Using Frequency Sweep Test to Predict Creep and Recovery Response of Asphalt Binders
Publication: Journal of Materials in Civil Engineering
Volume 31, Issue 6
Abstract
This paper presents a methodology to obtain creep and recovery response of asphalt binders merely by using frequency sweep tests, which are relatively easier to conduct. This proposed methodology would be useful for practitioners and researchers in modeling time-dependent rutting performance of asphalt binders using simple linear viscoelastic measurements obtained from dynamic shear rheometer (DSR). Frequency sweep tests were conducted on four different asphalt binders at temperatures ranging from 10°C to 70°C. Complex modulus master curves were constructed for 40°C, 50°C, and 60°C followed by presmoothing using a power law and modeling using a Prony series. The estimated complex modulus, which is in frequency domain, was translated into the relaxation modulus, a time domain entity. The relaxation modulus was converted to creep compliance using Laplace transform. The resultant creep compliance was modeled using a generalized Burgers model (GBM), which was used for predicting creep and recovery response of asphalt binders for different loading and unloading periods. The predicted creep and recovery profiles were successfully validated with the multiple stress creep and recovery (MSCR) measurements obtained at 40°C, 50°C, and 60°C for all binders.
Get full access to this article
View all available purchase options and get full access to this article.
References
AASHTO. 2012. Standard test method for multiple stress creep recovery (MSCR) test of asphalt binder using a dynamic shear rheometer. AASHTO TP70. Washington, DC: AASHTO.
Airey, G. D., J. R. A. Grenfell, A. Apeagyei, A. Subhy, and D. Lo Presti. 2016. “Time dependent viscoelastic rheological response of pure, modified and synthetic bituminous binders.” In Mechanics of time-dependent materials, 1–26. Dordrecht, Netherlands: Springer.
Airey, G. D., B. Rahimzadeh, and A. C. Collop. 2003. “Viscoelastic linearity limits for bituminous materials.” Mater. Struct. 36 (10): 643–647. https://doi.org/10.1007/BF02479495.
Airey, G. D., B. Rahimzadeh, and A. C. Collop. 2004. “Linear rheological behavior of bituminous paving materials.” J. Mater. Civ. Eng. 16 (3): 212–220. https://doi.org/10.1061/(ASCE)0899-1561(2004)16:3(212).
ASTM. 2012. Standard test method for multiple stress creep and recovery (MSCR) of asphalt binder using a dynamic shear rheometer. ASTM D7405-10a. West Conshohocken, PA: ASTM.
Behzadfar, E., and S. G. Hatzikiriakos. 2013. “Viscoelastic properties and constitutive modelling of bitumen.” Fuel 108 (6): 391–399. https://doi.org/10.1016/j.fuel.2012.12.035.
Christensen, R. M. 1982. Theory of viscoelasticity: An introduction. New York: Academic Press.
D’Angelo, J. 2009. “The relationship of the MSCR test to rutting.” Supplement, Road Mater. Pavement Des. 10 (S1): 61–80. https://doi.org/10.1080/14680629.2009.9690236.
David, M., and I. Domingos. 2013. “The application of the MSCR test on the rheological characterization of asphalt binders modified with EVA and PPA.” In Proc., Int. Journal of Pavements Conf. Abingdon, UK: Taylor & Francis.
Denby, E. F. 1975. “A note on the interconversion of creep, relaxation, and recovery.” Rheologica Acta 14 (7): 591–593. https://doi.org/10.1007/BF01520810.
Di Benedetto, H., F. Olard, C. Sauzéat, and B. Delaporte. 2004. “Linear viscoelastic behaviour of bituminous materials: From binders to mixes.” Supplement, Road Mater. Pavement Des. 5 (S1): 163–202. https://doi.org/10.1080/14680629.2004.9689992.
Dondi, G., V. Vignali, M. Pettinari, F. Mazzotta, A. Simone, and C. Sangiorgi. 2014. “Modeling the DSR complex shear modulus of asphalt binder using 3D discrete element approach.” Constr. Build. Mater. 54 (3): 236–246. https://doi.org/10.1016/j.conbuildmat.2013.12.005.
Dubois, E., D. Y. Mehta, and A. Nolan. 2014. “Correlation between multiple stress creep recovery (MSCR) results and polymer modification of binder.” Constr. Build. Mater. 65 (8): 184–190. https://doi.org/10.1016/j.conbuildmat.2014.04.111.
Ebrahimi, M., M. Saleh, and M. Moyers Gonzalez. 2014. “Investigating applicability of complex modulus and creep compliance interconversion in asphalt concrete.” Adv. Civ. Eng. Mater. 3 (1): 107–121. https://doi.org/10.1520/ACEM20130103.
Ferry, J. D. 1980. Viscoelastic properties of polymers. New York: Wiley.
Hajikarimi, P., M. Rahi, and F. Moghadas Nejad. 2015. “Comparing different rutting specification parameters using high temperature characteristics of rubber-modified asphalt binders.” Road Mater. Pavement Des. 16 (4): 751–766. https://doi.org/10.1080/14680629.2015.1063533.
Hintz, C., R. Velasquez, C. Johnson, and H. Bahia. 2011. “Modification and validation of linear amplitude sweep test for binder fatigue specification.” Transp. Res. Rec. 2207: 99–106. https://doi.org/10.3141/2207-13.
Huang, Y. H. 2010. Pavement analysis and design. Upper Saddle River, NJ: Pearson Education.
Johnson, C., H. Bahia, and H. Wen. 2009. “Practical application of viscoelastic continuum damage theory to asphalt binder fatigue characterization.” J. Assoc. Asphalt Paving Technol. 78: 597–638.
Masad, E., C. W. Huang, G. Airey, and A. Muliana. 2008. “Nonlinear viscoelastic analysis of unaged and aged asphalt binders.” Constr. Build. Mater. 22 (11): 2170–2179. https://doi.org/10.1016/j.conbuildmat.2007.08.012.
Matsumoto, D. S. 1988. “Time-temperature superposition and physical aging in amorphous polymers.” Polymer Eng. Sci. 28 (20): 1313–1317. https://doi.org/10.1002/pen.760282005.
Monsia, M. D. 2012. “A mathematical model for predicting the relaxation of creep strains in materials.” Phys. Rev. Res. Int. 2 (3): 107–124. https://doi.org/10.1098/rspa.2017.0540.
Moon, K. H., A. Cannone Falchetto, and M. O. Marasteanu. 2013. “Rheological modelling of asphalt materials properties at low temperatures: From time domain to frequency domain.” Road Mater. Pavement Des. 14 (4): 810–830. https://doi.org/10.1080/14680629.2013.817351.
Mun, S., G. R. Chehab, and Y. R. Kim. 2007. “Determination of time-domain viscoelastic functions using optimized interconversion techniques.” Road Mater. Pavement Des. 8 (2): 351–365. https://doi.org/10.1080/14680629.2007.9690078.
Park, S. W., and Y. R. Kim. 2001. “Fitting Prony-series viscoelastic models with power-law presmoothing.” J. Mater. Civ. Eng. 13 (1): 26–32. https://doi.org/10.1061/(ASCE)0899-1561(2001)13:1(26).
Park, S. W., and R. A. Schapery. 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. https://doi.org/10.1016/S0020-7683(98)00055-9.
Saboo, N. 2016. “Performance characterization of polymer modified asphalt binders and mixes.” Ph.D. thesis, Dept. of Civil Engineering, Indian Institute of Technology Roorkee.
Saboo, N., and P. Kumar. 2016. “Analysis of different test methods for quantifying rutting susceptibility of asphalt binders.” J. Mater. Civ. Eng. 28 (7): 04016024. https://doi.org/10.1061/(ASCE)MT.1943-5533.0001553.
Singh, B., N. Saboo, and P. Kumar. 2016. “Modelling the complex modulus strain relationship of asphalt binders.” Pet. Sci. Technol. 34 (13): 1137–1144. https://doi.org/10.1080/10916466.2016.1190749.
Vikram, D., and N. Saboo. 2017. “Effective technique to estimate cross model parameters.” J. Mater. Civ. Eng. 29 (11): 04017203. https://doi.org/10.1061/(ASCE)MT.1943-5533.0002043.
Yang, J. L., Z. Zhang, A. K. Schlarb, and K. Friedrich. 2006. “On the characterization of tensile creep resistance of polyamide 66 nanocomposites. Part II: Modeling and prediction of long-term performance.” Polymer 47 (19): 6745–6758. https://doi.org/10.1016/j.polymer.2006.07.060.
Yusoff, N. I. M., F. M. Jakarni, V. H. Nguyen, M. R. Hainin, and G. D. Airey. 2013. “Modelling the rheological properties of bituminous binders using mathematical equations.” Constr. Build. Mater. 40 (3): 174–188. https://doi.org/10.1016/j.conbuildmat.2012.09.105.
Zhang, J., L. F. Walubita, A. N. M. Faruk, P. Karki, and G. S. Simate. 2015. “Use of the MSCR test to characterize the asphalt binder properties relative to HMA rutting performance: A laboratory study.” Constr. Build. Mater. 94 (9): 218–227. https://doi.org/10.1016/j.conbuildmat.2015.06.044.
Zhou, T., J. Yan, J. Masuda, and T. Kuriyagawa. 2009. “Investigation on the viscoelasticity of optical glass in ultraprecision lens molding process.” J. Mater. Process. Technol. 209 (9): 4484–4489. https://doi.org/10.1016/j.jmatprotec.2008.10.030.
Information & Authors
Information
Published In
Journal of Materials in Civil Engineering
Volume 31 • Issue 6 • June 2019
Copyright
©2019 American Society of Civil Engineers.
History
Received: Jul 6, 2018
Accepted: Nov 21, 2018
Published online: Mar 30, 2019
Published in print: Jun 1, 2019
Discussion open until: Aug 30, 2019
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.