基于二次插值重构有限元法的动态裂纹扩展模拟  

Dynamic crack growth simulation based on twice-interpolation finite element method

作　　者：王玉光 李忠文 吴圣川[2] 臧晓蕾 王燕 

机构地区：[1]中车青岛四方机车车辆股份有限公司,山东青岛266111 [2]西南交通大学牵引动力国家重点实验室,成都610031

出　　处：《计算机辅助工程》2017年第3期61-65,共5页Computer Aided Engineering

基　　金：国家自然科学基金面上项目(11572267);中国铁路总公司科技研究开发计划重点项目(2015J007-J)

摘　　要：基于二次插值重构有限元法(Twice-interpolation Finite Element Method,TFEM)分析动态断裂力学问题并进行数值实验,考察TFEM在裂纹动态扩展模拟中的准确性和可靠性.由于TFEM保证节点处梯度场的连续性,因此裂尖附近的应力场可以得到较好的逼近.把该算法成功移植到自主开发的三维裂纹扩展仿真软件(ZonCrack)中.利用ZonCrack进行的裂纹扩展,分析结果表明:TFEM得到裂尖应力强度因子(Stress Intensity Factor,SIF)与解析解基本一致;裂纹扩展的模拟结果与实验值吻合良好.To investigate the validity and reliability of Twice-interpolation Finite Element Method（ TFEM） in dynamic crack growth simulation,the dynamic fracture problem is analyzed by TFEM and a numerical test is performed. It is an excellent property of continuous nodal gradient by which TFEM can approach the stress field at the tip of growing crack. The algorithm is well incorporated into a selfdevelopment fracture mechanics software termed as ZonCrack,which is a self-developed software for 3D crack growth simulation. The crack growth analysis results obtained by ZonCrack show that the Stress Intensity Factor（ SIF） at tips obtained by TFEM is in good agreement with analytical solution,and the results of crack growth simulation show a good agreement with the experimental results.

关 键 词：插值重构有限元 断裂力学 疲劳裂纹扩展 裂纹尖端场 损伤容限 ZonCrack软件 

分 类 号：O346.1[理学—固体力学]