Abstract
The dynamic modulus of semi-rigid material is one of the important material parameters widely used in the design and evaluate of asphalt pavement, which has a great effect on the reliability, healthy condition and service life of pavement. To show the three-phase degradation process of dynamic modulus accurately and calculate the time-dependent reliability based on fatigue damage, the degradation models based on non-linear fatigue damage and improved Wei-bull distribution modulus degradation are established and testified in this paper, considering the threshold of normalized modulus. Then the reliability models based on the two above degradation process models are evaluated. Finally, the reliability analysis procedure is established using Monte Carlo (MC) method and the corresponding calculation is conducted using Matlab. Cement stabilized macadam is used as an example in this paper. Results show that non-linear fatigue damage and improved Wei-bull distribution modulus degradation models can indicate threephase degradation process of semi-rigid material modulus better and the reliability based on the proposed two models was more accurate to the actual situation.
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Busch, C., Thøgersen, F., and Henrichsen, A. (2006). “Development and validation of a mechanistic recursive-incremental deterioration model for cement-stabilized base courses.” 85th Annual Meeting of the Transportation-Research-Board., Transportat Res Board, Washington, DC, pp. 128–137.
Busch, C., Henrichsen, A., and Thøgersen F. (2006). “Establishing a mechanistic/incremental design method for semi-rigid pavements through HVS testing.” Pavement Mechanics and Performance, vol. 154, pp. 117–125, DOI: 10.1061/40866(198)15.
Chen, J. B. and Li, J. (2004). “Reliability analysis of stochastic structures based on probability density evolution method.” Chinese Journal of Computational Mechanics, vol. 21, no. 3, pp. 285–290, DOI: 10.3969/j.issn.1007-4708.2004.03.005.
Jia, K. (2008). Study on Fatigue Properties of Semi-rigid Base Material, Ph.D. Thesis. Chang’an University, Xi’an, China.
Jia, K., Sha, A. M., and Lu, J. Q. (2009). “Effective modulus value of semi-rigid base course materials.” Journal of Chang'an University, vol. 29, no. 1, pp. 15–19, DOI: 10.3321/j.issn:1671-8879.2009.01.004.
Jia, Y. S. (2016). Study on Reliability Evaluation of Asphalt Pavement Based on Modulus Degradation, M.S. Thesis. Chang’an University, Xi’an, China.
Judycki, J. (1997). “Comparison of fatigue criteria for flexible and Semi-Rigid pavements.” Applied Research Associates Inc. 8th International Conference on Asphalt Pavements., Applied Research Associates Inc, Toronto, pp. 38–57.
Lian, W. and Yao, W. X. (2008). “Residual stiffness and strength correlation model of composite laminated.” Journal of composite materials, vol. 25, no. 5, pp. 151–156, DOI: 10.13801/j.cnki.fhclxb.2008.05.021.
Lu, J. Q. (2007). Modulus decay of semi-rigid base material, M.S. Thesis. Chang’an University, Xi’an, China.
Packard, R. G. (1984). Thickness Design for Concrete Highway and Street Pavements. Portland Cement Association, Skokie, Illinois, USA.
Parmeggiani, G. and Merz, S. K. (2007). “Three-dimensional structural design of asphalt pavements.” AAPA Pavements Industry Conference, Sydney, Australia.
Pei, J. Z., Jia, Y. S., and Zhang, J. P. (2016). “Research progress and future development for reliability of asphalt pavement structure.” China Journal of Highway and Transport, vol. 29, no. 1, pp. 1–15.
Sha, A. M., Jia, K., and Lu, J. Q. (2009). “Deterioration laws of dynamic modulus of Semi-Rigid base course materials.” China Journal of Highway and Transport, vol. 22, no. 3, pp. 1–6, DOI: 10.3321/j.issn:1001-7372.2009.03.001.
Sha, A. M., Zhang, D. L., and Xu, Y. M. (1993). “Study on fatigue characteristics of stabilized grain of inorganic binder.” China Civil Engineering Journal, vol. 26, no. 1, pp. 68–73, DOI: 10.15951/j.tmgcxb.1993.01.009.
Thøgersen, F., Busch, C., and Henrichsen, A. (2004). Mechanistic Design of Semi-Rigid Pavements-an Incremental Approach. Danish Road Institute, Hedehusene.
Wang, J. M. and Zhao, K. (1998). “Study on fatigue properties of lime calcium added slag mixture.” Comprehensive Utilization of Fly Ash, no. 2, pp. 49–51.
Xu, Y. M., Zhang, D. L., and Sha A. M. (1994). “Road technical performance of lime stabilized graded gravel.” China Journal of Highway and Transport, vol. 7, no. 4, pp. 6–13.
Yang, X., You, Z. P., and Hiller, J. (2015). “Sensitivity of flexible pavement design to Michigan’s climatic inputs using pavement ME design.” International Journal of Pavement Engineering, vol. 18, no. 7, pp. 622–632, DOI: 10.1080/10298436.2015.1105373.
Zheng, J. L. (2014). “New concept of durable asphalt pavement design based on increasing structural layer life.” China Journal of Highway and Transport, vol. 27, no. 1, pp. 1–7, DOI: 10.3969/j.issn.1001-7372.2014.01.001.
Zhou, L. J. (2012). Research on Modulus of Attenuation and Inverse Calculation of Semi-Rigid Pavement, M. S. Thesis. Shan Dong University, Jinan, China.
Zhu, H. B. (2011). Method and Experiment Research on Highway Reinforced Concrete simply-supported Girder Bridge's Fatigue Residual Service Life Forecast, Ph.D Thesis. Central South University, Changsha, China.
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Zhang, J., Cui, S., Cai, J. et al. Life-Cycle Reliability Evaluation of Semi-Rigid Materials Based on Modulus Degradation Model. KSCE J Civ Eng 22, 2043–2054 (2018). https://doi.org/10.1007/s12205-018-0646-x
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DOI: https://doi.org/10.1007/s12205-018-0646-x