| DYNAMIC BEHAVIOR OF TWO COLLINEAR PERMEABLE CRACKS IN A PIEZOELECTRIC LAYER BONDED TO TWO HALF SPACES |
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| 引用本文： | 曲贵民 周振功 王彪. DYNAMIC BEHAVIOR OF TWO COLLINEAR PERMEABLE CRACKS IN A PIEZOELECTRIC LAYER BONDED TO TWO HALF SPACES[J]. 应用数学和力学(英文版), 2005, 26(10): 1266-1276. DOI: 10.1007/BF03246231 |
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| 作者姓名： | 曲贵民 周振功 王彪 |
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| 作者单位： | P.O.Box 1247，Center for Composite Materials and Electro-Optics Research Center，Harbin Institute of Technology，Harbin 150001，P.R.China，P.O.Box 1247，Center for Composite Materials and Electro-Optics Research Center，Harbin Institute of Technology，Harbin 150001，P.R.China，P.O.Box 1247，Center for Composite Materials and Electro-Optics Research Center，Harbin Institute of Technology，Harbin 150001，P.R.China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （ Nos. 50232030 and 10172030） ; the National High-Tech Research and Development Program of China （863 Program） （No. 2001AA31304） ; the 0utstanding Young Scientist Fund of Heilongjiang Province of China （ JC04-08 ） and the Science Foundation of Education Commission of Heilongjiang Province （ No. 10541047 |
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| 摘 要： | IntroductionIn the fracture mechanics studies for piezoelectric materials,differently electricboundary conditions at the crack surfaces have been proposed by many researchers.Forexample,for the sake of analytical simplification,the assumption that the cra…
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| 关 键 词： | 弹性波 压电材料 傅立叶积分变换 疲劳裂纹 |
| 文章编号： | 0253-4827（2005）10-1266-11 |
| 收稿时间： | 2004-06-18 |
| 修稿时间： | 2005-05-23 |
Dynamic behavior of two collinear permeable cracks in a piezoelectric layer bonded to two half spaces |
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| Gui-min Qu,Zhen-gong Zhou,Biao Wang. Dynamic behavior of two collinear permeable cracks in a piezoelectric layer bonded to two half spaces[J]. Applied Mathematics and Mechanics(English Edition), 2005, 26(10): 1266-1276. DOI: 10.1007/BF03246231 |
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| Authors: | Gui-min Qu Zhen-gong Zhou Biao Wang |
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| Affiliation: | 1. Center for Composite Materials and Electro-Optics Research Center, Harbin Institute of Technology, P. O. Box 1247, Harbin, 150001, P. R. China
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| Abstract: | The dynamic behavior of two collinear cracks in a piezoelectric layer bonded to two half spaces under harmonic anti-plane shear waves was investigated by means of Schmidt method. The cracks are vertically to the interfaces of the piezoelectric layer. The boundary conditions of the electrical field were assumed to be the permeable crack surface. By using the Fourier transform, the problem can be solved with the help of two pairs of triple integral equations.Numerical examples were presented to show the effect of the geometry of the interacting cracks, the piezoelectric constants of the materials and the frequency of the incident waves upon the stress intensity factors. The results show that the dynamic field will impede or enhance the propagation of the crack in a piezoelectric material at different stages of the frequency of the incident waves. It is found that the electric displacement intensity factors for the permeable crack surface conditions are much smaller than that for the impermeable crack surface conditions. |
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| Keywords: | elastic wave piezoelectric material Fourier integral transform Schmidt method crack |
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