Mechanical Behaviors of Subsurface Bifurcating Cracks

SUN Qi; WU Jinbo; JIANG Xiaoyu

doi:10.21656/1000-0887.440121

Volume 44 Issue 12

Dec. 2023

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SUN Qi, WU Jinbo, JIANG Xiaoyu. Mechanical Behaviors of Subsurface Bifurcating Cracks[J]. Applied Mathematics and Mechanics, 2023, 44(12): 1453-1462. doi: 10.21656/1000-0887.440121

Citation:

SUN Qi, WU Jinbo, JIANG Xiaoyu. Mechanical Behaviors of Subsurface Bifurcating Cracks[J]. Applied Mathematics and Mechanics, 2023, 44(12): 1453-1462. doi: 10.21656/1000-0887.440121

Citation:

SUN Qi, WU Jinbo, JIANG Xiaoyu. Mechanical Behaviors of Subsurface Bifurcating Cracks[J]. Applied Mathematics and Mechanics, 2023, 44(12): 1453-1462. doi: 10.21656/1000-0887.440121

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Mechanical Behaviors of Subsurface Bifurcating Cracks

doi: 10.21656/1000-0887.440121

School of Mechanics and Aerospace Engineering, Southwest Jiaotong University, Chengdu 610031, P.R.China

Received Date: 2023-04-21
Rev Recd Date: 2023-09-11
Publish Date: 2023-12-01

Abstract

Abstract

Under complex loads, the distributed dislocation technique (DDT) was used to discuss the bifurcating crack problem in a semi-infinite plane, and its correctness was verified. Based on the criterion for the equivalent stress intensity factor, the cause for crack bifurcation was preliminarily explained. The stress intensity factors of bifurcating cracks under different buried depths, loading ratios, bifurcation length ratios, and bifurcation angles were calculated. The multi-branch bifurcating crack was also calculated, with the results agreeing well with the finite element method. The results show that, the deeper the buried depth is, the more difficult the bifurcating crack propagation will be. When the burial depth reaches d/a=1.5, the stress intensity factor at the bifurcating crack tip will decrease by about 15%. Moreover, the longer branch will greatly inhibit the extension of the short branch. When the crack length ratio of the 2 branches reaches more than b/c=2, the shielding effect will reach more than 50%; In addition, the bifurcation angles and loading ratios will change the dominant propagation mode of bifurcating cracks.

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References(19)

References

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