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A piezoelectric screw dislocation interacting with a half-plane trimaterial composite

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Abstract

The electro-elastic stress investigation on the interaction between a screw dislocation and a half-plane trimaterial composite composed of three bonded dissimilar transversely isotropic piezoelectric materials is analyzed in the framework of linear piezoelectricity. Each layer is assumed to have the same material orientation with x 3 in the poling direction. The dislocations are characterized by a discontinuous displacement and electric potential across the slip plane and are subjected to a line force and a line charge at the core. Based on the complex variable and the method of alternating technique, the solution of electric field and displacement field is expressed in terms of explicit series form. The solutions derived here can be applied to a variety of problems, for example, a half-plane bimaterial, a quarter-plane bimaterial, a quarter-plane material and a rectangular strip etc. Numerical results are provided to show the influences of the material combinations and geometric configurations on the electro-elastic fields and image force calculated through the generalized Peach-Koehler formula. The solutions proposed here can be served as Green’s functions for the analyses corresponding piezoelectric cracking problems.

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Acknowledgements

This research is supported by the National Science Council of ROC under the contract number: NSC-100-2221-E-252-004-MY2.

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Authors and Affiliations

  1. Department of Automation Engineering, Nan Kai University of Technology, 568 Chung Cheng Road, Tsao Tun, 542, Nantou County, Taiwan

    Ming-Ho Shen, Shih-Nung Chen & Che-Ping Lin

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  1. Ming-Ho Shen
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  2. Shih-Nung Chen
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  3. Che-Ping Lin
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Correspondence to Ming-Ho Shen.

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Shen, MH., Chen, SN. & Lin, CP. A piezoelectric screw dislocation interacting with a half-plane trimaterial composite. Meccanica 47, 1923–1933 (2012). https://doi.org/10.1007/s11012-012-9564-z

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  • DOI: https://doi.org/10.1007/s11012-012-9564-z

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