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有限高狭长压电体中半无限反平面裂纹分析

郭俊宏 刘萍 卢子兴 秦太验

郭俊宏, 刘萍, 卢子兴, 秦太验. 有限高狭长压电体中半无限反平面裂纹分析[J]. 应用数学和力学, 2011, 32(1): 72-78. doi: 10.3879/j.issn.1000-0887.2011.01.008
引用本文: 郭俊宏, 刘萍, 卢子兴, 秦太验. 有限高狭长压电体中半无限反平面裂纹分析[J]. 应用数学和力学, 2011, 32(1): 72-78. doi: 10.3879/j.issn.1000-0887.2011.01.008
GUO Jun-hong, LIU Ping, LU Zi-xing, QIN Tai-yan. Anti-Plane Analysis of a Semi-Infinite Crack in a Piezoelectric Strip[J]. Applied Mathematics and Mechanics, 2011, 32(1): 72-78. doi: 10.3879/j.issn.1000-0887.2011.01.008
Citation: GUO Jun-hong, LIU Ping, LU Zi-xing, QIN Tai-yan. Anti-Plane Analysis of a Semi-Infinite Crack in a Piezoelectric Strip[J]. Applied Mathematics and Mechanics, 2011, 32(1): 72-78. doi: 10.3879/j.issn.1000-0887.2011.01.008

有限高狭长压电体中半无限反平面裂纹分析

doi: 10.3879/j.issn.1000-0887.2011.01.008
基金项目: 国家自然科学基金资助项目(10932001;11072015);北京市教育委员会共建项目建设计划资助项目(KZ201010005003);高等学校博士学科点专项科研基金资助项目(20101102110016);北京航空航天大学博士创新基金(300351)的资助
详细信息
    作者简介:

    郭俊宏(1981- ),男,内蒙古乌兰察人,博士生(E-mail:guojunhong@ase.buaa.edu.cn);卢子兴(1960- ),男,河北枣强人,教授,博士生导师(联系人.Tel:+86-10-82317507;Fax:+86-10-82328501;E-mail:luzixing@buaa.edu.cn).

  • 中图分类号: O346.1

Anti-Plane Analysis of a Semi-Infinite Crack in a Piezoelectric Strip

  • 摘要: 利用保角变换和复变函数方法,研究了裂纹面上受反平面剪应力和面内电载荷共同作用下的有限高狭长压电体中半无限裂纹的断裂问题,给出了电不可通边界条件下裂纹尖端场强度因子和机械应变能释放率的解析解.当狭长体高度趋于无限大时,可得到无限大压电体中半无限裂纹的解析解.若不考虑电场作用,所得解可退化为纯弹性材料的已知结果.此外,通过数值算例,分析了裂纹面上受载长度、狭长体高度以及机电载荷对机械应变能释放率的影响规律.
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出版历程
  • 收稿日期:  2010-09-06
  • 修回日期:  2010-11-17
  • 刊出日期:  2011-01-15

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