Viscoelastic Poisson’s Ratio of Asphalt Mixtures
Publication: International Journal of Geomechanics
Volume 13, Issue 2
Abstract
The Poisson’s ratio (PR) of asphalt mixtures is a fundamental material property that is an important input parameter to viscoelastic pavement models. It is typically assumed that PR of asphalt is time independent or, in cases where the time dependency of viscoelastic PR is considered, calculated as the negative ratio of the time-dependent transverse and axial strains measured in a uniaxial creep test. This paper presents analytical and experimental results demonstrating the errors involved in these assumptions. The first part of this study derives an expression for viscoelastic PR. The second part of this study reports the results of various experimental tests to measure axial and transverse strains of asphalt concrete specimens under different loading conditions. The viscoelastic PR increased with time in the tensile relaxation test and ramped tensile test, whereas it slightly increased at the beginning of the compressive relaxation test and was subsequently virtually constant. The error introduced by incorrectly determining the PR as the negative ratio of transverse to axial strains in the time domain was found to be significant.
Get full access to this article
View all available purchase options and get full access to this article.
References
AASHTO. (2002). “Preparing and determining the density of hot-mix asphalt (HMA) specimens by means of the Superpave gyratory compactor.” T312, Washington, DC.
Arambula, E. (2007). “Influence of fundamental material properties and air void structure on moisture damage of asphalt mixes.” Ph.D. dissertation, Texas A&M Univ., College Station, TX.
Baladi, G. Y., Harichandran, R. S., and Lyles, R. W. (1988). “New relationships between structural properties and asphalt mix parameters.” Transporation Research Record 1171, Transportation Research Board, Washington, DC, 168–177.
Barksdale, R. D., Alba, J., Khosla, P. N., Kim, R. Y., Lambe, P. C., and Rahman, M. S. (1996). “Laboratory determination of resilient modulus for flexible pavement design.” Final Rep., National Cooperative Highway Research Program Project 1-28, Transportation Research Board, National Research Council, Washington, DC.
Benedetto, H. D., Delaporte, B., and Sauzéat, C. (2007a). “Three-dimensional linear behavior of bituminous materials: Experiments and modeling.” Int. J. Geomech., 7(2), 149–157.
Benedetto, H. D., Mondher, N., and Olard, S. F. (2007b). “Three-dimensional thermo-viscoelastic behaviour of bituminous materials.” Road Mater. Pavement Design, 8(2), 285–315.
Buttlar, W. G., and Roque, R. (1994). “Experimental development and evaluation of the new SHRP measurement and analysis system for indirect tensile testing at low temperatures.” Transporation Research Record 1454, Transportation Research Board, Washington, DC, 163–171.
Chou, P. C., and Pagano, N. J. (1967). Elasticity: Tensor, dyadic, and engineering approaches, D. van Nostrand Co., Princeton, NJ.
Desai, C. S. (2007). “Unified DSC constitutive model for pavement materials with numerical implementation.” Int. J. Geomech., 7(2), 83–101.
Grasley, Z. C., and Lange, D. A. (2007). “The viscoelastic response of cement paste to three-dimensional loading.” Mech. Time-Depend. Mater., 11(1), 27–46.
Heinicke, J. J., and Vinson, T. S. (1988). “Effect of test condition parameters on IRMr.” J. Transp. Eng., 114(2), 153–172.
Hilton, H. H. (2001). “Implications and constraints of time-independent Poisson ratios in linear isotropic and anisotropic viscoelasticity.” J. Elast., 63(3), 221–251.
Hilton, H. H. (2003). “Comments regarding ‘Viscoelastic properties of an epoxy resin during cure’ by D. J. O’Brien, P. T. Mather and S. R. White.” J. Comp. Mater., 37, 89–94.
Hilton, H. H., and Yi, S. (1998). “The significance of (an)isotropic viscoelastic Poisson ratio stress and time dependencies.” Int. J. Solids Struct., 35(23), 3081–3095.
Huang, C., Masad, E., Muliana, A. H., and Bahia, H. (2007). “Nonlinearly viscoelastic analysis of asphalt mixes subjected to shear loading.” Mech. Time-Depend. Mater., 11(2), 91–110.
Kim, Y. R., Lee, H. J., and Little, D. N. (1997). “Fatigue characterization of asphalt concrete using viscoelasticity and continuum damage theory.” J. Assoc. Asphalt Paving Technol., 66, 520–569.
Kim, Y. R., Shah, K. A., and Khosla, N. P. (1992). “Influence of test parameters in SHRP P07 procedure on resilient moduli of asphalt concrete field cores.” Transporation Research Record 1353, Transportation Research Board, Washington, DC, 82–89.
Lakes, R. S., and Wineman, A. (2006). “On Poisson’s ratio in linearly viscoelastic solids.” J. Elast., 85(1), 45–63.
Lee, H. S., and Kim, J. (2009). “Determination of viscoelastic Poisson’s ratio and creep compliance from the indirect tension test.” J. Mater. Civ. Eng., 21(8), 416–425.
Lekarp, F., and Dawson, A. (2000). “State of the art. I: Resilient response of unbound aggregates.” J. Transp. Eng., 126(1), 66–75.
Maher, A., and Bennert, T. (2008). “Evaluation of Poisson’s ratio for use in the Mechanistic Empirical Pavement Design Guide (MEPDG).” Technical Rep. FHWA-NJ-2008-004, New Jersey Department of Transportation, Trenton, NJ.
Masad, E., Dessouky, S., and Little, D. (2007). “Development of an elasto-visco-plastic microstructural-based continuum model to predict permanent deformation in hot mix asphalt.” Int. J. Geomech., 7(2), 119–130.
Poisson, S. D. (1829a). “Addition au memoire sur l’equilibre et le mouvement des corps elastiques.” Mem. Acad. Sci. Inst. France, 8, 623–627.
Poisson, S. D. (1829b). “Memoire sur l’equilibre et le mouvement des corps elastiques.” Mem. Acad. Sci. Inst. France, 8, 357–570.
Read, W. T. (1950). “Stress analysis for compressible viscoelastic materials.” J. Appl. Phys., 21(7), 671–674.
Texas Department of Transportation (TxDOT). (2010a). “Compacting specimens using the Texas gyratory compactor (TGC).” Tex-206-F, Austin, TX.
Texas Department of Transportation (TxDOT). (2010b). “Laboratory method of mixing bituminous mixtures.” Tex-205-F, Austin, TX.
Tschoegl, N. W., Knauss, W. G., and Emri, I. (2002). “Poisson’s ratio in linear viscoelasticity—A critical review.” Mech. Time-Depend. Mater., 6(1), 3–51.
Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 13 • Issue 2 • April 2013
Pages: 162 - 169
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Jul 13, 2010
Accepted: Dec 14, 2011
Published online: Dec 17, 2011
Published in print: Apr 1, 2013
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.