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| 压电材料中的共线非等长多裂纹问题 | |
| 引用本文： | 李永东,张男,李康镛. 压电材料中的共线非等长多裂纹问题[J]. 装甲兵工程学院学报, 2010, 24(4) |
| 作者姓名： | 李永东 张男 李康镛 |
| 作者单位： | 1. 装甲兵工程学院,机械工程系,北京,100072 2. 装甲兵工程学院,基础部,北京,100072 3. 延世大学,机械工程学院,韩国,首尔,120-749 |
| 基金项目： | 韩国BK21基金资助项目 |
| 摘 要： | 建立了横观各向同性压电材料中的共线非等长多裂纹模型。将裂纹模拟为连续分布的广义位错,推导了单点广义位错的格林函数,并基于此得到了共线非等长多裂纹的奇异积分方程组,最后由数值计算给出了裂纹尖端的能量释放率。对奇异积分方程组的退化分析和对称条件下的数值结果的讨论,验证了本文结果的正确性。研究表明:当共线裂纹间距小于裂纹长度时,裂纹尖端场存在显著的干涉效应;裂纹越长,干涉效应越显著;电载荷系数越大,能量释放率也越大;相对于外侧尖端而言,共线裂纹内侧尖端对电载荷系数更为敏感。 |
| 关 键 词： | 压电材料 共线多裂纹 格林函数 能量释放率 |
Collinear Multiple Unequal Cracks in Piezoelectric Materials |
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| LI Yong-dong,ZHANG Nan,LEE Kang-yong. Collinear Multiple Unequal Cracks in Piezoelectric Materials[J]. Journal of Armored Force Engineering Institute, 2010, 24(4) | |
| Authors: | LI Yong-dong ZHANG Nan LEE Kang-yong |
| Affiliation: | LI Yong-dong1; ZHANG Nan2; LEE Kang-yong3(1.Department of Mechanical Engineering; Academy of Amored Force Engineering; Beijing 100072; China; 2.Department of Fundamental Courses; 3.School of Mechanical Engineering; Yonsei University; Seoul 120-749; South Korea); |
| Abstract: | Mechanical model is established for collinear multiple unequal cracks in transversely isotropic piezoelectric material.The cracks are silmulated by continuously distributed generalized dislocations.Green’s function is derived for a point dislocation source,based on which the singular integral equations (SIEs) are obtained.Numerical computation yields the energy release rate of crack tips.The theory and calculation are validated by degeneration analysis on the SIEs and discussions on the numerical results un... |
| Keywords: | piezoelectric materials collinear multiple cracks Green’s function energy realease rate |
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