The solution of integral equations with strongly singular kernels applied to the torsion of cracked circular cylinder

In this paper,the functions of warping displacement interruption defined on the crack lines are taken for the fundamental unknown functions.The torsion problem of cracked circular cylinder is reduced to solving a system of integral equations with strongly singular kernels.Using the numerical method of these equations,the torsional rigidities and the stress intensity factors are calculated to solve the torsion problem of circular cylinder with star-type and other different types of cracks.The numerical results are satisfactory.     

带裂纹组合柱的扭转

本文联合使用组合柱体扭转的单层势函数解及均质柱体扭转的单裂纹解,对带有裂纹的组合柱体的扭转作了讨论,最后将问题归结为解一组混合型积分方程,并为其建立了数值方法,对于裂纹与材料分界面接触的情形,本文通过积分方程组的主部分析,精确地求得了奇性指数的特征方程。文中对组合柱的抗扭刚度和裂纱端点的应力强度因子作了数值计算,与文献上已有的结果符合很好。