References
- AASHTO T322-07. (2011). Determining the creep compliance and strength of hot mix asphalt (HMA) using the indirect tensile test device. American Association of State Highway and Transportation Officials.
- AASHTO T342-11. (2011). Standard method of test for determining dynamic modulus of hot mix asphalt (HMA). American Association of State Highway and Transportation Officials.
- Abaqus. (2014). Abaqus analysis user’s guide. https://www.sharcnet.ca/Software/Abaqus/6.14.2/v6.14/books/usb/default.htm?startat=pt05ch22s07abm13.html#usb-mat-cfreqvisco
- Bonaquist, R., & Christensen, D. W. (2005). Practical procedure for developing dynamic modulus master curves for pavement structural design. Transportation Research Record: Journal of the Transportation Research Board, 1929(1), 208–217. https://doi.org/https://doi.org/10.3141/1929-25
- Cardona, D. A. R., Pouget, S., Di Benedetto, H., & Olard, F. (2015). Viscoelastic behaviour characterization of a gap-graded asphalt mixture with SBS polymer modified bitumen. Materials Research, 18(2), 373–381. https://doi.org/https://doi.org/10.1590/1516-1439.332214
- Chailleux, E., Ramond, G., Such, C., & de la Roche, C. (2006). A mathematical-based master-curve construction method applied to complex modulus of bituminous materials. Road Materials and Pavement Design, 7(S1), 75–92. https://doi.org/https://doi.org/10.1080/14680629.2006.9690059
- Daoudi, A., Perraton, D., Dony, A., & Carter, A. (2020). From complex modulus E* to creep compliance D(t): Experimental and modeling study. Materials, 13(8), 1945. https://doi.org/https://doi.org/10.3390/ma13081945
- Daver, F., Kajtaz, M., Brandt, M., & Shanks, R. A. (2016). Creep and recovery behaviour of polyolefin-rubber nanocomposites developed for additive manufacturing. Polymers, 8(12), 1–13. https://doi.org/https://doi.org/10.3390/polym812043
- Di Benedetto, H., Mondher, N., Sauzéat, C., & Olard, F. (2007). Three-dimensional thermo-viscoplastic behaviour of bituminous materials: The DBN model. Road Materials and Pavement Design, 8, 285–315. https://doi.org/https://doi.org/10.1080/14680629.2007.9690076
- Di Benedetto, H., Olard, F., Sauzéat, C., & Delaporte, B. (2004). Linear viscoelastic behaviour of bituminous materials: From binders to mixes. Road Materials and Pavement Design, 5(S1), 163–202. https://doi.org/https://doi.org/10.1080/14680629.2004.9689992
- Fancey, K. F. (2005). A mechanical model for creep, recovery and stress relaxation in polymeric materials. Journal of Materials Science, 40(18), 4827–4831. https://doi.org/https://doi.org/10.1007/s10853-005-2020-x
- Ferry, J. (1980). Viscoelastic properties of polymers (third ed.). John Wiley.
- Gayte, P., Di Benedetto, H., & Sauzéat, C. (2014). Three dimensional behaviour of bituminous mixtures in the linear viscoelastic and viscoplastic domaines: The DBN model. In Y. R. Kim (Ed.), Proceedings of ISAP conference (pp. 1079–1090). Taylor & Francis Group.
- Goli, A., Baditha, A., Muppireddy, A. R., & Pandey, B. B. (2019). Comparison of various rutting parameters and modelling of creep and recovery behaviour of high modulus bituminous binders. International Journal of Pavement Research and Technology, 12(6), 648–658. https://doi.org/https://doi.org/10.1007/s42947-019-0077-1
- Goodrich, J. (1988). Asphalt and polymer modified asphalt properties related to the performance of asphaltic concrete mixes. Association of asphalt paving technologists Proc (Vol. 57, pp. 116–175), MN, Association of Asphalt Paving Technologists (AAPT).
- Heck, J. V. (2001). Modélisation des déformations réversibles et étude des deformations permanentes des enrobes bitumineux – application à l’orniérage des chausses (Doctoral dissertation). Nantes: Ecole Centrale de Nantes.
- Hornych, P., Kerzrého, J. P., & Salasca, S. (2002). Prediction of the behaviour of a flexible pavement using finite element analysis with non-linear elastic and viscoelastic models. Proceedings of 9th International Conference on Asphalt Pavements, 17-22 August, (pp. 511–529). Curran Associates.
- Judycki, J. (2016). A new viscoelastic method of calculation of low-temperature thermal stresses in asphalt layers of pavements. International Journal of Pavement Engineering, 19(1), 24–36. https://doi.org/https://doi.org/10.1080/10298436.2016.1149840
- Kim, J., Sholar, G. A., & Kim, S. (2008). Determination of accurate creep compliance and relaxation modulus at a single temperature for viscoelastic solids. Journal of Materials in Civil Engineering, 20(2), 147–156. https://doi.org/https://doi.org/10.1061/(ASCE)0899-1561(2008)20:2(147)
- Lee, H. J., & Kim, Y. R. (1998). Viscoelastic constitutive model for asphalt concrete under cyclic loading. Journal of Engineering Mechanics, 124(1), 32–40. https://doi.org/https://doi.org/10.1061/(ASCE)0733-9399(1998)124:1(32)
- Liu, Y., & You, Z. (2009). Determining Burger's model parameters of asphalt materials using creep-recovery testing data. Proceeedings of Symposium on Pavement Mechanics and Materials at the Inaugural International Conference of the Engineering Mechanics Institute, 18-21 May, (pp. 26–36). American Society of Civil Engineers.
- Lou, R., Lv, H., & Liu, H. (2018). Development of Prony series models based on continuous relaxation spectrums for relaxation moduli determined using creep tests. Construction and Building Materials, 168, 758–770. https://doi.org/https://doi.org/10.1016/j.conbuildmat.2018.02.036
- Mazurek, G. (2016). Implementation of the generalized viscoelastic Huet-Sayegh and Burgers model to determine the stiffness modulus of asphalt concrete. Structure and Environment, 8, 237–242.
- Moon, K. H., Falchetto, A. C., & Marasteanu, M. O. (2013). Rheological modelling of asphalt materials properties at low temperatures: From time domain to frequency domain. Road Materials and Pavement Design, 14(4), 810–830. https://doi.org/https://doi.org/10.1080/14680629.2013.817351
- NCHRP 1-37A. (2004). Guide for mechanistic-empirical design of new and rehabilitated pavement structures. National Cooperative Highway Research Program, USA.
- Neifar, M., & Di Benedetto, H. (2001). Thermo-viscoplastic law for bituminous mixes. Road Materials and Pavement Design, 2(1), 71–95. https://doi.org/https://doi.org/10.1080/14680629.2001.9689894
- Nguyen, H. T. T. (2017). Modelling the mechanical behaviour of asphalt concrete using the Perzyna viscoplastic theory and Drucker–Prager yield surface. Road Materials and Pavement Design, 18(S2), 264–280. https://doi.org/https://doi.org/10.1080/14680629.2017.1304255
- Nguyen, Q. T., Nguyen, M. L., Di Benedetto, H., Sauzéat, C., Chailleux, E., & Hoang, T. T. N. (2019). Nonlinearity of bituminous materials for small amplitude cyclic loadings. Road Materials and Pavement Design, 20(7), 1571–1585. https://doi.org/https://doi.org/10.1080/14680629.2018.1465452
- Nguyen, H. T. T., Nguyen, D. L., Tran, V. T., & Nguyen, M. L. (2021a). Finite element implementation of Huet–Sayegh and 2S2P1D models for analysis of asphalt pavement structures in time domain. Road Materials and Pavement Design, https://doi.org/https://doi.org/10.1080/14680629.2020.1809501
- Nguyen, M. L., Sauzéat, C., Di Bendetto, H., & Tapsoba, N. (2013). Validation of the time-temperature superposition principle for crack propagation in bituminous mixtures. Materials and Structures, 46(7), 1075–1087. https://doi.org/https://doi.org/10.1617/s11527-012-9954-7
- Nguyen, H. T. T., Tran, V. T., Phan, V. R., & Phan, B. G. (2021b). Analysis of stress and strain in flexible pavement structures comprised of conventional and high modulus asphalt using viscoelastic theory. In A. Rotaru (Ed.), Critical thinking in the sustainable rehabilitation and risk management of the built environment. CRIT-RE-BUILT 2019 (pp. 207–219). Springer Nature Switzerland.
- Olard, F., & Di Benedetto, H. (2003). General ‘2S2P1D’ model and relation between the linear viscoelastic behaviours of bituminous binders and mixes. Road Materials and Pavement Design, 4, 185–224. https://doi.org/https://doi.org/10.1080/14680629.2003.9689946
- On Tam, W., Solaimanian, M., & Kennedy, T. W. (2000). Research report number 1250-4: Development and use of static creep test to evaluate rut resistance of superpave mixes. The University of Texas at Austin, USA.
- Pellinen, T., Witczak, M. W., & Bonaquist, R. F. (2003). Asphalt mix master curve construction using sigmoidal fitting function with non-linear least squares optimization. Proceedings of 15th Engineering Mechanics Division Conference, 4 June, (pp. 83–101). American Society of Civil Engineers.
- Pronk, A. C. (2005). The Huet-Sayegh model: A simple and excellent rheological model for master curves of asphaltic mixes. Proceedings of the R. Lytton Symposium on Mechanics of Flexible Pavements, 1-3 June, (pp. 73–82). American Society of Civil Engineers.
- Richardson, D., & Lusher, M. (2008). Determination of creep compliance and tensile strength of hot-mix asphalt for wearing courses in Missouri (Technical Report No. MoDOT OR08-018). Missouri University of Science and Technology, USA.
- Saboo, N., & Kumar, P. (2015). A study on creep and recovery behavior of asphalt binders. Construction and Building Materials, 96, 632–640. https://doi.org/https://doi.org/10.1016/j.conbuildmat.2015.08.078
- Sayegh, G. (1965). Contribution à l’étude des propriétés visco-élastiques des bitumes purs et des bétons bitumineux (Doctoral dissertation). Paris: Sorbonne University, France.
- Schapery, R. A., & Park, S. W. (1999). Methods of interconversion between linear viscoelastic material functions. Part II – An approximate analytical method. International Journal of Solids and Structures, 36(11), 1677–1699. https://doi.org/https://doi.org/10.1016/S0020-7683(98)00060-2
- Van der Loo, P. J. (1978). The creep test: A key tool in asphalt Mix evaluation and prediction of rutting. Proceedings of the Association of Asphalt Paving Technologists, 13-15 February, (Vol. 47, pp. 522–557). Association of Asphalt Paving Technologists.
- Xu, Q., & Solaimanian, M. (2009). Modelling linear viscoelastic properties of asphalt concrete by the Huet–Sayegh model. International Journal of Pavement Engineering, 10(6), 401–422. https://doi.org/https://doi.org/10.1080/10298430802524784
- Zhang, W., Cui, B., Gu, X., & Dong, Q. (2018). Comparison of relaxation modulus converted from frequency and time-dependent viscoelastic functions through numerical methods. Applied Sciences, 8, 2447. https://doi.org/https://doi.org/10.3390/app8122447