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利用三维断裂力学的超奇异积分方程方法,对双材料空间中重直于界面的平片裂纹Ⅰ型问题进行了研究。首先根据双材料空间的弹性力学基本解,使用边界积分方程方法,在有限部积分的意义下导出了以裂纹面位移间断为未知函数的超奇异积分方程,并为其建立了数值法。在此基础上,讨论了用裂纹面位移间断计算应力强度因子的方法。最后用此计算了几个典型的Ⅰ型平片裂纹问题的应力强度因子,其数值结果令人满意。
Using the method of hyper - singular integral equation of three - dimensional fracture mechanics, the problem of type Ⅰ crack in the bimaterial space, which is perpendicular to the interface, has been studied. Firstly, based on the basic solution of elastic mechanics in bimaterial space, the boundary integral equation method is used to derive the super-singular integral equation with discontinuous crack displacement as unknown function in the sense of finite integral. The numerical method is established. On this basis, the method of calculating stress intensity factor by discontinuity of crack surface is discussed. Finally, the stress intensity factors of several typical type I plain crack problems are calculated, and the numerical results are satisfactory.