李孝滔,李煦,曹世豪,文良华,江晓禹.基于概率统计方法对钢轨疲劳裂纹路径的研究[J].表面技术,2015,44(11):71-78.
LI Xiao-tao,LI Xu,CAO Shi-hao,WEN Liang-hua,JIANG Xiao-yu.Rail Fatigue Crack Path Based on Probabilistic and Statistical Method[J].Surface Technology,2015,44(11):71-78
基于概率统计方法对钢轨疲劳裂纹路径的研究
Rail Fatigue Crack Path Based on Probabilistic and Statistical Method
投稿时间:2015-08-18  修订日期:2015-11-20
DOI:10.16490/j.cnki.issn.1001-3660.2015.11.012
中文关键词:  轮轨接触  ANSYS  概率统计  最大周向应力判据  威布尔分布  裂纹扩展路径
英文关键词:wheel-rail contact  ANSYS  probability and statistics  the maximum circumferential stress criterion  the Weibull distribution  crack growth path
基金项目:国家自然科学基金(11472230);国家自然科学基金重点项目(U1134202 / E050303);四川省青年科技创新团队(2013TD0004)
作者单位
李孝滔 西南交通大学 力学与工程学院, 成都 610031 
李煦 西南交通大学 力学与工程学院, 成都 610031 
曹世豪 西南交通大学 土木工程学院, 成都 610031 
文良华 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
LI Xiao-tao School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, China 
LI Xu School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, China 
CAO Shi-hao School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China 
WEN Liang-hua 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 利用有限元软件 ANSYS 对车轮滚过裂纹过程进行分析,确定轮轨接触疲劳裂纹的扩展方向。 方法 基于最大周向应力判据,用概率统计的方法对车轮滚过裂纹过程中,不同角度初始裂纹可能的扩展角度进行分析。 车轮滚过裂纹过程中,用可能扩展角度的均值作为裂纹的扩展方向计算裂纹扩展路径。 结果 用概率坐标纸拟合出的相关系数均大于 98. 5% ,说明裂纹可能的扩展角度符合威布尔分布的可能性超过 98. 5% 。 当裂纹长度小于 700 μm 时,裂纹可能的扩展角度基本符合威布尔分布;当裂纹长度达到 800 μm 时,裂纹尖端的等效应力强度因子(Keff)出现 4 个峰值;当裂纹长度达到 1200 μm时,第 3 个峰值载荷处裂纹尖端的 Keff超过了材料的断裂韧性,此时裂纹会向行车相反的方向急剧地扩展。结论 对于不同角度初始裂纹,其扩展角度基本符合威布尔分布;整个裂纹路径的趋势与实验测得的裂纹路径有较好的一致性,车轮滚过裂纹过程中,用裂纹可能扩展角度的均值作为裂纹的扩展方向可行。
英文摘要:
      Objective The process of wheel rolling over crack was analyzed by the finite element software ANSYS, in order to predict the propagation direction of the wheel-rail contact fatigue crack. Methods Based on the maximum circumferential stress criterion, the possible propagation direction of initial crack with different angles during the process was analyzed using probabilistic and statistical method. The crack propagation path was calculated using the average propagation angle as the direction of crack propagation during the process of wheel rolling over crack. Results The correlation coefficient fitted by the probability paper was all higher than 98. 5% , indicating that the possibility that the possible crack propagation direction was in line with the Weibull distribution was higher than 98. 5% . The possible crack propagation direction was almost in line with the Weibull distribution when the crack length was less than 700 μm. The equivalent stress intensity factor Keff of crack tip began to show four peaks when the crack length reached 800 μm. The crack propagated abruptly in the opposite direction of the train running as the crack length reached 1200 μm when the Keff of crack tip at the 3rd peak load exceeded the fracture toughness of the material. Conclusion For initial crack with different angles, the crack propagation direction was almost in line with Weibull distribution. The whole trend of the crack path was in agreement with the experimental crack path, which proved the feasibility of using the average propagation angle as the crack propagation direction.
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