| 夹杂与基体对界面层螺旋位错的干涉效应 |
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| 引用本文： | 蒋持平,刘又文,徐耀玲. 夹杂与基体对界面层螺旋位错的干涉效应[J]. 应用数学和力学, 2003, 24(8): 865-873 |
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| 作者姓名： | 蒋持平 刘又文 徐耀玲 |
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| 作者单位： | 1.北京航空航天大学, 飞行器设计与应用力学系, 北京 100083; |
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| 基金项目： | 国家自然科学基金资助项目(10272009)，航空科学基金资助项目(99G51022) |
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| 摘 要： | 研究圆形夹杂与基体对有限厚度界面层螺旋位错的干涉问题。结合复变函数的分区亚纯函数理论、施瓦兹对称原理与柯西型积分运算,发展了多连通域联结问题的一个有效分析方法,将3个区域应力函数的联结问题化归为界面层应力函数的函数方程,并求得了显式级数解。利用该结果,研究与讨论了界面层螺旋位错能与位错力。
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| 关 键 词： | 螺旋位错 位错力 非均匀材料 界面 复变函数方法 |
| 文章编号： | 1000-0887(2003)08-0865-09 |
| 收稿时间： | 2001-12-30 |
| 修稿时间： | 2001-12-30 |
Interaction of a Screw Dislocation in the Interphase Layer With the Inclusion and Matrix |
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| Affiliation: | 1.Department of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China;2.Department of Engineering Mechanics, Hunan University, Changsha 410082, P. R. China |
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| Abstract: | The interaction of a screw dislocation in the interphase layer with the circular inhomogeneity and matrix was dealt with.An efficient method for multiply connected regions was developed by combining the sectionally subholomorphic function theory,Schwarz symmetric principle and Cauchy integral technique.The Hilbert problem of the complex potentials for three material regions was reduced to a functional equation in the complex potential of the interphase layer,resulting in an explicit series solution.By using the present solution the interaction energy and force acting dislocation were evaluated and discussed. |
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| Keywords: | screw dislocation dislocation force inhomogeneous materials interphase layer complex potential method |
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