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圆形界面刚性线夹杂的平面问题

刘又文 方棋洪

刘又文, 方棋洪. 圆形界面刚性线夹杂的平面问题[J]. 应用数学和力学, 2005, 26(12): 1436-1444.
引用本文: 刘又文, 方棋洪. 圆形界面刚性线夹杂的平面问题[J]. 应用数学和力学, 2005, 26(12): 1436-1444.
LIU You-wen, FANG Qi-hong. Plane Elastic Problem on the Rigid Lines Along a Circular Inclusion[J]. Applied Mathematics and Mechanics, 2005, 26(12): 1436-1444.
Citation: LIU You-wen, FANG Qi-hong. Plane Elastic Problem on the Rigid Lines Along a Circular Inclusion[J]. Applied Mathematics and Mechanics, 2005, 26(12): 1436-1444.

圆形界面刚性线夹杂的平面问题

基金项目: 国家自然科学基金资助项目(10472030)
详细信息
    作者简介:

    刘又文(1948- ),男,湖南益阳人,教授,硕士,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

Plane Elastic Problem on the Rigid Lines Along a Circular Inclusion

  • 摘要: 研究了圆弧形界面刚性线夹杂的平面弹性问题.集中力作用于夹杂或基体中的任意点,并且无穷远处受均匀载荷作用.利用复变函数方法,得到了该问题的一般解答.当只含一条界面刚性线夹杂时,获得了分区复势函数和应力场的封闭形式解答,并给出刚性线端部奇异应力场的解析表达式.结果表明,在平面荷载下界面圆弧形刚性线夹杂尖端应力场和裂纹尖端相似具有奇异应力振荡性.对无穷远加载的情况,讨论了刚性线几何条件、加载条件和材料失配对端部场的影响.
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  • 被引次数: 0
出版历程
  • 收稿日期:  2004-03-03
  • 修回日期:  2005-08-02
  • 刊出日期:  2005-12-15

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