Interaction Between a Semi-Infinite Crack and a Screw Dislocation in a Piezoelectric Material-Reference-Cited by-同舟云学术

Interaction Between a Semi-Infinite Crack and a Screw Dislocation in a Piezoelectric Material

Published:1999-09-21 Issue:1 Volume:67 Page:165-170
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Lee Kang Yong¹,Lee Won Gyu¹,Pak Y. Eugene²

Affiliation:

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

2. Micro Systems Laboratory, System and Control Sector, Samsung Advanced Institute of Technology and CRI, P.O. Box 111, Suwon 440-600, Korea

Abstract

The interaction between a semi-infinite crack and a screw dislocation under antiplane mechanical and in-plane electrical loading in a linear piezoelectric material is studied in the framework of linear elasticity theory. A straight dislocation with the Burgers vector normal to the isotropic basal plane near a semi-infinite crack tip is considered. In addition to having a discontinuous electric potential across the slip plane, the dislocation is subjected to a line-force and a line-charge at the core. The explicit solution for the model is derived by means of complex variable and conformal mapping methods. The classical 1/r singularity is observed for the stress, electric displacement, and electric field at the crack tip. The force on a screw dislocation due to the existence of a semi-infinite crack subjected to external electromechanical loads is calculated. Also, the effect of the screw dislocation with the line-force and line-charge at the core on the crack-tip fields is observed through the field intensity factors and the crack extension force. [S0021-8936(00)01501-4]

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/67/1/165/5466555/165_1.pdf

Reference17 articles.

1. Faivre, G., and Saada, G., 1972, “Dislocations in Piezoelectric Semiconductors,” Phys. Status Solidi B, 52, p. 127127.

2. Deeg, W. F., 1980, “The Analysis of Dislocation, Crack, and Inclusion Problems in Piezoelectric Solids,” Ph.D. thesis, Stanford University, Stanford, CA.

3. Pak, Y. E. , 1990, “Crack Extension force in a Piezoelectric Material,” ASME J. Appl. Mech., 57, pp. 647–653.

4. Sosa, H. A., and Pak, Y. E., 1990, “Three-Dimensional Eigenfunction Analysis of a Crack in a Piezoelectric Material,” Int. J. Solids Struct., 26, pp. 1–15.

5. Pak, Y. E. , 1990, “Force on a Piezoelectric Screw Dislocation,” ASME J. Appl. Mech., 57, pp. 863–869.

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