Estimation of Fatigue Failure of Asphalt Concrete Based on Three-Parameter Weibull Distribution

doi:10.3969/j.issn.1674-0696.2017.01.07

Abstract

Abstract: Weibull distribution is widely used in asphalt mixes fatigue failure fitting. Compared with two-parameter Weibull distribution, three-parameter Weibull distribution shows better practicability in the situation that fatigue failure does not exist at initial steps. Through indirect tension test （IDT） at different stress levels and different temperatures, the fatigue behavior of three different asphalt concrete were analyzed with location parameter using iterative computations of scale parameter, shape parameter. Combined with test data, the distribution function was calculated based on three characteristic parameters. The results show more reasonable fitting accuracy of three-parameter Weibull distribution than its calculated results by others methods. The fatigue curves and fatigue equations at different test conditions of 50% reliability are obtained.

Key words: road engineering, asphalt concrete, stress control, three-parameter Weibull distribution, estimation of fatigue failure

摘要： 通过间接拉伸疲劳试验分析3种不同沥青混凝土材料在3种不同温度条件下疲劳失效特性。采用考虑形状参数、位置参数和尺度参数的Weibull分布函数对不同加载条件下材料疲劳寿命分布特征进行估计，提出了基于位置参数迭代计算下的特征参数估算方法，并给出了50%保证率下的材料疲劳寿命曲线和疲劳方程。研究结果表明：三参数Weibull分布函数可以避免在试验初始阶段进行疲劳失效概率的不合理估计，更好地预估小子样条件下材料疲劳失效分布；预估结果中特征参数项具有良好的线性相关性，三参数Weibull分布能较为清晰地反映出材料不同试验条件下的疲劳失效寿命分布。

关键词: 道路工程, 沥青混凝土, 应力控制, 三参数Weibull分布, 疲劳失效估计

CLC Number:

U416.217

LI Xiao1，2，LIANG Naixing2，CHENG Zhihao1. Estimation of Fatigue Failure of Asphalt Concrete Based on Three-Parameter Weibull Distribution[J]. Journal of Chongqing Jiaotong University(Natural Science), 2017, 36(1): 36-41.

黎晓1，2，梁乃兴2，程志豪1. 三参数Weibull分布估计沥青混凝土疲劳失效研究[J]. 重庆交通大学学报（自然科学版）, 2017, 36(1): 36-41.

References

［1］贾侃.半刚性基层材料的疲劳特性研究［D］.西安：长安大学，2008.
JIA Kan. Study on the Fatigue Performance of Semi-rigid Base Course Materials［D］.Xi'an: Chang'an University,2008.
［2］熊华锋.复合材料疲劳分散性与强度分散性的关系［D］.南京：南京航空航天大学，2009.
XIONG Huafeng. A Relationship of Dispersity between Fatigue Life and Strength of Composites［D］. Nanjing: Nanjing University of Aeronautics and Astronautics,2009.
［3］李詠侠，刘再锋，郑峰，等.基于Weibull分布的冲压模具用硬质合金耐冲击疲劳性能研究［J］.稀有金属与硬质合金，2012，40（4）：50-55.
LI Yongxia, LIU Zaifeng, ZHENG Feng, et al. Research on impact fatigue performance of stamping die cemented carbides based on Weibull distribution［J］. Rare Metals and Cemented Carbides,2012，40（4）：50-55.
［4］赵造东.水工混凝土受压疲劳性能及累积损伤研究［D］.昆明：昆明理工大学，2011.
ZHAO Zaodong. Studies on the Fatigue Property and Cumulative Damage of Hydraulic Concrete under the Compressive Fatigue Load［D］. Kunming: Kunming University of Science and Technology,2011.
［5］董玲云，何兆益，黄刚，等.热再生沥青混合料的疲劳特性研究［J］.重庆交通大学学报（自然科学版），2013，32（4）：606-609.
DONG Lingyun, HE Zhaoyi, HUANG Gang, et al. Research on fatigue properties of reclaimed asphalt pavement［J］. Journal of Chongqing Jiaotong University（Nature Science）,2013，32（4）：606-609.
［6］黎晓，梁乃兴.应力控制模式下沥青混合料劈裂疲劳试验研究［J］.中外公路，2013，33（5）：276-279.
LI Xiao, LIANG Naixing. Research on the indirect tensile test of asphalt concrete in stress control［J］. Journal of China&Foreign Highway,2013，33（5）：276-279.
［7］黎晓，梁乃兴.间接拉伸试验条件下沥青混合料的疲劳行为［J］.重庆交通大学学报（自然科学版），2013，32（6）：1162-1165.
LI Xiao, LIANG Naixing. Fatigue performance of asphalt mixes in indirect tensile test［J］. Journal of Chongqing Jiaotong University（Nature Science）,2013，32（6）：1162-1165.
［8］高智杰，梁乃兴，肖雄.水对沥青混合料疲劳寿命影响的试验研究［J］.重庆交通大学学报（自然科学版），2010，29（2）：199-202.
GAO Zhijie, LIANG Naixing, XIAO Xiong. Test study on water affection on the fatigue performance of asphalt pavement［J］. Journal of Chongqing Jiaotong University（Nature Science）,2010，29（2）：199-202.
［9］吴旷怀，凌宏杰.大样本条件下沥青混合料疲劳试验参数的概率分布分析［J］.广州大学学报（自然科学版），2007，6（3）：72-76.
WU Kuanghuai, LING Hongjie. Probability distribution analysis of fatigue test results for asphalt mixture with a large sample［J］. Journal of Guangzhou University（Nature Science Edition）,2007，6（3）：72-76.
［10］黄明.环氧沥青混合料的疲劳行为研究［J］.重庆交通大学学报（自然科学版），2016，35（1）：46-50.
HUANG Ming. Research on fatigue behavior of epoxy asphalt mixture［J］. Journal of Chongqing Jiaotong University（Nature Science）,2016，35（1）：46-50.
［11］孙杰.基于应力控制模式下的沥青混合料疲劳开裂预估模型的研究［D］.广州：华南理工大学，2010.
SUN Jie. Research on Fatigue Cracking Prediction Model of Asphalt Mixture Based on Stress Control Model［D］. Guangzhou: South China University of Technology,2010.
［12］沙爱民，贾侃，李小刚.半刚性基层材料的疲劳特性［J］.交通运输工程学报，2009，9（3）：29-33.
SHA Aimin, JIA Kan, LI Xiaogang. Fatigue performance of semi-rigid base course materials［J］. Journal of Traffic and Transportation Engineering,2009，9（3）：29-33.
［13］高镇同.疲劳应用统计学［M］.北京：国防工业出版社，1986.
GAO Zhentong. Statistics in Fatigue［M］. Beijing: National Defense Industry Press,1986.

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