TECHNICAL PAPERS
Apr 1, 1990

One‐Dimensional Constitutive Modeling of Asphalt Concrete

Publication: Journal of Engineering Mechanics
Volume 116, Issue 4

Abstract

This paper presents a mechanistic approach to constitutive modeling of asphalt concrete under complicated repetitive loading conditions with rest periods. From an extensive literature review, two mechanisms are identified as important to understanding of inelastic stress‐strain behavior of asphalt concrete: vis‐coelastic relaxation and fatigue as a damage accumulation process. The nonlinear viscoelastic correspondence principle developed by Schapery is applied to separate the influences of these two mechanisms to the stress‐strain hysteresis behavior of asphalt concrete. The damage growth in asphalt concrete beam samples is modeled by a damage parameter that is based on a generalization of microcrack growth law. In the verification stage, a random sequence of multilevel loading with random durations of rest periods was applied. The resulting constitutive equation satisfactorily predicts the effect of the sequence of the load applications of varying magnitudes, as well as the beneficial effect of rest periods.

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References

1.
Fitzgerald, J. E., and Vakili, J. (1973). “Nonlinear characterization of sand‐asphalt concrete by means of permanent memory norms.” Exp. Mech., 13(12), 504–510.
2.
Francken, L. (1979). “Fatigue performance of a bituminous road mix under realistic test conditions.” Transp. Res. Rec., 712, 30–37.
3.
Kim, Y. R. (1988). “Evaluation of healing and constitutive modeling of asphalt concrete by means of the theory of nonlinear viscoelasticity and damage mechanics,” dissertation presented to Texas A&M University, at College Station, Tex., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
4.
Kim, Y. R., and Little, D. N. (1989). “Evaluation of healing in asphalt concrete by means of the theory of nonlinear viscoelasticity.” Transp. Res. Rec., Transp. Res. Board, Washington, D.C. (in press).
5.
McElvaney, J., and Pell, P. S. (1974). “Fatigue damage of asphalt under compoundloading.” Transp. Engrg. J., ASCE, 100(3), 701–718.
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Monismith, C. L., Alexander, R. L., and Secor, K. E. (1966). “Rheologic behavior of asphalt concrete.” Proc. Assoc. of Asphalt Paving Technologists, Association of Asphalt Paving, 35, 400–450.
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Raithby, K. D., and Sterling, A. B. (1970). “The effect of rest periods on the fatigue performance of a hot‐rolled asphalt under reversed axial loading.” Proc. Assoc. of Asphalt Paving Technologists, 39, 134–147.
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Schapery, R. A. (1981). “On viscoelastic deformation and failure behavior of composite materials with distributed flaws.” Advances in Aerospace Structures and Materials, Aerospace Structures and Materials, 01, S. S. Wang and W. J. Renton, eds., 5–20.
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Schapery, R. A. (1982). “Models for damage growth and fracture in nonlinear viscoelastic particulate composites.” Proc. 9th U.S. National Congress of Applied Mech., American Society of Mechanical Engineers, 237–245.
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Schapery, R. A. (1984). “Correspondence principles and a generalized J‐integral for large deformation and fracture analysis of viscoelastic media.” Int. J. Fract., 25, 195–223.
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Schapery, R. A. (1986a). “Time‐dependent fracture: Continuum aspects of crack growth.” Encyclopedia of materials science and engineering. M. B. Bever (ed.), Pergamon Press, Inc., Elmsford, N.Y., 5043–5053.
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Schapery, R. A. (1986b). “A micromechanical model for nonlinear viscoelastic behavior of particle‐reinforced rubber with distributed damage.” Engrg. Fracture Mech., 25(5/6), 845–867.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 116Issue 4April 1990
Pages: 751 - 772

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Published online: Apr 1, 1990
Published in print: Apr 1990

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Authors

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Y. Richard Kim
Asst. Prof., Dept. of Civ. Engrg., North Carolina State Univ., Raleigh, NC 27695‐7908
Dallas N. Little, Member, ASCE
Prof., Texas Transp. Inst., Texas A&M Univ., College Station, TX 77843

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