关于多裂纹圆柱体的扭转*

本文在文1]基础上,导出了含有任意分布裂纹系的圆柱扭曲函数的解析表达式,从而把问题化为以未知位错密度函数表示的奇异积分方程组.文中利用奇异积分方程的数值方法2,7],对带有多根裂纹的圆柱的抗扭刚度和应力强度因子作了若干数值计算.此外,本文还首次将裂纹切割法5]推广用于求解矩形柱的扭转,数值结果表明方法是成功的.

On the Torsion of a Cylinder with Several Cracks

In this paper,based on paper 1],the analytic expression of the torsion Junction for a cylinder containing arbitrary oriented cracks is obtained.The problem is reduced to solve a system of singular integral equations for the unknown dislocation density functions.Using the numerical method of the singular integral equations2,7],the torsional rigidities and stress intensity factors are evaluated for several multicracked cylinders.Next,the crk-cutting method5] is firstly extended to lve the torsion problem for a rectangular prism.The numerical results show that the method presented here is successful.