张雪朋,李文俊,李楠,江晓禹.次表面偏折裂纹尖端力学行为的分布位错理论分析[J].表面技术,2021,50(12):149-158.
ZHANG Xue-peng,LI Wen-jun,LI Nan,JIANG Xiao-yu.Theoretical Analysis of Distributed Dislocations on the Mechanical Behavior of Subsurface Deflection Crack Tip[J].Surface Technology,2021,50(12):149-158
次表面偏折裂纹尖端力学行为的分布位错理论分析
Theoretical Analysis of Distributed Dislocations on the Mechanical Behavior of Subsurface Deflection Crack Tip
投稿时间:2020-10-08  修订日期:2021-07-26
DOI:10.16490/j.cnki.issn.1001-3660.2021.12.015
中文关键词:  扩展方向  偏折裂纹  分布位错  应力强度因子  偏折角
英文关键词:propagation direction  deflection crack  distributed dislocation  stress intensity factor  deflection angle
基金项目:国家自然科学基金资助项目(11472230)
作者单位
张雪朋 西南交通大学 力学与工程学院,成都 610031 
李文俊 西南交通大学 力学与工程学院,成都 610031 
李楠 西南交通大学 力学与工程学院,成都 610031 
江晓禹 西南交通大学 力学与工程学院,成都 610031 
AuthorInstitution
ZHANG Xue-peng School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, China 
LI Wen-jun School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, China 
LI Nan School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, China 
JIANG Xiao-yu School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, China 
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中文摘要:
      目的 在复杂载荷作用下,采用理论方法求解半无限大平面内次表面偏折裂纹的力学性质。方法 根据叠加原理把问题分成两部分,其一采用弹性力学,其二采用分布位错原理,并利用Gauess-Chebyshev数值求解法进行求解,二者联合求解力学参量。结果 得到了偏折裂纹在相应偏折角下,不同深度、长度比、载荷比对裂纹尖端应力强度因子(SIF)的影响曲线,并分析在此工况下裂纹的扩展方向。应力强度因子,会随着偏折部分长度的增加而增大,随着裂纹埋置深度的增加而减小,随着裂纹横、剪载荷比的增加而增大。裂纹会沿着顺时针方向扩展并随着偏折角的增大而增大,靠近表面的一侧更容易发生扩展。结论 载荷比、裂纹埋置深度以及长度比较大时,裂纹更容易向表面扩展,从而形成开放裂纹,裂纹沿着顺时针方向扩展,且随偏折角的改变而改变。
英文摘要:
      Under complex loads, theoretical methods are used to solve the mechanical properties of subsurface deflection cracks in a semi-infinite plane. The problem included two parts according to the method we followed, the superposition theorem. One used elastic mechanics; the other used the principle of distributed dislocation. And Gauess-Chebyshev numerical solution method was used to solve. The two were jointly used to solve the mechanical parameters. SIF graphs of the crack tip at all kinds of load ratios of the deflection, depths and length ratios cracks at the corresponding deflection angles were obtained, and the crack propagation direction under this working condition was analyzed. SIF increased with the increase of the length of the deflection part, SIF decreased as the depth of the crack buried increased; and when the ratio of transverse crack and shearing load grew, the SIF also increased. When the crack was closer to the surface, it was easier to expand and grow with the increase of the deflection angle in the clockwise direction. When the load ratio, crack embedding depth, and length are relatively large, the cracks are more likely to propagate to the surface to form open cracks, the cracks are propagated in a clockwise direction and varies with the deflection angle.
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