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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.
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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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