圆柱壳孔边裂纹应力强度因子的计算和分析

Stress Intensity Factors in a Cylinderical Shell with Cracks Oringinating From a Hole

从Reissner壳体理论出发,将“局部-整体分析法”应用于圆柱壳孔边裂纹问题,比较精确地计算了圆柱壳孔边轴向裂纹和环向裂纹的应力强度因子,获得了应力强度因子随壳体几何尺寸、开孔大小及剪切刚度变化的规律。以作者在文[7,8]中的有限元分析结果为基础,推广Petroski-Achenbach方法,建立圆柱壳孔边裂纹问题的权函数,分析计算了圆柱壳孔边裂纹问题,获得了较好的结果,最后给出了便于工程应用的较精确的计算鼓胀系数的近似公式。

Through Reissner' s theory, the accurate stress intensity factors in a cylinderical shell with axial and circumference cracks oringinating from a hole have been obtainted separately by using local-global analysis method. Based on the results of [7,8],the weight functions of cylinderical shells have been established by extending Petroski-A chenbach method, and the stress intensity factors have also been obtained. The results are satisfactory. Finally, the convenient approximate formulae used to calculate the bulk factors for engineering uses are proposed.