Research on Crack Propagation Based on Smooth-extended Finite Element Method
[1]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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Journal of Zhengzhou University (Engineering Science)[ISSN
1671-6833/CN
41-1339/T] Volume:
43卷
Number of periods:
2022 02
Page number:
51-57
Column:
Public date:
2022-02-27
- Title:
- Research on Crack Propagation Based on Smooth-extended Finite Element Method
- Keywords:
- smooth-extended finite element method; stress intensity factor; crack propagation; numerical simulation; MATLAB programming
- CLC:
- O346.1
- DOI:
- 10.13705/j.issn.1671-6833.2022.02.014
- 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.
- References:
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Last Update:
2022-02-25