Technical Papers
Oct 24, 2014

Predictive Models to Estimate Phase Angle of Asphalt Mixtures

Publication: Journal of Materials in Civil Engineering
Volume 27, Issue 8

Abstract

The main objective of this study was to develop predictive models to estimate the viscoelastic phase angle (ϕ) of different asphalt mixtures using robust mathematical functions and operators in the form of a powerful beta distribution format. A total of 163 conventional dense-graded asphalt concrete (DGAC), 13 asphalt-rubber asphalt concrete (ARAC) gap graded, and 7 asphalt-rubber friction course (ARFC) open-graded mixes were available, amounting to a total of 5,490 data points. The asphalt materials parameters were used to develop ϕ predictive equations for DGAC, ARAC, and ARFC mixes separately using principal component analyses techniques and mathematical regression. In addition, ϕ master curves were developed for each mix type using the predicted ϕ. The statistical goodness of fit measured for all of the predictive models, DGAC, ARAC, and ARFC, were very good to excellent with Radj2 between 0.80 and 0.85, and Se/Sy less than 0.35. The performance and accuracy of the ϕ predictive models was assessed by comparing the predicted and the actual ϕ measured on similar mixtures obtained from past studies. The ϕ model predictions had very good to excellent correlations with the measured values indicated by very high R290%. Overall, the models and the relationships showed low bias and high precision indicating that the newly developed ϕ models are an excellent means of acquiring the ϕ for the three different asphalt mixes in the absence of testing capabilities. Furthermore, it is envisioned that ϕ can be incorporated in futuristic sustainable flexible pavement designs and practices, complementing stiffness parameters such as moduli and contributing to a comprehensive understanding of the intricate viscoelastic characteristics of the asphalt mixes.

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Acknowledgments

The authors would like to thank Prof. Kamil Kaloush of Arizona State University (ASU) who authorized the use of ASU’s advanced pavement material characterization database to develop the various models in this study.

References

AASHTO. (2006). “Standard method of test for determining dynamic modulus of hot-mix asphalt concrete mixtures.” TP62-07, AASHTO Provisional Standards, Washington, DC.
American Society for Testing, and Materials International (ASTM). (2011). “Standard test method for determining the resilient modulus of bituminous mixtures by indirect tension test.” 7369-11, West Conshohocken, PA.
Bari, J. (2005). “Development of a new revised version of the Witczak E* 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., Phoenix, 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.”, National Cooperative Highway Research Program, 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.
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.
Gottumukkala, B. (2011). “Evaluation of dynamic modulus values of bituminous mixes for mechanistic empirical pavement design.” M.S. thesis, Dept. of Civil Engineering, Indian Institute of Technology Kharagpur, West Bengal, India.
Hair, J. F., Jr., Black, W. C., Babin, B. J., and Anderson, R. E. (2010). Multivariate data analysis, 7th Ed., Prentice Hall, Upper Saddle River, NJ.
Indian Roads Congress (IRC). (2012). “Tentative guidelines for the design of flexible pavements, published by Indian Roads Congress.”, Ministry of Road Transport & Highways, Government of India, New Delhi, India.
Kaloush, K. E., Biligiri, K. P., Rodezno, M. C., Zeiada, W. A., Souliman, M. I., and Reed, J. X. (2009). “Performance evaluation of asphalt rubber mixtures in Arizona—Lake Havasu project.” Final Rep., Arizona Dept. of Transportation, Materials Group, Phoenix, AZ.
Luo, R., and Lytton, R. (2010). “Characterization of the tensile viscoelastic properties of an undamaged asphalt mixture.” J. Transp. Eng., 173–180.
Ministry of Road Transportation and Highways (MoRTH). (2001). Specifications for road and bridge works, 4th Revision, New Delhi, India.
Naik, A. K. (2014). “Predictive models to estimate phase angle of asphalt mixtures.” M.S. thesis, Indian Institute of Technology Kharagpur, West Bengal, India.
National Cooperative Highway Research Program (NCHRP). (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.
Rohatgi, V. K., and Saleh, A. K. M. E. (2001). An introduction to probability and statistics, 2nd Ed., Wiley, Hoboken, NJ.
Witczak, M. (2005). “NCHRP Rep. 547: Simple performance tests: Summary of recommended methods and database.” Transportation Research Board of the National Academies, National Research Council, Washington, DC.
Witczak, M. W., Kaloush, K. E., Pellinen, T. K., El-Basyouny, M., and Quintus, H. (2002). “Simple performance test for Superpave mix design.”, Transportation Research Board of the National Academies, National Research Council, Washington, DC.
Zhang, Y., Luo, R., and Lytton, R. (2012). “Anisotropic viscoelastic properties of undamaged asphalt mixtures.” J. Transp. Eng., 75–89.

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Go to Journal of Materials in Civil Engineering
Journal of Materials in Civil Engineering
Volume 27Issue 8August 2015

History

Received: May 25, 2014
Accepted: Sep 12, 2014
Published online: Oct 24, 2014
Discussion open until: Mar 24, 2015
Published in print: Aug 1, 2015

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Authors

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Akash Kumar Naik [email protected]
Graduate Research Assistant, Dept. of Civil Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal 721302, India. E-mail: [email protected]
Krishna Prapoorna Biligiri [email protected]
Assistant Professor, Dept. of Civil Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal 721302, India (corresponding author). E-mail: [email protected]; [email protected]

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