带径向边裂纹圆盘的权函数和旋转应力强度因子

Weight function of a disk containing a radial edge crack and rotating stress intensity factors

采用裂纹在均布压力作用下的应力强度因子为参考载荷,通过Petroski和Achenbach的裂纹面张开位移公式推导出了内壁带径向边裂纹的圆盘的权函数,进而得到了计算旋转圆盘裂纹尖端处的应力强度因子公式。该公式可计算旋转圆盘在不同裂纹深度、转速、材料和尺寸情况下的应力强度因子。与有关文献比较,表明本文的公式具有良好的精度。同时文中还研究了旋转圆盘应力强度因子随裂纹深度和圆盘直径之间的变化规律,方便了工程应用。

The equation of stress intensity factors of uniform pressure was used as the reference case and the crack opening displacement for the reference problem was calculated with a method proposed by Petroski and Achenbach,weight function equations of a disk containing a radial edge crack was worked out. Furthermore,the stress intensity factor equation of rotating disk containing a radial edge crack was presented in weight function method. The formulas can be used for all kinds of depth of cracks, rotating speed, material, diameter of disk to calculate the stress intensity factors. Comparing to some literature, the results indicated the validity and effectiveness of these formulas. Meanwhile, the rules of the stress intensity factors in rotating disk with the change of the ratio of crack depths to diameter and the size of disk were studied. The studies are valuable to engineering application.