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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

曲贵民 周振功 王彪

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[J]. 应用数学和力学, 2005, 26(10): 1152-1160.
引用本文: 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[J]. 应用数学和力学, 2005, 26(10): 1152-1160.
QU Gui-min, ZHOU Zhen-gong, WANG Biao. Dynamic Behavior of Two Collinear Permeable Cracks in a Piezoelectric Layer Bonded to Two Half Spaces[J]. Applied Mathematics and Mechanics, 2005, 26(10): 1152-1160.
Citation: QU Gui-min, ZHOU Zhen-gong, WANG Biao. Dynamic Behavior of Two Collinear Permeable Cracks in a Piezoelectric Layer Bonded to Two Half Spaces[J]. Applied Mathematics and Mechanics, 2005, 26(10): 1152-1160.

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

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

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

  • 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.
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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

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