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压电螺型位错和含界面裂纹圆形夹杂的电弹干涉效应

刘又文 方棋洪

刘又文, 方棋洪. 压电螺型位错和含界面裂纹圆形夹杂的电弹干涉效应[J]. 应用数学和力学, 2004, 25(12): 1305-1312.
引用本文: 刘又文, 方棋洪. 压电螺型位错和含界面裂纹圆形夹杂的电弹干涉效应[J]. 应用数学和力学, 2004, 25(12): 1305-1312.
LIU You-wen, FANG Qi-hong. Electroelastic Interaction Between a Piezoelectric Screw Dislocation and a Circular Inhomogeneity With Interfacial Cracks[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1305-1312.
Citation: LIU You-wen, FANG Qi-hong. Electroelastic Interaction Between a Piezoelectric Screw Dislocation and a Circular Inhomogeneity With Interfacial Cracks[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1305-1312.

压电螺型位错和含界面裂纹圆形夹杂的电弹干涉效应

基金项目: 国家自然科学基金资助项目(10272009);湖南省自然科学基金资助项目(02JJY2014)
详细信息
    作者简介:

    刘又文(1948- ),男,湖南益阳人,教授,博士生导师(联系人.Tel:+86-731-8821889;Fax:+86-731-8822330;E-mail:Liuyouw8294@sina.com).

  • 中图分类号: O343.7

Electroelastic Interaction Between a Piezoelectric Screw Dislocation and a Circular Inhomogeneity With Interfacial Cracks

  • 摘要: 研究了在无穷远反平面剪切和面内电场共同作用下压电材料基体中一个压电螺型位错与含界面裂纹圆形弹性夹杂的电弹耦合干涉作用.运用复变函数方法,获得了该问题的一般解答.作为典型算例,求出了界面含一条裂纹时,基体和夹杂区域复势函数的封闭形式解以及裂纹尖端应力和电位移场强度因子.应用扰动技术和广义Peach-Koehler公式,导出了位错力的解析表达式.数值结果表明,界面裂纹对压电螺型位错与夹杂的干涉具有强烈扰动效应,当裂纹长度达到临界值时,可以改变其干涉机理.同时,分析说明压电材料中软夹杂可以排斥基体中的位错.
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出版历程
  • 收稿日期:  2003-03-23
  • 修回日期:  2004-06-08
  • 刊出日期:  2004-12-15

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