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TECHNICAL PAPERS

Electromechanical Effects of a Screw Dislocation Around a Finite Crack in a Piezoelectric Material

[+] Author and Article Information
J. H. Kwon, K. Y. Lee

Department of Mechanical Engineering, Yonsei University, Seoul 120-749, Korea

J. Appl. Mech 69(1), 55-62 (Aug 09, 2001) (8 pages) doi:10.1115/1.1427692 History: Received November 09, 1999; Revised August 09, 2001
Copyright © 2002 by ASME
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References

Faivre,  G., and Saada,  G., 1972, “Dislocations in Piezoelectric Semiconductors,” Phys. Status Solidi B, 52, p. 127.
Deeg, W. F., 1980, “The Analysis of Dislocation, Crack, and Inclusion Problems in Piezoelectric Solids,” Ph.D. thesis, Stanford University, Stanford, CA.
Pak,  Y. E., 1990, “Crack Extension Force in a Piezoelectric Material,” ASME J. Appl. Mech., 57, pp. 647–653.
Pak,  Y. E., 1990, “Force on a Piezoelectric Screw Dislocation,” ASME J. Appl. Mech., 57, pp. 863–869.
Wang,  B., 1992, “Three-Dimensional Analysis of an Ellipsoidal Inclusion in Piezoelectric Material,” Int. J. Solids Struct., 29, pp. 293–308.
Chen,  T., 1993, “The Rotation of a Rigid Inclusion Embedded in an Anisotropic Piezoelectric Medium,” Int. J. Solids Struct., 30, pp. 1983–1995.
Liang,  J., Han,  J. -C., Wang,  B., and Du,  S., 1995, “Electroelastic Modelling of Anisotropic Piezoelectric Materials With an Elliptic Inclusion,” Int. J. Solids Struct., 32, pp. 2989–3000.
Chung,  M. Y., and Ting,  T. C. T., 1996, “Piezoelectric Solid With an Elliptical Inclusion or Hole,” Int. J. Solids Struct., 33, pp. 3343–3361.
Zhong,  Z., and Meguid,  S. A., 1997, “Interfacial Debonding of a Circular Inhomogeneity in Piezoelectric Materials,” Int. J. Solids Struct., 34, pp. 1965–1984.
Meguid,  S. A., and Deng,  Wei, 1998, “Electro-electic Interaction Between a Screw Dislocation and an Elliptical Inhomogeneity in Piezoelectric Materials,” Int. J. Solids Struct., 35, pp. 1467–1482.
Lee,  K. Y., Lee,  W. G., and Pak,  Y. E., 2000, “Interaction Between a Semi-infinite Crack and a Screw Dislocation in a Piezoelectric Material,” ASME J. Appl. Mech., 67, pp. 165–170.
Hirth, J. P., and Lothe, J., 1982, Theory of Dislocations, John Wiley and Sons, New York, p. 436.
Berlincourt,  D. A., Curran,  D. R., and Jaffe,  H., 1964, “Piezoelectric and Piezomagnetic Materials and Their Function in Transducers,” ., ed., Academic Press, New York, Phys. Acoust., 1A, p. 177.
Majumdar,  B. S., and Burns,  S. J., 1981, “Crack Tip Shielding—An Elastic Theory of Dislocations and Dislocation Arrays Near a Sharp Crack,” Acta Metall., 29, pp. 579–588.
Lee,  S., 1987, “The Image Force on the Screw Dislocation Around a Crack of Finite Size,” Eng. Fract. Mech., 27, No. 5, pp. 539–545.
Zhang,  T.-Y., and Li,  J. C. M., 1991, “Image Forces and Shielding Effects of a Screw Dislocation Near a Finite-Length Crack,” Mater. Sci. Eng., A, 142, pp. 35–39.
Eshelby,  J. D., 1956, “The Continuum Theory of Lattice Defects,” Solid State Phys., 3, p. 79.

Figures

Grahic Jump Location
A piezoelectric medium containing a screw dislocation around a finite crack of length 2a subjected to far-field mechanical and electrical loads
Grahic Jump Location
Force on a screw dislocation, Fx versus dislocation angle, θ
Grahic Jump Location
Force on a screw dislocation, Fy versus dislocation angle, θ
Grahic Jump Location
Force on a screw dislocation, Fx versus normalized distance, r/a
Grahic Jump Location
Normalized energy release rate, G(±a)/Gcr versus dislocation angle, θ
Grahic Jump Location
Normalized energy release rate, G(±a)/Gcr versus normalized distance, r/a
Grahic Jump Location
Normalized energy release rate, G(±a)/Gcr versus electric field, E
Grahic Jump Location
Force on a screw dislocation, Fy versus normalized distance, r/a
Grahic Jump Location
Force on a screw dislocation, Fx versus electric displacement, D
Grahic Jump Location
Force on a screw dislocation, Fy versus electric displacement, D

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