Self-Consistent Micromechanics Models of an Asphalt Mixture
Publication: Journal of Materials in Civil Engineering
Volume 23, Issue 1
Abstract
An asphalt mixture is a composite material consisting of three components: asphalt binder, aggregate, and air. The mechanical properties of asphalt mixtures are mostly evaluated from empirical approaches that are usually limited to measurement conditions. This paper takes a mechanistic approach by using micromechanics theory for composite materials to develop self-consistent micromechanics models for an asphalt mixture. The mixture analysis method described in this paper is applied to measured properties of an asphalt concrete mixture that is commonly used in Texas. These models are programmed in MATLAB using the system identification method and are applied to the analysis of the frequency-dependent magnitudes of the viscoelastic properties of an asphalt mixture at different aging periods. The inverse micromechanics model takes as input the volumetric composition of the mixture and the measured frequency-dependent bulk and shear properties of the asphalt mixture and the binder and extracts from them the bulk and shear properties of the aggregate. The forward micromechanics model takes as input the frequency-dependent bulk and shear properties of the aggregate and binder and produces the frequency-dependent properties of the asphalt mixture. It has been demonstrated that the inverse and forward micromechanics models are in fact the inverse of each other and that the inferred aggregate properties are realistic. These models provide a technique to catalog the properties of aggregates and use them in a computerized determination of the combinations of binders, aggregates, and air to produce the desired properties of asphalt mixtures.
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References
Al-Azri, N. A., et al. (2006). “Binder oxidative aging in Texas pavements: Hardening rates, hardening susceptibilities, and impact of pavement depth.” Transportation Research Record. 1962, Transportation Research Board of the National Academies, Washington, D.C., 12–20.
Budiansky, B. (1965). “On the elastic moduli of some heterogeneous materials.” J. Mech. Phys. Solids, 13, 223–227.
Christensen, R. M. (2005). Mechanics of composite materials, Dover, New York.
Di Benedetto, H., Delaporte, B., and Sauzeat, C. (2007). “Three-dimensional linear behavior of bituminous materials: Experiments and modeling.” Int. J. Geomech., 7(2), 149–157.
Hashin, Z. (1960). The elastic moduli of heterogeneous materials, Div. of Engineering and Applied Physics, Harvard Univ., Cambridge, Mass.
Hashin, Z. (1970a). “Mechanics of composite materials.” Proc., 5th Symposium on Naval Structural Mechanics, Pergamon, Oxford, U.K., 201–242.
Hashin, Z. (1970b). “Complex moduli of viscoelastic composites: I. General theory and application to particulate composites.” Int. J. Solids Struct., 6, 539–552.
Hashin, Z., and Shtrikman, S. (1962). “On some variational principles in anisotropic and nonhomogeneous elasticity.” J. Mech. Phys. Solids, 10(4), 335–342.
Hashin, Z., and Shtrikman, S. (1963). “A variational approach to the theory of the elastic behaviour of multiphase materials.” J. Mech. Phys. Solids, 11(2), 127–140.
Hill, R. (1965). “A self-consistent mechanics of composite materials.” J. Mech. Phys. Solids, 13, 213–222.
Jung, S. H. (2006). “The effects of asphalt binder oxidation on hot mix asphalt concrete mixture rheology and fatigue performance.” Ph.D. dissertation, Texas A&M Univ., College Station, Tex.
Lacroix, A., Khandan, A. A. M., and Kim, Y. R. (2007). “Predicting the resilient modulus of asphalt concrete from the dynamic modulus.” Proc., 86th Transportation Research Board Annual Meeting, (CD-ROM), Transportation Research Board of the National Academies, Washington, D.C.
Lytton, R. L. (1989). “Backcalculation of pavement layer properties.” Nondestructive testing of pavements and backcalculation of moduli, ASTM STP 1026, A. J. Bush III and G. Y. Baladi, eds., ASTM, Philadelphia, 7–38.
Natke, H. G. (1982). Identification of vibrating structures, Springer, New York.
Salehi, R., Little, D. N., and Masad, E. (2008). “Material factors that influence anisotropic behavior of aggregate bases.” Proc., 88th Transportation Research Board Annual Meeting, (CD-ROM), Transportation Research Board of the National Academies, Washington, D.C.
Schapery, R. A. (1962). “Approximate methods of transform inversion for viscoelastic stress analysis.” Proc., 4th U.S. National Congress of Applied Mechanics, Vol. 2, ASME, New York, 1075–1085.
Schapery, R. A. (1965). “A method of viscoelastic stress analysis using elastic solutions.” J. Franklin Inst., 279(4), 268–289.
Texas DOT. (2003). “TxDOT test specification manuals.” ⟨http://manuals.dot.state.tx.us⟩ (September 2003).
Walubita, L. F., et al. (2005) “Preliminary fatigue analysis of a common TxDOT hot mix asphalt concrete mixture.” Texas Dept. of Transportation Rep. No. FHWA/TX-05/0-4468-1, Texas Transportation Institute, College Station, Tex.
Wang, F., and Lytton, R. L. (1993). “System identification method for backcalculating pavement layer properties.” Transportation Research Record. 1384, Transportation Research Board of the National Academies, Washington, D.C., 1–7.
Yin, H. M., Buttlar, W. G., Paulino, G. H., and Di Benedetto, H. (2006). “Micromechanics-based model for asphalt mastics considering viscoelastic effects.” Proc., 10th Int. Conf. on Asphalt Pavements, International Society for Asphalt Pavements, Lino Lakes, Minn.
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Information
Published In
Journal of Materials in Civil Engineering
Volume 23 • Issue 1 • January 2011
Pages: 49 - 55
Copyright
© 2011 ASCE.
History
Received: Apr 22, 2009
Accepted: Jan 28, 2010
Published online: Feb 5, 2010
Published in print: Jan 2011
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