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Effects of Electric Field Gradient on an Anti-Plane Crack in Piezoelectric Ceramics

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Abstract

An anti-plane, semi-infinite crack in polarized ceramics is analyzed using the theory of elastic dielectrics with electric field gradient. The effects of electric field gradient on electromechanical fields around the crack is examined.

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References

  1. Mindlin, R. D. (1968). Polarization gradient in elastic dielectrics. International Journal of Solids Structures 4, 637–642.

    MATH  Google Scholar 

  2. Mindlin, R. D. (1969). Continuum and lattice theories of influence of electromechanical coupling on capacitance of thin dielectric films. International Journal of Solids Structures, 5, 1197–1208.

    Google Scholar 

  3. Landau, L. D. and Lifshitz, E. M. (1984) Electrodynamics of Continuous Media, 2nd Ed., Butterworth-Heinemann, pp. 358–371.

  4. Kafadar, C. B. (1971) Theory of multipoles in classical electromagnetism, International Journal of Engineering Science, 9, 831–853.

    MATH  Google Scholar 

  5. Eringen A. C. and Maugin, G. A. (1990). Electrodynamics of Continua I. Springer, New York, 88–89.

    Google Scholar 

  6. Yang, X. M., Hu, Y. T. and Yang, J. S. (2004). Electric field gradient effects in anti-plane problems of a circular cylindrical hole in piezoelectric materials of 6mm symmetry. Acta Mechanica Solida Sinica, accepted.

  7. Pak, Y. E. (1990). Crack extension force in a piezoelectric material. Journal of Applied Mechanics 57, 647–653.

    MATH  Google Scholar 

  8. Sosa, H. (1993). Crack problems in piezoelectric ceramics. In: Mechancis of Electromagnetic Materials and Structures, Lee. J. S., Maugin, G. A. and Shindo, Y., ed., American Society of Mechanical Engineers, AMD-Vol. 161, MD-Vol. 42, pp. 63–75.

  9. Chen, Z.-T. and Yu, S.-W. (1997). Antiplane Yoffe crack problem in piezoelectric materials. International Journal of Fracture 84, L41–L45.

    Google Scholar 

  10. Baesu E and Soos E. (2001). Antiplane fracture in a prestressed and prepolarized piezoelectric crystal. IMA Journal of Applied Mathematics 66, 2001.

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Engineering Mechanics, University of Nebraska, Lincoln, NE, 68588-0526, USA

    Jiashi Yang

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  1. Jiashi Yang
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Yang, J. Effects of Electric Field Gradient on an Anti-Plane Crack in Piezoelectric Ceramics. International Journal of Fracture 127, L111–L116 (2004). https://doi.org/10.1023/B:FRAC.0000035084.44247.cc

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  • DOI: https://doi.org/10.1023/B:FRAC.0000035084.44247.cc

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