Improving the Accuracy of Dynamic Modulus Master Curves of Asphalt Mixtures Constructed Using Uniaxial Compressive Creep Tests
This article has been corrected.
VIEW CORRECTIONPublication: Journal of Materials in Civil Engineering
Volume 29, Issue 7
Abstract
Uniaxial monotonic or constant loading tests have been used to efficiently construct master curves of the magnitude and phase angle of the complex modulus of asphalt mixtures. However, when using monotonic or constant tests, the test data fitting model and time-temperature shift factor equation were usually arbitrarily chosen to construct the master curves, which were not validated at all or were validated using only a couple of data points. This study developed a composite test protocol consisting of uniaxial compressive creep tests to construct the master curves and dynamic modulus tests to validate the constructed master curves of the magnitudes of the complex moduli of asphalt mixtures. The loading force and duration were carefully chosen for each test segment to assure that the test specimen was retained in the linear viscoelastic stage during the entire test protocol. Commonly used data fitting models and time-temperature shift factor equations were compared, respectively, when constructing and validating the master curves. The Prony series model was determined to be the best fitting model for the creep strains because it not only provided satisfactory modeling accuracy but also complied with the actual material properties of asphalt mixtures. The Williams–Landel–Ferry (WLF) equation was demonstrated to be the most appropriate time-temperature shift factor equation because the master curve constructed with the WLF equation made the most accurate predictions in a fairly wide range of frequencies. This study refined the master curve construction method for asphalt mixtures using uniaxial monotonic or constant loading tests. With properly selected and validated data fitting model and time-temperature shift factor equation, the constructed master curve had the capability of accurately predicting the magnitude of the complex modulus in a wide range of loading frequencies with an value of approximately 0.97 or higher.
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Acknowledgments
The authors acknowledge the financial support of the 973 Program of the Ministry of Science and Technology of China (Project No. 2015CB060100). Special thanks are given to the 1,000-Youth Elite Program of China for the start-up funds for purchasing the laboratory equipment that is crucial to this research.
References
AASHTO. (2007). “Standard method of test for determining dynamic modulus of hot mix asphalt (HMA).” TP 62-07, Washington, DC.
ARA (Applied Research Associates). (2004). “Guide for mechanistic-empirical design of new and rehabilitated pavement structures.” National Cooperative Highway Research Program (NCHRP) Rep. 1-37A, Transportation Research Board, Washington, DC.
ASTM. (2003). “Standard test method for dynamic modulus of asphalt mixtures.” ASTM D3497, West Conshohocken, PA.
Burnham, K. P., Anderson, D. R., and Huyvaert, K. P. (2011). “AIC model selection and multimodel inference in behavioral ecology: Some background, observations, and comparisons.” Behav. Ecol. Sociobiol., 65(1), 23–35.
Findley, W. N., Lai, J. S., and Onaran, K. (1989). Creep and relaxation of nonlinear viscoelastic materials with an introduction to linear viscoelasticity, Dover, Mineola, NY.
Gross, B. (1953). Mathematical structure of the theories of viscoelasticity, Hermann & Cie, Paris.
Kim, J., Sholar, G. A., and Kim, S. (2008). “Determination of accurate creep compliance and relaxation modulus at a single temperature for viscoelastic solids.” J. Mater. Civ. Eng., 147–156.
Kim, Y. R. (2008). Modeling of asphalt concrete, McGraw-Hill, New York.
Kim, Y. R., and Park, S. W. (2001). “Fitting Prony-series viscoelastic models with power-law presmoothing.” J. Mater. Civ. Eng., 26–32.
Levenberg, E., and Shah, A. (2008). “Interpretation of complex modulus test results for asphalt-aggregate mixes.” J. Test. Eval., 36(4), 1–9.
Levenberg, E., and Uzan, J. (2004). “Triaxial small-strain viscoelastic-viscoplastic modeling of asphalt aggregate mixes.” Mech. Time-Depend. Mater., 8(4), 365–384.
Luo, R., and Lytton, R. L. (2010). “Characterization of the tensile viscoelastic properties of an undamaged asphalt mixture.” J. Transp. Eng., 173–180.
Luo, X., Luo, R., and Lytton, R. L. (2013a). “Characterization of fatigue damage in asphalt mixtures using pseudostrain energy.” J. Mater. Civ. Eng., 208–218.
Luo, X., Luo, R., and Lytton, R. L. (2013b). “Characterization of recovery properties of asphalt mixtures.” Constr. Build. Mater., 48(19), 610–621.
Luo, X., Luo, R., and Lytton, R. L. (2013c). “Energy-based mechanistic approach to characterize crack growth of asphalt mixtures.” J. Mater. Civ. Eng., 1198–1208.
Ministry of Transport of China. (2004). “Technical specification for construction of highway asphalt pavements.” JTG F40-2004, China Communications Press, Beijing.
Mun, S., Chehab, G. R., and Kim, Y. R. (2007). “Determination of time-domain viscoelastic functions using optimized interconversion techniques.” Road Mater. Pavement Des., 8(2), 351–365.
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.
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., Witczak, M. W., and Bonaquist, R. F. (2002). “Asphalt mix master curve construction using sigmoidal fitting function with non-linear least squares optimization.” Recent advances in materials characterization and modeling of pavement systems, ASCE, Reston, VA.
Schapery, R. A. (1965). “A method of viscoelastic stress analysis using elastic solutions.” J. Franklin Inst., 279(4), 268–289.
Station Manager [Computer software]. MTS Systems Corporation, Eden Prairie, MN.
Walubita, L. F., Martin, A. E., Cleveland, G. S., and Lytton, R. L. (2006). “Computation of pseudo strain energy and Paris law fracture coefficients from surface energy and uniaxial strain-controlled tension test data.” Int. J. Pavement Eng., 7(3), 167–178.
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.
Wineman, A. S., and Rajagopal, K. R. (2000). Mechanical response of polymers: Introduction, Cambridge University Press, Cambridge, U.K.
Zhang, Y., Luo, R., and Lytton, R. L. (2012). “Anisotropic viscoelastic properties of undamaged asphalt mixtures.” J. Transp. Eng., 75–89.
Zhu, H., Sun, L., Yang, J., Chen, Z., and Gu, W. (2011). “Developing master curves and predicting dynamic modulus of polymer-modified asphalt mixtures.” J. Mater. Civ. Eng., 131–137.
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Journal of Materials in Civil Engineering
Volume 29 • Issue 7 • July 2017
Copyright
©2017 American Society of Civil Engineers.
History
Received: Mar 14, 2016
Accepted: Oct 27, 2016
Published online: Mar 24, 2017
Published in print: Jul 1, 2017
Discussion open until: Aug 24, 2017
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