| ANALYSIS OF CRACK-TIP SINGULARITIES FOR AN INTERFACIAL PERMEABLE CRACK IN METAL/PIEZOELECTRIC BIMATERIALS |
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| 作者姓名： | Li Qun Chen Yiheng |
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| 作者单位： | School of Aerospace，Xi'an Jiao-Tong University，Xi'an 710049，China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(No.10572110)，the Doctorate Foundation of the Chinese Education Ministry，the Doctorate Foundation of Xi'an Jiaotong University. |
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| 摘 要： | By modeling metal as a special piezoelectric material with extremely small piezoelec- tricity and extremely large permittivity,we have obtained the analytical solutions for an interfacial permeable crack in metal/piezoelectric bimaterials by means of the generalized Stroh formalism. The analysis shows that the stress fields near a permeable interfacial crack tip are usually with three types of singularities:r~(-1/2 iε)and r~(-1/2).Further numerical calculation on the oscillatory indexεare given for 28 types of metal/piezoelectric bimaterials combined by seven commercial piezoelectric materials: PZT-4,BaTiO_3,PZT-5H,PZT-6B,PZT-7A,P-7 and PZT-PIC 151 and four metals:copper,silver,lead and aluminum,respectively.The explicit expressions of the crack tip energy release rate(ERR)and the crack tip generalized stress intensity factors(GSIF)are obtained.It is found that both the ERR and GSIF are independent of the electric displacement loading,although they seriously depends on the mechanical loadings.
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| 关 键 词： | 界面裂纹 金属 压电生物材料 能量释放 |
| 收稿时间： | 12 September 2006 |
| 修稿时间： | 2006-09-12 |
ANALYSIS OF CRACK-TIP SINGULARITIES FOR AN INTERFACIAL PERMEABLE CRACK IN METAL/PIEZOELECTRIC BIMATERIALS |
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| Li Qun Chen Yiheng.ANALYSIS OF CRACK-TIP SINGULARITIES FOR AN INTERFACIAL PERMEABLE CRACK IN METAL/PIEZOELECTRIC BIMATERIALS[J].Acta Mechanica Solida Sinica,2007,20(3):247-257. |
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| Authors: | Li Qun Chen Yiheng |
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| Institution: | 1. State Key Laboratory for Strength and Vibration of Mechanical Structures, Shaanxi Key Laboratory of Environment and Control for Flight Vehicle, Shaanxi Engineering Research Center of Nondestructive Testing and Structural Integrity Evaluation, School of Aerospace, Xi’an Jiaotong University, Xi’an 710049, China;2. College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;3. Wolfson School of Mechanical, Electrical and Manufacturing Engineering, Loughborough University, Loughborough LE11 3TU, UK |
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| Abstract: | By modeling metal as a special piezoelectric material with extremely small piezoelectricity and extremely large permittivity, we have obtained the analytical solutions for an interfacial permeable crack in metal/piezoelectric bimaterials by means of the generalized Stroh formalism.The analysis shows that the stress fields near a permeable interfacial crack tip are usually with three types of singularities: r-1/2±iε and r-1/2. Further numerical calculation on the oscillatory index ε are given for 28 types of metal/piezoelectric bimaterials combined by seven commercial piezoelectric materials: PZT-4, BaTiO3, PZT-5H, PZT-6B, PZT-7A, P-7 and PZT-PIC 151 and four metals: copper, silver, lead and aluminum, respectively. The explicit expressions of the crack tip energy release rate (ERR) and the crack tip generalized stress intensity factors (GSIF) are obtained. It is found that both the ERR and GSIF are independent of the electric displacement loading, although they seriously depends on the mechanical loadings. |
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| Keywords: | interfacial permeable crack metal/piezoelectric bimaterials energy release rate intensity factor |
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