Abstract
For the better understanding of fracture test method to evaluate the crack resistance of asphalt mixtures, the current test methods and evaluation indexes were theoretically and experimentally compared, including the indirect tensile test, single edge notch beam test, semicircular bending test (SCB) and disk-shaped compact tension test. The stress intensity factors for different tests were compared, and the appropriate range of notch depth was determined. The SCB was finally selected as the test method for evaluating the crack resistance of the asphalt mixtures. According to the relationship between the fracture energy and notch depths, the essential fracture energy of asphalt mixtures was calculated, and it was recommended as the evaluation index of asphalt mixtures for crack resistance. Furthermore, the failure process of the SCB was analyzed, and the contraflexure point on the load–displacement curve was found and defined. The fracture energy at the contraflexure point could be used to evaluate the ultimate crack resistance of the asphalt mixtures. The application of the essential fracture energy and the contraflexure point can correspond to the actuality of the asphalt pavement, which provides a reference for the crack resistance research of asphalt mixtures in the future.
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Abbreviations
- IDT test:
-
Indirect tensile test
- SENB test:
-
Single edge notch beam test
- SCB test:
-
Semicircular bending test
- DCT test:
-
Disk-shaped compact tension test
- ENDB test:
-
Edge notched disk bend test
- ENDC test:
-
Edge notched diametrically compressed test
- SHRP:
-
Strategic highway research program
- LEFM:
-
Linear elastic fracture mechanics
- EPFM:
-
Elastic plastic fracture mechanics
- CZM:
-
Cohesive zone model
- CMOD:
-
Crack mouth opening displacement
- J C :
-
Critical energy rate
- R T :
-
Split tensile strength
- P T :
-
Maximum value of the test load
- σ t :
-
Tensile stress at the bottom of specimen
- F :
-
Vertical load
- K :
-
Stress intensity factor
- K C :
-
Critical stress intensity factor
- U :
-
The work of load
- t :
-
Cohesion
- δ :
-
The relative displacement of the fracture surface
- T :
-
Mechanical strength, the maximum value of cohesion
- δ f :
-
Failure displacement, the maximum displacement of the fracture surface
- G c :
-
The fracture energy
- U fr :
-
The breaking energy
References
Pei, J.; Zhou, B.; Lyu, L.: e-Road: the largest energy supply of the future? Appl. Energy 241, 174–183 (2019). https://doi.org/10.1016/j.apenergy.2019.03.033
Cong, L.; Peng, J.; Guo, Z.; Wang, Q.: Evaluation of fatigue cracking in asphalt mixtures based on surface energy. J. Mater. Civ. Eng. 29(3), D4015003 (2017). https://doi.org/10.1061/(asce)mt.1943-5533.0001465
Gu, F.; Luo, X.; West, R.C.; Taylor, A.J.; Moore, N.D.: Energy-based crack initiation model for load-related top-down cracking in asphalt pavement. Constr. Build. Mater. 159, 587–597 (2018). https://doi.org/10.1016/j.conbuildmat.2017.11.008
Zhang, Y.; Gu, F.; Birgisson, B.; Lytton, R.L.: Modelling cracking damage of asphalt mixtures under compressive monotonic and repeated loads using pseudo J-integral Paris’ law. Road Mater. Pavement 19(3), 525–535 (2018). https://doi.org/10.1080/14680629.2018.1418706
Kanerva, H.K.; Vinson, T.S.; Zeng, H.: Low-temperature cracking: field validation of the thermal stress restrained specimen test. No. SHRP-A-401. 1994
Gauthier, G.; Anderson, D.A.: Fracture mechanics and asphalt binders. Road Mater. Pavement 7(sup1), 9–35 (2006). https://doi.org/10.1080/14680629.2006.9690056
Abdulshafi, A.; Majidzadeh, K.: J-integral and cyclic plasticity approach to fatigue and fracture of asphaltic mixtures. Transp. Res. Rec. 1034, 112–123 (1985)
EN 12697-44:2010: Bituminous mixtures—test methods for hot mix asphalt part 44: crack propagation by semi-circular bending test. European Committee for Standardization, Brussels, Belgium (2010)
AASHTO TP 105-13: Standard method of test for determining the fracture energy of asphalt mixtures using the semicircular bend geometry (SCB). American Association of State and Highway Transportation Officials (2013)
Wang, H.; Zhang, C.; Li, L.; You, Z.; Diab, A.: Characterization of low temperature crack resistance of crumb rubber modified asphalt mixtures using semi-circular bending tests. J. Test. Eval. 44(2), 847–855 (2016). https://doi.org/10.1520/jte20150145
Zhao, Q.; Ye, Z.: A dimensional analysis on asphalt binder fracture and fatigue cracking. Front. Struct. Civ. Eng. 12(2), 201–206 (2018). https://doi.org/10.1007/s11709-017-0402-1
Ling, M.; Luo, X.; Chen, Y.; Hu, S.; Lytton, R.L.: A calibrated mechanics-based model for top-down cracking of asphalt pavements. Constr. Build. Mater. 208, 102–112 (2019). https://doi.org/10.1016/j.conbuildmat.2019.02.090
Fakhri, M.; Kharrazi, E.H.; Aliha, M.R.M.: Mixed mode tensile—in plane shear fracture energy determination for hot mix asphalt mixtures under intermediate temperature conditions. Eng. Fract. Mech. 192, 98–113 (2018). https://doi.org/10.1016/j.engfracmech.2018.02.007
Ozer, H.; Al-Qadi, I.L.; Lambros, J.; El-Khatib, A.; Singhvi, P.; Doll, B.: Development of the fracture-based flexibility index for asphalt concrete cracking potential using modified semi-circle bending test parameters. Constr. Build. Mater. 115, 390–401 (2016). https://doi.org/10.1016/j.conbuildmat.2016.03.144
Dave, E.V.; Hoplin, C.: Flexible pavement thermal cracking performance sensitivity to fracture energy variation of asphalt mixtures. Road Mater. Pavement 16(sup1), 423–441 (2015). https://doi.org/10.1080/14680629.2015.1029697
Oshone, M.; Dave, E.; Sias, J.: Asphalt mix fracture energy based reflective cracking performance criteria for overlay mix selection and design for pavements in cold climates. Constr. Build. Mater. 211, 1025–1033 (2019). https://doi.org/10.1016/j.conbuildmat.2019.03.278
Li, X.; Braham, A.F.; Marasteanu, M.O.; Buttlar, W.G.; Williams, R.C.: Effect of factors affecting fracture energy of asphalt concrete at low temperature. Road Mater. Pavement 9(sup1), 397–416 (2008). https://doi.org/10.1080/14680629.2008.9690176
Li, X.; Marasteanu, M.O.; Kvasnak, A.; Bausano, J.; Williams, R.C.; Worel, B.: Factors study in low-temperature fracture resistance of asphalt concrete. J. Mater. Civ. Eng. 22(2), 145–152 (2010)
Zhang, J.; Tan, H.; Pei, J.; Qu, T.; Liu, W.: Evaluating crack resistance of asphalt mixture based on essential fracture energy and fracture toughness. Int. J. Geomech. 19(4), 06019005 (2019). https://doi.org/10.1061/(asce)gm.1943-5622.0001390
Saha, G.; Biligiri, K.P.: Fracture properties of asphalt mixtures using semi-circular bending test: a state-of-the-art review and future research. Constr. Build. Mater. 105, 103–112 (2016). https://doi.org/10.1016/j.conbuildmat.2015.12.046
Huang, B.; Shu, X.; Zuo, G.: Using notched semi-circular bending fatigue test to characterize fracture resistance of asphalt mixtures. Eng. Fract. Mech. 109, 78–88 (2013). https://doi.org/10.1016/j.engfracmech.2013.07.003
Im, S.; Ban, H.; Kim, Y.R.: Characterization of mode-I and mode-II fracture properties of fine aggregate matrix using a semicircular specimen geometry. Constr. Build. Mater. 52, 413–421 (2014). https://doi.org/10.1016/j.conbuildmat.2013.11.055
Khalid, H.A.; Monney, O.K.: Moisture damage potential of cold asphalt. Int. J. Pavement Eng. 10(5), 311–318 (2009). https://doi.org/10.1080/10298430802169838
Minhajuddin, M.; Saha, G.; Biligiri, K.P.: Crack propagation parametric assessment of modified asphalt mixtures using linear elastic fracture mechanics approach. J. Test. Eval. 44(1S), 1–13 (2016). https://doi.org/10.1520/jte20140510
Othman, A.M.: Effect of low-density polyethylene on fracture toughness of asphalt concrete mixtures. J. Mater. Civ. Eng. 22(10), 1019–1024 (2010). https://doi.org/10.1061/(asce)mt.1943-5533.0000106
Liu, J.: Low temperature cracking evaluation of asphalt rubber mixtures using semi-circular bending test. Adv. Mater. Res. 243, 4201–4206 (2011). https://doi.org/10.4028/www.scientific.net/amr.243-249.4201
Mansourian, A.; Hashemi, S.; Aliha, M.R.M.: Evaluation of pure and mixed modes (I/III) fracture toughness of Portland cement concrete mixtures containing reclaimed asphalt pavement. Constr. Build. Mater. 178, 10–18 (2018). https://doi.org/10.1016/j.conbuildmat.2018.05.130
Eghbali, M.R.; Tafti, M.F.; Aliha, M.R.M.; Motamedi, H.: The effect of ENDB specimen geometry on mode I fracture toughness and fracture energy of HMA and SMA mixtures at low temperatures. Eng. Fract. Mech. 216, 106496 (2019). https://doi.org/10.1016/j.engfracmech.2019.106496
Motamedi, H.; Fazaeli, H.; Aliha, M.R.M.; Amiri, H.R.: Evaluation of temperature and loading rate effect on fracture toughness of fiber reinforced asphalt mixture using edge notched disc bend (ENDB) specimen. Constr. Build. Mater. 234, 117365 (2020). https://doi.org/10.1016/j.conbuildmat.2019.117365
Aliha, M.R.M.; Bahmani, A.; Akhondi, S.: Determination of mode III fracture toughness for different materials using a new designed test configuration. Mater. Des. 86, 863–871 (2015). https://doi.org/10.1016/j.matdes.2015.08.033
Aliha, M.R.M.; Bahmani, A.; Akhondi, S.: A novel test specimen for investigating the mixed mode I+III fracture toughness of hot mix asphalt composites—experimental and theoretical study. Int. J. Solids Struct. 90, 167–177 (2016). https://doi.org/10.1016/j.ijsolstr.2016.03.018
Aliha, M.R.M.; Sarbijan, M.J.; Bahmani, A.: Fracture toughness determination of modified HMA mixtures with two novel disc shape configurations. Constr. Build. Mater. 155, 789–799 (2017). https://doi.org/10.1016/j.conbuildmat.2017.08.093
Pour, P.H.; Aliha, M.R.M.; Keymanesh, M.R.: Evaluating mode I fracture resistance in asphalt mixtures using edge notched disc bend ENDB specimen with different geometrical and environmental conditions. Eng. Fract. Mech. 190, 245–258 (2018). https://doi.org/10.1016/j.engfracmech.2017.11.007
Aliha, M.R.M.; Razmi, A.; Mousavi, A.: Fracture study of concrete composites with synthetic fibers additive under modes I and III using ENDB specimen. Constr. Build. Mater. 190, 612–622 (2018). https://doi.org/10.1016/j.conbuildmat.2018.09.149
Ameri, M.; Mansourian, A.; Pirmohammad, S.; Aliha, M.R.M.; Ayatollahi, M.R.: Mixed mode fracture resistance of asphalt concrete mixtures. Eng. Fract. Mech. 93, 153–167 (2012). https://doi.org/10.1016/j.engfracmech.2012.06.015
Aliha, M.R.M.; Behbahani, H.; Fazaeli, H.; Rezaifar, M.H.: Study of characteristic specification on mixed mode fracture toughness of asphalt mixtures. Constr. Build. Mater. 54, 623–635 (2014). https://doi.org/10.1016/j.conbuildmat.2013.12.097
Aliha, M.R.M.; Fazaeli, H.; Aghajani, S.; Nejad, F.M.: Effect of temperature and air void on mixed mode fracture toughness of modified asphalt mixtures. Constr. Build. Mater. 95, 545–555 (2015). https://doi.org/10.1016/j.conbuildmat.2015.07.165
Aliha, M.R.M.; Razmi, A.; Mansourian, A.: The influence of natural and synthetic fibers on low temperature mixed mode I+ II fracture behavior of warm mix asphalt (WMA) materials. Eng. Fract. Mech. 182, 322–336 (2017). https://doi.org/10.1016/j.engfracmech.2017.06.003
Aliha, M.R.M.; Fakhri, M.; Kharrazi, E.H.; Berto, F.: The effect of loading rate on fracture energy of asphalt mixture at intermediate temperatures and under different loading modes. Frattura ed Integrità Strutturale 12(43), 113–132 (2018). https://doi.org/10.3221/igf-esis.43.09
Aliha, M.R.M.; Behbahani, H.; Fazaeli, H.; Rezaifar, M.H.: Experimental study on mode I fracture toughness of different asphalt mixtures. Sci. Iran 22(1), 120–130 (2015)
Industrial standards of the People’s Republic of China: JTG E20-2011 Standard Test Methods of Asphalt and Asphalt Mixture for Highway Engineering. China Communications Press, Beijing (2011)
Hofman, R.: Description of semi circular bending (SCB) test. Version 31, DWW report number IL2R298 37 (1999)
Molenaar, A.; Scarpas, A.; Liu, X.; Erkens, S.: Semi-circular bending test; simple but useful? J. Assoc. Asph. Paving Technol. 71 (2002)
Bayomy, F.; Mull-Aglan, M.; Abdo, A.; Santi, M.: Evaluation of hot mix asphalt (HMA) fracture resistance using the critical strain energy release rate, Jc. In: Transportation Research Board 85th Annual Meeting (2006)
Tada, H.: The Stress Analysis of Cracks Handbook. Paris Productions Inc., St. Louis (1985)
Sih, G.C.; Matic, P.: A pseudo-linear analysis of yielding and crack growth: strain energy density criterion. In: Defects, Fracture and Fatigue. Springer, Dordrecht, pp. 223–232 (1983)
Huang, B.; Zhang, Z.; Kingery, W.; Zuo, G.: Fatigue crack characteristics of HMA mixtures containing RAP. In: Proceeding 5th International Conference on Cracking in Pavements, RILEM, pp. 631–638 (2005)
Luo, P.: Research on the Asphalt Mixture Crack Test Methods and Evaluation Indexes Based on SCB. Chang’an University, China (2017)
Ekberg, T.D.A.: Failure Fracture Fatigue, an Introduction. Student Literature, Lund (2002)
Lim, I.; Johnston, I.; Choi, S.K.: Stress intensity factors for semi-circular specimens under three-point bending. Eng. Fract. Mech. 44(3), 363–382 (1993). https://doi.org/10.1016/0013-7944(93)90030-v
Ayatollahi, M.R.; Aliha, M.R.M.: Wide range data for crack tip parameters in two disc-type specimens under mixed mode loading. Comp. Mater. Sci. 38(4), 660–670 (2007). https://doi.org/10.1016/j.commatsci.2006.04.008
Fayed, A.: Numerical evaluation of mode I/II SIF of quasi-brittle materials using cracked semi-circular bend specimen. Eng. Solid Mech. 6(2), 175–186 (2018). https://doi.org/10.5267/j.esm.2018.1.002
China Aviation Research Institute. Stress Intensity Factor Handbook. Science Press, China (1993)
Chinese Ministry of Transport: Technical speciications for construction of highway asphalt pavements. JTG F40-2004. China Communications Press, Beijing (2004)
Lyu, G.; Hao, P.; Pang, L.; Wang, H.: Mechanical simulation of semi-circular bending test in asphalt mixtures. J. Wuhan Univ. Technol. 30(3), 58–60 (2008). https://doi.org/10.3963/j.issn.1671-4431.2008.03.015
Zhang, J.; Li, X.; Liu, G.; Pei, J.: Effects of material characteristics on asphalt and filler interaction ability. Int. J. Pavement Eng. 20(8), 928–937 (2019). https://doi.org/10.1080/10298436.2017.1366765
Zhang, J.; Li, X.; Ma, W.; Pei, J.: Characterizing heterogeneity of asphalt mixture based on aggregate particles movements. Iran J. Sci. Technol. A 43, 81–91 (2019). https://doi.org/10.1007/s40996-018-0125-0
Zhang, J.; Fan, Z.; Wang, H.; Sun, W.; Pei, J.; Wang, D.: Prediction of dynamic modulus of asphalt mixture using micromechanical method with radial distribution functions. Mater. Struct. 52(2), 1–12 (2019). https://doi.org/10.1617/s11527-019-1348-7
Ding, X.; Ma, T.; Huang, X.: Discrete-element contour-filling modeling method for micro-and macro-mechanical analysis of aggregate skeleton of asphalt mixture. J. Transp. Eng. B Pavement 145(1), 04018056 (2019)
Li, J.; Zhang, J.; Qian, G.; Zheng, J.; Zhang, Y.: Three-dimensional simulation of aggregate and asphalt mixture using parameterized shape and size gradation. J. Mater. Civ. Eng. 31(3), 04019004 (2019). https://doi.org/10.1061/(asce)mt.1943-5533.0002623
Ministry of Transport of PR China (MTPRC): Specifications for design of highway asphalt pavement. JTGD50-2017. Beijing: China Communications Press (2017)
Acknowledgements
This work was supported by the National Key R&D Program of China (Nos. 2018YFE0103800), the Department of Science & Technology of Shaanxi Province (Nos. 2017KCT-13), China Postdoctoral Science Foundation (Nos. 2017M620434), Shaanxi Postdoctoral Grant Program (No. 2017BSHYDZZ17), and the Special Fund for Basic Scientific Research of Central College of Chang’an University (Nos. 310821153502 and 310821173501). The authors gratefully acknowledge their financial support.
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Zhou, B., Pei, J., Zhang, J. et al. Comparison of Fracture Test Methods for Evaluating the Crack Resistance of Asphalt Mixture. Arab J Sci Eng 45, 8745–8758 (2020). https://doi.org/10.1007/s13369-020-04838-3
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DOI: https://doi.org/10.1007/s13369-020-04838-3