含裂纹有限板裂纹面混合边值问题的积分方程解法

来源期刊：中南大学学报(自然科学版)1987年第1期

论文作者：文丕华

文章页码：85 - 92

关键词：平板； 裂纹； 混合边界； 叠加原理； 积分方程； 应力强度因子

Key words：flat plates； cracks； compound boundaryvsuperposition principle； integral equation； stress intensity factor

摘    要：本文采用弹性力学叠加原理,把含裂纹板问题分解为两个无限平板叠加,前者在原外部边界上作用以虚拟的的分布力;后者为含线裂纹无限平板,在某裂纹表面上作用以虚拟载荷;两者叠加后满足所有边界条件.建立了Fredholm 积分方程组,通过数值求解,求得有限板含裂纹混合边值问题的应力强度因子.

Abstract: According to the superposition principle in elasticity,this paper resolved the problem of finite cracked plate into the superposition of two infinite plate problems.One plate is subjected to the fictitious load acted on the original external boundary;and the other on the crack surface.When these two fictitious loads were superposed,all boundary conditions should be satisfied.Thus a set of Fredholm integral equations was established.The stress intensity factors of finite cracked plate for mix-boundary value problems on the crack surface were calculated numerically.