中文摘要：

目前远场压应力作用下分支裂纹扩展过程中,其应力强度因子的计算模型中,经常将曲线分支裂纹简化为直线分支裂纹处理,忽略了分支裂纹扩展路径的曲线效应。基于这个考虑,在远场压应力作用下曲线分支裂纹扩展路径数学描述的基础上,建立了曲线分支裂纹模型,该模型可以考虑分支裂纹扩展过程中的曲线效应,进而计算出了曲线分支裂纹扩展过程中应力强度因子。基于ABQUS二次开发实现了对裂纹扩展过程的数值模拟,并将数值计算得出的应力强度因子与所建立的曲线分支裂纹模型解进行对比分析,验证了该模型的可行性,同时将曲线分支裂纹模型解与原有的直线分支裂纹模型解进行了对比,表明了建立曲线分支裂纹模型的必要性。

英文摘要：

In the previous research of the stress intensity factors for the branch crack of the closed flaw under compressive loading,the curve branch crack was often simplified as a straight crack,and the curve effects of the branch crack propagation path was always neglected.To overcome this deficiency,the curve branch crack model is set up based on the mathematical description of the curve branch crack propagation paths,in which the curve effects of the branch crack propagation paths are considered.By the model,the stress intensity factors of the branch crack are solved.Further more,the branch crack propagation process is simulated numerically by the secondary development of ABAQUS,and the stress intensity factors of the branch crack are obtained.And thereby the comparative analysis on the stress intensity factors by the curve branch crack model in the paper,by the numerical simulation and by the branch crack model in the previous research is carried out,which shows the validity and necessity of the curve branch crack model proposed in the paper.