Intensity factors for some common piezoelectric fracture mechanics specimens with conducting cracks or electrodes
Intensity factors for some common piezoelectric fracture mechanics specimens with conducting cracks or electrodes
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DOI：
10.1016/j.ijengsci.2004.02.002
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发表时间：
2004-07
影响因子：
6.6
通讯作者：
Baolin Wang;Yu-guo Sun
中科院分区：
文献类型：
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作者：
Baolin Wang;Yu-guo Sun
本文给出了几种常见的含导电裂纹或电极的压电断裂力学试件的应力和电场强度因子。首先，建立了压电板条在力电复合载荷作用下表面具有导电边界条件的垂直裂纹问题的解。然后，一个表面裂纹带，一个双边裂纹带，和一个中心裂纹带，同时受到均匀应力和电场载荷，进行了研究。研究了边裂板条在纯弯曲和均匀电场载荷作用下的弯曲变形。结果表明，压电效应对应力和电场强度因子的影响不大，说明压电材料在机械载荷作用下的应力强度因子可以用普通脆性固体的方法得到，而在电场载荷作用下的电场强度因子可以用普通脆性固体的方法得到.结果表明，由于压电材料的尺寸有限，机械载荷可以产生电场强度因子，而电场载荷可以产生应力强度因子。
This paper provides the stress and electric field intensity factors for some common piezoelectric fracture mechanics specimens with electrically conducting cracks or electrodes. Firstly, the solution for a vertical crack with electrically conducting boundary condition on its surfaces is established for a piezoelectric strip under combining mechanical and electrical loads. Then, a surface-cracked strip, a double edge cracked strip, and a center-cracked strip, subjected to uniform stress and electric field loads simultaneously, are investigated. Also investigated is an edge-cracked strip under pure bending and uniform electric field loads. The influence of piezoelectric effect on the stress and electric field intensity factors is found to be insignificant, suggesting that the stress intensity factors of piezoelectric materials under mechanical loads can be obtained in a same way as ordinary brittle solids, and the electric field intensity factors of piezoelectric materials under electric field loads can be obtained in a same way as ordinary dielectrics. However, the results show that the mechanical loads can produce electric field intensity factors, and the electric field loads can produce stress intensity factors in piezoelectric materials, due to the fact that the medium has finite size.