TEMPERATURE-DEPENDENT RELATIONSHIP BETWEEN INDIRECT TENSILE STRENGTH AND STIFFNESS MODULUS OF SBS-MODIFIED ASPHALT MIXTURES
Abstract
This study investigated the temperature-dependent relationship between indirect tensile strength (ITS) and indirect tensile stiffness modulus (ITSM) in styrene–butadiene–styrene (SBS) polymer-modified asphalt mixtures using a PG 76-22 binder. Cylindrical specimens were tested at four temperatures (20, 30, 40, and 50°C) to evaluate their tensile resistance and stiffness. The results show that both ITS and ITSM decrease markedly with increasing temperature, reflecting a reduction in binder viscosity and a weakening of aggregate interlock. Statistical analysis confirmed a strong positive correlation (r = 0.914, p < 0.001) between ITS and ITSM, with linear regression (R² = 0.9045) indicating that ITS is a reliable predictor of ITSM. An analysis of variance showed that temperature had significant effects on ITS and ITSM. These findings highlight the coupled mechanical behavior of ITS and ITSM, supporting their integration into mechanistic-empirical pavement design and performance-based mix evaluation. The study reinforces the role of SBS modification in enhancing thermal resilience and provides a practical framework for predicting stiffness modulus from tensile strength under varying thermal conditions.
References
Moghaddam, T. B., Karim, M. R., Abdelaziz, M. (2011). A review of fatigue and rutting performance of asphalt mixes. Scientific Research and Essays, 6(4), 670–682. https://doi.org/10.5897/SRE10.946.
Saq, M. A., Alkuime, H., Kassem, E. (In Press, Corrected Proof). Intermediate-temperature cracking performance evaluation of asphalt mixtures. International Journal of Transportation Science and Technology, https://doi.org/10.1016/ j.ijtst.2025.03.008
Boussabnia, M. B., Perraton, D., Lamothe, S., Di Benedetto, H., Proteau, M., Pouteau, B. (2023).Temperature effect on fatigue behavior of high-modulus asphalt concrete (HMAC), Construction and Building Materials, 409, 134006, https://doi.org/10.1016/ j.conbuildmat.2023.134006
Ling, M., Cui, Y., Chen, H., Yang, M., Walubita, L. F., Komba, J. J., Fuentes, L., Xu, S. (2025). Establishing asphalt layer rutting–fatigue cracking performance thresholds for balanced mix design based on viscoelastic properties. International Journal of Pavement Engineering, 26(1), 2555993. https://doi.org/10.1080/10298436.2025.2555993
Yardım, M. S., Şitilbay, B. D., Yılmaz, M. O. (2024). Experimental investigation of indirect tensile strength of hot mix asphalt with varying hydrated lime content at low temperatures and prediction with soft-computing models. Buildings, 14(11), 3569. https://doi.org/10.3390/buildings14113569
Li, X., Lv, X., Liu, X., Ye, J. (2019). Discrete element analysis of indirect tensile fatigue test of asphalt mixture. Applied Sciences, 9(2), 327. https://doi.org/10.3390/app9020327
Wu, S., Xu, G., Yang, J., Yang, R., Zhu, J. (2020). Investigation on indirect tensile test of asphalt mixture based on the discrete element method. Journal of Testing and Evaluation, 48(3), 2345–2361. https://doi.org/10.1520/JTE20190532
Baskara, G. M. B., Ahyudanari, E., Thanaya, I. N. A. (2019). Analysis of stiffness modulus of asphalt concrete mixture by using artificial aggregates. Jurnal Teknik ITS, 8(2). https://doi.org/10.12962/j23373539.v8i2.49666
Husni, M. A., Karyawan, I. D. M. A., Sideman, I. A. O. (2025). Indirect tensile stiffness modulus (ITSM) analysis of Asbuton mixture with used oil additives and HDPE. Indonesian Journal of Multidisciplinary Science, 4(11). https://doi.org/10.55324/ijoms.v4i11.1184
Fahad, M., Nagy, R. Finite element modelling and indirect tensile strength of SBS and CR modified asphalt mixtures. (2025). Discover Applied Science 7(80). https://doi.org/10.1007/s42452-025-06463-x
Rahman, T., Suhendro, B., Hardiyatmo, H. C., Sartono, W., Nawangalam, P. (2022). Airfield asphalt overlay design for non-conventional pavement structures: A case study of an airport in Indonesia. Journal of the Civil Engineering Forum, 8(2), 125–138. https://doi.org/10.22146/jcef.3771
Thom, N. H. (2014). Principles of Pavement Engineering. ICE Publishing.
Brown, S., F. (1987). An introduction to the analytical design of bituminous pavements. 3rd ed. University of Nottingham, Department of Civil Engineering.
Huang, Y. H. (2004). Pavement Analysis and Design. Pearson Prentice Hall.
Lee, J. S., Lee, S. Y., Le, T. H. M. (2023). Developing performance-based mix design framework using asphalt mixture performance tester and mechanistic models. Polymers 15(7), 1692. https://doi.org/10.3390/polym15071692.
Khan, M. A., Khan, M. S., Nasir, B., Sabri, M. M. S., Ahmad, M., Qamar, W., Gonzalez-Lezcano, R. A. (2024). Performance optimization of asphalt pavements using binder film thickness as a criterion in innovative mix design compared to Marshall and Superpave methods. Frontiers in Materials, 11, 1488310. https://doi.org/10.3389/fmats.2024.1488310.
Airey, G. D. (2003). Rheological properties of styrene butadiene styrene polymer modified bitumens. Fuel, 82(14), 1709–1719. https://doi.org/10.1016/S0016-2361(03)00146-7
and dynamic indirect tensile tests. Arabian Journal for Science and Engineering, 42(2), 703–713. https://doi.org/10.1007/s13369-016-2380-3.
Wu, R., Harvey, J. T., Lea, J. (2022). A new approach to calibration and use of mechanistic-empirical design methods. In: Di Benedetto, H., Baaj, H., Chailleux, E., Tebaldi, G., Sauzéat, C., Mangiafico, S. (Eds.) Proceedings of the RILEM international symposium on bituminous materials. ISBM 2020. RILEM Bookseries, vol. 27. Springer, Cham. https://doi.org/10.1007/978-3-030-46455-4_13
Airey, G. D. (2004). Styrene butadiene styrene polymer modification of road bitumens. Journal of Materials Science 39, 951–959. https://doi.org/10.1023/B:JMSC.0000012927.00747.83
Lu, X., Isacsson, U. (1997). Influence of styrene-butadiene-styrene polymer modification on bitumen viscosity. Fuel, 76, 1353-1359. https://doi.org/10.1016/S0016-2361(97)00144-0
