摘要
本文利用复变函数方法导出了含孔边单侧裂纹有限大板应力与位移的全场表达式,满足所有基本方程、裂纹表面边界条件与复连通域位移单值条件。应用变分原理满足其余的边界条件并由此求解应力强度因子与应力集中系数。在变分方程中,只存在线积分,没有面积分。故本方法收敛迅速、节省机时。
In this paper, a complex variable method is used to derive the expressions of stress and displacement field of a finite plate containing a single holeedge crack. In the derivation of solution, the equations of equilibrium and compatibility, the traction free condition on crack surfaces and the single valued condition of displacement are satisfied. The coefficients of series are determined by principle of minimum potential energy. In the variational equation, there is only line integral. The results converge to the correct values rapidly.
出处
《航空学报》
EI
CAS
CSCD
北大核心
1990年第9期A496-A504,共9页
Acta Aeronautica et Astronautica Sinica
关键词
裂纹
孔边
飞机
解析变分法
hole-edge crack, single valued condition of displace-ment, variable method.
