Abstract

This paper presents a discrete element model for simulations of the compaction process of hot mixed asphalt (HMA). The model is anchored by the concept of a fine aggregate matrix (FAM), which consists of the binder and fine aggregates. In the simulation, the coarse aggregates are explicitly modeled as composite particles. Meanwhile, the FAM is considered as the thick coating of the coarse aggregates with complex constitutive laws. Interparticle interactions include influences of (1) particle properties via Hertz–Mindlin relations; and (2) FAM properties via lubrication relationships. The lubrication relationships include a variable for viscosity for which we derive normal and tangential rate-dependent forms using rheology theory of dense granular-fluid systems, verified reasonable for our systems with the discrete element simulations and experiments with FAM. We assimilate these elements into gyratory compaction simulations of HMA of different aggregate size distributions. We compare these with experiments and find that this model is capable of capturing the measured effects of grain size distribution on the overall compaction behavior of HMA. We conclude by highlighting the advantages of this discrete element model for HMA compaction problems.

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Data Availability Statement

All data and models that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

The authors acknowledge the financial support from the Minnesota Department of Transportation through grant WO20 to the University of Minnesota (UMN) and from the Center of Transportation Studies at UMN and the computing resources provided by Saint Anthony Fall Laboratory at UMN. Hill gratefully acknowledges support for studying the rheology of particle-fluid mixtures from the National Science Foundation (NSF GLD-1451957). T. Man also gratefully acknowledges the Sommerfeld Fellowship provided by the Department of Civil, Environmental, and Geo-Engineering at UMN.

References

ASTM. 2011. Standard test method for theoretical maximum specific gravity and density of bituminous paving mixtures. ASTM D2041M-11. West Conshohocken, PA: ASTM.
ASTM. 2015. Standard test method for preparation and determination of the relative density of asphalt mix specimens by means of the Superpave gyratory compactor. ASTM D6925-15. West Conshohocken, PA: ASTM.
ASTM. 2019. Standard test method for bulk specific gravity and density of non-absorptive compacted asphalt mixtures. ASTM D2726-19. West Conshohocken, PA: ASTM.
Bagnold, R. A. 1954. “Experiments on a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear.” Proc. R. Soc. London 225 (1160): 49–63. https://doi.org/10.1098/rspa.1954.0186.
Boyer, F., É. Guazzelli, and O. Pouliquen. 2011. “Unifying suspension and granular rheology.” Phys. Rev. Lett. 107 (18): 188301. https://doi.org/10.1103/PhysRevLett.107.188301.
Caro, S., E. Masad, A. Bhasin, and D. Little. 2010. “Micromechanical modeling of the influence of material properties on moisture-induced damage in asphalt mixtures.” Constr. Build. Mater. 24 (7): 1184–1192. https://doi.org/10.1016/j.conbuildmat.2009.12.022.
Cassar, C., M. Nicolas, and O. Pouliquen. 2005. “Submarine granular flows down inclined planes.” Phys. Fluids 17 (10): 103301. https://doi.org/10.1063/1.2069864.
Chen, J., B. Huang, and X. Shu. 2012. “Air-void distribution analysis of asphalt mixture using discrete element method.” J. Mater. Civ. Eng. 25 (10): 1375–1385. https://doi.org/10.1061/(ASCE)MT.1943-5533.0000661.
Chen, J., B. Huang, X. Shu, and C. Hu. 2014. “Dem simulation of laboratory compaction of asphalt mixtures using an open source code.” J. Mater. Civ. Eng. 27 (3): 04014130. https://doi.org/10.1061/(ASCE)MT.1943-5533.0001069.
Foerster, S. F., M. Y. Louge, H. Chang, and K. Allia. 1994. “Measurements of the collision properties of small spheres.” Phys. Fluids 6 (3): 1108–1115. https://doi.org/10.1063/1.868282.
Forterre, Y., and O. Pouliquen. 2008. “Flows of dense granular media.” Annu. Rev. Fluid Mech. 40 (1): 1–24. https://doi.org/10.1146/annurev.fluid.40.111406.102142.
Goldman, A. J., R. G. Cox, and H. Brenner. 1967. “Slow viscous motion of a sphere parallel to a plane wall–i motion through a quiescent fluid.” Chem. Eng. Sci. 22 (4): 637–651. https://doi.org/10.1016/0009-2509(67)80047-2.
Graziani, A., S. Raschia, C. Mignini, A. Carter, and D. Perraton. 2020. “Use of fine aggregate matrix to analyze the rheological behavior of cold recycled materials.” Mater. Struct. 53 (4): 1–16. https://doi.org/10.1617/s11527-020-01515-7.
Guler, M., P. J. Bosscher, and M. E. Plesha. 2004. “A porous elasto-plastic compaction model for asphalt mixtures with parameter estimation algorithm.” In Recent advances in materials characterization and modeling of pavement systems, 126–143. Reston, VA: ASCE.
Hartley, R., and R. Behringer. 2003. “Logarithmic rate dependence of force networks in sheared granular materials.” Nature 421 (6926): 928. https://doi.org/10.1038/nature01394.
Hill, K. M., and D. S. Tan. 2014. “Segregation in dense sheared flows: Gravity, temperature gradients, and stress partitioning.” J. Fluid Mech. 756 (Oct): 54–88. https://doi.org/10.1017/jfm.2014.271.
Jop, P., Y. Forterre, and O. Pouliquen. 2006. “A constitutive law for dense granular flows.” Nature 441 (7094): 727. https://doi.org/10.1038/nature04801.
Knight, J. B., C. G. Fandrich, C. N. Lau, H. M. Jaeger, and S. R. Nagel. 1995. “Density relaxation in a vibrated granular material.” Phys. Rev. E 51 (5): 3957. https://doi.org/10.1103/PhysRevE.51.3957.
Koneru, S., E. Masad, and K. Rajagopal. 2008. “A thermomechanical framework for modeling the compaction of asphalt mixes.” Mech. Mater. 40 (10): 846–864. https://doi.org/10.1016/j.mechmat.2008.03.008.
Le, J.-L., R. Hendrickson, M. O. Marasteanu, and M. Turos. 2018. “Use of fine aggregate matrix for computational modeling of low temperature fracture of asphalt concrete.” Mater. Struct. 51 (6): 152. https://doi.org/10.1617/s11527-018-1277-x.
Le, J.-L., M. O. Marasteanu, and M. Turos. 2020. “Mechanical and compaction properties of graphite nanoplatelet-modified asphalt binders and mixtures.” Road Mater. Pavement Des. 21 (7): 1799–1814. https://doi.org/10.1080/14680629.2019.1567376.
Lee, E., and J. R. M. Radok. 1960. “The contact problem for viscoelastic bodies.” J. Appl. Mech. 27 (3): 438–444. https://doi.org/10.1115/1.3644020.
Liu, P., R. Yang, and A. Yu. 2013. “Dem study of the transverse mixing of wet particles in rotating drums.” Chem. Eng. Sci. 86 (Feb): 99–107. https://doi.org/10.1016/j.ces.2012.06.015.
Luding, S., M. Nicolas, and O. Pouliquen. 2000. “A minimal model for slow dynamics: Compaction of granular media under vibration or shear.” In Compaction of soils, granulates and powders, 241–249. Rotterdam, Netherlands: A.A. Balkema.
Man, T. 2019. “Rheology of granular-fluid systems and its application in the compaction of asphalt mixtures.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Minnesota. https://hdl.handle.net/11299/202919.
Marshall, J. S., and S. Li. 2014. Adhesive particle flow. Cambridge, UK: Cambridge University Press.
Masad, E., A. Scarpas, A. Alipour, K. R. Rajagopal, and C. Kasbergen. 2016a. “Finite element modelling of field compaction of hot mix asphalt. Part I: Theory.” Int. J. Pavement Eng. 17 (1): 13–23. https://doi.org/10.1080/10298436.2013.863309.
Masad, E., A. Scarpas, K. R. Rajagopal, E. Kassem, S. Koneru, and C. Kasbergen. 2016b. “Finite element modelling of field compaction of hot mix asphalt. Part II: Applications.” Int. J. Pavement Eng. 17 (1): 24–38. https://doi.org/10.1080/10298436.2013.863310.
Mehta, A., G. Barker, and J. Luck. 2004. “Cooperativity in sandpiles: Statistics of bridge geometries.” J. Stat. Mech: Theory Exp. 2004 (10): P10014. https://doi.org/10.1088/1742-5468/2004/10/P10014.
MiDi, G. 2004. “On dense granular flows.” Eur. Phys. J. 14 (4): 341–365. https://doi.org/10.1140/epje/i2003-10153-0.
Nicolas, M., P. Duru, and O. Pouliquen. 2000. “Compaction of a granular material under cyclic shear.” Eur. Phys. J. 3 (4): 309–314. https://doi.org/10.1007/s101890070001.
Nowak, E. R., J. B. Knight, E. Ben-Naim, H. M. Jaeger, and S. R. Nagel. 1998. “Density fluctuations in vibrated granular materials.” Phys. Rev. E 57 (2): 1971. https://doi.org/10.1103/PhysRevE.57.1971.
Olsson, E., D. Jelagin, and M. N. Partl. 2019. “New discrete element framework for modelling asphalt compaction.” Road Mater. Pavement Des. 20 (2): 604–616. https://doi.org/10.1080/14680629.2019.1633750.
Peng, G., and T. Ohta. 1998. “Logarithmic density relaxation in compaction of granular materials.” Phys. Rev. 57 (1): 829. https://doi.org/10.1103/PhysRevE.57.829.
Pitois, O., P. Moucheront, and X. Chateau. 2000. “Liquid bridge between two moving spheres: An experimental study of viscosity effects.” J. Colloid Interface Sci. 231 (1): 26–31. https://doi.org/10.1006/jcis.2000.7096.
Pöschel, T., and T. Schwager. 2005. Computational granular dynamics: Models and algorithms. Berlin: Springer.
Pouliquen, O., M. Belzons, and M. Nicolas. 2003. “Fluctuating particle motion during shear induced granular compaction.” Phys. Rev. Lett. 91 (1): 014301. https://doi.org/10.1103/PhysRevLett.91.014301.
Pouliquen, O., C. Cassar, P. Jop, Y. Forterre, and M. Nicolas. 2006. “Flow of dense granular material: Towards simple constitutive laws.” J. Stat. Mech: Theory Exp. 2006 (7): P07020. https://doi.org/10.1088/1742-5468/2006/07/P07020.
Ricardo-Archilla, A., and S. Madanat. 2001. “Statistical model of pavement rutting in asphalt concrete mixes.” Transp. Res. Rec. 1764 (1): 70–77. https://doi.org/10.3141/1764-08.
Song, C., P. Wang, and H. A. Makse. 2008. “A phase diagram for jammed matter.” Nature 453 (7195): 629–632. https://doi.org/10.1038/nature06981.
Srebro, Y., and D. Levine. 2003. “Role of friction in compaction and segregation of granular materials.” Phys. Rev. E 68 (6): 061301. https://doi.org/10.1103/PhysRevE.68.061301.
Trulsson, M., B. Andreotti, and P. Claudin. 2012. “Transition from the viscous to inertial regime in dense suspensions.” Phys. Rev. Lett. 109 (11): 118305. https://doi.org/10.1103/PhysRevLett.109.118305.
Tsuji, Y., T. Tanaka, and T. Ishida. 1992. “Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe.” Powder Technol. 71 (3): 239–250. https://doi.org/10.1016/0032-5910(92)88030-L.
Wang, L., B. Zhang, D. Wang, and Z. Yue. 2007. “Fundamental mechanics of asphalt compaction through fem and DEM modeling.” In Analysis of asphalt pavement materials and systems: Engineering methods, 45–63. Reston, VA: ASCE.
Yohannes, B., and K. Hill. 2010. “Rheology of dense granular mixtures: Particle-size distributions, boundary conditions, and collisional time scales.” Phys. Rev. E 82 (6): 061301. https://doi.org/10.1103/PhysRevE.82.061301.
Zhao, T., F. Dai, N. Xu, Y. Liu, and Y. Xu. 2015. “A composite particle model for non-spherical particles in dem simulations.” Granular Matter 17 (6): 763–774. https://doi.org/10.1007/s10035-015-0596-7.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 148Issue 2February 2022

History

Received: Apr 15, 2021
Accepted: Aug 30, 2021
Published online: Nov 23, 2021
Published in print: Feb 1, 2022
Discussion open until: Apr 23, 2022

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Postdoctoral Research, Key Laboratory of Coastal Environment and Resources of Zhejiang Province (KLaCER), School of Engineering, Westlake Univ., Hangzhou, Zhejiang, China. ORCID: https://orcid.org/0000-0001-7912-7300
Professor, Dept. of Civil, Environmental, and Geo-Engineering, Univ. of Minnesota, Minneapolis, MN 55455. ORCID: https://orcid.org/0000-0002-9494-666X
Mihai Marasteanu
Professor, Dept. of Civil, Environmental, and Geo-Engineering, Univ. of Minnesota, Minneapolis, MN 55455.
Associate Professor, Dept. of Civil, Environmental, and Geo-Engineering and St. Anthony Fall Laboratory, Univ. of Minnesota, Minneapolis, MN 55455 (corresponding author). ORCID: https://orcid.org/0000-0002-2080-9793. Email: [email protected]

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Cited by

  • A probabilistic model for field density distribution of asphalt pavements, International Journal of Pavement Engineering, 10.1080/10298436.2022.2129050, (1-13), (2022).
  • One-Dimensional Nonlocal Model for Gyratory Compaction of Hot Asphalt Mixtures, Journal of Engineering Mechanics, 10.1061/(ASCE)EM.1943-7889.0002073, 148, 2, (2022).
  • Influence of fine particle content in debris flows on alluvial fan morphology, Scientific Reports, 10.1038/s41598-022-24397-x, 12, 1, (2022).

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