Prediction of Viscoelastic Behavior in Asphalt Concrete Using the Fast Multipole Boundary Element Method
Publication: Journal of Materials in Civil Engineering
Volume 25, Issue 3
Abstract
This paper describes an application of the fast multipole boundary element method (FMBEM) in simulating the viscoelastic behavior of asphalt concrete (AC). FMBEM has some merits including easy meshing of complicated geometries, accuracy in solving singular fields, high calculation efficiency, and low data storage requirements. These merits lead to many applications in multiple time-step and multi-inclusion problems, such as prediction of AC creep behavior. In this paper, a fast multipole formulation and an algorithm for two-dimensional linear viscoelastic problems are introduced first. To consider the bonding between the asphalt matrix and aggregates, a viscoelastic interface model is used to simulate the interfacial imperfection. A numerical model of asphalt concrete is then constructed based on image processing techniques, and the model is capable of taking into account the effects of the size and content of the air voids. The creep compliance of AC is predicted by the developed FMBEM arithmetic and subsequently compared with the experimental results. It has been shown that the developed method can describe and simulate the correct creep evolutionary trend of AC.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The research described in this paper was supported by the Innovation Foundation of Shanghai University (No. 10-0401-10-002), Natural Science Foundation of China (No. 10725210, 51178421, and 11102104), and National Basic Research Program of China (No. 2009CB623204). The authors also thank Professor B. S. Huang and Dr. X. Shu (of the University of Tennessee) for their valuable discussions and suggestions.
References
Anderson, D. A., and Goetz, W. H. (1973). “Mechanical behavior and reinforcement of mineral filler-asphalt mixtures.” J. Assoc. Asphalt Pav. Technol., 42(1), 37–66.
Bandyopadhyaya, R., Das, A., and Basu, S. (2008). “Numerical simulation of mechanical behaviour of asphalt mix.” Constr. Build. Mater., 22(6), 1051–1058.
Barksdale, R. D. (1991). The aggregate handbook, National Stone Association, Washington, DC.
Berthelot, C. F., Allen, D. H., and Searcy, C. R. (2003). “Method for performing accelerated characterization of viscoelastic constitutive behavior of asphaltic concrete.” J. Mater. Civ. Eng., 15(5), 496–505.
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, DC, 157–169.
Buttlar, W. G., and Roque, R. (1996). “Evaluation of empirical and theoretical models to determine asphalt mixture stiffnesses at low temperature.” J. Assoc. Asphalt Pav. Technol., 65(1), 99–141.
Dai, Q. L., Martin, H. S., Venkit, P., and Arun, S. (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. L., and You, Z. P. (2007). “Prediction of creep stiffness of asphalt mixture with micromechanical finite-element and discrete-element models.” J. Eng. Mech., 133(2), 163–173.
Guo, N. S., and Zhao, Y. H. (2007). “Viscoelastic performance analysis of fiber reinforced asphalt concrete.” J. Traffic Trans. Eng., 7(5), 37–40 (in Chinese).
Guo, N. S., Zhao, Y. H., Hou, J. C., and Fan, Y. F. (2008). “Relaxation property of fiber reinforced asphalt concrete.” J. Build. Mater., 11(1), 28–32 (in Chinese).
Guo, N. S., Zhao, Y. H., and Zhang, H. T. (2006). “Equivalent stiffness moduli of fiber-reinforced asphalt concrete.” J. Highway Trans. Res. Dev., 23(9), 23–39 (in Chinese).
Kim, Y., and Little, D. N. (2004). “Linear viscoelastic analysis of asphalt mastic.” J. Mater. Civ. Eng., 16(2), 122–132.
Li, X. J., and Marasteanu, M. (2010). “The fracture process zone in asphalt mixture at low temperature.” Eng. Fract. Mech., 77(7), 1175–1190.
Li, Y. Q., 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.
Liu, Y. J. (2006). “A new fast multipole boundary element method for solving large-scale two-dimensional elastostatic problems.” Int. J. Numer. Method. Eng., 65(6), 863–881.
Masad, E., and Button, J. (2004). “Implications of experimental measurements and snalyses of the internal structure of hot-mix asphalt.” Transportation Research Record 1891, Transportation Research Board, Washington, DC, 212–220.
Masad, E., Castelblanco, A., and Birgisson, B. (2006). “Effects of air void size distribution, pore pressure, and bond energy on moisture damage.” J. Test. Eval., 34(1), 15–23.
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.
Masad, E., Muhunthan, B., Shashidhar, N., and Harman, T. (1999). “Quantifying laboratory compaction effects on the internal structure of asphalt concrete.” Transportation Research Record 1681, Transportation Research Board, Washington, DC, 179–185.
Nishimura, N. (2002). “Fast multipole accelerated boundary integral equation methods.” Appl. Mech. Rev., 55(4), 299–325.
Shashidhar, N., and Shenoy, A. (2002). “On using micromechanical models to describe dynamic mechanical behavior of asphalt mastics.” Mech. Mater., 34(10), 657–669.
Shu, X., and Huang, B. S. (2008). “Micromechanics-based dynamic modulus prediction of polymeric asphalt concrete mixtures.” Compos. Part B Eng., 39(4), 704–713.
Vincent, D., Chantal, D. L. R., and Olivier, B. (2010). “Influence of the compaction process on the air void homogeneity of asphalt mixtures samples.” Constr. Build. Mater., 24(6), 885–897.
You, Z. (2003). “Development of a micromechanical modeling approach to predict asphalt mixture stiffness using discrete-element method.” Ph.D. dissertation, Univ. of Illinois at Urbana–Champaign, Urbana, IL.
You, Z. P., and Buttlar, W. G. (2004). “Discrete-element modeling to predict the modulus of asphalt concrete mixtures.” J. Mater. Civ. Eng., 16(2), 140–146.
Zhu, X. Y., Chen, W. Q., Huang, Z. Y., and Liu, Y. J. (2011). “A fast multipole boundary element method for 2D viscoelastic problems.” Eng. Anal. Bound. Elem., 35(2), 170–178.
Information & Authors
Information
Published In
Journal of Materials in Civil Engineering
Volume 25 • Issue 3 • March 2013
Pages: 328 - 336
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Jul 20, 2011
Accepted: Jun 1, 2012
Published online: Aug 25, 2012
Published in print: Mar 1, 2013
Authors
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.