Time Temperature Superposition Principle Validation for Bituminous Mixes in the Linear and Nonlinear Domains
Publication: Journal of Materials in Civil Engineering
Volume 25, Issue 9
Abstract
The mechanical behavior of bituminous mixes is very complex. It is also characterized by great thermal sensitivity. In the small strain domain (for strain amplitudes below approximately ), it can be considered to be linear, therefore the linear viscoelasticity theory can be applied. In addition, the time temperature superposition principle (TTSP) may be assumed, with a good approximation. This has been widely verified regarding the unidimensional behavior of bituminous mixes in the viscoelastic linear domain. This paper provides an overview of TTSP for bituminous materials, and three-dimensional (3D) behavior and nonlinear domain are also considered. The 3D behavior is characterized by measurements of the complex modulus and complex Poisson’s ratio. For both parameters, master curves are plotted to check the validity of TTSP in 3D. Some experiments in the nonlinear domain (considering strains up to some percentages and some crack propagation tests) are also conducted in equivalent conditions of time and temperature. The results show that the TTSP may be extended to the nonlinear domain, including the domain of crack propagation.
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References
Airey, G. D., and Behzad, R. (2004). “Combined bituminous binder and mixture linear rheological properties.” Constr. Build. Mater., 18(7), 535–548.
Cordel, S., Di Benedetto, H., Malot, M., Chaverot, P., and Perraton, D. (2003). “Fissuration à basse température des enrobes bitumineux—essai de retrait thermique empêché et émission acoustique.” Proc., 6th Int. RILEM Symp. on Performance Testing and Evaluation of Bituminous Materials, RILEM, Bagneux, France.
Delaporte, B., Di Benedetto, H., Chaverot, P., and Gauthier, G. (2007). “Linear viscoelastic properties of bituminous materials: From binders to mastics.” J. Assoc. Asphalt Paving Technol., 76, 455–494.
Delaporte, B., Di Benedetto, H., Chaverot, P., and Gauthier, G. (2009). “Linear viscoelastic properties of bituminous materials including new products made with ultrafine particles.” Road Mater. Pavement Des., 10(1), 7–38.
Di Benedetto, H. (1990). “Nouvelle approche du comportement des enrobés bitumineux: résultats expérimentaux et formulation rhéologique.” Mechanical Tests for Bituminous Mixes, Characterization, Design and Quality Control, Proc., 4th RILEM Symp., RILEM, Bagneux, France.
Di Benedetto, H., and Corté, J. F. (2005). Matériaux routiers bitumineux 2: Constitution et propriétés thermomécaniques des mélanges, Hermes, London, UK, 288 (in French).
Di Benedetto, H., Delaporte, B., and Sauzéat, C. (2007a). “Three-dimensional linear behavior of bituminous materials: Experiments and modeling.” Int. J. Geomech., 7(2), 149–157.
Di Benedetto, H., Neifar, M., Sauzeat, C., and Olard, F. (2007b). “Three-dimensional thermo-viscoplastic behaviour of bituminous materials: The DBN model.” Road Mater. Pavement Des., 8(2), 285–316.
Di Benedetto, H., Nguyen, Q. T., and Sauzéat, C. (2011). “Nonlinearity, heating, fatigue and thixotropy during cyclic loading of asphalt mixtures.” Road Mater. Pavement Des., 12(1), 129–158.
Di Benedetto, H., Olard, F., Sauzéat, C., and Delaporte, B. (2004). “Linear viscoelastic behavior of bituminous materials: From binders to mixes.” Road Mater. Pavement Des., 5, 163–202.
Di Benedetto, H., Partl, M. N., Francken, L., and De la Roche, C. (2001). “Stiffness testing for bituminous mixtures.” Mater. Struct., 34(2), 66–70.
Di Benedetto, H., Sauzéat, C., and Sohm, J. (2009). “Stiffness of bituminous mixtures using ultrasonic waves propagation.” Road Mater. Pavement Des., 10(4), 789–814.
Dongmo, B. J. (2005). “Caractérisation des déformations d’orniérage des chaussées bitumineuses.” Ph.D. thesis, ENTPE-INSA Lyon, France.
Doubbaneh, E. (1995). “Comportement mécanique des enrobés bitumineux des petites aux grandes déformations.” Ph.D. thesis, ENTPE-INSA Lyon, France.
Ferry, J. D. (1980). Viscoelastic properties of polymers, Wiley, New York.
Lundstrom, R., Di Benedetto, H., and Isacsson, U. (2004). “Influence of asphalt mixture stiffness on fatigue failure.” J. Mater. Civ. Eng., 16(6), 516–525.
Mandel, J. (1966). Cours de mécanique des milieux continus. tome II: mécanique des solides, Gauthier-Villars, Paris, 440 (in French).
Marasteanu, M. O. (1999). “Inter-conversions of the linear viscoelastic functions used for the rheological characterization of asphalt binders.” Ph.D. thesis, Pennsylvania State University, University Park, PA.
Nguyen, H. M., Pouget, S., Di Benedetto, H., and Sauzéat, C. (2009). “Time-temperature superposition principle for bituminous mixtures.” Eur. J. Environ. Civ. Eng., 13(9), 1095–1107.
Nguyen, M. L. (2009). “Etude de la fissuration et de la fatigue des enrobés bitumineux.” Ph.D. thesis, ENTPE-INSA Lyon, Mecanique, Energétique, Acoustique et Génie Civil, Lyon, France, 276 (in French).
Nguyen, Q. T., Di Benedetto, H., and Sauzéat, C. (2012). “Determination of thermal properties of asphalt mixtures as another output from cyclic tension-compression test.” Road Mater. Pavement Des., 13(1), 85–103.
Nguyen, M. L., Sauzeat, C., Di Benedetto, H., and Tapsoba, N. (2013). “Validation of the time-temperature superposition principle for crack propagation in bituminous mixtures.” Mater. Struct., 46(7), 1075–1087.
Olard, F., and Di Benedetto, H. (2003). “General 2S2P1D model and relation between the linear viscoelastic behaviors of bituminous binders and mixes.” Road Mater. Pavement Des., 4(2), 185–224.
Pouget, S., Sauzéat, C., Di Benedetto, H., and Olard, F. (2010). “From the behaviour of constituent materials to the calculation and design of orthotropic steel bridge structures.” Road Mater. Pavement Des., 11, 111–144.
Sauzéat, C., Di Benedetto, H., Chaverot, P., and Gauthier, G. (2007). “Low temperature behaviour of bituminous mixes: TSRS tests and acoustic emission.” Proc., Int. Conf. Advanced Characterization of Pavement and Soil Engineering Materials, Loizos, A., et al. ed., Taylor and Francis, London.
Tapsoba, N., Sauzéat, C., and Benedetto, H. (2013). “Analysis of fatigue test for bituminous mixtures.” J. Mater. Civ. Eng., 25(6), 701–710.
Tiouajni, S., Di Benedetto, H., Sauzéat, C., and Pouget, S. (2011). “Approximation of linear viscoelastic model in the 3 dimensional case with mechanical analogues of finite size.” Road Mater. Pavement Des., 12(4), 897–930.
Underwood, B. S., Kim, Y. R., and Guddati, M. (2006). “Characterization and performance prediction of ALF mixtures using a viscoelastoplastic continuum damage model.” J. Assoc. Asphalt Paving Technol., 75, 577–636.
Yin, H. M., Buttlar, W. G., Paulino, G. H., and Di Benedetto, H. (2008). “Assessment of existing micro-mechanical models for asphalt mastics considering viscoelastic effects.” Road Mater. Pavement Des., 9(1), 31–57.
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Information
Published In
Journal of Materials in Civil Engineering
Volume 25 • Issue 9 • September 2013
Pages: 1181 - 1188
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Apr 23, 2012
Accepted: Aug 14, 2012
Published online: Aug 24, 2012
Discussion open until: Jan 24, 2013
Published in print: Sep 1, 2013
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