摘要To investigate the stress state and crack propagation of asphalt surface course bottom, the weight function of a rectangular plate with a single edge crack is derived based on weight function method. The I-II mixed-mode stress intensity factor (SIF), mixed-mode fracture criterion, and propagation law of crack in asphalt mixture, are studied based on the test model of pre-notched beam and three-point bending test of a single-edged notched beam. Results show the following findings:(1) Under the same load, with the notch close to the loading point, SIF and the maximum energy release rate of mode I increases while SIF and the fracture angle of mode II decrease. (2) The longer the notch is, the higher the maximum energy release rate becomes and the easier the beam cracks. (3) The mixed-mode cracking appears in the case of an asymmetric notch, and the initial cracking load increases with the increase of notch offset distance. Comparing these results shows that the weight function method exhibits precision in calculating the crack SIF of the beam.
Abstract：To investigate the stress state and crack propagation of asphalt surface course bottom, the weight function of a rectangular plate with a single edge crack is derived based on weight function method. The I-II mixed-mode stress intensity factor (SIF), mixed-mode fracture criterion, and propagation law of crack in asphalt mixture, are studied based on the test model of pre-notched beam and three-point bending test of a single-edged notched beam. Results show the following findings:(1) Under the same load, with the notch close to the loading point, SIF and the maximum energy release rate of mode I increases while SIF and the fracture angle of mode II decrease. (2) The longer the notch is, the higher the maximum energy release rate becomes and the easier the beam cracks. (3) The mixed-mode cracking appears in the case of an asymmetric notch, and the initial cracking load increases with the increase of notch offset distance. Comparing these results shows that the weight function method exhibits precision in calculating the crack SIF of the beam.
基金资助:Supported by the National Natural Science Foundation of China (No. 51668041, No. 51108222); the Science and Technology Support Project in Gansu Province (No. 1504GKCA031)
通讯作者:
LI Ping,E-mail address:lzlgliping@126.com
E-mail: lzlgliping@126.com
引用本文:
李萍, 念腾飞, 马科. 基于权函数法的沥青混合料预切口小梁的断裂理论与裂纹扩展试验的研究[J]. Journal of Highway and Transportation Research and Development, 2017, 11(1): 7-13.
LI Ping, NIAN Teng-fei, MA Ke. Fracture Theory and Crack Propagation Test of Asphalt Mixture Pre-notched Beam Based on Weight Function Method. Journal of Highway and Transportation Research and Development, 2017, 11(1): 7-13.
[1] ZHAO Yan-qing, WANG Shu-hong, ZHOU Chang-hong, et al. Analysis of Top-Down Cracking of Asphalt Pavements Based on Fracture Mechanics Approach[J]. Journal of Tongji University:Natural Science Edition, 2010, 38(2):218-222. (in Chinese)
[2] CHE Fa, CHEN Shuan-fa, LI Zeng-hong, et al. Analysis of Cracks Propagation on Asphalt Pavement Surface under Load[J]. Journal of Highway and Transportation Research and Development, 2010, 27(5):26-29. (in Chinese)
[3] MAJIDZADEH K, BURANAROM C, KARAKOUZIAN M. Application of Fracture Mechanics for Improved Design of Bituminous Concrete, Final Report[R]. Washington, D.C.:Federal Highway Administration, 1976:76-91.
[4] LUO Rui, HUANG Xiao-ming. Calculation on the SIF for the Bottom Crack of Asphalt Layer in Asphalt Pavement Considering Partial Constraint by Weight Function[J]. Chinese Journal of Geotechnical Engineering, 2001, 23(5):610-613. (in Chinese)
[5] LINK R E, WAGONER M P, BUTTLAR W G, et al. Development of a Single-edge Notched Beam Test for Asphalt Concrete Mixtures[J]. Journal of Testing and Evaluation, 2005, 33(6):452.
[6] ZHANG Qi-sen, LIU Yi-he. Analysis and Testing Investigation on Cracking Mechanism of Asphalt Pavements[J].Transactions of Changsha Communications College, 1988, 4(2):67-80. (in Chinese)
[7] MAO Cheng, QIU Yan-jun. Numerical Simulation of Compound Crack Propagation Behavior of Asphalt Concrete[J]. Journal of Highway and Transportation Research and Development, 2006, 23(10):20-24. (in Chinese)
[8] LUO Hui, ZHU Hong-ping, CHEN Chuan-yao. The Fatigue Test and Numerical Study on Pre-sawed Bituminous Mixture Beams[J]. China Civil Engineering Journal, 2009, 42(6):126-132. (in Chinese)
[9] LUO Hui, ZHU Hong-ping, CHEN Chuan-yao. Modelling of Crack Propagation in Asphalt Pavements by the Coupled EFG and FE Method[J]. Journal of Highway and Transportation Research and Development, 2008, 25(9):1-6. (in Chinese)
[10] BUECKNER H F. A Novel Principle for the Computation of Stress Intensity Factors[J]. Zeitschrift Fuer Angewandte Mathematik & Mechanik, 1970, 50(9):529-546.
[11] SHEN G, GLINKA G. Weight Function for a Surface Semi-elliptical Crack in a Finite Thickness Plate[J]. Theoretical and Applied Fracture Mechanics, 1991, 15(3):247-255.
[12] QIU Zhong-yi. Handbook of Stress Intensity Factors[M]. Beijing:Science Press, 1993. (in Chinese)
[13] FETT T, MATTHECK C, MUNZ D. On the Calculation of Crack Opening Displacement from the stress intensity factor[J]. Engineering Fracture Mechanics, 1987, 276:697-715.
[14] FETT T. Mixed-mode Stress Intensity Factors for Three-point Bending Bars[J]. International Journal of Fracture, 1991, 48(4):67-74.
[15] HUSSAIN M A, PU S L, UNDERWOOD J. Strain Energy Release Rate for a Crack Under Combined Mode Ⅰ and Mode Ⅱ[C]//Proceedings of the 1973 National Symposium on Fracture Mechanics, Fracture Analysis. Md.:ASTM Publications, 1973:2-28.
[1]
李宁, 马骉, 李瑞, 司伟. 基于PUMA的单级和多级加载模式下级配碎石性能研究[J]. Journal of Highway and Transportation Research and Development, 2019, 13(2): 1-12.
[2]
许海亮, 任合欢, 何兆才, 何炼. 车路耦合条件下沥青混凝土路面变形特性时域分析[J]. Journal of Highway and Transportation Research and Development, 2019, 13(2): 13-19.
[3]
杜健欢, 艾长发, 黄超, 郭玉金, 蒋运兵. 界面水对沥青复合小梁疲劳性能的影响试验[J]. Journal of Highway and Transportation Research and Development, 2019, 13(1): 1-7.
[4]
姚国强, 言志信, 龙哲, 翟聚云. 基于岩质边坡相似材料的锚固界面剪应力分布规律研究[J]. Journal of Highway and Transportation Research and Development, 2019, 13(1): 8-15.
[5]
刘泽, 何矾, 黄天棋, 蒋梅东. 车辆荷载在挡土墙上引起的附加土压力研究[J]. Journal of Highway and Transportation Research and Development, 2019, 13(1): 16-23.
[6]
邱欣, 徐静娴, 陶钰强, 杨青. 路面结冰条件判别标准及SVM预测分析研究[J]. Journal of Highway and Transportation Research and Development, 2018, 12(4): 1-9.
[7]
高伟, 崔巍, 李秀凤. 半刚性基层表面抗冲刷性能试验与分析[J]. Journal of Highway and Transportation Research and Development, 2018, 12(4): 10-17.
[8]
张向东, 任昆. 煤渣改良土路基的动弹性模量及临界动应力试验研究[J]. Journal of Highway and Transportation Research and Development, 2018, 12(4): 25-32.
[9]
刘栋, 尚小亮, 杨西海. 垃圾焚烧炉渣中可溶盐对水泥稳定材料性能的影响[J]. Journal of Highway and Transportation Research and Development, 2018, 12(4): 18-24.
[10]
李龙海, 杨茹. 多次加铺的复合道面疲劳寿命分析[J]. Journal of Highway and Transportation Research and Development, 2018, 12(3): 7-15.
[11]
蔡旭, 李翔, 吴旷怀, 黄文柯. 基于旋转压实的水泥稳定再生集料设计方法研究[J]. Journal of Highway and Transportation Research and Development, 2018, 12(3): 1-6.
[12]
李金路, 冯子强, 吴佳杰, 魏姗姗, 葛智. 环境及疲劳荷载作用下碳纳米管水泥基复合材料压敏性能研究[J]. Journal of Highway and Transportation Research and Development, 2018, 12(3): 16-21.
[13]
田小革, 韩海峰, 李新伟, 吴栋, 魏东. 半刚性路面中双层半刚性基层的倒装效应[J]. Journal of Highway and Transportation Research and Development, 2018, 12(3): 22-27.
[14]
邢磊, 雷柏龄, 陈忠达, 戴学臻. 彩色沥青路面胶凝材料的制备技术[J]. Journal of Highway and Transportation Research and Development, 2018, 12(2): 1-6.
[15]
方薇, 陈向阳, 杨果林. 带齿格栅加筋挡墙工作机理的数值模拟研究[J]. Journal of Highway and Transportation Research and Development, 2018, 12(2): 7-13.
2017, Vol. 11 
