Mechanistic Rutting Prediction Using a Two-Stage Viscoelastic-Viscoplastic Damage Constitutive Model of Asphalt Mixtures
Publication: Journal of Engineering Mechanics
Volume 139, Issue 11
Abstract
A two-stage viscoelastic-viscoplastic damage constitutive model and the corresponding parameters calibration method were briefly given. Then, the numerical algorithms of the proposed constitutive model were implemented based on a radial return mapping algorithm and realized using the user material subroutine in the well-known finite-element code. A rutting prediction method of asphalt pavement was proposed based on the two-stage viscoelastic-viscoplastic damage constitutive model along with a loading equivalence method. Laboratory wheel tracking tests under different temperatures, different loading levels, once variable amplitude loads, and step variable amplitude loads were conducted to evaluate the efficiency of rutting prediction. Finally, the test results were compared with finite-element simulated results. All the results indicate that the constitutive model and the corresponding rutting prediction method proposed in this paper can effectively represent the rutting developing rules under standard loading and complicated variable amplitude loading with reliable prediction accuracy. Meanwhile, the mechanism of rutting development can be characterized through analyzing the evolution rules of internal state variables based on the proposed constitutive model.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors thank the anonymous reviewers for insightful comments and constructive suggestions, which helped to refine the original manuscript. This study is sponsored in part by National Science Foundation (NSF) Grant No. CMMI-0408390 and NSF CAREER Award No. CMMI-0644552, American Chemical Society Petroleum Research Foundation Grant No. PRF-44468-G9, National Natural Science Foundation of China Grant Nos. U1134206 and 51250110075, Jiangsu Natural Science Foundation Grant No. SBK200910046, Huoyingdong Educational Foundation Grant No. 114024, and Jiangsu Department of Construction Grant No. 20091210. The authors also thank Mr. Linghao Gu, who participated in numerical computation of rutting evolution.
References
ABAQUS theory manual v6.11. (2011). Dassault Systèmes Simulia Corp., Providence, RI.
Abu Al-Rub, R. K., Darabi, M. K., Huang, C. W., Masad, E. A., and Little, D. N. (2012). “Comparing finite element and constitutive modeling techniques for predicting rutting of asphalt pavements.” Int. J. Pavement Eng., 13(4), 322–338.
Abu Al-Rub, R. K., Darabi, M. K., Little, D. N., and Masad, E. A. (2010). “A micro-damage healing model that improves prediction of fatigue life in asphalt mixes.” Int. J. Eng. Sci., 48(11), 966–990.
Abu Al-Rub, R. K., and Kim, S. M. (2010). “Computational applications of a coupled plasticity-damage constitutive model for simulating plain concrete fracture.” Eng. Fract. Mech., 77(10), 1577–1603.
Darabi, M. K., Abu Al-Rub, R. K., Masad, E. A., Huang, C. W., and Little, D. N. (2011). “A thermo-viscoelastic–viscoplastic–viscodamage constitutive model for asphaltic materials.” Int. J. Solids Struct., 48(1), 191–207.
Darabi, M. K., Abu Al-Rub, R. K., Masad, E. A., Huang, C. W., and Little, D. N. (2012). “A modified viscoplastic model to predict the permanent deformation of asphaltic materials under cyclic-compression loading at high temperatures.” Int. J. Plast., 35, 100–134.
Gibson, N. H. (2006). “A viscoelastoplastic continuum damage model for the compressive behavior of asphalt concrete.” Ph.D. dissertation, Univ. of Maryland, College Park, MD.
Hua, J. (2000). “Finite element modeling and analysis of accelerated pavement testing devices and rutting phenomenon.” Ph.D. dissertation, Purdue Univ., West Lafayette, IN.
Hua, J., and White, T. (2002). “Study of nonlinear tire contact pressure effects on HMA rutting.” Int. J. Geomech., 2(3), 353–376.
Huang, B., Mohammad, L. N., and Rasoulian, M. (2001). “Three-dimensional numerical simulation of asphalt pavement at Louisiana accelerated loading facility.” Transp. Res. Rec., 1764, 44–58.
Huang, B., Mohammad, L. N., and Wathugala, G. W. (2002). “Development of a thermo-viscoplastic constitutive model for HMA mixtures.” J. Assoc. Asphalt Paving Technologists, 71, 594–618.
Huang, B., Mohammad, L. N., and Wathugala, G. W. (2004). “Application of a temperature dependent viscoplastic hierarchical single surface model for asphalt mixtures.” J. Mater. Civ. Eng., 16(2), 147–154.
Huang, C. W., Abu Al-Rub, R. K., Masad, E. A., and Little, D. N. (2011). “Three-dimensional simulations of asphalt pavement permanent deformation using a nonlinear viscoelastic and viscoplastic model.” J. Mater. Civ. Eng., 23(1), 56–68.
Hunter, A. E., Airey, G. D., and Harireche, O. (2007). “Numerical modeling of asphalt mixtures wheel tracking experiments.” Int. J. Pavement Eng. Asphalt Technol., 8(2), 52–71.
Kettil, P., Lenhof, B., Runesson, K., and Wiberg, N. E. (2007). “Simulation of inelastic deformation in road structures due to cyclic mechanical and thermal loads.” Comp. Struct., 85(1–2), 59–70.
Kobayashi, M., Mukai, M., Takahashi, H., and Ohno, N. (2003). “Implicit integration and consistent tangent modulus of a time-dependent non-unified constitutive model.” Int. J. Numer. Methods Eng., 58(10), 1523–1543.
Kullig, E., and Wippler, S. (2006). “Numerical integration and FEM-implementation of a viscoplastic Chaboche-model with static recovery.” Comput. Mech., 38(6), 491–503.
Lu, Y., Lu, L., and Wright, P. J. (2002). “Visco-elastoplastic method for pavement performance evaluation.” Transportation, 153(4), 227–234.
Lu, Y., and Wright, P. J. (1998). “Numerical approach of visco-elastoplastic analysis for asphalt mixtures.” Comp. Struct., 69(2), 139–157.
Lu, Y., and Wright, P. J. (2000). “Temperature related visco-elastoplastic properties of asphalt mixtures.” J. Transp. Eng., 126(1), 58–65.
Masad, E., Dessouky, S., and Little, D. (2007). “Development of an elastoviscoplastic microstructual-based continuum model to predict permanent deformation in hot mix asphalt.” Int. J. Geomech., 7(2), 119–130.
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(12), 1242–1256.
MATLAB user guide R2007b. (2007). The MathWorks, Inc., Natick, MA.
National Cooperative Highway Research Program (NCHRP) 9-29. (2007). “Equipment specification for the simple performance test system.” Transportation Research Board, National Research Council, Washington, DC.
Park, D., Martin, A. E., and Masad, E. (2005). “Effects of nonuniform tire contact stresses on pavement response.” J. Transp. Eng., 131(11), 873–879.
Saadeh, S., Masad, E., and Little, D. (2007). “Characterization of hot mix asphalt using anisotropic damage viscoelastic–viscoplastic model and repeated loading.” J. Mater. Civ. Eng., 19(10), 912–924.
Saleeb, A., et al. (2005). “Numerical simulation techniques for HMA rutting under loaded wheel tester.” Int. J. Pavement Eng., 6(1), 57–66.
Schapery, R. A., and Park, S. W. (1999). “Methods of interconversion between linear viscoelastic material functions. Part I—A numerical method based on Prony series.” Int. J. Solids Struct., 36(11), 1677–1699.
Simo, J. C., and Taylor, R. L. (1986). “A return mapping algorithm for plane stress elastoplasticity.” Int. J. Numer. Methods Eng., 22(3), 649–670.
Sun, L., Zhu, H. R., and Zhu, Y. T. (2013). “A two-stage viscoelastic-viscoplastic damage constitutive model of asphalt mixtures.” J. Mater. Civ. Eng., 25(8), 958–971.
Sun, L., and Zhu, Y. T. (2013). “A serial two-stage viscoelastic-viscoplastic constitutive model with theremodynamical consistency for characterizing time-dependent deformation behavior of asphalt concrete mixtures.” Construct. Building Mater., 40, 584–595.
Tashman, L., Masad, E., Little, D. N., and Zbib, H. A. (2005). “Microstructure-based viscoplastic model for asphalt concrete.” Int. J. Plast., 21(9), 1659–1685.
Zhu, H., and Sun, L. (2013). “A viscoelastic-viscoplastic damage constitutive model for asphalt mixture based on thermodynamics.” Int. J. Plast., 40, 81–100.
Zhu, H. R., Sun, L., Yang, J., and Chen, Z. W. (2011a). “Developing master curves and predicting dynamic modulus of polymer modified asphalt mixtures.” J. Mater. Civ. Eng., 23(2), 131–137.
Zhu, Y. T., Sun, L., and Xu, H. L. (2011b). “L-curve based Tikhonov’s regularization method for determining relaxation modulus from creep test.” J. Applied Mech., 78(3), 031002.
Zhu, Y. T., Sun, L., Zhu, H. R., and Xiang, W. (2010). “A constitutive model of viscoelastic-viscoplastic solids based on thermodynamics theory.” Chin. Qrtly. J. Mech., 31(4), 449–459.
Zhu, Y. T., Wang, Y., Sun, L., and You, K. S. (2009). “Thermodynamic formulations of different coupling conditions between damage and plasticity.” J. Southeast Univ., 39(5), 1065–1069.
Zocher, M. A., Groves, S. E., and Allen, D. H. (1997). “A three-dimensional finite element formulation for thermoviscoelastic orthotropic media.” Int. J. Numer. Methods Eng., 40(12), 2267–2288.
Information & Authors
Information
Published In
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Aug 18, 2012
Accepted: Jan 30, 2013
Published online: Feb 1, 2013
Published in print: Nov 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.