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。
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, Schwatz 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.
出处
《应用数学和力学》
EI
CSCD
北大核心
2003年第8期865-873,共9页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10272009)
航空科学基金资助项目(99G51022)
关键词
螺旋位错
位错力
非均匀材料
界面
复变函数方法
screw dislocation
dislocation force
inhomogeneous materials
interphase layer
complex potential method