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针对工程结构中常见的孔边裂纹问题,利用Muskhelishvili复变函数法和有限截项法计算了无限大板内椭圆孔边任意长度双裂纹在任意角度远场均布拉伸应力情况下的复合型应力强度因子,并与相关文献的计算结果进行了对比。应用复变函数法和有限截项法计算的应力强度因子,与闫相桥的边界元解和FRANC3D软件的有限元解基本一致,同时指出部分文献给出的应力强度因子解析解在裂纹长度与椭圆孔长轴比值较小的情况下存在较大误差。结果表明,复变函数法和有限截项法不仅适用于无限大板内椭圆孔边裂纹对称的情况,孔边裂纹不对称时同样适用,在工程断裂问题中有较好的应用价值。
Aiming at the problem of hole edge cracks commonly found in engineering structures, the complex type of double crack with arbitrary length on elliptical hole in infinite plate under uniform tensile stress in far field at any angle is calculated by the complex function of Muskhelishvili and the method of finite intercept. Stress intensity factor, and compared with the related literature. The stress intensity factor calculated by the complex function method and the finite cut-off method is basically the same as the finite element solution of FRANC3D software and the boundary element solution of Yan Xiangqiao. Meanwhile, it is pointed out that the analytical solutions of stress intensity factor There is a large error in the case of a smaller long axis ratio. The results show that the complex function method and the finite cut - off method are not only suitable for the case of symmetrical crack on the edge of an elliptical hole in an infinite plate, but also for the crack asymmetry on the hole edge, which has a good application value in engineering fault.