夹层压电材料中垂直于界面的共线双裂纹动力学问题分析

曲贵民; 周振功; 王彪

夹层压电材料中垂直于界面的共线双裂纹动力学问题分析

哈尔滨工业大学复合材料研究所及光电研究中心,哈尔滨 150001

基金项目: 国家自然科学基金资助项目(10172030;50232030);国家科技部八六三项目(2001AA31304);黑龙江省杰出青年基金资助项目(JC04-08);黑龙江省教育厅基金资助项目(10541047)

详细信息

作者简介:
曲贵民(1962- ),男,辽宁人,教授,博士(联系人.Tel:+86-451-86390831;Fax:+86-451-86390830;E-mail:qugmh@yahoo.com.cn).

中图分类号: O345.51
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出版历程
- 收稿日期: 2004-06-18
- 修回日期: 2005-05-23
- 刊出日期: 2005-10-15

Dynamic Behavior of Two Collinear Permeable Cracks in a Piezoelectric Layer Bonded to Two Half Spaces

P. O. Box 1247, Center for Composite Materials and Electro-Optics Research Center, Harbin Institute of Technology, Harbin 150001, P. R. China

摘要

摘要: 采用Schmidt方法分析了在简谐反平面剪切波作用下，两个半空间夹层压电材料中的共线裂纹的动力学行为．压电材料层内裂纹垂直于界面，电边界条件假设为可导通．通过Fourier变换，使问题的求解转换为两对三重积分对偶方程．通过数值计算，给出了裂纹的几何尺寸、压电材料常数、入射波频率等对于应力强度因子的影响．结果表明，在不同的入射波频率范围，动力场将阻碍或促使压电材料内裂纹的扩展．与不可导通电边界条件相比，导通裂纹表面的电位移强度因子比不可导通裂纹的电位移强度因子要小许多．
- 弹性波 /
- 压电材料 /
- Fourier变换 /
- Schmidt方法 /
- 裂纹
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 fact ors for the permeable crack surface conditions are much smaller than the results for the impermeable crack surface conditions.
- elastic wave /
- piezoelectric material /
- Fourier integral transform /
- Schmidt method /
- crack

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参考文献(17)

[1]	Deeg W E F.The analysis of dislocation, crack and inclusion problems in piezoelectric solids[D].Ph D thesis.Palo Alto:Stanford University,1980.
[2]	Pak Y E.Crack extension force in a piezoelectric material[J].Journal of Applied Mechanics,1990,57(4):647—653. doi: 10.1115/1.2897071
[3]	Suo Z,Kuo C M,Barnett D M,et al.Fracture mechanics for piezoelectric ceramics[J].Journal of Mechanics and Physics of Solids,1992,40(5):739—765. doi: 10.1016/0022-5096(92)90002-J
[4]	Gao H,Zhang T Y,Tong P.Local and global energy rates for an elastically yielded crack in piezoelectric ceramics[J].Journal of Mechanics and Physics of Solids,1997,45(4):491—510. doi: 10.1016/S0022-5096(96)00108-1
[5]	ZHOU Zhen-gong,WANG Biao,CAO Mao-sheng.Analysis of two collinear cracks in a piezoelectric layer bonded to dissimilar half spaces subjected to anti-plane shear[J].European Journal of Mechanics A/ Solids,2001,20(2):213—226. doi: 10.1016/S0997-7538(00)01108-6
[6]	Suo Z.Models for breakdown-resistant dielectric and ferroelectric ceramics[J].Journal of the mechanics and Physics of Solids,1993,41(6):1155—1176. doi: 10.1016/0022-5096(93)90088-W
[7]	Zhang T Y,Tong P.Fracture mechanics for a mode Ⅲ crack in a piezoelectric material[J].International Journal of Solids and Structures,1996,33(5):343—359. doi: 10.1016/0020-7683(95)00046-D
[8]	Sosa H,Khutoryansky N.Transient dynamic response of piezoelectric bodies subjected to internal electric impulses[J].International Journal of Solids and Structures,1999,36(9):5467—5484. doi: 10.1016/S0020-7683(98)00246-7
[9]	Soh A K,Fang D N,Lee K L.Analysis of a bi-piezoelectric ceramic layer with an interfacial crack subjected to anti-plane shear and in-plane electric loading[J].European Journal of Mechanics, A/Solid,2000,19(6):961—977. doi: 10.1016/S0997-7538(00)01107-4
[10]	ZHOU Zhen-gong,CHEN Jun-ying,WANG Biao.Analysis of two collinear cracks in a piezoelectric layer bonded to two half spaces subjected to anti-plane shear[J].Meccanica,2000,35(5):443—456. doi: 10.1023/A:1010351615603
[11]	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.
[12]	YU Shou-wen,CHEN Zeng-tao.Transient response of a cracked infinite piezoelectric strip under anti-plane impact[J].Fatigue and Engineering Materials and Structures,1998,21(10):1381—1388. doi: 10.1046/j.1460-2695.1998.00108.x
[13]	ZHOU Zhen-gong,LIANG Jun,WANG Biao.Two collinear permeable cracks in a piezoelectric layer bonded to two half spaces[J].Meccanica,2003,38(4):467—475. doi: 10.1023/A:1024672419875
[14]	Morse P M,Feshbach H.Methods of Theoretical Physics[M].Vol 1.New York:McGraw-Hill,1958.
[15]	Srivastava K N,Palaiya K N,Karaulia D S.Interaction of shear waves with two coplanar Griffith cracks situated in an infinitely long elastic strip[J].International Journal of Fracture,1983,23(1):3—14. doi: 10.1007/BF00020153
[16]	Gradshteyn I S,Ryzhik I M.Table of Integral,Series and Products[M].New York:Academic Press, 1980.
[17]	Erdelyi A.Tables of Integral Transforms[M].Vol 1.New York:McGraw-Hill,1954.

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夹层压电材料中垂直于界面的共线双裂纹动力学问题分析

作者简介:
曲贵民(1962- ),男,辽宁人,教授,博士(联系人.Tel:+86-451-86390831;Fax:+86-451-86390830;E-mail:qugmh@yahoo.com.cn).

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Dynamic Behavior of Two Collinear Permeable Cracks in a Piezoelectric Layer Bonded to Two Half Spaces

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夹层压电材料中垂直于界面的共线双裂纹动力学问题分析

作者简介: 曲贵民(1962- ),男,辽宁人,教授,博士(联系人.Tel:+86-451-86390831;Fax:+86-451-86390830;E-mail:qugmh@yahoo.com.cn).

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出版历程

Dynamic Behavior of Two Collinear Permeable Cracks in a Piezoelectric Layer Bonded to Two Half Spaces

计量

出版历程

目录

作者简介:
曲贵民(1962- ),男,辽宁人,教授,博士(联系人.Tel:+86-451-86390831;Fax:+86-451-86390830;E-mail:qugmh@yahoo.com.cn).