TECHNICAL PAPERS
Dec 1, 2008

Three-Dimensional Discrete Element Models for Asphalt Mixtures

Publication: Journal of Engineering Mechanics
Volume 134, Issue 12

Abstract

The main objective of this paper is to develop three-dimensional (3D) microstructure-based discrete element models of asphalt mixtures to study the dynamic modulus from the stress-strain response under compressive loads. The 3D microstructure of the asphalt mixture was obtained from a number of two-dimensional (2D) images. In the 2D discrete element model, the aggregate and mastic were simulated with the captured aggregate and mastic images. The 3D models were reconstructed with a number of 2D models. This stress-strain response of the 3D model was computed under the loading cycles. The stress-strain response was used to predict the asphalt mixture’s stiffness (modulus) by using the aggregate and mastic stiffness. The moduli of the 3D models were compared with the experimental measurements. It was found that the 3D discrete element models were able to predict the mixture moduli across a range of temperatures and loading frequencies. The 3D model prediction was found to be better than that of the 2D model. In addition, the effects of different air void percentages and aggregate moduli to the mixture moduli were investigated and discussed.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This study was partially supported by the State of Michigan Research Excellence Fund. This material is also based in part upon work supported by the National Science Foundation under Grant No. 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 Foundation.

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., 6(2), 137–146.
Airey, G. D., Rahimzadeh, B., and Collop, A. C. (2004). “Linear rheological behavior of bituminous paving materials.” J. Mater. Civ. Eng., 16(3), 212–220.
Buttlar, W. G., Bozkurt, D., Al-Khateeb, G. G., and Waldhoff, A. S. (1999). “Understanding asphalt mastic behavior through micromechanics.” Transportation Research Record. 1681, Transportation Research Board, Washington, D.C., 157–169.
Buttlar, W. G., and Dave, E. V. (2005). “A micromechanics-based approach for determining presence and amount of recycled asphalt pavement material in asphalt concrete (with discussion).” Asphalt Paving Technol., 74, 829–884.
Buttlar, W. G., and You, Z. (2001). “Discrete element modeling of asphalt concrete: Microfabric approach.” Transportation Research Record. 1757, Transportation Research Board, Washington, D.C., 111–118.
Chang, C. S., and Chao, S.-J. (1991). “Discrete element method for bearing capacity analysis.” Comput. Geotech., 12(4), 273–288.
Chang, C. S., and Chao, S.-J. (1994). “Discrete element analysis for active and passive pressure distribution on retaining wall.” Comput. Geotech., 16(4), 291–310.
Chang, G. K., and Meegoda, J. N. (1999). “Micro-mechanic model for temperature effects of hot mixture asphalt concrete.” J. Trans. Res. Record. 1687, Transportation Research Board, Washington, D.C., 95–103.
Chang, K. G., and Meegoda, J. (1997). “Micromechanical simulation of hot mix asphalt.” J. Eng. Mech., 123(5), 495–503.
Christensen, D. W., Pellien, T., and Bonaquist, R. F. (2003). “Hirsch models for estimating the modulus of asphalt concrete.” Asphalt Paving Technol., 72, 97–121.
Christensen, R. M., and Lo, K. H. (1979). “Solutions for effective shear properties in three phase sphere and cylinder models.” J. Mech. Phys. Solids, 27, 315–330.
Collop, A. C., McDowell, G. R., and Lee, Y. (2004). “Use of the distinct element method to model the deformation behavior of an idealized asphalt mixture.” Int. J. Pavement Eng., 5, 1–7.
Counto, V. J. (1964). “The effect of the elastic modulus of the aggregate on the elastic modulud, creep, and creep recovery of concrete.” Mag. Concrete Res., 62(48), 129–138.
Cundall, P. A. (1971). “A computer model for simulating progressive large scale movements in blocky rock systems.” Proc., Int. Symp. Rock Fracture, ISRM, Vol. II-8, Nancy, France, 129–136.
Cundall, P. A. (1987). Distinct element models of rock and soil structure, E. T. Brown, ed., George Allen and Unwin, London.
Cundall, P. A. (1990). “Numerical modelling of jointed and faulted rock.” Proc., Int. Conf. on Mechanics of Jointed and Faulted Rock, Mechanics of jointed and faulted rock, Balkema, Rotterdam, The Netherlands, 11–18.
Cundall, P. A. (2000). “A discontinuous future for numerical modelling in geomechanics?” Geotech. Eng., 149(1), 41–47.
Dai, Q., and Sadd, M. H. (2004). “Parametric model study of microstructure effects on damage behavior of asphalt samples.” Int. J. Pavement Eng., 5(1), 19–30.
Dai, Q., Sadd, M. H., Parameswaran, V., and Shukla, A. (2005). “Prediction of damage behaviors in asphalt materials using a micromechanical finite-element model and image analysis.” J. Eng. Mech., 131(7), 668–677.
Dai, Q., Sadd, M. H., and You, Z. (2006). “A micromechanical finite element model for viscoelastic creep and viscoelastic damage behavior of asphalt mixture.” Int. J. Numer. Analyt. Meth. Geomech., 30, 1135–1158.
Dai, Q., 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.
Guddati, M. N., Feng, Z., and Kim, R. (2002). “Toward a micromechanics-based procedure to characterize fatigue performance of asphalt concrete.” Transportation Research Record. 1789, Transportation Research Board, Washington, D.C., 121–128.
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.
Hashin, Z. (1962). “The elastic moduli of heterogeneous materials.” J. Appl. Mech., 29, 143–150.
Hashin, Z. (1965). “Viscoelastic behaviour of heterogeneous media.” J. Appl. Mech., 32(9), 630–636.
Hashin, Z., and Shtrikman, S. (1963). “A variational approach to the theory of the elastic behaviour of multiphase materials.” J. Mech. Phys. Solids, 11, 127–140.
Hirsch, T. J. (1962). “Modulus of elasticity of concrete affected by elastic moduli of cement paste matrix and aggregate.” J. Am. Concr. Inst., 59(3), 427–452.
Itasca Consulting Group. (2004a). PFC 2D Version 3.1, Minneapolis.
Itasca Consulting Group. (2004b). PFC 3D Version 3.1, Minneapolis.
Kerner, E. H. (1956). “The elastic and thermo-elastic properties of composite media.” Proc. Phys. Soc. London, Sect. B, 69, 808–813.
Kim, H., and Buttlar, W. G. (2005). “Micro mechanical fracture modeling of asphalt mixture using the discrete element method.” Electron. J. Assoc. Asph. Paving Technol.(AAPT), Vol. 74E 209–223.
Kose, S., Guler, M., Bahia, H. U., and Masad, E. (2000). “Distribution of strains within asphalt binders in HMA using image and finite element techniques.” Transportation Research Record. 1728, Transportation Research Board, Washington, D.C., 21–27.
Li, G., Li, Y., Metcalf, J. B., and Pang, S.-S. (1999). “Elastic modulus prediction of asphalt concrete.” J. Mater. Civ. Eng., 11(3), 236–241.
Li, Y., and Metcalf, J. B. (2005). “Two-step approach to prediction of asphalt concrete modulus from two-phase micromechanical models.” J. Mater. Civ. Eng., 17(4), 407–415.
Masad, E., Jandhyala, V. K., Dasgupta, N., Somadevan, N., and Shashidhar, N. (2002). “Characterization of air void distribution in asphalt mixes using x-ray computed tomography.” J. Mater. Civ. Eng., 14(2), 122–129.
Mori, T., and Tanaka, K. (1973). “Average stress in matrix and average elastic energy of materials with misfitting inclusions.” Acta Metall., 21, 571–574.
Ng, T.-T. (2006). “Input parameters of discrete element methods.” J. Eng. Mech., 132(7), 723–729.
Ng, T. T., and Changming, W. (2001). “Comparison of a 3-D DEM simulation with MRI data.” Int. J. Numer. Analyt. Meth. Geomech., 25(5), 497–507.
Papagiannakis, A. T., Abbas, A., and Masad, E. (2002). “Micromechanical analysis of viscoelastic properties of asphalt concretes.” Transportation Research Record. 1789, Transportation Research Board, Washington, D.C., 113–120.
Park, S. W., Kim, Y. R., and Lee, H. J. (1999). “Fracture toughness for microcracking in a viscoelastic particulate composite.” J. Eng. Mech., 125(6), 722–725.
Rothenburg, L., Bogobowicz, A., Hass, R., Jung, F. W., and Kennepohl, G. (1992). “Micromechanical modelling of asphalt concrete in connection with pavement rutting problems.” Proc., 7th Int. Conf. on the Struct. Des. of Asphalt Pavements, Rd. Res. Lab, Univ. of Michigan, Ann Arbor, Mich., 476–498.
Sadd, M. H., Dai, Q., and Parameswaran, V. (2003). “Simulation of asphalt materials using finite element micromechanical model with damage mechanics.” Transportation Research Record. 1832, Transportation Research Board, Washington, D.C., 86–95.
Sadd, M. H., Dai, Q., and Parameswaran, V. (2004). “Microstructural simulation of asphalt materials: Modeling and experimental studies.” J. Mater. Civ. Eng., 16(2), 107–115.
Shimizu, Y., and Cundall, P. A. (2001). “Three-dimensional DEM simulations of bulk handling by screw conveyors.” J. Eng. Mech., 127(9), 864–872.
Thornton, C. (1979). “Conditions for failure of a face-centered cubic array of uniform rigid spheres.” Geotechnique, 29(4), 441–459.
Wang, L. B., Myers, L. A., Mohammad, L. N., and Fu, Y. R. (2003). “Micromechanics study on top-down cracking.” Transportation Research Record. 1853, Transportation Research Board Washington, D.C., 121–133.
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. (2005). “Application of discrete element modeling techniques to predict the complex modulus of asphalt-aggregate hollow cylinders subjected to internal pressure.” Transportation Research Record. 1929, Transportation Research Board, Washington, D.C., 218–226.
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, D.C., 73–83.
You, Z., Buttlar, W. G., and Dai, Q. (2006). “Aggregate effect on asphalt mixture properties by modeling particle-to-particle interaction.” Proc., Sessions of the 15th U.S. National Congress of Theoretical and Applied Mechanics, American Society of Civil Engineers, L. Wang and E. Masad, eds., Boulder, Colo., 14–21.
You, Z., and Dai, Q. (2007). “A review of advances in micromechanical modeling of aggregate-aggregate interaction in asphalt mixture.” Can. J. Civ. Eng., 34(2), 239–252.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 134Issue 12December 2008
Pages: 1053 - 1063

History

Received: Dec 7, 2006
Accepted: Mar 6, 2008
Published online: Dec 1, 2008
Published in print: Dec 2008

Permissions

Request permissions for this article.

Notes

Note. Associate Editor: Ching S. Chang

Authors

Affiliations

Zhanping You, Ph.D. [email protected]
P.E.
Donald and Rose Ann Tomasini Assistant Professor, Dept. of Civil and Environmental Engineering, Michigan Technological Univ., 1400 Townsend Dr., Houghton, MI 49931-1295 (corresponding author). E-mail: [email protected]
Sanjeev Adhikari [email protected]
Graduate Research Assistant, Dept. of Civil and Environmental Engineering, Michigan Technological Univ., 1400 Townsend Dr., Houghton, MI 49931-1295. E-mail: [email protected]
Qingli Dai, Ph.D. [email protected]
Research Assistant Professor, Dept. of Mechanical Engineering-Engineering Mechanics, Michigan Technological Univ., 1400 Townsend Dr., Houghton, MI 49931-1295. E-mail: [email protected]

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share