Analysis of Linear Viscoelastic Response Function Model for Asphalt Binders
Publication: Journal of Materials in Civil Engineering
Volume 28, Issue 6
Abstract
Asphalt binder properties play a significant role in the performance of asphalt pavement, but it is impossible to test the properties of asphalt binders under every condition. However, a suitable model that can be established using only a few tests can predict the behavior of asphalt binders under different conditions. Such models have received much attention over the last few decades. Many types of models are available, but most of them focus on only one kind of viscoelastic characteristic, whereas a good model should describe not only the dynamic viscoelastic characteristics of asphalt binders under cyclic loading but also their static viscoelastic characteristics. Based on this idea, the aim of this study is to compare the commonly used models and determine which one(s) can best describe both the dynamic and static viscoelastic characteristics of asphalt binders at intermediate temperatures and are suitable for establishing a fatigue damage model of asphalt binders. The dynamic viscoelastic characteristics as well as the static creep and relaxation characteristics of two kinds of neat asphalt binders were tested. The Maxwell model, three-parameter liquid model, Burger’s model, the generalized Maxwell model, and the 1S2P1D model were compared for describing different characteristics of the asphalt binders. The results indicate that the generalized Maxwell model and 1S2P1D model are better than other models at describing the viscoelastic characteristics of asphalt binders. Both of them have advantages and disadvantages. Together with the ability to describe the behaviors of asphalt binders and the computational difficulty, the generalized Maxwell model is recommended.
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Acknowledgments
This study was sponsored by the National Natural Science Foundation of China (51478153 and 51108138), the China Postdoctoral Science Foundation (2014T70352 and 2013M531050), and the Fundamental Research Funds for the Central Universities (Grant HIT.NSRIF.2014081).
References
Akhter, G. F., and Witczak, M. W. (1985). “Sensitivity of flexible pavement performance to bituminous mix properties.” Transp. Res. Rec., 1034, 70–79.
Badami, J. V., and Greenfield, M. L. (2011). “Maxwell model analysis of bitumen rheological data.” J. Mater. Civ. Eng., 1387–1395.
Chang, K. N. G., and Meegoda, J. N. (1997). “Micromechanical simulation of hot mix asphalt.” J. Eng. Mech., 495–503.
Chehab, G. R., Kim, Y. R., Schapery, R. A., Witczak, M. W., and Bonaquist, R. (2002). “Time-temperature superposition principle for asphalt concrete mixtures with growing damage in tension state.” J. Assoc. Asphalt Paving Technol., 71, 559–593.
Christensen, D. W., and Anderson, D. A. (1992). “Interpretation of dynamic mechanical test data for paving grade asphalt cements.” J. Assoc. Asphalt Paving Technol., 61, 67–116.
Christensen, D. W., Pellinen, T., and Bonaquist, R. F. (2003). “Hirsch model for estimating the modulus of asphalt concrete.” J. Assoc. Asphalt Paving Technol., 72, 97–121.
Delgadillo, R., Bahia, H. U., and Lakes, R. (2012). “A nonlinear constitutive relationship for asphalt binders.” Mater. Struct., 45(3), 457–473.
González, J. M., Canet, J. M., Oller, S., and Miró, R. (2007). “A viscoplastic constitutive model with strain variable for asphalt mixture-numerical simulation.” Comput. Mater. Sci., 38(4), 543–560.
Huet, C. (1963). “Etude par une méthode d’impédance du comportement viscoéélastique des matériaux hydro-carbones.” Ph.D. thesis, Facultéédes Sciences de Paris, France.
Marateanu, M., and Anderson, D. (1996). “Time-temperature dependency of asphalt binders—An improved model.” J. Assoc. Asphalt Paving Technol., 65, 408–448.
Miller, J. S., Uzan, J., and Witczak, M. W. (1983). “Modification of asphalt institute bituminous mix modulus predictive equation.” Transp. Res. Rec., 911, 27–36.
Mun, S., and Zi, G. (2010). “Modeling the viscoelastic function of asphalt concrete using a spectrum method.” Mech. Time-Depend. Mater., 14(2), 191–202.
Oeser, M., and Pellinien, T. (2012). “Computational framework for common visco-elastic models in engineering based on the theory of rheology.” Comput. Geotech., 42, 145–156.
Olard, F., and Di Benedetto, H. (2003). “General ‘2S2P1D’model and relation between the linear viscoelastic behaviours of bituminous binders and mixes.” Road Mater. Pavement, 4(2), 185–224.
Olard, F., and Di Benedetto, H. (2005). “The ‘DBN’ model: A thermo-visco-elasto-plastic approach for pavement behavior modeling.” J. Assoc. Asphalt Paving Technol., 74, 791–828.
Park, S. W., and Schapery, R. A. (1999). “Methods of interconversion between linear viscoelastic material functions. Part I—A numerical method based on Prony series.” Int. J. Solids Struct., 36(11), 1653–1675.
Pellinen, T. K., and Witczak, M. W. (2002). “Stress dependent master curve construction for dynamic (complex) modulus.” J. Assoc. Asphalt Paving Technol., 71, 281–309.
Pronk, A. C. (2005). “The Huet-Sayegh model: A simple and excellent rheological model for master curves of asphaltic mixes.” Proc., R. Lytton Symp. on Mechanics of Flexible Pavements, ASCE, Baton Rouge, LA, 73–82.
Reyes, M., Kazatchkov, I. B., Stastna, J., and Zanzotto, L. (2009). “Modeling of repeated creep and recovery experiments in asphalt binders.” Transp. Res. Rec., 2126, 63–72.
Shook, J. F., and Kallas, B. K. (1969). “Factors influencing dynamic modulus of asphalt concrete.” Proc. Assoc. Asphalt Paving Technol., 38, 140–178.
Sun, L., and Zhu, Y. T. (2013). “A serial two-stage viscoelastic-viscoplastic constitutive model with thermodynamical consistency for characterizing time-dependent deformation behavior of asphalt concrete mixtures.” Constr. Build. Mater., 40, 584–595.
Williams, M. L., Landel, R. F., and Ferry, J. D. (1955). “The temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids.” J. Am. Chem. Soc., 77(14), 3701–3707.
Witczak, M. W., and Fonseca, O. A. (1996). “Revised predictive model for dynamic (complex) modulus of asphalt mixtures.” Transp. Res. Rec., 1540, 15–23.
Xu, Q. W., and Solaimanian, M. (2009). “Modelling linear viscoelastic properties of asphalt concrete by the Huet-Sayegh model.” Int. J. Pavement Eng., 10(6), 401–422.
Zhang, H. (2014). “Mechanism analysis of the differences of asphalt fatigue damage under stress and strain control mode.” Master thesis, Harbin Institute of Technology, China.
Zhu, H., Rish, J. W., III, and Batra, S. (2001). “A constitutive study of two-phase materials. Part II: Maxwell binder.” Comput. Geotech., 28(5), 309–323.
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Published In
Journal of Materials in Civil Engineering
Volume 28 • Issue 6 • June 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Dec 31, 2014
Accepted: Oct 7, 2015
Published online: Jan 7, 2016
Published in print: Jun 1, 2016
Discussion open until: Jun 7, 2016
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