Accelerated Discrete-Element Modeling of Asphalt-Based Materials with the Frequency-Temperature Superposition Principle
Publication: Journal of Engineering Mechanics
Volume 137, Issue 5
Abstract
This paper presents a methodology to reduce the computation time for discrete-element (DE) modeling of asphalt-based materials, based on the frequency-temperature superposition principle. Laboratory tests on the dynamic modulus of asphalt sand mastics and asphalt mixtures were conducted at temperatures of , 4, 13, and 21°C and frequencies of 1, 5, 10, and 25 Hz, respectively. The test results of the asphalt sand mastics were fitted with the Burger’s model to obtain the microparameters for DE models. To reduce the computation time of the DE modeling, the regular loading frequencies were amplified to virtual frequencies. Simultaneously, the Burger’s model parameters (microparameters in DE models) of asphalt sand mastic at regular frequencies were modified to those at virtual frequencies on the basis of the frequency-temperature superposition principle. Because the virtual frequencies were much larger than the regular frequencies, the computation time was significantly reduced by conducting the DE modeling with the virtual frequencies and the corresponding modified Burger’s model parameters. The modeling work, which typically takes several months or years with the traditional methods, only took a few hours or less in this study.
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Acknowledgments
This material is based in part upon work supported by the National Science Foundation under grant NSF0701264. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the writer’s and do not necessarily reflect the views of the National Science FoundationNSF.
References
Abbas, A., Masad, E., Paapagiannakis, T., and Harman, T. (2007). “Micromechanical modeling of the viscoelastic behavior of asphalt mixtures using the discrete-element method.” Int. J. Geomech., 7(2), 131–139.
Abbas, A. R., Papagiannakis, A. T., and Masad, E. A. (2006). “Micromechanical simulation of asphaltic materials using the discrete element method.” Proc., Asphalt Concrete: Simulation, Modeling, and Experimental Characterization (GSP 146), ASCE, Reston, VA, 1–11.
Buttlar, W. G., and You, Z. (2001). “Discrete element modeling of asphalt concrete: A micro-fabric approach.” Transportation Research Record 1757, Transportation Research Board, Washington, DC, 1111–1118.
Collop, A. C., McDowell, G. R., and Lee, Y. W. (2006). “Modeling dilation in an idealised asphalt mixture using discrete element modeling.” Granular Matter, 8(3–4), 175–184.
Collop, A. C., McDowell, G. R., and Lee, Y. (2007). “On the use of discrete element modeling to simulate the viscoelastic deformation behaviour of an idealized asphalt mixture.” Geomech. Geoeng., 2(2), 77–86.
Dai, Q. L., and You, Z. (2007). “Prediction of creep stiffness of asphalt mixture with micromechanical finite element and discrete element models.” J. Eng. Mech., 133(2), 163–173.
Daniel, J. S., and Lachance, A. (2005). “Mechanistic and volumetric properties of asphalt mixtures with recycled asphalt pavement.” Transportation Research Record 1929, Transportation Research Board, Washington, DC, 28–36.
Gahvari, F. (1997). “Effects of thermoplastic block copolymers on rheology of asphalt.” J. Mater. Civ. Eng., 9(3), 111–116.
Gurjar, A., Tang, T., Zollinger, D., and Slavick, K. (1996). Age, deformation, and temperature effects of viscoelastic materials under large deformations, ASCE, New York, 1398–1407.
Kim, H., and Buttlar, W. G. (2005). “Micro mechanical fracture modeling of asphalt mixture using the discrete element method.” Proc., GSP 130: Advances in Pavement Engineering, E. T. Charles, W. Schwartz, and Laith Tashman, eds. ASCE, Reston, VA, 209–223.
Kim, Y. R., Lee, S. J., Seo, Y., and El-Haggan, O. (2006). “A mechanistic approach to determine price reduction factors for density-deficient asphalt pavements.” Proc., Airfield and Highway Pavement: Meeting Today’s Challenges with Emerging Technologies, ASCE, Reston, VA, 1018–1029.
Kim, Y. R., Seo, Y., King, M., and Momen, M. (2004). “Dynamic modulus testing of asphalt concrete in indirect tension mode.” Transportation Research Record 1891, Transportation Research Board, Washington, DC, 163–173.
Liu, Y., Dai, Q., and You, Z. (2009). “Viscoelastic model for discrete element simulation of asphalt mixtures.” J. Eng. Mech., 135(4), 324–333.
Liu, Y., and You, Z. (2008). “Simulation of cyclic loading tests for asphalt mixtures using user defined models within discrete element method.” Proc., GeoCongress 2008: Characterization, Monitoring, and Modeling of GeoSystems (GSP 179), ASCE, Reston, VA, 742–749.
Liu, Y., and You, Z. P. (2009). “Visualization and simulation of asphalt concrete with randomly generated three-dimensional models.” J. Comput. Civ. Eng., 23(6), 340–347.
Liu, Y., You, Z., and Adhikari, S. (2008). “Speed up discrete element simulation of asphalt mixtures with user-written C++ codes.” Airfield and Highway Pavements: Efficient Pavements Supporting Transportation’s Future, Proc. of the 2008 Airfield and Highway Pavements Conf., ASCE, Reston, VA, 64–72.
Malkin, A. Y., and Isayew, A. I. (2006). Rheology: Concepts, methods, and application, Chem Tec Publishing, Toronto, 59–60.
Nemat-Nasser, S., and Okada, N. (1995). “Direct observation of deformation of granular materials through X-ray photographs” Engineering Mechanics: Proc. of the 10th Conf., ASCE, New York, 605–608.
Pellinen, T. K., Witczak, M. W., and Bonaquist, R. F. (2004). “Asphalt mix master curve construction using sigmoidal fitting function with non-linear least squares optimization.” Recent Advances in Materials Characterization and Modeling of Pavement Systems, Recent Advances in Materials Characterization and Modeling of Pavement Systems, Proc. of Sessions of the 15th Engineering Mechanics Div. Conf. (EM2002), ASCE, Reston, VA, 83–101.
PFC 2D version 4.0 [Computer software]. Itasca Consulting Group, Minneapolis.
PFC 3D version 4.0 [Computer software]. Itasca Consulting Group, Minneapolis.
Witczak, M. W., Kaloush, K., Prellinen, T., EI-Basyouny, M., and Von Quintus, H. (2002). “Simple performance test for superpave mix design.” NCHRP Report 465, Transportation Research Board, Washington, DC.
You, Z., Adhikari, S., and Dai, Q. (2008a). “Three-dimensional discrete element models for asphalt mixtures.” J. Eng. Mech., 134(12), 1053–1063.
You, Z., Adhikari, S., and Emin Kutay, M. (2009). “Dynamic modulus simulation of the asphalt concrete using the X-ray computed tomography images.” Mater. Struct., 42(5), 617–630.
You, Z., and Buttlar, W. G. (2004). “Discrete element modeling to predict the modulus of asphalt concrete mixtures.” J. Mater. Civ. Eng., 16(2), 140–146.
You, Z., and Buttlar, W. G. (2006). “Micromechanical modeling approach to predict compressive dynamic moduli of asphalt mixture using the distinct element method.” Transportation Research Record 1970, Transportation Research Board, Washington, DC, 73–83.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 137 • Issue 5 • May 2011
Pages: 355 - 365
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Nov 24, 2008
Accepted: Nov 3, 2010
Published online: Nov 5, 2010
Published in print: May 1, 2011
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