Precision Analysis of Sigmoidal Master Curve Model for Dynamic Modulus of Asphalt Mixtures
Publication: Journal of Materials in Civil Engineering
Volume 30, Issue 11
Abstract
The sigmoidal master curve model can be used to obtain the value of dynamic modulus of asphalt mixtures at a high or low temperature, which cannot be obtained directly from laboratory tests. However, some studies indicated that the precision of this model should be investigated at a high temperature. Therefore, the objective of this study was to analyze the prediction precision of the sigmoidal master curve model on dynamic modulus of asphalt mixtures and find out the critical factors influencing the prediction precision for further calibration of the sigmoidal model. A database of dynamic modulus values, including different aggregate sources, types of layers, contents of reclaimed asphalt pavements (RAPs), antistripping agent types, warm additives, and aging states, was used for the analysis. Firstly, single-factor analysis was conducted with the analysis of variance (ANOVA) table. Furthermore, the interaction among variables was analyzed through coupling analysis by the software Minitab 17. The results indicate the temperature has an influence on two-factor and three-factor interactions. For further study, the sigmoidal master curve model should be calibrated by introducing new variables to improve its accuracy.
Get full access to this article
View all available purchase options and get full access to this article.
References
AASHTO. 2011. Standard method of test for determining dynamic modulus of hot mix asphalt concrete mixtures. AASHTO TP342-11. Washington, DC: AASHTO.
AASHTO. 2015. Standard practice for developing dynamic modulus master curves for asphalt mixtures using the asphalt mixture performance tester (AMPT). AASHTO-R84-17. Washington, DC: AASHTO.
Amirkhanian, S., F. Xiao, and M. Corley. 2015. Characterization of asphalt concrete dynamic modulus in South Carolina. Columbia, SC: South Carolina Dept. of Transportation.
ASTM. 1996. Standard test method for dynamic Young’s modulus, shear modulus, and Poisson’s ratio by impulse excitation or vibration. E1876. West Conshohocken, PA: ASTM.
Bonaquist, R. 2008. Refining the simple performance tester for use in routine practice. Washington, DC: Transportation Research Board.
Buttlar, W. G., and R. Roque. 1996. “Evaluation of empirical and theoretical models to determine asphalt mixture stiffnesses at low temperatures.” Asphalt Paving Technol. 65: 99–141.
Christensen, D. W., Jr., T. Pellinen, and R. F. Bonaquist. 2003. “Hirsch model for estimating the modulus of asphalt concrete.” Asphalt Paving Technol. 72: 97–121.
Counto, U. J. 1964. “The effect of the elastic modulus of the aggregate on the elastic modulus, creep and creep recovery of concrete.” Mag. Concr. Res. 16 (48): 129–138. https://doi.org/10.1680/macr.1964.16.48.129.
Dai, Q., M. H. Sadd, and Z. You. 2010. “A micromechanical finite element model for linear and damage-coupled viscoelastic behaviour of asphalt mixture.” Int. J. Numer. Anal. Methods Geomech. 30 (11): 1135–1158. https://doi.org/10.1002/nag.520.
Donner, A. 1986. “A review of inference procedures for the intraclass correlation coefficient in the one-way random effects model.” Int. Stat. Rev. 54 (1): 67–82. https://doi.org/10.2307/1403259.
Frenzel, S., and B. Pompe. 2007. “Partial mutual information for coupling analysis of multivariate time series.” Phys. Rev. Lett. 99 (20): 204101. https://doi.org/10.1103/PhysRevLett.99.204101.
Gueorguieva, R. 2004. “Move over ANOVA.” Arch. Gen. Psychiatry 61 (3): 310–317. https://doi.org/10.1001/archpsyc.61.3.310.
Han, S. H., and J. K. Kim. 2004. “Effect of temperature and age on the relationship between dynamic and static elastic modulus of concrete.” Cem. Concr. Res. 34 (7): 1219–1227. https://doi.org/10.1016/j.cemconres.2003.12.011.
Hastie, R. L., and D. H. Morris. 1992. “The effect of physical aging on the creep response of a thermoplastic composite.” In High temperature and environmental effects in polymer matrix composites, ASTM STP 1174, edited by C. Harris and T. Gates, 163–185. Philadelphia: American Society for Testing and Materials.
Hirsch, T. J. 1962. “Modulus of elasticity of concrete affected by elastic moduli of cement paste matrix and aggregate.” J. Proc. 59 (3): 427–452.
Huang, B., G. Li, and L. N. Mohammad. 2003. “Analytical modeling and experimental study of tensile strength of asphalt concrete composite at low temperatures.” Composites Part B 34 (8): 705–714. https://doi.org/10.1016/S1359-8368(03)00079-9.
Johansen, S. 1991. “Estimation and hypothesis testing of cointegrated vectors in Gaussian vector autoregressive models.” Econometrica 59 (6): 1551–1580. https://doi.org/10.2307/2938278.
Kim, Y. R., and D. N. Little. 2004. “Linear viscoelastic analysis of asphalt mastics.” J. Mater. Civ. Eng. 16 (2): 122–132. https://doi.org/10.1061/(ASCE)0899-1561(2004)16:2(122).
Li, G., Y. Li, J. B. Metcalf, and S. S. Pang. 1999. “Elastic modulus prediction of asphalt concrete.” J. Mater. Civ. Eng. 11 (3): 236–241. https://doi.org/10.1061/(ASCE)0899-1561(1999)11:3(236).
Luo, S., Z. D. Qian, and J. Harvey. 2010. “Research on dynamic modulus for epoxy asphalt mixtures and its master curve.” China J. Highw. Trans. 23 (6): 16–20.
Pellinen, T. K., M. W. Witczak, M. Marasteanu, G. Chehab, S. Alavi, and R. Dongré. 2002. “Stress dependent master curve construction for dynamic (complex) modulus.” Asphalt Paving Technol. 71: 281–309.
Roque, R., B. Birgisson, M. Tia, and B. Nukunya. 2002. Evaluation of superpave (trademark) criteria for VMA and fine aggregate angularity: Aggregate gradation. Gainesville, FL: Univ. of Florida.
Shashidhar, N., and A. Shenoy. 2002. “On using micromechanical models to describe dynamic mechanical behavior of asphalt mastics.” Mech. Mater. 34 (10): 657–669. https://doi.org/10.1016/S0167-6636(02)00166-7.
Shu, X., and B. Huang. 2008a. “Dynamic modulus prediction of HMA mixtures based on the viscoelastic micromechanical model.” J. Mater. Civ. Eng. 20 (8): 530–538. https://doi.org/10.1061/(ASCE)0899-1561(2008)20:8(530).
Shu, X., and B. Huang. 2008b. “Micromechanics-based dynamic modulus prediction of polymeric asphalt concrete mixtures.” Composites Part B 39 (4): 704–713. https://doi.org/10.1016/j.compositesb.2007.05.003.
Shu, X., and B. Huang. 2009. “Predicting dynamic modulus of asphalt mixtures with differential method.” Road Mater. Pavement Des. 10 (2): 337–359. https://doi.org/10.1080/14680629.2009.9690198.
Wang, D. C. 2016. “Study on influencing factors of dynamic modulus of asphalt mixture.” Highway Transp. Inner Mongolia 5: 001.
Witczak, M. W., T. K. Pellinen, and M. M. Elbasyouny. 2002. “Pursuit of the simple performance test for asphalt concrete fracture/cracking.” J. Assoc. Asphalt Paving Technol. 71: 767–778.
Xiao, F., S. Amirkhanian, and Z. Luo. 2016. “Performance properties of alternative polymerized asphalt mixtures containing various antistripping additives.” J. Mater. Civ. Eng. 28 (8): 04016050. https://doi.org/10.1061/(ASCE)MT.1943-5533.0001566.
Xiao, L. I., N. X. Liang, and L. Chen. 2014. “Dynamic modulus and time-temperature equivalence equation of asphalt concrete.” J. Changan Univ. 34 (3): 35–40.
You, Z., and W. G. Buttlar. 2004. “Discrete element modeling to predict the modulus of asphalt concrete mixtures.” J. Mater. Civ. Eng. 16 (2): 140–146. https://doi.org/10.1061/(ASCE)0899-1561(2004)16:2(140).
Zhang, J., J. Pei, and B. Wang. 2010. “Research on time-temperature-stress equivalence principle for asphalt mixture.” In Proc., 10th Int. Conf. of Chinese Transportation Professionals. Beijing: Chinese Transportation Professionals.
Information & Authors
Information
Published In
Journal of Materials in Civil Engineering
Volume 30 • Issue 11 • November 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: Oct 13, 2017
Accepted: Apr 2, 2018
Published online: Aug 21, 2018
Published in print: Nov 1, 2018
Discussion open until: Jan 21, 2019
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.