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Exact solution of an external circular crack in a piezoelectric solid subjected to shear loading

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Abstract

A three-dimensional, exact analysis is presented in this paper for the problem of an external circular crack in a transversely isotropic piezoelectric medium subjected to arbitrary antisymmetric shear loading. A recently proposed general solution of three-dimensional piezoelectricity is employed. It is shown that four quasi harmonic functions involved in the general solution can be respresented by just one complex potential. Previous results in potential theory are then used to obtain the exact solution of the problem. For point shear loading, Green’s functions for the elastoelectric field are derived in terms of elementary functions.

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Authors and Affiliations

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

    Chen Wei-qiu, Ding Hao-jiang & Hou Peng-fei

Authors
  1. Chen Wei-qiu
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  2. Ding Hao-jiang
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  3. Hou Peng-fei
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Corresponding author

Correspondence to Chen Wei-qiu.

Additional information

Project supported by Scientific Research Foundation for Returned Overseas Chinese Scholars, State Education Ministry and partly by National Natural Science Foundation of China (NSFC) (10002016).

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Wei-qiu, C., Hao-jiang, D. & Peng-fei, H. Exact solution of an external circular crack in a piezoelectric solid subjected to shear loading. J. Zheijang Univ.-Sci. 2, 9–14 (2001). https://doi.org/10.1631/BF02841169

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  • DOI: https://doi.org/10.1631/BF02841169

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