Propagation of a semi-elliptical crack on the suction surface of a rotating blade of a gas turbine compressor is modelled and analysed. The analytical solution for the stress intensity factor (SIF) at the deepest point of the crack shows that the SIF increases with an increase in the crack depth and rotation speed, whereas the SIF decreases with an increase in the semi-elliptical aspect ratio and crack-rotation axis distance. The SIF increase rate with increasing crack depth is found to depend on the aspect ratio. Comparisons of theoretical and numerical calculation results reveal a relative error within 4%. The SIF distribution along the semi-elliptical surface crack front at different depths, positions, and aspect ratios are obtained by a numerical method.

中文翻译：

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旋转压气机叶片半椭圆表面裂纹应力强度因子的计算

对燃气轮机压缩机旋转叶片吸力面上半椭圆裂纹的扩展进行建模和分析。裂纹最深处应力强度因子（SIF）的解析解表明，SIF随着裂纹深度和转速的增加而增加，而SIF随着半椭圆纵横比和裂纹的增加而减小。 - 旋转轴距离。发现随着裂纹深度增加的 SIF 增加率取决于纵横比。理论和数值计算结果的比较显示，相对误差在4%以内。通过数值方法得到了不同深度、位置和纵横比下沿半椭圆表面裂纹前沿的SIF分布。