广义混合奇异元及应力强度因子分析  

Generalized mixed singular element and stress intensity factor analysis

作　　者：贺立 卿光辉[1] HE Li;QING Guanghui(School of Aeronautical Engineering,Civil Aviation University of China,300300 Tianjin,China)

机构地区：[1]中国民航大学航空工程学院,天津300300

出　　处：《应用力学学报》2025年第1期91-98,共8页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金资助项目(No.11502286)。

摘　　要：采用位移法求解裂纹的应力强度因子,不方便引入裂纹边上已知的应力边界条件,模型有失理性与客观。融合奇异元的思想,提出了用于分析含裂纹二维结构的应力强度因子的广义混合奇异元列式,基于该列式的有限元模型兼顾了裂纹尖端力学参量的奇异性和裂纹边应力边界条件的引入。实例分析表明,该方法的应力强度因子结果收敛稳定可靠。同时分析了应力边界条件对数值结果的影响,结果表明考虑裂纹边应力边界条件时应力强度因子精度更高。The known stress boundary conditions cannot be introduced conveniently at the crack edge when solving the stress intensity factor of crack with the displacement method,so the model is unrealistic.Based on the singular element theory,a generalized mixed singular element sequence is proposed to analyze the stress intensity factors of two-dimensional structures with crack.The finite element model based on the singular element sequence takes into account the singularity of mechanical parameters at the crack tip and the introduction of stress boundary conditions at the crack edge.The results of examples show that the convergence of stress intensity factor is stable and reliable.The influence of stress boundary conditions on the numerical results is analyzed,and the results of stress intensity factor considering stress boundary conditions at the edge of crack are more accurate.

关 键 词：奇异性 广义混合奇异元 应力强度因子 裂纹 应力边界条件 

分 类 号：O343.1[理学—固体力学]