TECHNICAL NOTES
Jun 1, 2007

Practical Methodology of Determining the In Situ Dynamic (Complex) Moduli for Engineering Analysis

Publication: Journal of Materials in Civil Engineering
Volume 19, Issue 6

Abstract

The viscoelastic behavior of asphalt mixtures can be conveniently presented in the form of a stiffness master curve in various engineering applications. However, the methods to obtain the in-service mixture stiffness are limited to the falling weight deflectometer (FWD) testing and back-calculation procedure because the pavement layer thicknesses in many cases are too thin to allow laboratory testing. The test protocol to measure the axial dynamic modulus requires cylindrical specimens with a height-to-diameter ratio higher than 2, while the cores need to be at least 38mm thick for measuring shear stiffness. This technical note describes and compares the methods for constructing asphalt mixture master curves utilizing stiffness predictive equations for asphalt binders and mixtures, in addition to using laboratory measurements, as an alternative to FWD backcalculation analysis. This technical note also recommends constraining the low and high mixture stiffness values measured from simple shear testing to obtain stiffness comparable to the uniaxial dynamic modulus testing.

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Acknowledgments

This work was supported by the Joint Transportation Research Program of Indiana Department of Transportation (INDOT) and Purdue University. The contents of this technical note reflect the views of the writers, who are responsible for the facts and the accuracy of the data presented herein and do not necessarily reflect the official views or policies of the Federal Highway Administration and the Indiana Department of Transportation, nor do the contents constitute a standard, specification, or regulation. The work reported herein was conducted in conjunction with Joint Transportation Research Program Project No. SPR-2788, which was a study for evaluation of surface (top–down) longitudinal wheel path cracking in Indiana. The rheological analysis tools and encouragement and constructive feedback from Dr. Geoff Rowe and Mr. Mark Sharrock (Abatech, Inc.) are gratefully acknowledged. The support of the Study Advisory Committee Members of this project was also greatly appreciated, as well as INDOT for obtaining the materials and providing pavement information and the North Central Superpave Center for the material testing.

References

AASHTO. (2003a). “Standard method of test for determining the permanent shear strain and stiffness of asphalt mixtures using the Superpave shear tester (SST): Designation T320.” AASHTO provisional standards, Washington, D.C.
AASHTO. (2003b). “Standard method of test for determining dynamic modulus of hot-mix asphalt concrete mixtures: Designation TP62.” AASHTO provisional standards, Washington, D.C.
Andrei, D., Witczak, M., and Mirza, M. W. (1999). “Development of revised predictive model for the dynamic complex modulus of asphalt mixtures.” NCHRP 1-37A, Dept. of Civil Engineering, Univ. of Maryland, College Park, Md.
ASTM. (1977). “Viscosity—Temperature chart for asphalts.” Annual book of American Society of Testing and Materials Standards, West Conshohocken, Pa.
Bonaquist, R., Pellinen, T., and Witczak, M. W. (1998). “Development of relationship between binder viscosity and stiffness.” Internal Rep., Univ. of Maryland, College Park, Md.
Bonnaure, F., Gest, G., Gravois, A., and Uge, P. (1977). “A new method of predicting the stiffness of asphalt paving mixtures.” Asph. Paving Technol., 46, 64–100.
Christensen, D. W. (1998). “Analysis of creep data from indirect tension test on asphalt concrete.” Asph. Paving Technol., 67, 458–489.
Christensen, D. W., Jr., Pellinen, T., and Bonaquist, R. (2003). “Hirsch model for estimating modulus of asphalt concrete.” Asph. Paving Technol., 72, 97–121.
Harrigan, E. T., Leahy, R. B., and Youtcheff, J. S. (1994). “The Superpave mix design system manual of specifications, test methods, and practices.” SHRP-A-379 Rep., Strategic Highway Research Program, National Research Council, Washington, D.C.
Huang, Y. (1993). Pavement analysis and design, Prentice-Hall, Englewood Cliffs, N.J.
Mirza, M. W., and Witczak, M. W. (1996). “Development of a global aging system for short- and long-term aging of asphalt cements.” Asph. Paving Technol., 64, 393–430.
National Cooperative Research Program (NCHRP). (2002). “Project overview. Guide using mechanistic principles to improve pavement design.” NCHRP Project 1-37A, Washington, D.C.
Pellinen, T., Biswas, K., Rowe, G., and Sharrock, M. (2003). “Procedure for obtaining binder stiffness over a range of temperatures for mix stiffness predictive models.” Proc., 4th Int. Symp. on Binder Rheology and Pavement Performance, Phoenix.
Pellinen, T., Rowe, G., and Biswas, K. (2004a). “Evaluation of surface (top–down) longitudinal wheel path cracking in Indiana.” Joint Transportation Research Program Final Rep. JTRP-SPR 2788, Dept. of Civil Engineering, Purdue Univ., West Lafayette, Ind.
Pellinen, T. K., Witczak, M. W., and Bonaquist, R. F. (2004b). “Asphalt mix master curve construction using sigmoidal fitting function with nonlinear least-squares optimization technique.” Proc., 15th ASCE Engineering Mechanics Conf., Columbia Univ., New York.
Pellinen, T. K., Xiao, S., and Raval, S. (2006). “Dynamic modulus testing of thin pavement cores.” J. ASTM Int., 3(4), JAI12258.
Rowe, G. M., and Sharrock, M. J. (2000). “Development of standard techniques for calculation of master curves for linear-viscoelastic materials.” Proc., 1st Int. Symp. on Binder and Pavement Performance, Univ. of Calgary, Alberta, Canada.
Van Der Poel, C. J. (1954). “A general system describing viscoelastic properties of bitumens and its relation to routine test data.” J. Appl. Chem., 4, 221–236.

Information & Authors

Information

Published In

Go to Journal of Materials in Civil Engineering
Journal of Materials in Civil Engineering
Volume 19Issue 6June 2007
Pages: 508 - 514

History

Received: May 17, 2005
Accepted: Sep 18, 2006
Published online: Jun 1, 2007
Published in print: Jun 2007

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Notes

Note. Associate Editor: Eyad Masad

Authors

Affiliations

Kalapi G. Biswas
Ph.D. Student, School of Materials Engineering, Purdue Univ., 501 Northwestern Ave., West Lafayette, IN 47907. E-mail:[email protected]
Terhi K. Pellinen
Assistant Professor, School of Civil Engineering, Purdue Univ., 550 Stadium Mall Dr., West Lafayette, IN 47907. E-mail:[email protected]

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