Technical Papers
Apr 10, 2015

Simplified Analytical Approach to Predicting Asphalt Pavement Temperature

Publication: Journal of Materials in Civil Engineering
Volume 27, Issue 12

Abstract

The temperature profile within the asphalt layer of a flexible pavement plays an important role in the design of hot-mix asphalt and in the performance models of asphalt concrete materials such as low-temperature cracking and asphalt binder oxidation. In this paper, the time-dependent temperature profile within an asphalt concrete layer is modeled as the heat conduction problem in a one-layer pavement system, where the surface boundary condition is simply the pavement surface-temperature history during the time period of interest. An infinite series solution for asphalt layer temperature prediction was derived using measured pavement surface temperatures. The main mathematical tools employed in deriving the analytical solution are separation of variables and Duhamel’s principle. Mathematically, the infinite series are proven to converge uniformly over the finite physical domain at a fixed time t. Field validation based on measured in situ temperature data demonstrated that the proposed closed-form solution generated reasonable transient temperature profiles in the asphalt layer for a two-layer pavement system. The proposed algorithm is easy to be applied in assisting field engineers to rapidly estimate asphalt pavement temperature profiles based on measured pavement surface-temperature data.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This research was performed while the author held a National Research Council Research Associateship Award at the Turner-Fairbank Highway Research Center, Federal Highway Administration.

References

Asphalt Institute. (1996). “Superpave mix design.” Lexington, KY.
Barber, E. S. (1957). “Calculation of maximum pavement temperatures from weather reports.”, National Research Council, Washington, DC, 1–8.
Boyce, W. E., and DiPrima, R. C. (2001). Elementary differential equations and boundary value problems, 7th Ed., Wiley, New York.
Burden, R. L., and Faires, J. D. (2001). Numerical analysis, 7th Ed., Brooks/Cole, Belmont, CA.
Carslaw, H. S., and Jaeger, J. C. (1959). Conduction of heat in solids, Oxford University Press, New York.
Dempsey, B. J., and Thompson, M. R. (1970). “A heat transfer model for evaluating frost action and temperature related effects in multi-layered pavement systems.”, National Research Council, Washington, DC, 39–56.
Gui, J., Phelan, P. E., Kaloush, K. E., and Golden, J. S. (2007). “Impact of pavement thermophysical properties on surface temperature.” J. Mater. Civ. Eng., 683–690.
Han, R., Jin, X., and Glover, C. J. (2011). “Modeling pavement temperature for use in binder oxidation models and pavement performance prediction.” J. Mater. Civ. Eng., 351–359.
Hermansson, A. (2004). “Mathematical model for paved surface summer and winter temperature: Comparison of calculated and measured temperatures.” Cold Reg. Sci. Technol., 40(1–2), 1–17.
Huber, G. A. (1994). “Weather database for the SuperpaveTM Mix design system.” Strategic Highway Research Program Rep. SHRP-A-648A, Transportation Research Board, National Research Council, Washington, DC.
Kallas, F. (1966). “Asphalt pavement temperatures.” Highway Res. Rec., 150, 1–11.
Larson, G., and Dempsey, B. J. (1997). “Enhanced integrated climatic model, version 2.0.”, Minnesota Dept. of Transportation, Minneapolis.
Lea, J. D., and Harvey, J. (2012). “Simplified thermal modeling approach used in CalME.” Transportation Research Board 91st Annual Meeting Compendium of Papers, Transportation Research Board, National Research Council, Washington, DC.
Liu, C., and Yuan, D. (2000). “Temperature distribution in layered road structures.” J. Transp. Eng., 93–95.
MATLAB 7 [Computer software]. Natick, MA, MathWorks.
Mohseni, A. (1998). “LTPP seasonal asphalt concrete pavement temperature models.”, Federal Highway Administration, McLean, VA.
Ross, K. A. (1980). Elementary analysis, Springer, New York.
Shao, L., Park, S. W., and Kim, Y. R. (1997). “Simplified procedure for prediction of asphalt pavement subsurface temperatures based on heat transfer theories.” Transportation Research Record 1417, Transportation Research Board, Washington, DC, 1–11.
Solaimanian, M., and Kennedy, T. W. (1993). “Prediction maximum pavement surface temperature using maximum air temperature and hourly solar radiation.” Transportation Research Record 1417, Transportation Research Board, Washington, DC, 1–11.
Strauss, W. A. (1992). Partial differential equations: An introduction, Wiley, New York.
Wang, D. (2012). “Analytical approach to predict temperature profile in a multilayered pavement system based on measured surface temperature data.” J. Transp. Eng., 674–679.
Wang, D. (2013). “Prediction of asphalt pavement temperature profile during FWD testing: simplified analytical solution with model validation based on LTPP data.” J. Transp. Eng., 109–113.
Watson, D. E., Zhang, J., and Powell, R. B. (2004). “Analysis of temperature data for the national center for asphalt technology test track.” Transportation Research Record 1891, Transportation Research Board, Washington, DC, 68–75.
Yavuzturk, C., Ksaibati, K., and Chiasson, A. D. (2005). “Assessment of temperature fluctuations in asphalt pavements due to thermal environmental conditions using a two-dimensional, transient finite-difference approach.” J. Mater. Civ. Eng., 465–475.
Zauderer, E. (2006). Partial differential equations of applied mathematics, 3rd Ed., Wiley, New York.

Information & Authors

Information

Published In

Go to Journal of Materials in Civil Engineering
Journal of Materials in Civil Engineering
Volume 27Issue 12December 2015

History

Received: Nov 16, 2012
Accepted: Apr 1, 2013
Published online: Apr 10, 2015
Discussion open until: Sep 10, 2015
Published in print: Dec 1, 2015

Permissions

Request permissions for this article.

Authors

Affiliations

National Research Council Postdoctoral Research Associate, Turner-Fairbank Highway Research Center, Federal Highway Administration, FHWA/HRDI-30/F-209, 6300 Georgetown Pike, McLean, VA 22101. E-mail: [email protected]

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share