Elastic Modulus Prediction of Asphalt Concrete
Publication: Journal of Materials in Civil Engineering
Volume 11, Issue 3
Abstract
The distresses of asphalt pavement, which include fatigue, rutting, and low temperature cracking, are related to the elastic modulus of asphalt concrete (AC). In addition, the elastic modulus of AC is a design variable for asphalt pavement structural design when elastic-layer system theory is employed. However, in the most commonly used AC design methods (the Marshall, Hveem, and Superpave methods), the elastic modulus is not used as a control variable. Therefore, these design methods do not ensure that the desired elastic modulus of AC will be obtained. In this paper, AC is treated as a two-phase composite with aggregates dispersed in the asphalt matrix. Based on this treatment, a two-layer built-in micromechanical model of AC is developed by embedding an asphalt-coated circular aggregate into an equivalent AC medium. Using this model, an equation predicting the elastic modulus of AC is derived. The elastic modulus of AC predicted by the present model is compared with the Hashin and Shtrikman theoretical bounds and the Heukelom and Klomp equation. Using these comparisons, the proposed model is shown to be reasonable and applicable for predicting the elastic modulus of AC. Thus, the existing mix design approaches can be improved by using the modulus prediction model presented in this paper.
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References
1.
Ahmed, S., and Jones, F. R. (1990). “A review of particulate reinforcement theories for polymer composites.” J. Mat. Sci., 25, 4933–4942.
2.
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.
3.
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.
4.
Heukelum, W. (1973). “An improved method of characterizing asphaltic bitumens with the aid of their mechanical properties.” Proc., Assn. of Asphalt Paving Technologists, Vol. 42, Cushing-Malloy, Inc., Ann Arbor, Mich., 67–98.
5.
Heukelum, W., and Klomp, A. J. G. (1964). “Road design and dynamic loading.” Proc., Assn. of Asphalt Paving Technologists, Vol. 33, Cushing-Malloy, Inc., Ann Arbor, Mich., 92–165.
6.
Huber, G. A., and Herman, G. H. (1987). “Effect of asphalt concrete parameters on rutting performance: A field investigation.” Proc., Assn. of Asphalt Paving Technologists, Vol. 56, Cushing-Malloy, Inc., Ann Arbor, Mich., 33–61.
7.
Kandhal, P. S. (1980). “Evaluation of low-temperature pavement cracking on ELK county research project.” Transp. Res. Rec. 777, Transportation Research Board, Washington, D.C., 39–46.
8.
Kerner, E. H. (1956). “The elastic and thermoelastic properties of composite media.” Proc., Physc. Soc., London, 69, 808–819.
9.
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.” Final Rep. SHRP-A-357, Strategic Highway Research Program, Washington, D.C., 565–567.
10.
Mamlouk, M. S., and Sarofim, R. T. (1988). “Modulus of asphalt mixtures—an unresolved dilemma.” Transp. Res. Rec. 1171, Transportation Research Board, Washington, D.C., 193–198.
11.
Molenaar, A. A. A. ( 1982). “Structural performance and design of flexible road constructions and asphalt concrete overlays,” PhD dissertation, RRRL, Facu. of Civ. Engrg., Delft University of Technology, Delft, The Netherlands.
12.
Paul, B. (1960). “Prediction of elastic constants of multiphase material.” Trans. ASME, 218, 36–48.
13.
Pell, P. S. (1967). “Fatigue of asphalt pavement mixes.” Proc., 2nd Int. Conf. on the Struct. Des. of Asphalt Pavements, University of Michigan, Ann Arbor, Mich., 557–593.
14.
Pell, P. S. (1978). Developments in highway pavement engineering—1, Applied Publishers Ltd., London.
15.
Ranganath, S. (1997). “A review of particulate-reinforced titanium matrix composite.” J. Mat. Sci., 32, 1–16.
16.
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.
17.
Shell pavement design manual—Asphalt pavements and overlays for road traffic. (1978). Shell International Petroleum Company Ltd., London.
18.
Timoshenko, P. S., and Goodier, J. N. (1970). Theory of elasticity, 3rd Ed., McGraw-Hill, New York.
19.
Vallerga, B. A., and Lovering, W. R. (1985). “Evaluation of the Hveem stabilometer method of designing asphalt paving mixtures.” Proc., Assn. of Asphalt Paving Technologists, Vol. 54, Cushing-Malloy, Inc., Ann Arbor, Mich., 243–264.
20.
Van der Poel. (1954). “A general system describing the viscoelastic properties of bitumens and its relation to routine test data.” J. Appl. Chem., 4, 221–236.
21.
White, T. D. (1985). “Marshall procedure for design and quality control of asphalt mixtures.” Proc., Assn. of Asphalt Paving Technologists, Vol. 54, Cushing-Malloy, Inc., Ann Arbor, Mich., 265–283.
22.
Zhou, F. P., Lydon, F. D., and Barr, B. I. G. (1995). “Effect of coarse aggregate on elastic modulus and compressive strength of high performance concrete.” Cement and Concrete Res., 20, 177–186.
Information & Authors
Information
Published In
Journal of Materials in Civil Engineering
Volume 11 • Issue 3 • August 1999
Pages: 236 - 241
History
Received: Mar 6, 1998
Published online: Aug 1, 1999
Published in print: Aug 1999
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