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Bio-Design and Manufacturing  2019 Vol.2 No.1 P.9~14

10.1631/jzus.2001.0009


EXACT SOLUTION OF AN EXTERNAL CIRCULAR CRACK IN A PIEZOELECTRIC SOLID SUBJECTED TO SHEAR LOADING


Author(s):  CHEN Wei-qiu, DING Hao-jiang, HOU Peng-fei

Affiliation(s):  Department of Civil Engineering,Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   caijb@ccea.zju.edu.cn

Key Words:  piezoelectric material, potential theory, external circular crack, exact solution


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CHEN Wei-qiu, DING Hao-jiang, HOU Peng-fei. EXACT SOLUTION OF AN EXTERNAL CIRCULAR CRACK IN A PIEZOELECTRIC SOLID SUBJECTED TO SHEAR LOADING[J]. Journal of Zhejiang University Science D, 2019, 2(1): 9~14.

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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 represented 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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Reference

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