Axially poled solid cylinder under tension with a flat annular crack

Axially poled solid cylinder under tension with a flat annular crack
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DOI:
10.1002/zamm.200610301
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发表时间:
2007-04
期刊:
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
影响因子:
--
通讯作者:
F. Narita;Y. Shindo;S. Lin
F. Narita;Y. Shindo;S. Lin
中科院分区:
其他
文献类型:
--
作者:
F. Narita;Y. Shindo;S. Lin

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研究了有限半径实心压电圆柱体扁环形裂纹在I型载荷作用下的电弹性响应。利用傅里叶变换和汉克尔变换,将混合边值问题简化为奇异积分方程。为了反映外加电场对压电圆柱体应力强度因子、能量释放率和能量密度因子的影响,得到了压电圆柱体的应力强度因子、能量释放率和能量密度因子的数值,并以图形形式给出了结果。还讨论了便士形裂纹和圆周边缘裂纹的特殊情况。
We investigate the electroelastic response of a flat annular crack in a solid piezoelectric cylinder of finite radius under mode I loading. By the use of Fourier and Hankel transforms, the mixed boundary value problem is reduced to a singular integral equation. Numerical values on the stress intensity factor, energy release rate, and energy density factor for piezoelectric cylinders are obtained to show the influence of applied electric fields, and the results are presented in graphical form. Special cases of a penny‐shaped crack and a circumferential edge crack are also discussed.