摘要
本文运用复变函数及积分方程方法,求解了圆形域多圆孔多裂纹反平面问题,建立了两种类型的基本解。利用叠加原理和所得的基本解并沿圆孔和裂纹表面取待定的基本解密度函数,可得到一组以基本解密度函数为未知函数的Fredholm积分方程。通过该积分方程组的数值求解可以得到密度函数的离散值,进而得到裂纹尖端的应力强度因子。
By the use of the method of complex variables and the method of integral equation, the crack problem for the antiplane multiple holes on a circular region of a solid is studied and is presented in this paper. In order to solve the proposed problem, two kinds of elementry solutions are presented. Relying upon the proposed elementary solutions and taking density functions of the elementary solutions along holes and crack surface of the solid as undetermined functions, a group of Fredholm integral equations can be established. With the numerical solution of these integral equations, values of the stress intensity factor at the crack tips can be calculated.
出处
《上海力学》
CSCD
1998年第4期360-366,共7页
Chinese Quarterly Mechanics
关键词
反平面
多圆孔
多裂纹
圆形域
应力强度固子
antipiane, multiple holes, multiple cracks, circular region, stress intensity factor.
