Predictive Models for Storage Modulus and Loss Modulus of Asphalt Mixtures
Publication: Journal of Materials in Civil Engineering
Volume 28, Issue 7
Abstract
Complex modulus of an asphalt mixture constitutes two components: representing the ability of the mixture to store energy (elastic behavior), and reflecting the capacity of the material to dissipate energy (viscous behavior). The main objective of this study was to develop predictive equations for the two components, and , to better quantify and assess the performance of conventional and modified mixtures alternate to standard laboratory testing. The dataset used in this effort encompassed 163 conventional dense graded asphalt concrete (DGAC), 13 asphalt-rubber asphalt concrete (ARAC) gap-graded, and 9 asphalt-rubber friction course (ARFC) open-graded mixes covering 5,550 data points. Aggregate gradation, binder, and volumetric property parameters were used as predictor variables. Squared-error optimization mathematical techniques were employed in developing predictive models. The statistical goodness of fit measures of and predictive models were very good to excellent. Validation results of the predictive models reflected effectiveness in reproducing observed values with goodness-of-fit measures in the domain of fair to excellent. Sensitivity performance analyses were also carried out to demonstrate the performance of asphalt mixtures with respect to different material properties.
Get full access to this article
View all available purchase options and get full access to this article.
References
AASHTO. (2006). “Determining dynamic modulus of hot mix asphalt concrete mixtures, AASHTO provisional standards.” AASHTO TP 62–07.
Abdo, A. A., Bayomy, F., Nielsen, R., Weaver, T., Jung, S. J., and Santi, M. J. (2009). “Prediction of the dynamic modulus of Superpave mixes.” Bearing capacity of roads, railways and airfields, Taylor & Francis Group, London, 305–314.
Bari, J. (2005). “Development of a new revised version of the Witczak predictive models for hot mix asphalt mixtures.” Ph.D. dissertation, Arizona State Univ., Tempe, AZ.
Bari, J., and Witczak, M. W. (2006). “Development of a new revised version of the Witczak E* predictive model for hot mix asphalt mixtures.” Assoc. Asphalt Paving Technol., 75, 381–423.
Biligiri, K. P. (2008). “Asphalt mixtures’ properties indicative of tire/pavement noise.” Ph.D. dissertation, Arizona State Univ., Tempe, AZ.
Biligiri, K. P. (2013). “Effect of pavement damping properties on tyre /road noise characteristics.” Constr. Build. Mater. J., 49, 223–232.
Biligiri, K. P., Kaloush, K. E., and Uzan, J. (2010). “Evaluation of asphalt mixtures’ viscoelastic properties using phase angle relationships.” Int. J. Pavement Eng., 11(2), 143–152.
Bonaquist, R. F., Christensen, D. W., and Stumps, W. (2003). “Simple performance tester for Superpave mix design: First-article development and evaluation.”, Transportation Research Boards of the National Academies, National Research Council, Washington, DC.
Christensen, D. W., Jr., Pellinen, T. K., and Bonaquist, R. F. (2003). “Hirsch model for estimating the modulus of asphalt concrete.” Assoc. Asphalt Paving Technol., 72, 97–121.
Cortés, F., and Elejabarrieta, M. J. (2006). “Modelling viscoelastic materials whose storage modulus is constant with frequency.” Int. J. Solids Struct., 43(25–26), 7721–7726.
Dai, Q (2010). “Prediction of dynamic modulus and phase angle of stone-based composites using a micromechanical finite-element approach.” J. Mater. Civ. Eng., 618–627.
Deacon, J. A, Tayebali, A, Harvey, J. T, Monismith, C. L (1997). “Influence of binder loss modulus on the fatigue performance of asphalt concrete pavements.” J. Assoc. Asphalt Paving Technol., 66, 633–685.
Du, P., Cheng, C., Lu, H., and Zhang, X. (2012). “Complex modulus of PDMS and its application in cellular force measurements.” 16th Int. Conf. on Miniaturized Systems for Chemistry and Life Sciences, Chemical and Biological Microsystems Society, Okinawa, Japan, 674–676.
Gahvari, F. (1995). “Modeling of the linear viscoelastic response of polymer modified asphalt binders at intermediate and high temperatures.” Ph.D. dissertation, Dept. of Civil Engineering, Virginia Polytechnic Institute and State Univ., Blacksburg, VA.
Huang, Y. H. (2010). Pavement analysis and design, 2nd Ed., Pearson Prentice Hall, Upper Saddle River, NJ.
Kaloush, K. E., et al. (2009a). “Performance evaluation of asphalt rubber mixtures in Arizona - Lake Havasu Project.” Arizona Dept. of Transportation, Materials Group, Phoenix.
Kaloush, K. E., et al. (2009b). “Performance evaluation of asphalt rubber mixtures in Arizona–Palo Parado project.” Arizona Dept. of Transportation, Materials Group, Phoenix.
Kim, Y. R. (2009). Modeling of asphalt concrete, ASCE, New York.
Mamlouk, M. S., and Zaniewski, J. P. (2010). Materials for civil and construction engineers, Pearson Prentice Hall, New York.
Naik, A., and Biligiri, K. (2014). “Predictive models to estimate phase angle of asphalt mixtures.” J. Mater. Civ. Eng., 04014235.
NCHRP (National Cooperative Highway Research Program). (2004). “Guide for mechanistic-empirical design of new and rehabilitated pavement structures.”, National Research Council, Transportation Research Board of the National Academies, Washington, DC.
Picado-Santos, L., Capitão, S. D., and Pais, J. C. (2003). “Stiffness modulus and phase angle prediction models for high modulus asphalt concrete.” Int. J. Pavements, 2(3), 37–49.
Ren, F., Fan, L., and Ma, G. (2011). “Simulation of viscoelastic behavior of defected rock by using numerical manifold method.” Front. Archit. Civ. Eng. China, 5(2), 199–207.
Roberts, F. L., Kandhal, P. S., Brown, E. R., Lee, D. Y., and Kennedy, T. W. (1996). “Hot mix asphalt materials, mixture design, and construction, 2nd Ed., National Asphalt Pavement Association Education Foundation, Lanham, MD.
Sakhaeifar, M. S., Kim, Y. R., and Kabir, P. (2015). “New predictive models for the dynamic modulus of hot mix asphalt.” Constr. Build. Mater., 76, 221–231.
Witczak, M. W., Kaloush, K. E., Pellinen, T. K., El-Basyouny, M., and Quintus, H. V. (2002). “Simple performance test for Superpave mix design.”, Transportation Research Boards of the National Academies, National Research Council, Washington, DC.
You, Z., and Buttlar, W (2006). “Micromechanical modeling approach to predict compressive dynamic moduli of asphalt mixtures using the distinct element method.” Transp. Res. Rec., 1970(1), 73–83.
You, Z., and Dai, Q. (2007). “Dynamic complex modulus predictions of hot-mix asphalt using a micromechanical-based finite element model.” Can. J. Civ. Eng., 34(12), 1519–1528.
Information & Authors
Information
Published In
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Mar 9, 2015
Accepted: Nov 23, 2015
Published online: Feb 8, 2016
Published in print: Jul 1, 2016
Discussion open until: Jul 8, 2016
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.