Micromechanical Modeling of the Viscoelastic Behavior of Asphalt Mixtures Using the Discrete-Element Method
Publication: International Journal of Geomechanics
Volume 7, Issue 2
Abstract
This paper presents a methodology for analyzing the viscoelastic response of asphalt mixtures using the discrete-element method (DEM). Two unmodified (neat) and seven modified binders were mixed with the same aggregate blend in order to prepare the nine hot mix asphalt (HMA) mixtures used in this study. The HMA microstructure was captured using images of vertically cut sections of specimens. The captured grayscale images were processed into black and white images representing the mastic and the aggregate phases, respectively. These microstructure images were used to represent the DEM model geometry. Rheological data for the nine binders were obtained using the dynamic shear rheometer. These data were used to estimate the parameters of the viscoelastic contact models that define the interaction among the mix constituents. The DEM models were subjected to sinusoidal loads similar to those applied in the simple performance test (SPT). The DEM model predictions compared favorably with the SPT measurements. However, the simulation results tended to overpredict the dynamic modulus, , for mixtures made with neat binders and underpredict for those that consisted of modified binders. The DEM models gave mix phase angles, , higher than the experimental measurements.
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Acknowledgments
The first writer would like to acknowledge the financial assistance of the National Highway Institute (NHI) and the Federal Highway Administration (FHwA) throughout his Eisenhower Graduate Research Fellowship. The writers would like to thank Dr. Aroon Shenoy from the Pavement Materials and Construction Team at Turner-Fairbank Highway Research Center (TFHRC) and Mr. Kevin Stuart (formerly with the FHwA) for their valuable comments throughout this study.
References
Abbas, A., Masad, E., Papagiannakis, T., and Shenoy, A. (2005). “Modelling asphalt mastic stiffness using discrete-element analysis and micromechanics-based models.” Int. J. Pavement Eng., 16(2), 137–146.
Abbas, A., Papagiannakis, A. T., and Masad, E. (2004). “Linear and nonlinear viscoelastic analysis of the microstructure of asphalt concretes.” J. Mater. Civ. Eng., 16(2), 133–139.
Abbas, A. R. (2004). “Simulation of the micromechanical behavior of asphalt mixtures using the discrete-element method.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Washington State Univ., Pullman, Wash.
Baumgaertel, M., and Winter, H. H. (1989). “Determination of discrete relaxation and retardation time spectra from dynamic mechanical data.” Rheol. Acta, 28(6), 511–519.
Buttlar, W. G., Wagoner, M. P., You, Z., and Brovold, S. T. (2004). “Simplifying the hollow cylinder tensile test procedure through volume-based strain.” Asphalt Paving Technol., 73, 367–399.
Buttlar, W. G., and You, Z. (2001). “Discrete element modeling of asphalt concrete: Microfabric approach.” Transportation Research Record. 1757, Transportation Research Board, National Research Council, Washington, D.C., 111–118.
Chang, K. G., and Meegoda, J. N. (1997). “Micromechanical simulation of hot mix asphalt.” J. Eng. Mech., 123(5), 495–503.
Cundall, P. A. (1971). “A computer model for simulating progressive, large-scale movements in blocky rock systems.” Proc., Symp. of the Int. Society Rock Mechanics, Vol. 2, No. 8.
Cundall, P. A. (1978). “BALL—A program to model granular media using the distinct element method.” Technical Note, Advanced Technology Group, Dames & Moore, London.
Cundall, P. A. (1988). “Formulation of a three-dimensional distinct element model—Part I. A scheme to detect and represent contacts in a system composed of many polyhedral blocks.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 25(3), 107–116.
Cundall, P. A., and Hart, R. D. (1992). “Numerical modelling of discontinua.” Eng. Comput., 9(2), 101–113.
Cundall, P. A., and Strack, O. D. L. (1979). “Discrete numerical model for granular assemblies.” Geotechnique, 29(1), 47–65.
Hart, R., Cundall, P. A., and Lemos, J. (1988). “Formulation of a three-dimensional distinct element model—Part II. Mechanical calculations for motion and interaction of a system composed of many polyhedral blocks.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 25(3), 117–125.
Itasca Consulting Group. (2003). PFC2D: Particle flow code in 2-dimensions, Version 3-163.
Kose, S., Guler, M., Bahia, H. U., and Masad, E. (2000). “Distribution of strains within hot-mix asphalt binders.” Transportation Research Record. 1728, Transportation Research Board, National Research Council, Washington, D.C., 21–27.
Masad, E., Tashman, L., Little, D., and Zbib, H. (2005). “Viscoplastic modeling of asphalt mixes with the effects of anisotropy, damage and aggregate characteristics.” Mech. Mater., 37(12), 1242–1256.
Masad, E., Tashman, L., Somedavan, N., and Little, D. (2002). “Micromechanics-based analysis of stiffness anisotropy in asphalt mixtures.” J. Mater. Civ. Eng., 14(5), 374–383.
Mokeyev, V. V. (2001). “A generalized complex eigenvector method for dynamic analysis of heterogeneous viscoelastic structures.” Int. J. Numer. Methods Eng., 50(9), 2271–2282.
Papagiannakis, A. T., Abbas, A., and Masad, E. (2002). “Micromechanical analysis of viscoelastic properties of asphalt concretes.” Transportation Research Record. 1789, Transportation Research Board, National Research Council, Washington, D.C., 113–120.
Rothenburg, L., Bogobowicz, A., Haas, R., Jung, F. W., and Kennepohl, G. (1992). “Micromechanical modelling of asphalt concrete in connection with pavement rutting problems.” Proc., 7th Int. Conf. on Asphalt Pavements, Nottingham, U.K., 230–245.
Sousa, J. B., Weissman, S., Sackman, J., and Monismith, C. L. (1993). “A nonlinear elastic viscous with damage model to predict permanent deformation of asphalt concrete mixtures.” Transportation Research Record. 1384, Transportation Research Board, National Research Council, Washington, D.C., 80–93.
Ullidtz, P. (2001). “Distinct element method for study of failure in cohesive particulate media.” Transportation Research Record. 1757, Transportation Research Board, National Research Council, Washington, D.C., 127–133.
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© 2007 ASCE.
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Received: Jun 6, 2006
Accepted: Jun 9, 2006
Published online: Mar 1, 2007
Published in print: Mar 2007
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