[1]王建明,李钊全,李博志.基于光滑-扩展有限元法的裂纹扩展研究[J].郑州大学学报(工学版),2022,43(02):51-57.[doi:10.13705/j.issn.1671-6833.2022.02.014]
　WANG Jianming,LI Zhaoquan,LI Bozhi.Research on Crack Propagation Based on Smooth-extended Finite Element Method[J].Journal of Zhengzhou University (Engineering Science),2022,43(02):51-57.[doi:10.13705/j.issn.1671-6833.2022.02.014]
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基于光滑-扩展有限元法的裂纹扩展研究()
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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:
43
期数:
2022年02期
页码:
51-57
栏目:
出版日期:
2022-02-27

文章信息/Info

Title:
Research on Crack Propagation Based on Smooth-extended Finite Element Method
作者:
王建明; 李钊全; 李博志
山东大学机械工程学院;

Author(s):
WANG Jianming;  LI Zhaoquan;  LI Bozhi
School of Mechanical Engineering, Shandong University, Jinan 250061, China
关键词:
Keywords:
smooth-extended finite element method;  stress intensity factor;  crack propagation;  numerical simulation;  MATLAB programming
分类号:
O346.1
DOI:
10.13705/j.issn.1671-6833.2022.02.014
文献标志码:
A
摘要:
本文将光滑有限元法与扩展有限元法相结合，形成光滑-扩展有限元法，用于研究裂纹扩展问题。首先基于光滑-扩展有限元法理论形成裂纹应力强度因子计算方法，通过典型案例计算I型、II型以及I型、II型复合裂纹的应力强度因子。在此基础上通过引入裂纹扩展判据，结合典型算例进行裂纹扩展路径研究。结果表明，该算法对于计算I型、II型以及I型、II型复合裂纹的应力强度因子具有良好的适应性。在进行裂纹扩展路径模拟时，不需要对裂纹附近区域的网格进行重划分或加密，使得分析过程更加简单，计算效率明显提高，提高了计算速度，消除了网格重划分对裂纹扩展路径的限制。
Abstract:
In order to study the crack propagation problem, the smooth finite element method (S-FEM) was combined with the extended finite element method (X-FEM) to form the smooth-extended finite element method (S-XFEM) algorithm and program.Firstly, based on the theory of S-XFEM, the calculation method of crack stress intensity factor was formed, and the general program suitable for general finite element method was written to analyze the unidirectional tensile model of an infinite plate with a central crack. By changing the mesh size and crack angle to analyze the influence of crack stress intensity factor, the stress intensity factor values of type I, type II and type I, II composite cracks obtained by the algorithm were compared with the theoretical values. With the decrease of mesh size, the stress intensity factor values of type I and type II obtained by S-XFEM approached to the exact solution continuously. With the increase of crack degree, the stress intensity factor value of type I increased continuously, and the stress intensity factor of type II increased first and then decreased with the angle.The larger the angle was, the closer the crack was to the type I crack. Therefore, the stress intensity factor calculated by the S-XFEM had high accuracy and good adaptability.Secondly, on this basis, the crack propagation criterion was introduced, and the MATLAB programming was used to study the crack propagation path of four-point bending experimental model of the plate with side cracks and the beam with holes. The results showed that the crack propagation path obtained by this example was consistent with that obtained by references.Finally, in this paper, S-XFEM was used to study the crack propagation，compared to using other methods for crack propagation research, it was not necessary to re-divide or encrypt the grid in the area near the crack,which would make the analysis process more simple, improve the computational efficiency.

参考文献/References:

[1] 郭小斌,刘成武.光滑有限元方法研究进展[J].机电技术,2019,42(1):91-96,104.

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更新日期/Last Update: 2022-02-25