| 压电材料中反平面渗透裂纹的解 |
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| 引用本文： | 刘淑红,张志国,邹振祝.压电材料中反平面渗透裂纹的解[J].工程力学,2003,20(5):14-17. |
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| 作者姓名： | 刘淑红 张志国 邹振祝 |
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| 作者单位： | 1. 北方交通大学土建学院,北京100044;石家庄铁道学院,石家庄,050043
2. 石家庄铁道学院,石家庄,050043 |
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| 摘 要： | 用复变函数的保角映射法,采用可渗透边界条件,研究了含裂纹的无限大压电材料在平面内电场和反平面荷载作用下的耦合场,得到了精确的解和场强度因子以及能量释放率。结果表明,电场强度在裂尖没有奇异性,应变、应力、电位移具有1/2阶的奇异性,能量释放率总是正的。
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| 关 键 词： | 压电材料 反平面裂纹 保角变换 强度因子 |
| 文章编号： | 1000-4750(2003)05-0014-04 |
A SOLUTION OF A PERMEABLE MODE-Ⅲ CRACK IN A PIEZOELECTRIC MATERIAL |
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| LIU Shu-hong,ZHANG Zhi-guo,ZOU Zhen-zhu.A SOLUTION OF A PERMEABLE MODE-Ⅲ CRACK IN A PIEZOELECTRIC MATERIAL[J].Engineering Mechanics,2003,20(5):14-17. |
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| Authors: | LIU Shu-hong ZHANG Zhi-guo ZOU Zhen-zhu |
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| Affiliation: | LIU Shu-hong1,2,ZHANG Zhi-guo2,ZOU Zhen-zhu1,2 |
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| Abstract: | By complex potentials, a crack embedded in an infinite piezoelectric material under a far-field antiplane mechanical load and a far-field inplane electrical load is analyzed using permeable boundary condition. A closed-form solution of stress and electric fields is obtained. It is shown that the electric field is nonsingular in front of the crack tip, while the strain intensity factor, stress and electric displacement are of 1/2 order singularity. The energy release rate is always positive. |
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| Keywords: | piezoelectric material antiplane crack conformal mapping intensity factor |
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