Analysis of a screw dislocation inside an elliptical inhomogeneity in piezoelectric solids

The electroelastic interaction between a piezoelectric screw dislocation, which is located inside either the inclusion or the matrix, and an elliptical inclusion with interfacial cracks under antiplane mechanical and inplane electrical loads is dealt with. An efficient and concise complex variable method for complex multiply connected region is developed, in terms of which general solutions of complex potentials in the matrix and the inclusion regions are derived. The explicit series-form solutions are then given for the interface with a finite crack. The image force on the piezoelectric screw dislocation due to the elliptical inclusion, interfacial crack and remote uniform loadings is calculated by using the generalized PeachKoehler formula. The influence of the curvature and the length of the crack, the shape of the inclusion and electroelastic mismatch between two materials on the image force is evaluated and discussed. Numerical examples show that the elliptical arc interfacial crack has significant effect on the equilibrium position of the dislocation near the interface. Further analysis implies that, when the curvature or the length of the crack goes up to a critical value, existence of the interfacial crack can change the interaction mechanism between a piezoelectric screw dislocation and the elliptical inclusion. In addition, a significative result is that there exists a same value of the crack angle to change the direction of the image force regardless of the shape of the inclusion as the area of the elliptical inclusion taking a constant. The present solutions contain a number of previously known results which can be shown to be special cases.

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“…(69)-(72) which coincide with those of Deng and Meguid [16] in the absence of the line force and line charge. (23) and (24) into Eq.…”

Section: Dislocation Inside the Inclusionsupporting

confidence: 60%

“…Refereeing to the work of Deng and Meguid [16] and Wang and Shen [26], the complex potentials can take the following forms in the z-plane…”

Section: Dislocation Inside the Inclusionmentioning

confidence: 99%

Electroelastic interaction between a piezoelectric screw dislocation and an elliptical inclusion with interfacial cracks

Fang

Liu

Jiang

2005

Physica Status Solidi (b)

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“…Kattis et al [13] investigated the electroelastic interaction of a piezoelectric screw dislocation with the circular inclusion in piezoelectric materials. Meguid and Deng [14] and Deng and Meguid [15] considered the problem involving the interaction between the piezoelectric elliptical inhomogeneity and a screw dislocation, which is located inside or outside inhomogeneity under antiplane shear and inplane electric field. The similar problem involving the interaction between a piezoelectric screw dislocation and elliptical inclusion was studied by Liu et al [16].…”

Section: Introductionmentioning

confidence: 99%

A piezoelectric screw dislocation interacting with an elliptical inclusion containing electrically conductive interfacial rigid lines

Fang

Liu

Wen

2008

International Journal of Mechanical Sciences

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“…There are numerous contributions to the literature on electro-elastic coupling characteristics of piezoelectric composite materials. To name a few, Pak [1992a] studied the anti-plane problem of a piezoelectric circular inclusion; Meguid and Zhong [1997] provided a general solution for the elliptical inhomogeneity problem in piezoelectric material under anti-plane shear and an in-plane electric field; Kattis et al [1998] investigated the electro-elastic interaction effects of a piezoelectric screw dislocation with circular inclusion in piezoelectric material; Deng and Meguid [1998;1999] considered the interaction between the piezoelectric elliptical inhomogeneity and a screw dislocation located inside inhomogeneity and outside inhomogeneity respectively under anti-plane shear and an in-plane electric field. More recently, Huang and Kuang [2001] evaluated the generalized electro-mechanical force for dislocation located inside, outside and on the interface of elliptical inhomogeneity in an infinite piezoelectric medium.…”

Section: Introductionmentioning

confidence: 99%

Dislocation interacting with collinear rigid lines in piezoelectric media

Chen

Shu

Xiao

2007

JOMMS

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The electro-elastic interaction between a piezoelectric dislocation and collinear rigid lines embedded in a piezoelectric medium is studied in the framework of linear elastic theory. The rigid lines are considered, respectively, as dielectrics or conductors. We present a general solution of the problem based on the extended Stroh's formalism. Explicit expressions of the field intensity factors are obtained for the special case of a single rigid line. The image force acting on the piezoelectric dislocation due to the presence of a single rigid line is calculated by using the generalized Peach-Koehler formula. Numerical examples show the shielding effects of field intensity factors and image force on the dislocation. The solution we present can be served as a Green's function for investigating the micro-crack initiation mechanism at the tip of a rigid line.

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Analysis of a screw dislocation inside an elliptical inhomogeneity in piezoelectric solids

Cited by 43 publications

References 15 publications

Electroelastic interaction between a piezoelectric screw dislocation and an elliptical inclusion with interfacial cracks

Electroelastic interaction between a piezoelectric screw dislocation and an elliptical inclusion with interfacial cracks

A piezoelectric screw dislocation interacting with an elliptical inclusion containing electrically conductive interfacial rigid lines

Dislocation interacting with collinear rigid lines in piezoelectric media

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