拉伸和弯曲载荷作用下含R槽方形壳角裂纹应力强度因子计算  

Stress Intensity Factor of Angular Crack of Square R⁃fluted Shell under Tension and Bending Load

作　　者：李龙[1] LI Long(School of Architecture and Civil Engineering,Xi′an University of Science and Technology,Xi′an 710054,China)

机构地区：[1]西安科技大学建筑与土木工程学院,西安710054

出　　处：《焊管》2023年第9期25-32,共8页Welded Pipe and Tube

摘　　要：为了求解拉伸和弯曲载荷作用下裂纹截面上多个不同的奇异应力场的应力强度因子,在断裂力学理论基础上,运用J2积分法和材料力学中平截面假设,以含R槽方形壳对称穿透角裂纹的应力强度因子为例进行分析研究。结果表明,J2积分法以及材料力学中平截面假设可用于确定拉伸和弯曲载荷作用下裂纹截面不同应力场对应的应力强度因子;提出的不同应力强度因子之间的关系式简化了具有复杂裂纹的含裂纹工程构件的应力强度因子求解,为解决复杂应力场所对应的应力强度因子问题提供了思路。同时将有限元解与本研究解进行了比较,两者吻合较好。In order to solve the stress intensity factors(SIF)of the crack section with multiple different singular stress fields under tension and bendingload,based on the theory of fracture mechanics,the J2 integral method and the plane section assumption in material mechanics are used to analyze the SIF of symmetric penetrating angular crack of the square R-fluted shell.The results show that the J_(2) integral method and the plane section assumption in material mechanics can be used to determine the SIFs corresponding to the different stress fields of the crack section under tension and bendingload.The simple relationship between different SIFs is proposed to simplify the solution of stress intensity factors for cracked engineering members with complex cracks,which provides a way to solve the problem of SIFs corresponding to complex stress fields.At the same time,the comparison between the FEM and present method is given.The SIFs calculated by using of the present method agree well with the FEM results.

关 键 词：R槽壳 弯曲载荷 角裂纹 J2积分 应力强度因子 

分 类 号：TG155.5[金属学及工艺—热处理]