无限压电体内共线周期裂纹间的相互作用

崔之健; 胡洪平; 杨峰

无限压电体内共线周期裂纹间的相互作用

1.
西安石油大学石油工程学院, 西安 710065;2.华中科技大学力学系,武汉 430074

基金项目: 中国博士后科学基金资助项目(20070410944)

详细信息

作者简介:
崔之健(1963- ),男,安徽芜湖人,副教授,博士;胡洪平(1973- ),男,江西丰城人,博士(联系人.Tel:+86-27-87559409;E-mail:hhp0066@163.com).

中图分类号: O346.1
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出版历程
- 收稿日期: 2007-07-09
- 修回日期: 2008-06-11
- 刊出日期: 2008-07-15

Interaction Between Collinear Periodic Cracks in an Infinite Piezoelectric Body

1.
College of Petroleum Engineering, Xi'an Shiyou University, Xi'an 710065, P. R. China;

摘要

摘要: 研究了无限压电体内共线周期裂纹间的相互作用的问题，并且考虑了裂纹尖端的饱和条带作用．应用Stroh理论和保角变换方法，得到了共线裂纹的一般周期解A·D2对应力强度因子和饱和条带尺寸进行了理论推导，详细分析了它们与周期长和半裂纹长的比值h/l之间的关系．数值结果表明：1) 当h/l大于4.0时，裂纹之间的相互作用对应力强度因子影响较小，无限压电体内周期裂纹和单裂纹的值几乎相等．这表明当h大于4.0l时，建立裂纹扩展判据时可以近似忽略裂纹之间的相互作用；2) 周期裂纹的饱和条带尺寸趋近于单裂纹值的速度，取决于无穷远处的电载荷，通常无穷远处的电载荷越大，趋近速度越慢．
- 共线周期裂纹 /
- 应力强度因子 /
- 饱和条带 /
- 周期长和半裂纹长比值 /
- 趋近速度
Abstract: The problem of collinear periodic cracks in an infinite piezoelectric body is studied.Effect of saturation strips at the crack-tips was taken into account.By means of Stroh formalism and the conformal mapping technique,the general periodic solutions for collinear cracks were obtained.The stress intensity factors and the size of saturation strips were derived analytically and their dependencies on the ratio of the periodicity to half-length of the crack h/l were analyzed in detail.Numerical results show that:1) when h/l is higher than 4.0,the stress intensity factors become almost identical to the ones for a single crack in an infinite piezoelectric body.It indicates that the interaction between cracks can be ignored in establishing the criterion for crack initiation in the case that h is larger than 4.10;2) the speed of saturation strip size of periodic cracks approaching one of a single crack depends on the electric load applied at infinity.In general,a larger electric load applied at infinity is with a slower approaching speed.
- collinear periodic cracks /
- stress intensity factors /
- saturation strips /
- ratio of periodicity to half-length of crack /
- approaching speed

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参考文献(19)

[1]	Chen Y Z, Lin X Y, Wang Z X. Solution of periodic group crack problems by using the Fredholm integral equation approach[J].Acta Mech,2005,178(1):41-51. doi: 10.1007/s00707-005-0233-3
[2]	Danicki E. Periodic crack-model of comb transducers: efficiency and optimization[J].Archives of Acoustics,2000,25(4):487-508.
[3]	Chen Y Z, Lin X Y.Periodic group crack problems in an infinite plate[J].Internat J Solids and Structure,2005,42(9/10): 2837-2850. doi: 10.1016/j.ijsolstr.2004.09.046
[4]	Hausler C, Gao C F, Balke H.Collinear and periodic electrode-ceramic interfacial cracks in piezoelectric bimaterials[J].Journal of Applied Mechanics,2004,71（4）:486-492. doi: 10.1115/1.1767168
[5]	Zhou Z G, Wang B. Investigation of the interaction of two collinear cracks in anisotropic elasticity materials by means of the nonlocal theory[J].Internat J Engrg Sci,2005,43(13/14):1107-1120. doi: 10.1016/j.ijengsci.2005.05.002
[6]	Hu Y T, Zhao X H.Collinear periodic cracks in an anisotropic medium[J].Internat J Fracture,1995,76(3):207-219.
[7]	Hu Y T, Huang Y Y.Periodic inclusions in anisotropic elasticity[J].Internat J Engrg Sci,1996,34(14):1623-1630. doi: 10.1016/S0020-7225(96)00050-X
[8]	Hu Y T, Huang Y Y, Zhong W F.Boundary value problems of two-dimensional anisotropic body with a parabolic boundary[J].Acta Mech Solids Sinica,1996,9（2）:139-150.
[9]	Hu Y T, Huang Y Y, Cheng L Z,et al.Periodic elliptic holes in anisotropic elasticity[J].Mech Res Commun,1998,25(2): 171-178. doi: 10.1016/S0093-6413(98)00021-4
[10]	Hu Y T, Huang Y Y, Zhong W F.Collinear periodic crack in anisotropic bimaterials[J].Internat J Fracture,1997,85(1):69-80. doi: 10.1023/A:1007334224772
[11]	Hu Y T, Huang Y Y, Lingzhi C,et al.Periodic elliptic holes in anisotropic elasticity[J].Mech Res Commun,1998,25(2):171-178. doi: 10.1016/S0093-6413(98)00021-4
[12]	Hwu C, Ting T C T.Two-dimensional problems of the anisotropic elastic solid with an elliptic inclusion[J].The Quarterly Journal of Mechanics and Applied Mathematics,1989,42(4):553-572. doi: 10.1093/qjmam/42.4.553
[13]	Li Q, Ting T C T. Line inclusions in anisotropic elastic solids[J].Journal of Applied Mechanics,1989,56(3):556-563. doi: 10.1115/1.3176127
[14]	Gao C F, Wang M Z.Periodical cracks in piezoelectric media[J].Mech Res Commun,1999,26(4):427-432. doi: 10.1016/S0093-6413(99)00044-0
[15]	Gao C F, Hausler C,Balke H. Periodic permeable interface cracks in piezoelectric materials[J].Internat J Solids and Structures,2004,41(2):323-335. doi: 10.1016/j.ijsolstr.2003.09.044
[16]	Hao T. Periodical collinear air containing cracks in a piezoelectric material[J].Internat J Fracture,2001,112(3):197-204. doi: 10.1023/A:1013588221105
[17]	Zhang T Y, Gao C F. Fracture behaviors of piezoelectric materials[J].Theoret Appl Fracture Mech,2004,41(1/3):339-379. doi: 10.1016/j.tafmec.2003.11.019
[18]	Yang X H, Chen C Y, Hu Y T,et al.A half-infinite coupled crack on an interface of piezoelectric bimaterials without oscillation[J].The Chinese Journal of Mechanics,2003,19(1):241-245.
[19]	王自强. 压电材料裂纹顶端条状电饱和区模型的力学分析[J].力学学报,1999,31(3):311-319.

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文章访问数: 3327
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无限压电体内共线周期裂纹间的相互作用

作者简介:
崔之健(1963- ),男,安徽芜湖人,副教授,博士;胡洪平(1973- ),男,江西丰城人,博士(联系人.Tel:+86-27-87559409;E-mail:hhp0066@163.com).

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Interaction Between Collinear Periodic Cracks in an Infinite Piezoelectric Body

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留言板

无限压电体内共线周期裂纹间的相互作用

作者简介: 崔之健(1963- ),男,安徽芜湖人,副教授,博士;胡洪平(1973- ),男,江西丰城人,博士(联系人.Tel:+86-27-87559409;E-mail:hhp0066@163.com).

计量

出版历程

Interaction Between Collinear Periodic Cracks in an Infinite Piezoelectric Body

计量

出版历程

目录

作者简介:
崔之健(1963- ),男,安徽芜湖人,副教授,博士;胡洪平(1973- ),男,江西丰城人,博士(联系人.Tel:+86-27-87559409;E-mail:hhp0066@163.com).