Modification of the Hirsch Dynamic Modulus Prediction Model for Asphalt Mixtures
Publication: Journal of Materials in Civil Engineering
Volume 29, Issue 12
Abstract
The dynamic modulus of an asphalt mixture plays a crucial role in pavement design and performance prediction of asphalt pavement. Among many predictive models, the semiempirical Hirsch model is one of the most popularly used dynamic modulus prediction models. However, the current Hirsch model uses several model constants that were determined based on a number of assumptions and simplifications for conventional asphalt mixtures. Considering the trend of using new types of asphalt mixtures and the potential application of the modulus properties in fundamental pavement performance analysis, those constants may not be appropriate any longer. This paper aims to modify the current Hirsch model by generalizing the model parameters based on the rule of mixtures and the theory of elasticity and viscoelasticity. Twenty-six asphalt mixtures, which contain different percentages of reclaimed asphalt pavement (RAP), sourced from China and the United States were used in this study to evaluate the predictive quality of the modified Hirsch model compared with other models. The modified Hirsch model produced the best predictive quality among three models. In addition, the modified model was suitable for predicting the dynamic modulus of high RAP mixtures. Future work was recommended to validate the proposed model using a larger database.
Get full access to this article
View all available purchase options and get full access to this article.
References
AASHTO. (2008). “Mechanistic-empirical pavement design guide.” Washington, DC.
AASHTO. (2009). “Standard method of test for effect of heat and air on a moving film of asphalt binder (rolling thin-film oven test).” AASHTO T240, Washington DC.
AASHTO. (2011a). “Standard method of test for determining the dynamic modulus and flow number for hot mix asphalt (HMA) using the asphalt mixture performance tester (AMPT).” AASHTO TP79-11, Washington, DC.
AASHTO. (2011b). “Standard practice for recovery of asphalt binder from solution by Abson method.” AASHTO R59, Washington, DC.
AASHTO. (2011c). “Standard specifications for transportation materials and methods of sampling and testing, standard method of test for hamburg wheel-track testing of compacted hot mix asphalt (HMA).” AASHTO T324-14, Washington, DC.
AASHTO. (2014). ”Standard method of test for estimating damage tolerance of asphalt binders using the linear amplitude sweep.” AASHTP TP101, Washington DC.
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, CRC Press, Boca Raton, FL, 305–314.
Apeagyei, A. K. (2011). “Rutting as a function of dynamic modulus and gradation.” J. Mater. Civ. Eng., 1302–1310.
Bari, J., and Witczak, M. (2006). “Development of a new revised version of the Witczak predictive model for hot mix asphalt mixtures (with discussion).” J. Assoc. Asphalt Paving Technol., 75, 381–423.
Bayat, A., and Knight, M. (2010). “Investigation of hot-mix asphalt dynamic modulus by means of field-measured pavement response.” Transp. Res. Rec., 2154, 138–145.
Benedetto, H. D., Delaporte, B., and Sauzéat, C. (2007). “Three-dimensional linear behavior of bituminous materials: Experiments and modeling.” Int. J. Geomech., 149–157.
CCCC (China Communications Construction Company Road and Bridge Consultants). (2017). Specifications for design of highway asphalt pavement, Beijing.
Ceylan, H., Gopalakrishnan, K., and Kim, S. (2007). “Hot mix asphalt dynamic modulus prediction models using neural networks approach.” Intelligent engineering systems through artificial neural networks, Vol. 17, ASME, New York.
Christensen, D. W., Pellinen, T., and Bonaquist, R. F. (2003). “Hirsch models for estimating the modulus of asphalt concrete.” Asphalt Paving Technol., 72, 97–121.
Goh, S. W., You, Z., Williams, R. C., and Li, X. (2010). “Preliminary dynamic modulus criteria of HMA for field rutting of asphalt pavements: Michigan’s experience.” J. Transp. Eng., 37–45.
Gokceoglu, C., and Zorlu, K. (2004). “A fuzzy model to predict the uniaxial compressive strength and the modulus of elasticity of a problematic rock.” Eng. Appl. Artif. Intell., 17(1), 61–72.
Gudmarsson, A., Ryden, N., Di Benedetto, H., and Sauzéat, C. (2015). “Complex modulus and complex Poisson’s ratio from cyclic and dynamic modal testing of asphalt concrete.” Constr. Build. Mater., 88, 20–31.
Kassem, E., Grasley, Z. C., and Masad, E. (2013). “Viscoelastic Poisson’s ratio of asphalt mixtures.” Int. J. Geomech., 162–169.
Khattab, A. M., El-Badawy, S. M., Al Hazmi, Al Abbas, and Elmwafi, M. (2014). “Evaluation of Witczak predictive models for the implementation of AASHTOWare-Pavement ME Design in the Kingdom of Saudi Arabia.” Constr. Build. Mater., 64, 360–369.
Kim, M. (2010). “Development of differential scheme micromechanics modeling framework for predictions of hot-mix asphalt (HMA) complex modulus and experimental validations.” Ph.D. dissertation, Univ. of Illinois at Urbana, Champaign, IL.
Kim, Y. R., Little, D. N., and Lytton, R. L. (2002). “Use of dynamic mechanical analysis (DMA) to evaluate the fatigue and healing potential of asphalt binders in sand asphalt mixtures.” J. Assoc. Asphalt Paving Technol., 71, 176–206.
Kornblatt, J. A. (1998). “Materials with negative compressibilities.” Science, 281(5374), 143.
Lu, Q., Ullidtz, P., Basheer, I., Ghuzlan, K., and Signore, J. M. (2009). “CalBack: Enhancing Caltrans mechanistic-empirical pavement design process with new back-calculation software.” J. Transp. Eng., 479–488.
Mayer, D. G., and Butler, D. G. (1993). “Statistical validation.” Ecol. Modell., 68(1–2), 21–32.
NCHRP (National Cooperative Highway Research Program). (2011). A manual for design of hot mix asphalt with commentary, Vol. 673, Transportation Research Board, Washington, DC.
Rothon, R., ed. (2003). Particulate-filled polymer composites, iSmithers Rapra, Shawbury, U.K.
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.
Sampath, A. (2010). “Comprehensive evaluation of four warm asphalt mixture regarding viscosity, tensile strength, moisture sensitivity, dynamic modulus and flow number.” Ph.D. dissertation, Univ. of Iowa, Iowa City, IA.
Schwartz, C. W., Li, R., Kim, S., Ceylan, H., and Gopalakrishnan, K. (2011). “Sensitivity evaluation of MEPDG performance prediction.”, Transportation Research Board, Washington, DC.
Shen, S., Yu, H., Willoughby, K., DeVol, J., and Uhlmeyer, J. (2013). “Local practice of assessing dynamic modulus properties for Washington State mixtures.” Transp. Res. Rec., 2373, 89–99.
Shu, X., and Huang, B. (2008). “Dynamic modulus prediction of HMA mixtures based on the viscoelastic micromechanical model.” J. Mater. Civ. Eng., 530–538.
Sonmez, H., Tuncay, E., and Gokceoglu, C. (2004). “Models to predict the uniaxial compressive strength and the modulus of elasticity for Ankara Agglomerate.” Int. J. Rock Mech. Min. Sci., 41(5), 717–729.
Stowe, R. L. (1969). “Strength and deformation properties of granite, basalt, limestone and tuff at various loading rates.”, Army Engineer Waterways Experiment Station, Vicksburg, MS.
Witczak, M. W. (2007). Specification criteria for simple performance tests for rutting, Vol. 1, Transportation Research Board, Washington, DC.
Wu, M., Wen, H., Muhunthan, B., and Manahiloh, K. (2012). “Influence of recycled asphalt pavement content on air void distribution, permeability, and modulus of base layer.” Transp. Res. Rec., 2267, 65–71.
You, Z., Adhikari, S., and Kutay, M. E. (2009). “Dynamic modulus simulation of the asphalt concrete using the X-ray computed tomography images.” Mater. Struct., 42(5), 617–630.
Yu, H., and Shen, S. (2013). “A micromechanical based three-dimensional DEM approach to characterize the complex modulus of asphalt mixtures.” Constr. Build. Mater., 38, 1089–1096.
Zhou, F., and Scullion, T. (2003). “Preliminary field validation of simple performance tests for permanent deformation: Case study.” Transp. Res. Rec., 1832, 209–216.
Information & Authors
Information
Published In
Journal of Materials in Civil Engineering
Volume 29 • Issue 12 • December 2017
Copyright
©2017 American Society of Civil Engineers.
History
Received: Mar 4, 2017
Accepted: Jun 7, 2017
Published online: Oct 5, 2017
Published in print: Dec 1, 2017
Discussion open until: Mar 5, 2018
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.