory of Elasticity[M]. Leyden:Noordhoff, 1975.
[14] LIU You-wen. Base singular solutions of anti-plane problem on circular-arc cracks between bonded dissimilar materials[J]. Acta Mechanica Solids Sinica, 1991, 12(3):244-254. (in Chinese).

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

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 4

Recommended Articles

Metrics

Comments

[1]	LIU You-wen;LI Bo;FANG Qi-hong. A moving screw dislocation near interfacial rigid lines in two dissimilar anisotropic media [J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(5): 625-638 .
[2]	FANG Qi-hong;LIU You-wen. ELASTIC INTERACTION BETWEEN WEDGE DISCLINATION DIPOLE AND INTERNAL CRACK [J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(9): 1239-1247 .
[3]	LIU You-wen;FANG Qi-hong. PLANE ELASTIC PROBLEM ON RIGID LINES ALONG CIRCULAR INCLUSION [J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(12): 1585-1594 .
[4]	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 .