Creep fracture mechanics has been extensively studied in the past half a century, but the gap between the creep crack-tip asymptotic field and crack growth prediction has not been effectively bridged so far, hindering the development of high temperature damage tolerance design. Here a predicting model is developed for three-dimensional crack growth in power-law creeping solids with the C(t)_PC-T_z asymptotic solution being applied to quantify the creep crack growth driving force. The local resistance for creep crack growth in three-dimensional cracked structures is then described and evaluated based on the micro-cavity growth and constraint theories. Validation against forty-four crack growth experimental data for eleven creeping materials with deferent properties and specimen geometries and subjected to different load level in the literature shows that the proposed model can effectively predict the creep crack growth rate and provide the upper and lower limits. In all cases, the predicted crack growth life is within a triple error band around the experimental data. All the needed material parameters can be obtained from tension tests of standard uniaxial round bar specimens. Therefore, the proposed model can bridge the C(t)_PC-T_z asymptotic solution with creep crack growth in practical materials and specimens, paving a road to predict damage tolerance of three-dimensional cracked structures at high temperature.

半个世纪以来，蠕变断裂力学得到了广泛的研究，但迄今为止，蠕变裂尖渐近场与裂纹扩展预测之间的差距仍未得到有效弥合，阻碍了高温损伤容限设计的发展。这里建立了一个预测模型，用于幂律蠕变固体中的三维裂纹扩展，其中C ( t ) _PC - T _z渐近解被应用于量化蠕变裂纹扩展驱动力。然后基于微腔生长和约束理论描述和评估了三维裂纹结构中蠕变裂纹扩展的局部阻力。对文献中 11 种具有不同特性和试样几何形状并承受不同载荷水平的蠕变材料的 44 条裂纹扩展实验数据进行验证表明，所提出的模型可以有效地预测蠕变裂纹扩展速率并提供上限和下限。在所有情况下，预测的裂纹扩展寿命都在实验数据周围的三倍误差范围内。所有需要的材料参数都可以从标准单轴圆棒试样的拉伸试验中获得。因此，所提出的模型可以桥接C ( t ) _PC - T _z在实际材料和试件中具有蠕变裂纹扩展的渐近解，为预测高温下三维裂纹结构的损伤容限铺平了道路。