CLC number: O346, TB39
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 0000-00-00
Cited: 40
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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 A, 2001, 2(1): 9-14.
@article{title="EXACT SOLUTION OF AN EXTERNAL CIRCULAR CRACK IN A PIEZOELECTRIC SOLID SUBJECTED TO SHEAR LOADING",
author="CHEN Wei-qiu, DING Hao-jiang, HOU Peng-fei",
journal="Journal of Zhejiang University Science A",
volume="2",
number="1",
pages="9-14",
year="2001",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2001.0009"
}
%0 Journal Article
%T EXACT SOLUTION OF AN EXTERNAL CIRCULAR CRACK IN A PIEZOELECTRIC SOLID SUBJECTED TO SHEAR LOADING
%A CHEN Wei-qiu
%A DING Hao-jiang
%A HOU Peng-fei
%J Journal of Zhejiang University SCIENCE A
%V 2
%N 1
%P 9-14
%@ 1869-1951
%D 2001
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2001.0009
TY - JOUR
T1 - EXACT SOLUTION OF AN EXTERNAL CIRCULAR CRACK IN A PIEZOELECTRIC SOLID SUBJECTED TO SHEAR LOADING
A1 - CHEN Wei-qiu
A1 - DING Hao-jiang
A1 - HOU Peng-fei
J0 - Journal of Zhejiang University Science A
VL - 2
IS - 1
SP - 9
EP - 14
%@ 1869-1951
Y1 - 2001
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2001.0009
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.
[1] Chen, W. Q. and Shioya, T.,1999. Fundamental solution for a penny-shaped crack in a piezoelectric medium.J. Mech. Phys. Solids,47:1459-1475.
[2] Ding, H. J.,Chen, B. and Liang, J.,1996. General solutions for coupled equations for piezoelectric media.Int. J. Solids Struct.,33:2283-2298.
[3] Ding, H. J.,Chen, B. and Liang, J.,1997. On the Green's functions for two-phase transversely isotropic piezoelectric media.Int. J. Solids Struct.,34:3041-3057.
[4] Dunn, M. L. and Taya, M.,1994. Electroelastic field concentrations in and around inhomogeneities in piezoelectric solids.J. Appl. Mech.,61:474-475.
[5] Fabrikant, V. I.,1989. Applications of Potential Theory in Mechanics: A Selection of New Results. Kluwer Academic Publishers, Drodrecht, p.1-70.
[6] Fabrikant, V. I.,1996. Complete solution to the problem of an external circular crack in a transversely isotropic body subjected to arbitrary shear loading.Int. J. Solids Struct.,33:167-191.
[7] Kogan, L.,Hui, C. Y. and Molkov, V.,1996. Stress and induction field of a spheroidal inclusion or a penny-shaped crack in a transversely isotropic piezoelectric material.Int. J. Solids Struct., 33:2719-2737.
[8] Pak, Y. E.,1990. Crack extension force in a piezoelectric material.J. Appl. Mech., 57:647-653.
[9] Suo, Z.,Kuo, C. M.,Barnett, D. M. and Willis, J. R.,1992. Fracture mechanics for piezoelectric ceramics.J. Mech. Phys. Solids, 40:739-765.
[10] Wang, Z. K.,1994. Penny-shaped crack in transversely isotropic piezoelectric materials.Acta Mechanica Sinica, 10:49-60.
[11] Zhong, Z. and Meguid, S. A.,1997. Analysis of a circular arc-crack in piezoelectric materials.Int. J. Fract., 84:143-158.
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