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次表面分岔裂纹的力学行为

孙奇 吴金波 江晓禹

应用数学和力学2023,Vol.44Issue(12):1453-1462,10.
应用数学和力学2023,Vol.44Issue(12):1453-1462,10.DOI:10.21656/1000-0887.440121

次表面分岔裂纹的力学行为

Mechanical Behaviors of Subsurface Bifurcating Cracks

孙奇 1吴金波 1江晓禹1

作者信息

  • 1. 西南交通大学 力学与航空航天学院,成都 610031
  • 折叠

摘要

Abstract

Under complex loads,the distributed dislocation technique(DDT)was used to discuss the bifurca-ting crack problem in a semi-infinite plane,and its correctness was verified.Based on the criterion for the e-quivalent 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 bifur-cation 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 reachesd/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 exten-sion of the short branch.When the crack length ratio of the 2 branches reaches more thanb/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.

关键词

分岔裂纹/分布位错技术/等效应力强度因子判据/应力强度因子/多分支分岔裂纹

Key words

bifurcating crack/distributed dislocation technique/criterion for the equivalent stress intensity factor/stress intensity factor/multi-branch bifurcating crack

分类

力学

引用本文复制引用

孙奇,吴金波,江晓禹..次表面分岔裂纹的力学行为[J].应用数学和力学,2023,44(12):1453-1462,10.

基金项目

国家自然科学基金项目(11472230) (11472230)

应用数学和力学

OACSCDCSTPCD

1000-0887

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