Forthcoming

An efficient algorithm for determining the Huet-Sayegh viscoelastic model parameters based on creep compliance data

Author affiliations

Authors

  • H.T. Tai Nguyen \(^1\) Faculty of Civil Engineering, Ho Chi Minh City University of Technology and Engineering, Ho Chi Minh City, Vietnam https://orcid.org/0000-0003-3257-3535
  • Tien Tho Do \(^1\) Faculty of Civil Engineering, Ho Chi Minh University of Technology and Education, Ho Chi Minh City, Vietnam https://orcid.org/0009-0006-7931-0088
  • David Hernando \(^2\) Department of Construction Engineering, University of Antwerp, Antwerp, Belgium
  • Thi Hang Nguyen \(^3\) Institute of Architecture, Construction and Transportation Training, Thu Dau Mot University, Ho Chi Minh City, Vietnam https://orcid.org/0009-0006-8146-9899

DOI:

https://doi.org/10.15625/0866-7136/23801

Keywords:

Huet-Sayegh model, parameter identification, asphalt mixtures, creep compliance, time domain

Abstract

The Huet-Sayegh (HS) model is a well-known rheological model in pavement engineering for its excellence in predicting the linear viscoelastic (LVE) behavior of asphaltic materials. With the traditional approach, the model parameters are identified by minimizing the error between the predicted and experimental complex modulus data obtained in frequency domain. However, with the advancement of testing techniques, it is beneficial to characterize the LVE behavior directly in time domain. Consequently, there is a growing demand for determining the LVE model parameters based on time-domain data. A major challenge in applying the HS model in time domain is the lack of an exact theoretical expression for its creep compliance function, making the parameter identification much cumbersome with conventional trial-and-error approaches. This paper proposes an efficient algorithm to address this challenge. The obtained results showed that the parameters of the HS model can be determined with high accuracy and within reasonable computational times.

Downloads

Download data is not yet available.

References

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(2), 285–315. https://doi.org/10.1080/14680629.2007.9690076

Heck, J. V. (2001). Modélisation des déformations réversibles et étude des déformations permanentes des enrobés bitumineux: Application à l’orniérage des chaussées [PhD Thesis]. Ecole Centrale de Nantes.

Nguyen, H. T. T., Do, T. T., Tran, V. T., Phan, T. N., Pham, T. A., & Nguyen, M. L. (2021). Determination of creep compliance of asphalt mixtures at intermediate and high temperature using creep-recovery test. Road Materials and Pavement Design, 22(sup1), S514–S535. https://doi.org/10.1080/14680629.2021.1908407

Nguyen, H. T. T., Nguyen, D. L., Tran, V. T., & Nguyen, M. L. (2022). Finite element implementation of Huet-Sayegh and 2S2P1D models for analysis of asphalt pavement structures in time domain. Road Materials and Pavement Design, 23(1), 22–46. https://doi.org/10.1080/14680629.2020.1809501

Nguyen, H. T. T., Tu, T. V., Phan, V.-R., & Phan, B.-G. (2020). 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 (pp. 207–219). Springer International Publishing. https://doi.org/10.1007/978-3-030-61118-7_18

Nguyen, N. H., Do, T. T., Phan, T. N., Nguyen, H. T. T., & Nguyen, M. L. (2026). Development of a novel theoretical framework for characterizing the linear viscoelastic and permanent deformation behavior in three dimensions of asphalt mixtures from creep-recovery test data. Journal of Materials in Civil Engineering.

Nguyen, V. T., Hornych, P., Bodin, D., Piau, J. M., & Saint-Laurent, D. (2008). CESAR-LCPC: Version Recherche – Le Module CVCR.

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(2), 185–224. https://doi.org/10.1080/14680629.2003.9689946

Phan, T. N., Nguyen, D. L., Vu, T. V., Tran, V. T., Nguyen, H. T. T., & Nguyen, M. L. (2022). Determining with high accuracy the relaxation modulus and creep compliance of asphaltic materials in form of sum of exponential functions from mathematical master curves of dynamic modulus. Journal of Materials in Civil Engineering, 34(9). https://doi.org/10.1061/(asce)mt.1943-5533.0004366

Phan, T. N., & Nguyen, H. T. T. (2025). Characterising the linear viscoelastic properties in the time domain of asphalt mixtures using creep-recovery test. Proceedings of the 4th Annual International Conference on Material, Machines, and Methods for Sustainable Development (MMMS2024).

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, 73–82. https://doi.org/10.1061/40825(185)8

Sayegh, G. (1965). Contribution à l’étude des propriétés visco-élastiques des bitumes purs et des bétons bitumineux [PhD Thesis]. Sorbonne University.

Tran, V.-T., Phan, T.-N., Tran, V.-T., Do, T.-T., Nguyen, H. T. T., & Nguyen, M. L. (2023). Development of a generalised creep-recovery test and a back-calculation method for determining the permanent deformation of asphalt mixtures in the time domain. Road Materials and Pavement Design, 24(sup1), 55–74. https://doi.org/10.1080/14680629.2023.2180291

Tschoegl, N. W. (1989). The Phenomenological Theory of Linear Viscoelastic Behavior: An Introduction. Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-73602-5

Downloads

Published

30-05-2026

How to Cite

Nguyen, H. T., Do, T. T., Hernando, D., & Nguyen, T. H. (2026). An efficient algorithm for determining the Huet-Sayegh viscoelastic model parameters based on creep compliance data. Vietnam Journal of Mechanics. https://doi.org/10.15625/0866-7136/23801

Issue

Section

Research Article

Categories

Funding data

Most read articles by the same author(s)