Evolution of complex modulus and higher harmonics of stress response of asphalt concrete in strain-controlled four-point beam fatigue tests

References

• AASHTO R30, 2015. Standard practice for mixture conditioning of hot-mix asphalt (HMA). Washington, DC: American Association of State and Highway Transportation Officials.
   Google Scholar
• AASHTO T321, 2003. Standard method of test for determining the fatigue life of compacted asphalt mixtures subjected to repeated flexural bending. Washington, DC: American Association of State and Highway Transportation Officials.
   Google Scholar
• AASHTO T321, 2017. Standard method of test for determining the fatigue life of compacted asphalt mixtures subjected to repeated flexural bending. Washington, DC: American Association of State and Highway Transportation Officials.
   Google Scholar
• AASHTO T342, 2011. Standard method of test for determining dynamic modulus of hot mix asphalt (HMA). Washington, DC: American Association of State and Highway Transportation Officials.
   Google Scholar
• Abhijith, B.S., and Atul Narayan, S.P., 2020. Evolution of the modulus of asphalt concrete in four-point beam fatigue tests. Journal of Materials in Civil Engineering, 32 (10), 04020310.
   Web of Science ®Google Scholar
• Al-Khateeb, G., and Shenoy, A., 2011. A simple quantitative method for identification of failure due to fatigue damage. International Journal of Damage Mechanics, 20 (1), 3–21.
   Web of Science ®Google Scholar
• ASTM D6373, 2016. Standard specification for performance graded asphalt binder. West Conshohocken, PA: ASTM International.
   Google Scholar
• ASTM D7460, 2010. Standard test method for determining fatigue failure of compacted asphalt concrete subjected to repeated flexural bending. West Conshohocken, PA: ASTM International.
   Google Scholar
• ASTM D7981, 2015. Standard practice for compaction of prismatic asphalt specimens by means of the shear box compactor. West Conshohocken, PA: ASTM International.
   Google Scholar
• ASTM D8237, 2018. Standard test method for determining fatigue failure of asphalt-aggregate mixtures with the four-point beam fatigue device. West Conshohocken, PA: ASTM International.
   Google Scholar
• Carpenter, S.H., and Shen, S., 2006. Dissipated energy approach to study hot-mix asphalt healing in fatigue. Transportation Research Record, 1970 (1), 178–185.
   Google Scholar
• Castelo Branco, V.T., et al., 2008. Fatigue analysis of asphalt mixtures independent of mode of loading. Transportation Research Record, 2057 (1), 149–156.
   Google Scholar
• Chazeau, L., et al., 2000. Modulus recovery kinetics and other insights into the payne effect for filled elastomers. Polymer Composites, 21 (2), 202–222.
   Web of Science ®Google Scholar
• Cziep, M., et al., 2016. Effect of molecular weight, polydispersity, and monomer of linear homopolymer melts on the intrinsic mechanical nonlinearity qo (ω) in MAOS. Macromolecules, 49 (9), 3566–3579.
   Web of Science ®Google Scholar
• Fritsch, F.N., and Carlson, R.E., 1980. Monotone piecewise cubic interpolation. SIAM Journal on Numerical Analysis, 17 (2), 238–246.
   Web of Science ®Google Scholar
• González, E., et al., 2016. Rheological characterization of EVA and HDPE polymer modified bitumens under large deformation at 20 ∘C. Construction and Building Materials, 112, 756–764.
   Web of Science ®Google Scholar
• Gulzar, S., and Underwood, B.S., 2020. Nonlinear viscoelastic response of crumb rubber modified asphalt binder under large strains. Transportation Research Record, 2674 (3), 139–149.
   Web of Science ®Google Scholar
• Gupta, R., and Atul Narayan, S.P., 2019. Tensile creep of asphalt concrete in repeated loading tests and its effect on energy dissipation. International Journal of Pavement Engineering, 22 (7), 927–939.
   Web of Science ®Google Scholar
• Hirschberg, V., et al., 2019. Fatigue analysis of brittle polymers via Fourier transform of the stress. Mechanics of Materials, 137, 103100.
   Web of Science ®Google Scholar
• Hirschberg, V., Wilhelm, M., and Rodrigue, D., 2017. Fatigue behavior of polystyrene (ps) analyzed from the fourier transform (ft) of stress response: First evidence of i2/1 (n) and i3/1 (n) as new fingerprints. Polymer Testing, 60, 343–350.
   Web of Science ®Google Scholar
• Hirschberg, V., Wilhelm, M., and Rodrigue, D., 2018. Fatigue life prediction via the time-dependent evolution of linear and nonlinear mechanical parameters determined via fourier transform of the stress. Journal of Applied Polymer Science, 135 (33), 46634.
   Web of Science ®Google Scholar
• Hirschberg, V., Wilhelm, M., and Rodrigue, D., 2020. Cumulative nonlinearity as a parameter to quantify mechanical fatigue. Fatigue and Fracture of Engineering Materials and Structures, 43 (2), 265–276.
   Web of Science ®Google Scholar
• Hyun, K., et al., 2011. A review of nonlinear oscillatory shear tests: Analysis and application of large amplitude oscillatory shear (laos). Progress in Polymer Science, 36 (12), 1697–1753.
   Web of Science ®Google Scholar
• IS 2386, 1963. Methods of test for aggregates for concrete. New Delhi: Bureau of Indian Standards.
   Google Scholar
• IS 73, 2013. Specifcations for paving bitumen. New Delhi: Bureau of Indian Standards.
   Google Scholar
• Kim, Y.R., Little, D., and Lytton, R., 2003. Fatigue and healing characterization of asphalt mixtures. Journal of Materials in Civil Engineering, 15 (1), 75–83.
   Web of Science ®Google Scholar
• Kim, J., Roque, R., and Birgisson, B., 2006. Interpreting dissipated energy from complex modulus data. Road Materials and Pavement Design, 7 (2), 223–245.
   Web of Science ®Google Scholar
• Komatsu, S., Takahara, A., and Kajiyama, T., 2003. Effect of cyclic fatigue conditions on nonlinear dynamic viscoelasticity and fatigue behaviors for short glass-fiber reinforced nylon6. Polymer Journal, 35 (11), 844–850.
   Web of Science ®Google Scholar
• Kutay, M.E., Gibson, N.H., and Youtcheff, J., 2008. Conventional and viscoelastic continuum damage (VECD)-based fatigue analysis of polymer modified asphalt pavements (with discussion). Journal of the Association of Asphalt Paving Technologists, 77, 395–434.
   Google Scholar
• Li, N., et al., 2013. Comparison of uniaxial and four-point bending fatigue tests for asphalt mixtures. Transportation Research Record: Journal of the Transportation Research Board, 2373 (1), 44–53.
   Google Scholar
• Liang, T., et al., 1996. Relationships between nonlinear dynamic viscoelasticity and fatigue behaviors of glassy polymer under various fatigue test conditions. Polymer Bulletin, 36 (4), 477–482.
   Web of Science ®Google Scholar
• Lundstrom, R., Di Benedetto, H., and Isacsson, U., 2004. Influence of asphalt mixture stiffness on fatigue failure. Journal of Materials in Civil Engineering, 16 (6), 516–525.
   Web of Science ®Google Scholar
• Mannan, U., Islam, M., and Tarefder, R., 2015. Effects of recycled asphalt pavements on the fatigue life of asphalt under different strain levels and loading frequencies. International Journal of Fatigue, 78, 72–80.
   Web of Science ®Google Scholar
• Masad, E., et al., 2008. A unified method for the analysis of controlled-strain and controlled-stress fatigue testing. International Journal of Pavement Engineering, 9 (4), 233–246.
   Google Scholar
• Mollenhauer, K., Wistuba, M., and Rabe, R., 2009. Loading frequency and fatigue: In situ conditions and impact on test results. In: 2nd Workshop on four point bending, Pais.
   Google Scholar
• MoRTH, 2001. Specification for road and bridge works (Fourth Revision). New Delhi: Ministry of Road Transport and Highways, Indian Roads Congress.
   Google Scholar
• Reese, R., 1997. Properties of aged asphalt binder related to asphalt concrete fatigue life. Journal of the Association of Asphalt Paving Technologists, 66, 604–632.
   Google Scholar
• Rowe, G.M., and Bouldin, M.G., 2000. Improved techniques to evaluate the fatigue resistance of asphaltic mixtures. In: 2nd Eurasphalt & Eurobitume congress Barcelona. vol. 2000.
   Google Scholar
• Shan, L., et al., 2018. Nonlinear rheological behavior of bitumen under LAOS stress. Journal of Rheology, 62 (4), 975–989.
   Web of Science ®Google Scholar
• Shan, L., et al., 2020. Effect of styrene-butadiene-styrene (SBS) on the rheological behavior of asphalt binders. Construction and Building Materials, 231, 117076.
   Web of Science ®Google Scholar
• Si, Z., Little, D., and Lytton, R., 2002. Characterization of microdamage and healing of asphalt concrete mixtures. Journal of Materials in Civil Engineering, 14 (6), 461–470.
   Web of Science ®Google Scholar
• Tarefder, R.A., Bateman, D., and Swamy, A.K., 2013. Comparison of fatigue failure criterion in flexural fatigue test. International Journal of Fatigue, 55, 213–219.
   Web of Science ®Google Scholar
• Varma, K.R., et al., 2016. Influence of post-processing methods for ranking of fatigue life of bituminous mixture. Transportation Research Procedia, 17, 567–575.
   Google Scholar
• Varma, K.R., Atul Narayan, S.P., and Krishnan, J.M., 2019. Quantification of viscous and fatigue dissipation of asphalt concrete in four-point bending tests. Journal of Materials in Civil Engineering, 31 (12), 04019285.
   Web of Science ®Google Scholar
• Wilhelm, M., et al., 2000. The crossover between linear and non-linear mechanical behaviour in polymer solutions as detected by fourier-transform rheology. Rheologica Acta, 39 (3), 241–246.
   Web of Science ®Google Scholar
• Wilhelm, M., Reinheimer, P., and Ortseifer, M., 1999. High sensitivity fourier-transform rheology. Rheologica Acta, 38 (4), 349–356.
   Web of Science ®Google Scholar
• Zhang, J., 2012. Development of failure criteria for asphalt concrete mixtures under fatigue loading. Thesis (PhD). Master thesis. Raleigh, NC: North Carolina State University.
   Google Scholar
• Ziari, H., Babagoli, R., and Akbari, A., 2015. Investigation of fatigue and rutting performance of hot mix asphalt mixtures prepared by bentonite-modified bitumen. Road Materials and Pavement Design, 16 (1), 101–118.
   Web of Science ®Google Scholar