Abstract
To completely investigate the physical properties of asphalt pavement materials, their viscoelastic master curves are generated using the least squares Levenberg–Marquardt (L–M) method based on the time temperature superposition principle. In this study, the limitation of obtaining the viscoelastic master curves of the four asphalts and their asphalt mixtures considered herein using Williams–Landel–Ferry (WLF) and Arrhenius equations is analyzed. Next, that the asphalts and asphalt mixtures belong to the category of simple thermo-rheological materials is verified by conducting through the dynamic frequency sweep test. It is found that the master curves of these asphalt pavement materials generated by the least squares L–M method are in good agreement with those obtained by applying the WLF equation at moderate and high temperature. The results show that the least squares L–M method is superior to the other methods examined herein for deriving the master curves of asphalt pavement materials within the operating temperature range. Additionally, it is a reasonable and effective way to generate a master curve and provides a theoretical reference for the comprehensive study of asphalt pavement materials.
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References
Dudowicz J, Douglas JF, Freed KF (2015) The meaning of the “universal” WLF parameters of glass-forming polymer liquids. J Chem Phys 142(1):014905
Zhang JP, Fan ZP, Pei JZ, Li R, Chang MF (2015) Multiscale validation of the applicability of micromechanical models for asphalt mixture. Adv Mater Sci Eng 2015(937126):1–8
Ma T, Wang H, Zhao YL, Huang XM, Wang SQ (2017) Laboratory investigation of crumb rbber modified asphalt binder and mixtures with warm-mix additives. Int J Civ Eng 15:185–219
Huang W, Zhang X, Yin Y, Cai S (2017) A numerical implementation of the three-dimensional viscoelastic model for asphalt mastic. Int J Civ Eng. doi:10.1007/s40999-017-0160-4
Toraldo E, Mariani E (2014) Effects of polymer additives on bituminous mixtures. Constr Build Mater 65:38–42
Rubinstein M, Colby RH (2003) Polymer physics. Oxford University Press, New York, pp 126–225
Chompoorat T, Likitlersuang S (2016) Influence of asphalt binder on time-temperature shift function for asphalt concrete at large strains. KSCE J Civ Eng 20(7):2765–2774
Chi FX, Zhang XN, Wang LJ (2009) Determination of master curve of dynamic shearing modulus of asphalt mixture. J Jilin Univ 39(2):349–353
Yan J, Zhang Z, Charmot S, Ding W, Li F (2014) Investigation and prediction model for the dynamic modulus of asphalt emulsion cold recycled mixtures. J Mater Civ Eng 27(1):04014113
Liu QS, Wang CG (2002) Theoretical and experimental study on time-temperature equivalent principle for rock. Chin J Rock Mech Eng 21:193–198
Wu SP, Chen Z, Ye QS, Liao WD (2006) Effects of fiber additive on the high temperature property of asphalt binder. J Wuhan Univ Technol Mater Sci Ed 21(1):118–120
Zhan XL, Wang DY (2010) Analysis of viscoelastic properties of modified asphalt via dynamic mechanical method. J South China Univ Technol (Nat Sci Ed) 38(3):37–40
Wang JY, Chen JB, Wei YQ, Shen CY (2003) A unified method to dynamic formation of rheological master curve for polymer melt. China Plast 17(8):53–57
Ferry JD (1980) Viscoelastic properties of polymers, 3rd edn. Willey, New York
Kim M, Mohammad LN, Elseifi MA (2015) Effects of various extrapolation techniques for abbreviated dynamic modulus test data on the MEPDG rutting predictions. J Mater Sci Technol 23(3):353–363
Pellinen TK, Witczak MW, Bonaquist RF (2003) Asphalt mix master curve construction using sigmoidal fitting function with non-linear least squares optimization. In: Recent advances in materials characterization and modeling of pavement systems, vol 123. ASCE, pp 83–101
Chailleux E, Ramond G, Such C, Roche CL (2006) A mathematical-based master curve construction method applied to complex modulus of bituminous materials. Road Mater Pavement Design 7(Suppl 1):75–92
Forough SA, Nejad FM, Khodaii A (2015) An investigation of different fitting functions to accurately model the compressive relaxation modulus master curve of asphalt mixes. Road Mater Pavement Design 16(4):767–783
Esra’a IA, Abo-Qudais SA (2017) Hot mix asphalt time-temperature shifting and fitting technique: a comparative study. Constr Build Mater 146:514–523
Ministry of Transport of the People’s Republic of China (2011) Standard test methods of bitumen and bituminous mixtures for highway engineering. China Communications Press, Beijing
Ministry of Transport of the People’s Republic of China (2004) Technical specifications for the construction of highway asphalt pavements in China. China Communications Press, Beijing
Zheng Q, Zhang XW, Pan Y, Yi XS (2002) Polystyrene/Sn–Pb alloy blends. I. Dynamic rheological behavior. J Appl Polym Sci 86(12):3166–3172
Yin YM, Zhang XN, Zou GL (2010) Investigation on low-temperature performance of asphalt mixtures based on glass transition temperature. J South China Univ Technol 38(10):89–93
Khosravifar S, Haider I, Afsharikia Z, Schwartz CW (2015) Application of time–temperature superposition to develop master curves of cumulative plastic strain in repeated load permanent deformation tests. Int J Pavement Eng 16(3):214–223
Forough SA, Moghadas Nejad F, Khodaii A (2015) Development of a predictive model for the compressive relaxation modulus of asphalt mixtures. Road Mater Pavement Design 16(3):674–695
Li Q, Yang H, Ni F, Ma X, Luo L (2015) Cause analysis on permanent deformation for asphalt pavements using field cores. Constr Build Mater 100:40–51
Hu QX, Jiang YD, Li J, Fu TT (2003) Fitting of relaxation modulus master curve for solid propellant and WLF equation parameters. J Solid Rocket Technol 26(2):46–48
Topal A, Oner J, Sengoz B, Dokandari PA, Kaya D (2017) Evaluation of Rutting Performance of Warm Mix Asphalt. Int J Civ Eng. doi:10.1007/s40999-017-0188-5
Liu H, Luo R (2017) Development of master curve models complying with linear viscoelastic theory for complex moduli of asphalt mixtures with improved accuracy. Constr Build Mater 152:259–268
Acknowledgements
This work was supported by National Natural Science Foundation of China (Project no. 51508109). We thank Dr. He Liu for his revision during the preparation of this paper. The authors thank all those who contributed in the experimental part of this study and their help for the preparation of this paper.
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Yin, Y., Huang, W., Lv, J. et al. Unified Construction of Dynamic Rheological Master Curve of Asphalts and Asphalt Mixtures. Int J Civ Eng 16, 1057–1067 (2018). https://doi.org/10.1007/s40999-017-0256-x
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DOI: https://doi.org/10.1007/s40999-017-0256-x