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During the past decades, many numerical models have been used to predict responses of asphalt mixes under different types of loading. Some of these models were simple due to practicality but overestimated the response of asphalt mixes. On the other hand, sophisticated but effective numerical models have been developed to address the shortcomings of the simpler models, and were used mostly in finite element analysis (FEA). However, these models were complicated and not user friendly. Recently, the approach of the discrete element method (DEM) was adopted. Unlike traditional FEA, DEM can simulate crack propagation by allowing the separation of elements in the simulated models. Understanding these challenges, this study was initiated to investigate the utilization of a simple visco-elasto-plastic model that had been used successfully in predicting deformation in asphalt mixes using the DEM embedded in Particle Flow Code in Two Dimensions (PFC2D) software simulations. Simulation results, when compared to flow time (FT) and number (FN) test results, showed that this model could simulate actual tests, thus predicting deformation of asphalt mixes using the DEM on a larger scale.



Asphalt mixes Numerical modeling Discrete element method Flow time test Flow number test Deformation.

Article Details

How to Cite
Abdo, A. (2014). Utilizing a Simple Numerical Model in Discrete Element Analysis to Simulate Flow Time and Number Tests of Asphalt Mixes. The Journal of Engineering Research [TJER], 11(2), 39–49.


  1. Abbas A, Masad E, Papagiannakis T, Harman T (2007), Micromechanical modeling of the viscoelastic behavior of asphalt mixtures using the discrete-element method. International Journal of Geomechanics 7:131–139.
  2. Abu Abdo A, Eckwright F, Jung SJ, Bayomy F, Nielsen R (2012), Evaluation of SCNB testing procedure for hot mixture asphalt. Proceedings of the Institution of Civil Engineers: Transport 167:48–58.
  3. Abu Abdo A (2012), Simplified numerical modeling for asphalt mixes. International Journal of Pavement Research and Technology (IJPRT). 5:40–45.
  4. Abraham CL, Maas SA, Weiss JA, Ellis BJ, Peters CL, Anderson AE (2013), A new discrete element analysis method for predicting hip joint contact stresses. Journal of Biomechanics 46:1121–1127.
  5. Buttlar WG, Paulino GH, Song SH (2003), Application of graded finite elements for asphalt pavement analysis. Computational Fluid and Solid Mechanics, Proceedings of Second MIT Conference on Computational Fluid and Solid Mechanics 157–161.
  6. Cai W, McDowell GR, Airey GD (2013), Discrete element modelling of uniaxial constant strain rate tests on asphalt mixtures. Granular Matter 15:163–174.
  7. Collop AC, McDowell GR, Lee YW (2006), Modelling dilation in an idealized asphalt mixture using discrete element modelling. Granular Matter 8:175–184.
  8. Cundall PA, Strack ODL (1979), Discrete numerical model for granular assemblies. Géotechnique 29(1):47-65.
  9. Goda TJ, Ebert F (2005), Three-dimensional discrete element simulations in hoppers and silos. Powder Technology 158:58–68.
  10. Itasca Consulting Group Inc. (2006), Particle flow code in 2 dimensions user's guide. Minneapolis, Minnesota: Itasca Consulting Group Inc.
  11. Jiang MJ, Xiao Y, Chen SL, Hu HJ, Wu XF (2010), Discrete element analysis of bearing mechanism of single pile in sand under vertical load. Yantu Lixue/Rock and Soil Mechanics 31:366–372.
  12. Krabbenhoft K, Lyamin AV, Huang J, Vicente da Silva M (2012), Granular contact dynamics using mathematical programming methods. Computers and Geotechnics 43:165–176.
  13. Lau M, Lawrence KP, Rothenburg L (2011), Discrete element analysis of ice loads on ships and structures. Ships and Offshore Structures 6:211–221.
  14. Liu Y, You Z, Zhao Y (2012), Threedimensional discrete element modeling of asphalt concrete: size effects of elements. Construction and Building Materials 37:775– 782.
  15. Mahmoud E, Masad E, Nazarian S (2010), Discrete element analysis of the influences of aggregate properties and internal structure on fracture in asphalt mixtures. Journal of Materials in Civil Engineering 22:10–20.
  16. Masad E, Tashman L, Little D, Zbib H (2005), Viscoplastic modeling of asphalt mixes with the effects of anisotropy, damage and aggregate characteristics. Mechanics of Materials 37:1242–1256.
  17. Mas ID (2006), Water inflow into excavations in fractured rock—A three-dimensional hydro-mechanical numerical study. International Journal of Rock Mechanics and Mining Sciences 43:705–725.
  18. Mellor M (1981), Fracture toughness measurement for ice. CRREL Technical Memorandum, Hanover, New Hampshire, USA, U.S. Army Corps of Engineers, Cold Regions Research and Engineering Laboratory.
  19. Nakamura H, Fujii H, Watano S (2013), Scaleup of high shear mixer-granulator based on discrete element analysis. Powder Technology 236:149-156.
  20. Schwarz J, Weeks WF (1977), Engineering properties of sea ice. Journal of Glaciology 19: 499–531.
  21. Shibata N, Tomita N, Ikeuchi K (2003), Numerical simulations on fatigue destruction of ultra-high molecular weight polyethylene using discrete element analyses. Journal of Biomedical Materials Research - Part A, 64(3):570–582.
  22. Tashman L, Masad E, Little D, Zbib H (2005), A microstructure-based viscoplastic model for asphalt concrete. International Journal of Plasticity 21:1659–1685.
  23. Yang J, Zhang X, Zhu HR (2012), Discrete element simulation on tri-axial shear test of asphalt mixtures. Journal of Building Materials 15:64–68.
  24. Ye Y, Yang X, Chen C (2009), Experimental researches on visco-elastoplastic constitutive model of asphalt mastic. Construction and Building Materials 23:3161–3165.
  25. Witczak MW, Kaloush K, Pellinen T, Al- Basyouny M, Von Quintus H (2002), Simple performance test for superpave mix design. NCHRP Report 465, TRB, Washington DC, USA.
  26. You Z (2003), Development of a micromechanical modeling approach to predict asphalt mixture stiffness using the discrete element method. PhD Dissertation, University of Illinois at Urbana-Champaign.
  27. You Z, Buttlar WG (2006), Micromechanical modeling approach to predict compressive dynamic moduli of asphalt mixtures using the distinct element method. Transportation Research Record 1970:73–83.
  28. Zelelew HM, Papagiannakis AT (2009), DEM simulation of asphalt concrete uniaxial creep. Sixth International Conference on Maintenance and Rehabilitation of Pavements and Technological Control (MAIREPAV6), Turin, Italy.