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| 压电板条中的平面裂纹问题 | |
| 引用本文： | 胡克强,李国强,仲政.压电板条中的平面裂纹问题[J].同济大学学报(自然科学版),2005,33(7):890-894. |
| 作者姓名： | 胡克强 李国强 仲政 |
| 作者单位： | 1. 同济大学,建筑工程系,上海,200092;天津大学,力学系,天津,300072 2. 同济大学,建筑工程系,上海,200092 3. 同济大学,航空航天与力学学院,上海,200092 |
| 摘 要： | 基于线性压电理论，采用电绝缘边界条件，对压电板条中的张开型(Ⅰ型)裂纹问题进行了求解．利用Fourier变换将裂纹面的混合边值问题化为对偶积分方程，并进一步归结为易于求解的第二类Fredholm积分方程组．求得了裂纹尖端场的强度因子，分析了材料常数和几何尺寸对应力强度因子的影响．结果表明，可以通过适当调整材料和几何参数来减小应力强度因子的幅值。 |
| 关 键 词： | 压电板条 Ⅰ型裂纹 积分方程 应力强度因子 |
| 文章编号： | 0253-374X(2005)07-0890-05 |
Mode I Crack Problem in Piezoelectric Strip |
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| HU Ke-qiang,LI Guo-qiang,Zhong Zheng.Mode I Crack Problem in Piezoelectric Strip[J].Journal of Tongji University(Natural Science),2005,33(7):890-894. | |
| Authors: | HU Ke-qiang LI Guo-qiang Zhong Zheng |
| Institution: | HUKe-qiang1,2,LI Guo-qiang1,ZHONG Zheng3 |
| Abstract: | Following the theory of linear piezoelectricity,we consider the Mode I crack in a piezoelectric strip using impermeable boundary condition.By the use of Fourier transform,we reduce the mixed boundary crack problem to solving dual integral equations.The solution of the dual integral equations is then expressed in terms of simultaneous Fredholm integral equations of the second kind.After obtaining the stress intensity factors near the crack tip,the influences of material properties and geometrical size on them are studied.The results show that it is possible to adjust the material and geometric parameters so as to reduce the magnitude of the stress in- tensity factors. |
| Keywords: | piezoelectric strip Mode I crack integral equation stress intensity factor |
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