摘要
本文对内部出现在任意位置的直线裂纹的圆柱体在力与裂纹垂直时的弯曲问题,用弹性理论复变函数方法进行了讨论。得到了位移、应力和应力强度因子用级数表示的表达式;给出了计算应力强度因子的近似式;附表还列出了大量的应力强度因子之值。从表中可以看到近似式给出了好的近似,在很大的范围内,其误差小手或远小于1％。
This paper deals with the bending problems of a cylinder containi an internal linear crack at any posit ion under an acting force perpendicular to the crack The general forms of displacement, stresses and stress-intensity factors, expressed in terms of series, are obtained and the approximate formulas for the stresstintensity factors are presented. A number of values of steess-intensity factors are calculated and given in tables. From which we may evidently see that the approximate values are availabe in a wide range and it's relative errors are small or far small than 1％.
关键词
圆柱体弯曲
应力强度因子
裂纹
bending of a cylinder
crack
shear stress field
transeverse bending stress-intensity
factors
