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Fundamental solutions for plane problem of piezoelectric materials

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Abstract

Based on the basic equations of two-dimensional, transversely isotropic, piezoelectric elasticity, a group of general solutions for body force problem is obtained. And by utilizing this group of general solutions and employing the body potential theory and the integral method, the closed-form solutions of displacements and electric potential for an infinite piezoelectric plane loaded by point forces and point charge are acquired. Therefore, the fundamental solutions, which are very important and useful in the boundary element method (BEM), are presented.

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Authors and Affiliations

  1. Department of Civil Engineering, Zhejiang University, 310027, Hangzhou, China

    Haojiang Ding, Guoqing Wang & Weiqiu Chen

Authors
  1. Haojiang Ding
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  2. Guoqing Wang
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  3. Weiqiu Chen
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Project supported by the National Natural Science Foundation of China and the Zhejiang Provincial Natural Science Foundation.

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Ding, H., Wang, G. & Chen, W. Fundamental solutions for plane problem of piezoelectric materials. Sci. China Ser. E-Technol. Sci. 40, 331–336 (1997). https://doi.org/10.1007/BF02916609

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  • DOI: https://doi.org/10.1007/BF02916609

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