| 采用新方法研究加层压电材料中平行界面共线双裂纹的断裂问题 |
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| 引用本文： | 周振功,王彪.采用新方法研究加层压电材料中平行界面共线双裂纹的断裂问题[J].应用数学和力学,2003,24(1):1-11. |
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| 作者姓名： | 周振功 王彪 |
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| 作者单位： | 哈尔滨工业大学,复合材料研究所和光电信息中心,哈尔滨,150001 |
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| 基金项目： | 国家自然科学基金资助项目 (10 172 0 30 )，国家自然科学基金重点资助项目 (5 0 2 32 0 30 ) |
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| 摘 要： | 利用新的方法（Schmidt方法）研究加层压电材料中含共线并与材料界面平行的双裂纹在稳态弹性波作用下的动态问题，经富立叶变换使问题的求解转换为求解两对三重对偶积分方程。这些方程可以采用Schmidt方法来求解，这个方法不同与以前求解所利用的方法。结果表明应力强度因子不仅与裂纹的几何尺寸、入射波频率、加层厚度有关，而且与材料性质有关。
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| 关 键 词： | 断裂问题 Schmidt方法 三重积分方程 压电材料 动态应力强度因子 裂纹 应力强度 电位移强度 |
| 文章编号： | 1000-0887(2003)01-0001-11 |
Investigation of the Dynamic Behavior of Two Collinear Anti-Plane Shear Cracks in a Piezoelectric Layer Bonded to Two Half Spaces by a New Method |
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| ZHOU Zhen_gong,WANG Biao.Investigation of the Dynamic Behavior of Two Collinear Anti-Plane Shear Cracks in a Piezoelectric Layer Bonded to Two Half Spaces by a New Method[J].Applied Mathematics and Mechanics,2003,24(1):1-11. |
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| Authors: | ZHOU Zhen_gong WANG Biao |
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| Abstract: | The dynamic behavior of two collinear anti_plane shear cracks in a piezoelcetric layer bonded to two half spaces subjected to the harmonic waves is investigated by a new method.The cracks are parallel to the interfaces in the mid_plane of the piezoelectric layer.By using the Fourier transform,the problem can be solved with two pairs of triple integral equations.These equations are solved by using Schmidt's method.This process is quite different from that adopted previously.Numerical examples are provided to show the effect of the geometry of cracks,the frequency of the incident wave,the thichness of the piezoelectric layer and the constants of the material upon the dynamic stress intensity factor of cracks. |
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| Keywords: | Schmidt method triple integral equations piezoelectric materials dynamic stress intensity factor cracks |
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