Prediction Method of Long-Term Mechanical Behavior of Largely Deformed Sand Asphalt with Constant Loading Creep Tests
Publication: Journal of Engineering Mechanics
Volume 138, Issue 12
Abstract
Because of large pronounced deformation in the compressive creep process of soft sand asphalt, it is necessary that both the true stress and true strain are measured. Accordingly, instead of fictitious creep compliance (FCC), true creep compliance (TCC) relating the true strain to the true stress is used to characterize the viscoelastic properties of sand asphalt in this paper. The relationship between TCC and FCC is described by a second-kind Volterra integral equation (VIE). A prediction method of long-term mechanical behavior of largely deformed sand asphalt with constant loading creep tests is proposed. In this method, the FCC master curves are constructed based on the time-temperature superposition principle, and then the linear VIE from the FCC to the TCC is solved with the collocation method, and the nonlinear VIE from the TCC to the FCC is solved with an iterative formula. Unconstrained compressive creep tests for 3,600 s were conducted on sand asphalt mixture samples in various temperature and nominal stress conditions. As an application example, the long-term creep behavior of sand asphalt at the given reference temperature is predicted with the proposed method.
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Acknowledgments
This work is supported by the National Natural Science Foundation of China (Grant No. 10872073) and National Basic Research Program of China (973 Program: 2011CB013800).
References
Anderssen, R. S., Davies, A. R., and de Hoog, F. R. (2008). “On the Volterra integral equation relating creep and relaxation.” Inverse Probl., 24(3), 035009–035013.
Atkinson, K. E. (1997). The numerical solution of integral equations of the second kind, Cambridge University Press, Cambridge, U.K.
Brunner, H. (2004). Collocation methods for Volterra integral and related functional differential equations, Cambridge University Press, Cambridge, U.K.
Courant, R. (1988). Differential and integral calculus, 2nd Ed., Interscience, New York.
Fung, Y. (1993). Biomechanics: Mechanical properties of living tissues, 2nd Ed., Springer, New York.
Golbabai, A., and Seifollahi, S. (2006). “An iterative solution for the second kind integral equations using radial basis functions.” Appl. Math. Comput., 181(2), 903–907.
Gradowczyk, M. H., Moavenzadeh, F., and Soussou, J. E. (1969). “Characterization of linear viscoelastic materials tested in creep and relaxation.” J. Appl. Phys., 40(4), 1783–1788.
Kincaid, D. R., and Cheney, E. W. (2002). Numerical analysis: Mathematics of scientific computing, 3rd Ed., Brooks/Cole, Pacific Grove, CA.
Knauss, W. G., Emri, I., and Lu, H. (2008). “Mechanics of Polymers: Viscoelasticity.” Chapter 3, Springer handbook of experimental solid mechanics (DVD-ROM), N. S. William, ed., Springer, New York, 49–96.
Kontou, E., and Farasoglou, P. (1998). “Determination of the true stress-strain behaviour of polypropylene.” J. Mater. Sci., 33(1), 147–153.
Krishnan, J. M., and Rajagopal, K. R. (2003). “Review of the uses and modeling of bitumen from ancient to modern times.” Appl. Mech. Rev., 56(2), 149–214.
Levenberg, E. (2011). “Smoothing asphalt concrete complex modulus test data.” J. Mater. Civ. Eng., 23(5), 606–611.
Liu, Y., and You, Z. (2009). “Visualization and simulation of asphalt concrete with randomly generated three-dimensional models.” J. Comput. Civ. Eng., 23(6), 340–347.
Luo, W. B., Wang, C. H., and Zhao, R. G. (2007). “Application of time-temperature-stress superposition principle to nonlinear creep of poly(methyl methacrylate).” Key Eng. Mater., 340-341, 1091–1096.
Schwartz, C., Gibson, N., and Schapery, R. (2002). “Time-temperature superposition for asphalt concrete at large compressive strains.” Transportation Research Record 1789, Transportation Research Board, Washington, DC, 101–112.
Walker, F. K., and Hicks, R. G. (1976). “Use of sand asphalt in highway construction.” Proc., Association of Asphalt Paving Technologists, Vol. 45, Association of Asphalt Paving Technologists, Lino Lakes, MN, 429–452.
Wineman, A. (2009). “Nonlinear viscoelastic solids—A review.” Math. Mech. Solids, 14(3), 300–366.
Ye, Y., Yang, X., and Chen, C. (2009). “Experimental researches on visco-elastoplastic constitutive model of asphalt mastic.” Construct. Build. Mater., 23(10), 3161–3165.
You, Z., Adhikari, S., and Dai, Q. (2008). “Three-dimensional discrete element models for asphalt mixtures.” J. Eng. Mech., 134(12), 1053–1063.
Zhu, Y., Sun, L., and You, K. (2009). “Viscoelastic analysis of asphalt pavement using a regularized interconversion technique between creep and relaxation.” Proc., 9th Int. Conf. of Chinese Transportation Professionals, ASCE, New York, 2159–2164.
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Published In
Journal of Engineering Mechanics
Volume 138 • Issue 12 • December 2012
Pages: 1457 - 1467
Copyright
© 2012 American Society of Civil Engineers.
History
Received: Oct 19, 2011
Accepted: Apr 10, 2012
Published online: Apr 12, 2012
Published in print: Dec 1, 2012
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