| THE PERIODIC CRACK PROBLEM IN BONDED PIEZOELECTRIC MATERIALS |
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| 作者姓名： | Ding Shenghu Li Xing |
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| 作者单位： | Ding Shenghu (Department of Mathematics，Shanghai Jiaotong University，Shanghai 200240，China) Li Xing (Department of Mathematics and Computer Science，Ningxia University，Yinchuan 750021，China) |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(No.10661009)，the Ningxia Natural Science Foundation(No.NZ0604). |
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| 摘 要： | The problem of a periodic array of parallel cracks in a homogeneous piezoelectric strip bonded to a functionally graded piezoelectric material is investigated for inhomogeneous continuum.It is assumed that the material inhomogeneity is represented as the spatial varia- tion of the shear modulus in the form of an exponential function along the direction of cracks. The mixed boundary value problem is reduced to a singular integral equation by applying the Fourier transform,and the singular integral equation is solved numerically by using the Gauss- Chebyshev integration technique.Numerical results are obtained to illustrate the variations of the stress intensity factors as a function of the crack periodicity for different values of the material inhomogeneity.
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| 关 键 词： | 平行裂纹周期排列 压电材料 积分方程 高斯积分法 |
| 收稿时间： | 8 November 2006 |
| 修稿时间： | 2006-11-082007-03-26 |
THE PERIODIC CRACK PROBLEM IN BONDED PIEZOELECTRIC MATERIALS |
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| Ding Shenghu Li Xing.THE PERIODIC CRACK PROBLEM IN BONDED PIEZOELECTRIC MATERIALS[J].Acta Mechanica Solida Sinica,2007,20(2):171-179. |
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| Authors: | Ding Shenghu Li Xing |
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| Institution: | 1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China;2. Department of Mathematics and Computer Science, Ningxia University, Yinchuan 750021, China;1. Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran;2. Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan, Iran;1. Laboratory of Physics of Materials, Faculty of Science of Sfax, BP 1171, 3000 University of Sfax, Tunisia;2. Sfax Preparatory Engineering Institute, Menzel Chaker road 0.5 km, BP 1172, Sfax 3000, Tunisia |
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| Abstract: | The problem of a periodic array of parallel cracks in a homogeneous piezoelectric strip bonded to a functionally graded piezoelectric material is investigated for inhomogeneous continuum.It is assumed that the material inhomogeneity is represented as the spatial varia- tion of the shear modulus in the form of an exponential function along the direction of cracks. The mixed boundary value problem is reduced to a singular integral equation by applying the Fourier transform,and the singular integral equation is solved numerically by using the Gauss- Chebyshev integration technique.Numerical results are obtained to illustrate the variations of the stress intensity factors as a function of the crack periodicity for different values of the material inhomogeneity. |
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| Keywords: | periodic array of parallel crack functionally graded piezoelectric material singular integral equation Gauss-Chebyshev integration technique |
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