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Research Article

Probabilistic characterisation of transition points in three-stage permanent deformation curves using Bayesian inference approach

Article: 2141742 | Received 12 May 2022, Accepted 24 Oct 2022, Published online: 07 Nov 2022

References

  • Abed, A., Thom, N., and Neves, L, 2019. Probabilistic prediction of asphalt pavement performance. Road Materials and Pavement Design, 20 (Suppl. 1), S247–S264.
  • Akaike, H, 1983. On minimum information prior distributions. Annals of the Institute of Statistical Mathematics, 35, 139–149.
  • Alavi, A.H., et al., 2011. Formulation of flow number of asphalt mixes using a hybrid computational method. Construction and Building Materials, 25 (3), 1338–1355.
  • Ali, H.A., and Tayabji, S.D., 1998. Mechanistic evaluation of test data from LTPP flexible pavement test sections: Volume 1, Final Report. Federal highway administration Virginia, Report No. FHWA-RD-98-012.
  • Ameri, M., Sheikhmotevali, A.H., and Fasihpour, A, 2014. Evaluation and comparison of flow number calculation methods. Road Materials and Pavement Design, 15 (1), 182–206.
  • Anyala, M., Odoki, J.B., and Baker, C.J, 2014. Hierarchical asphalt pavement deterioration model for climate impact studies. International Journal of Pavement Engineering, 15 (3), 251–266.
  • Apeagyei, A.K, 2014. Flow number predictive models from volumetric and binder properties. Construction and Building Materials, 64, 240–245.
  • Bhasin, A., and Button, JW, 2004. Evaluation of simple performance tests on HMA mixtures from the South Central United States. Texas Department of Transportation and Federal Highway Administration, Report No. FHWA/TX-03/9-558-1.M.
  • Bonaquist, R., 2012. Evaluation of Flow Number (FN) as a Discriminating HMA Mixture Property. Wisconsin Department of Transportation, Report No. WHRP 12-01.
  • Box, G.E.P., and Tiao, G.C, 1992. Bayesian inference in statistical analysis. New York: Wiley.
  • Chou, Y.T., 1990. Reliability design procedures for flexible pavements. Proceedings of the thirty-sixth conference on the design of experiments in army research development and testing, Newark, 249–279.
  • Cowher, C.E., and Kennedy, T.W., 1975. Cumulative Damage of asphalt materials under repeated-load indirect tension. Texas Highway Department, Report No. 183–3.
  • Darter, M.I., and McCullough, B.F., 1972. Reliability concepts applied to the flexible pavement systems. 51st Annual Meeting of the Highway Research Board, Washington, DC, 146–161.
  • Deacon, J.A., and Monismith, C.L, 1967. Laboratory flexural-fatigue testing of asphalt-concrete with emphasis on compound-loading teets. Transportation Research Record, 158 (001), 31.
  • Gandomi, A.H., et al., 2011. Nonlinear genetic-based models for prediction of flow number of asphalt mixtures. Journal of Materials in Civil Engineering, 23 (3), 248–263.
  • Hoole, J., et al., 2019. Systematic statistical characterisation of stress-life datasets using 3-parameter distributions. International Journal of Fatigue, 129, 105216.
  • Jaynes, E, 1968. Prior probabilities. IEEE Transactions on Systems Science and Cybernetics, 4 (3), 227–241.
  • Jeffreys, H, 1945. An invariant form for the prior probability in estimation problems. Proceedings of the Royal Society of London, Series A, Mathematical and Physical Sciences, 186, 453–461.
  • Kassem, H., Chehab, G., and Najjar, S, 2019. Development of probabilistic viscoelastic continuum damage model for asphalt concrete. Transportation Research Record: Journal of the Transportation Research Board, 2673 (5), 285–298.
  • Kassem, H.A., Najjar, S.S., and Chehab, G.R, 2016. Probabilistic modeling of the inherent variability in the dynamic modulus master curve of asphalt concrete. Transportation Research Record: Journal of the Transportation Research Board, 2576 (1), 60–71.
  • Lee, S.-Y., and Song, X.-Y, 2004. Evaluation of the Bayesian and maximum likelihood approaches in analysing structural equation models with small sample sizes. Multivariate Behavioural Research, 39 (4), 653–686.
  • Lemoine, N.P, 2019. Moving beyond noninformative priors: why and how to choose weakly informative priors in Bayesian analyses. Oikos, 128 (7), 912–928.
  • Ling, J, 1997. A maximum likelihood method for estimating P-S-N curves. International Journal of Fatigue, 19 (5), 415–419.
  • Liu, H., et al., 2020. Development of two-step secant method to interpret the flow number test data of asphalt mixtures. Journal of Materials in Civil Engineering, 32 (4), 04020027.
  • Lv, Z., et al., 2015. A modified nonlinear fatigue damage accumulation model. International Journal of Damage Mechanics, 24 (2), 168–181.
  • Maji, A., and Das, A, 2008. Reliability considerations of bituminous pavement design by mechanistic-empirical approach. International Journal of Pavement Engineering, 9 (1), 19–31.
  • Miljkovic, M., and Radenberg, M., 2011. Rutting mechanisms and advanced laboratory testing of asphalt mixtures resistance against permanent deformation. Facta universitatis - series: Architecture and Civil Engineering, 9 (3), 407–417.
  • Mirzahosseini, M., et al., 2015. Next-generation models for evaluation of the flow number of asphalt mixtures. International Journal of Geomechanics, 15 (6), 04015009.
  • Nomura, S., et al., 2011. Bayesian forecasting of recurrent earthquakes and predictive performance for a small sample size. Journal of Geophysical Research, 116 (B4), B04315.
  • Ouni, A.E., Dony, A., and Colin, J, 2014. Probabilistic parametric approach for rutting evaluation: application to hot and warm asphalt. International Journal of Pavement Engineering, 15 (1), 58–65.
  • Porter, B.W., and Kennedy, T.W., 1975. Comparison of fatigue test methods for asphalt materials. Texas: Texas Highway Department and Federal Highway Administration, Report No. 183–4.
  • Rathod, V., et al., 2011. Probabilistic modeling of fatigue damage accumulation for reliability prediction. International Journal of Quality, Statistics, and Reliability, 2011, 1–10.
  • Rushing, J.F., and Little, DN, 2014. Static creep and repeated load as rutting performance tests for airport HMA mix design. Journal of Materials in Civil Engineering, 26 (9), 04014055.
  • Sahu, SK, and Smith, T.M.F, 2006. A Bayesian method of sample size determination with practical applications. Journal of the Royal Statistical Society: Series A (Statistics in Society), 169 (2), 235–253.
  • Sharma, H., and Swamy, A.K, 2016. Development of probabilistic fatigue curve for asphalt concrete based on viscoelastic continuum damage mechanics. International Journal of Pavement Research and Technology, 9 (4), 270–279.
  • Singh, P., and Swamy, A.K, 2018. Probabilistic approach to characterise laboratory rutting behaviour of asphalt concrete mixtures. International Journal of Pavement Engineering, 21 (3), 1–13.
  • Singh, P., and Swamy, A.K, 2019. Probabilistic characterisation of damage characteristic curve of asphalt concrete mixtures. International Journal of Pavement Engineering, 20 (6), 659–668.
  • Sousa, J.B, 1991. Summary report on permanent deformation in asphalt concrete. Berkley: University of California. No. SHRP-A/IR-91-104.
  • Witczak, M.W., 2002. Simple performance test for superpave mix design. Washington, DC, NCHRP Report 465.
  • Xie, L., et al., 2014. Backwards statistical inference method for P–S–N curve fitting with small-sample experiment data. International Journal of Fatigue, 63, 62–67.
  • Xiong, J.J., and Shenoi, R.A, 2006. Single-point likelihood method to determine a generalised S-N surface. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 220 (10), 1519–1529.
  • Zhao, Y.X., and Liu, H.B, 2014. Weibull modeling of the probabilistic S–N curves for rolling contact fatigue. International Journal of Fatigue, 66, 47–54.

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