A Piezoelectric Screw Dislocation Interacting with a Dielectric Crack in a Hexagonal Piezoelectric Material

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This paper is concerned with the interaction of a piezoelectric screw dislocation with a semi-infinite dielectric crack in a piezoelectric medium with hexagonal symmetry. The solution of the considered problem is obtained from the dislocation solution of a piezoelectric half-plane adjoining a gas medium of dielectric constant ε0 by using the conformal mapping method. The intensity factors of stress, electric displacement and electric field and the image force on the dislocation are given explicitly. The effect of electric boundary conditions on the dislocation-crack interaction is analyzed and discussed in detail. The results show that ε0 only influences the electric displacement and electric field intensity factors and the image force produced by the electric potential jump.

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183-190

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September 2005

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© 2005 Trans Tech Publications Ltd. All Rights Reserved

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[1] J. Weertman: Dislocation Based Fracture Mechanics, World Scientific, New Jersey (1996).

Google Scholar

[2] D.M. Barnett and J. Lothe: Phys. Stat. Sol. (b) Vol. 67 (1975), p.105.

Google Scholar

[3] K.Y. Lee, W.G. Lee and Y.E. Pak: J. Appl. Mech. Vol. 67 (2000), p.165.

Google Scholar

[4] J.H. Kwon and K.Y. Lee: J. Appl. Mech. Vol. 69 (2002), p.55 Fig. 5 Variation of the normalized image force fθ versus the angular position θd of the dislocation for different values of ε0.

Google Scholar

[5] B.J. Chen, Z.M. Xiao and K.M. Liew: Int. J. Eng. Sci. Vol. 40 (2002), p.621.

Google Scholar

[6] T.Y. Zhang, T.H. Wang and M.H. Zhao: Philos. Mag. Vol. A 82 (2002), p.2805.

Google Scholar

[7] C.F. Gao and W.X. Fan: Int. J. Solids Struct. Vol. 36 (1999), p.2527.

Google Scholar

[8] B.L. Wang, and Y.W. Mai: Int. J. Eng. Sci. Vol. 41 (2003), p.633.

Google Scholar

[9] T.Y. Zhang and P. Tong: Int. J. Solids Struct. Vol. 33 (1996), p.343.

Google Scholar

[10] T.Y. Zhang, M.H. Zhao and P. Tong: Adv. Appl. Mech. Vol. 38 (2002), p.147.

Google Scholar

[11] Y.E. Pak: J. Appl. Mech. Vol. 57 (1990), p.863.

Google Scholar