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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

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[J]. 应用数学和力学, 2008, 29(7): 783-789.
引用本文: 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[J]. 应用数学和力学, 2008, 29(7): 783-789.
CUI Zhi-jian, HU Hong-ping, YANG Feng. Interaction Between Collinear Periodic Cracks in an Infinite Piezoelectric Body[J]. Applied Mathematics and Mechanics, 2008, 29(7): 783-789.
Citation: CUI Zhi-jian, HU Hong-ping, YANG Feng. Interaction Between Collinear Periodic Cracks in an Infinite Piezoelectric Body[J]. Applied Mathematics and Mechanics, 2008, 29(7): 783-789.

无限压电体内共线周期裂纹间的相互作用

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

Interaction Between Collinear Periodic Cracks in an Infinite Piezoelectric Body

  • 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.
  • [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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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

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