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Two-dimensional electroelastic fundamental solutions for general anisotropic piezoelectric media

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Abstract

Explicit fomulas for 2-D electroelastic fundamental solutions in general anisotropic piezoelectric media subjected to a line force and a line charge are obtained by using the plane wave decomposition method and a subsequent application of the residue calculus. “Anisotropic” means that any material symmetry restrictions are not assumed. “Two dimensional” includes not only in-plane problems but also anti-plane problems and problems in which in-plane and anti-plane deformations couple each other. As a special case, the solutions for transversely isotropic piezoelectric media are given.

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References

  1. B. Wang, Three-dimensional analysis of an ellipsoidal inclusion in a piezoelectric material, Int. J. Solids Struct., 29, 3 (1992), 293–308.

    Google Scholar 

  2. B. Wang, Three-dimensional analysis of a flat elliptical crack in a piezoelectric material, Int. J. Engng. Sci., 30, 6 (1992), 781–791.

    Google Scholar 

  3. S. Y. Du, et al., The general solution of anisotropic piezoelectric materials with an elliptic inclusion, Acta Mech. Sin., 10, 3 (1994), 273–291.

    Google Scholar 

  4. Y. E. Pak, Linear electroelastic fracture mechanics of piezoelectric materials, Int. J. Fracture, 54 1992, 79–100.

    Google Scholar 

  5. Z. Suo, et al., Fracture mechanics for piezoelectric ceramics, J. Mech. Phys. Solids, 40, 4 (1992), 739–769.

    Google Scholar 

  6. H. Sosa, Plane problems in piezoelectric media with defects, Int. J. Solids Struct., 28, 4 (1991), 491–505.

    Google Scholar 

  7. J. S. Lee and L. Z. Jiang, A boundary integral fomulation and 2-D fundamental solutions for piezoelectric media, Mech. Res. Commun., 21, 1 (1994), 47–54.

    Google Scholar 

  8. Q. Y. Meng and S. Y. Du, The fundamental solutions of boundary integral equation for a two-dimensional piezoelectric media, Acta. Mech. Sol. Sin., 16, 1 (1995), 90–94. (in Chinese)

    Google Scholar 

  9. D. M. Barnett and J. Lothe, Dislocation and line charges in anisotropic piezoelectric insulators, Phys. Status. Solidi (b). 67 (1975), 105–111.

    Google Scholar 

  10. I. M. Gel'f and M. I. Graev and N. Ya Vilenkin, Generalized Functions, Vol. 5 Academic Press, New York (1996).

    Google Scholar 

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Project supported by the National Natural Science Foundation of China and the Fund of the State Education Commission for Excellent Young Teachers

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Jinxi, L., Biao, W. & Shanyi, D. Two-dimensional electroelastic fundamental solutions for general anisotropic piezoelectric media. Appl Math Mech 18, 949–956 (1997). https://doi.org/10.1007/BF00189285

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  • DOI: https://doi.org/10.1007/BF00189285

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