TECHNICAL PAPERS
Aug 1, 2005

Two-Step Approach to Prediction of Asphalt Concrete Modulus from Two-Phase Micromechanical Models

Publication: Journal of Materials in Civil Engineering
Volume 17, Issue 4

Abstract

A two-step approach is proposed to predict the modulus of asphalt concrete from existing micromechanical models. The asphalt concrete microstructure is represented by a two-phase model, which consists of a large spherical aggregate particle surrounded by a spherical shell of fine aggregate-filler-binder mixture as the matrix. The fine aggregate-filler-binder mixture is further represented by a two-phase model, which treats fine aggregate as a spherical inclusion and the mixture of filler and binder as the matrix. The modulus of asphalt concrete is predicted from the volumetric fractions, Poisson’s ratios, and moduli of the aggregate and filler-binder mixture by applying the appropriate two-phase models in two steps. An asphalt concrete and two mixtures that replicate the fine aggregate-filler-binder submixture and the filler-binder submixture in the asphalt concrete have been tested for modulus. The tests results show that the predicted results from the appropriate models reasonably approximate the measured results.

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References

ASTM. (1998). “Standard test method for indirect tension test for resilient modulus of bituminous mixtures—ASTM standard D4123-82.” Annual book of ASTM standards, Vol. 3, West Conshohocken, Pa.
Buttlar, W. G., Bozkurt, D., Al-Khateeb, G. G., and Waldhoff, A. S. (1999). “Understanding asphalt mastic behavior through micro mechanics.” Transportation Research Record. 1681, Washington, D.C., 157–169.
Buttlar, W. G., and Roque, R. (1996). “Evaluation of empirical and theoretical models to determine asphalt mixtures stiffnesses at low temperature.” J. of the Assn. of Asphalt Paving Technologists, 65, 99–141.
Christensen, R. M., and Lo, K. H. (1979). “Solutions for effective shear properties in three phase sphere and cylinder models.” J. Mech. Phys. Solids, 27, 315–330.
Christensen, R. M., and Lo, K. H. (1986). “Erratum: Solutions for effective shear properties in three phase sphere and cylinder models.” J. Mech. Phys. Solids, 34(6), 639.
Eshelby, J. D. (1957). “The determination of the elastic field of an ellipsoidal inclusion and related problems.” Proc. R. Soc. London, Ser. A, 241, 376–396.
Hansen, T. C. (1965). “Influence of aggregate and voids on modulus of elasticity of concrete, cement mortar, and cement paste.” J. Am. Concr. Inst., 62, 193–216.
Hansen, T. C. (1966). “Notes from a seminar on structure and properties of concrete.” Technical Rep. No. 71, Civil Engineering Dept., Stanford Univ., Stanford, Calif.
Hashin, Z. J. (1962). “The elastic moduli of heterogeneous materials.” J. Appl. Mech., 29(1), 143–150.
Hashin, Z., and Shtrikman, S. (1963). “A variational approach to the theory of the elastic behavior of multiphase materials.” J. Mech. Phys. Solids, 11, 127–140.
Heukelom, W., and Klomp, A. J. G. (1964). “Road design and dynamic loading.” Proc., Assn. of Asphalt Paving Technologists, Assn. of Asphalt Paving Technologists, St. Paul, Minn., 33, 92–165.
Hirsch, T. J. (1962). “Modulus of elasticity of concrete affected by elastic moduli of cement paste matrix and aggregate.” ACI J., 59(3), 427–452.
Hsu, T. C., and Slate, F. O. (1963). “Tensile bond between aggregate and cement paste.” ACI J., 60(4), 465–486.
Li, G., Li, Y., Metcalf, J. B., and Pang, S. S. (1999). “Elastic modulus prediction of asphalt concrete.” J. Mater. Civ. Eng., 11(3), 236–241.
Louisiana Dept. of Transportation and Development. (1992). Louisiana Department of Transportation and Development (LA DOTD) standard specifications for roads and bridges, Baton Rouge, La.
Lytton, R. (1990). “Materials property relationships for modeling the behavior of asphalt aggregate mixtures in pavements.” Internal Memorandum, Strategic Highway Research Program, Washington, D.C.
Lytton, R. L., Uzan, J., Fernando, E. G., Roque, R., Hiltunen, D., and Stoffels, S. M. (1993). “Development and validation of performance prediction models and specifications for asphalt binders and paving mixes.” Rep. SHRP-A-357, National Research Council, Washington, D.C.
Monismith, C. L. (1992). “Analytically based asphalt pavement design and rehabilitation: Theory to practice, 1962-1992.” Transportation Research Record. 1354, Transportation Research Board, Washington, D.C., 3–28.
National Stone Assn.  (1991). The aggregate handbook, Washington D.C.
Nicholls, R. (1976). Composite construction material handbook, Prentice Hall, Englewood Cliffs, N. J.
Paul, B. (1960). “Prediction of elastic constants of multiphase materials.” Trans. ASME, 218, 36–48.
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., NAPA Education Foundation, Lanham, Md.
Roque, R., Hiltunen, D. R., Buttlar, W. G., and Farwanna, T. (1994). “Development of the SHRP SUPERPAVE™ mixture specification test method to control thermal cracking performance of pavements.” Proc., Symp. on Engineering Properties of Asphalt Mixtures and Relation to Performance, ASTM, West Conshohocken, Pa.
Schapery, R. A. (1978). “Extension and replacement of asphalt cement with sulphur.” Rep. FHWA RD-78-95, Federal Highway Administration, Washington, D.C.
Shashidhar, N., and Romero, P. (1998). “Factors affecting the stiffening potential of mineral fillers.” Transportation Research Record. 1638, Transportation Research Board, Washington, D.C., 94–100.
Von Quintus, H., and Killingsworth, B. (1998). “Analysis relating to pavement material characterizations and their effects on pavement performance.” Rep. FHWA-RD-97-085, Federal Highway Administration, Washington, D.C.
Zhu, H., and Nodes, J. (2000). “Contact based analysis of asphalt pavement with the effect of aggregate angularity.” J. Mech. Mater., 32, 193–202.

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Information

Published In

Go to Journal of Materials in Civil Engineering
Journal of Materials in Civil Engineering
Volume 17Issue 4August 2005
Pages: 407 - 415

History

Received: Mar 6, 2003
Accepted: Oct 11, 2004
Published online: Aug 1, 2005
Published in print: Aug 2005

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Notes

Note. Associate Editor: Eyad Masad

Authors

Affiliations

Yongqi Li, M.ASCE [email protected]
P.E.
PhD, Pavement Performance Engineer, Arizona Dept. of Transportation, 1221 North 21st Ave., Phoenix, AZ 85009-3740; formerly, Research Assistant, Dept. of Civil Engineering, 1419 CEBA, Louisiana State Univ. E-mail: [email protected]
John B. Metcalf, M.ASCE [email protected]
PhD, Freeport-McMoRan Professor, Dept. of Civil Engineering, 1419 CEBA, Louisiana State Univ., Baton Rouge, LA 70803. E-mail: [email protected]

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