Three-Dimensional Simulations of Asphalt Pavement Permanent Deformation Using a Nonlinear Viscoelastic and Viscoplastic Model
Publication: Journal of Materials in Civil Engineering
Volume 23, Issue 1
Abstract
The writers recently developed a nonlinear viscoelastic-viscoplastic constitutive model, in order to represent the response of asphalt mixtures under different temperatures and rates of loading. This model has been implemented in the finite-element (FE) code Abaqus via the user material subroutine UMAT, and it was verified through comparisons with experimental data of asphalt mixtures at various stress levels and temperatures. This research develops a three-dimensional FE model using Abaqus to represent a three-layer pavement structure and to simulate the viscoelastic and viscoplastic responses under repeated loading at different temperatures. The results demonstrate the capability of the model in simulating the influence of temperature on permanent deformation and in predicting viscoelastic and viscoplastic strain distributions in the asphalt layer. The simulations show that tensile viscoplastic strain accumulates at the pavement surface, a phenomenon that could be associated with cracking of asphalt pavements. In addition, the results show that at high pavement temperature , tensile viscoplastic strain develops at the sides of the applied load due to asphalt mixture heave associated with permanent deformation and dilation.
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Acknowledgments
The writers would like to acknowledge the financial support of the Federal Highway Administration to the Asphalt Research Consortium (ARC). Also, R. K. Abu Al-Rub and E. A. Masad acknowledge the partial financial support of this study by the Southwest University Transportation Center (SWUTC).
References
Cho, Y., McCullough, B. F., and Weissmann, J. (1996). “Considerations on finite-element method application in pavement structural analysis.” Transportation Research Record. 1539, Transportation Research Board, Washington, D.C., 96–101.
Collop, A. C., Scarpas, A. T., Kasbergen, C., and de Bondt, A. (2003). “Development and finite-element implementation of stress-dependent elastoviscoplastic constitutive model with damage for asphalt.” Transportation Research Record. 1832, Transportation Research Board, Washington, D.C., 96–104.
Gonzalez, J. M., Canet, J. M., Oller, S., and Miro, R. (2007). “A viscoplastic constitutive model with strain rate variables for asphalt mixtures—Numerical simulation.” Comput. Mater. Sci., 38, 543–560.
Haj-Ali, R. M., and Muliana, A. H. (2004). “Numerical finite-element formulation of the Schapery non-linear viscoelastic material model.” Int. J. Numer. Methods Eng., 59, 25–45.
Hua, J., and White, T. (2002). “Study of nonlinear tire contact pressure effects on HMA rutting.” Int. J. Geomech., 2, 353–376.
Huang, B., Mohammad, L. N., and Rasoulian, M. (2001). “Three-dimensional numerical simulation of asphalt pavement at Louisiana accelerated loading facility.” Transportation Research Record. 1764, Transportation Research Board, Washington, D.C., 44–58.
Huang, C. W., Masad, E., Muliana, A., and Bahia, H. (2007). “Nonlinear viscoelastic analysis of asphalt mixes subjected to shear loading.” Mech. Time-Depend. Mater., 11, 91–110.
Hunter, A. E., Airey, G. D., and Harireche, O. (2007). “Numerical modeling of asphalt mixture wheel tracking experiments.” International Journal of Pavement Engineering & Asphalt Technology, 8, 1–19.
Kim, Y., Allen, D. H., and Little, D. N. (2007). “Computational constitutive model for predicting nonlinear viscoelastic damage and fracture failure of asphalt concrete mixtures.” Int. J. Geomech., 7, 102–110.
Lai, J., and Bakker, A. (1996). “3D Schapery representation of non-linear viscoelasticity and finite element implementation.” Comput. Mech., 18, 182–191.
Lee, H. J., and Kim, Y. R. (1998). “Viscoelastic constitutive model for asphalt concrete under cyclic loading.” J. Eng. Mech., 124, 32–40.
Lemaitre, J., and Chaboche, J. -L. (1990). Mechanics of solid materials, Cambridge University Press, London.
Lu, Y., and Wright, P. J. (1998). “Numerical approach of visco-elastoplastic analysis for asphalt mixtures.” Comput. Struct., 69, 139–147.
Masad, E., Dessouky, S., and Little, D. (2007). “Development of an elastoviscoplastic microstructural-based continuum model to predict permanent deformation in hot mix asphalt.” Int. J. Geomech., 7, 119–130.
Masad, E., Huang, C. W., Airey, G., and Muliana, A. (2008). “Nonlinear viscoelastic analysis of unaged and aged asphalt binders.” Constr. Build. Mater., 22, 2170–2179.
Masad, E., Huang, C. W., D’Angelo, J. and Little, D. (2009). “Characterization of asphalt binder resistance to permanent deformation based on nonlinear viscoelastic analysis of multiple stress creep recovery (MSCR) test.” Electron. J. Assoc. Asph. Paving Technol.
Masad, E., Tashman, L., Little, D., and Zbib, H. (2005). “Viscoplastic modeling of asphalt mixes with the effects of anisotropy, damage, and aggregate characteristics.” Mech. Mater., 37, 1242–1256.
Park, S. W., Xia, Q., and Zhou, M. (2001). “Dynamic behavior of concrete at high strain rates and pressures. II: Numerical simulation.” Int. J. Impact Eng., 25, 887–910.
Perl, M. Uzan, J., and Sides, A. (1983). “Visco-elasto-plastic constitutive law for bituminous mixture under repeated loading.” Transportation Research Record. 911, Transportation Research Board, Washington, D.C., 20–26.
Perzyna, P. (1971). “Thermodynamic theory of viscoplasticity.” Adv. Appl. Mech., 11, 313–354.
Sadd, M. H., Parameswaran, D. Q., and Shukla, A. (2004). “Simulation of asphalt materials using finite element micromechanical model with damage mechanics.” Transportation Research Record. 1832, Transportation Research Board, Washington, D.C., 86–95.
Saleeb, A., Liang, R. Y., Qablan, H. A., and Powers, D. (2005). “Numerical simulation techniques for HMA rutting under loaded wheel tester.” Int. J. Pavement Eng., 6(1), 57–66.
Schapery, R. A. (1969). “On the characterization of nonlinear viscoelastic materials.” Polym. Eng. Sci., 9, 295–310.
Seibi, A. C., Sharma, M. G., Ali, G. A., and Kenis, W. J. (2001). “Constitutive relations for asphalt concrete under high rates of loading.” Transportation Research Record. 1767, Transportation Research Board, Washington, D.C., 111–119.
Sides, A., Uzan, J., and Perl, M. (1985). “A comprehensive visco-elastoplastic characterization of sand-asphalt compressive and tensile cyclic loading.” J. Test. Eval., 13, 49–59.
Tashman, L., Masad, E., Zbib, H., Little, D., and Kaloush, K. (2005). “Microstructural viscoplastic continuum model for asphalt pavements.” J. Eng. Mech., 131(1), 48–57.
Information & Authors
Information
Published In
Journal of Materials in Civil Engineering
Volume 23 • Issue 1 • January 2011
Pages: 56 - 68
Copyright
© 2011 ASCE.
History
Received: May 22, 2009
Accepted: Sep 16, 2010
Published online: Sep 24, 2010
Published in print: Jan 2011
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