Abstract
Seismic measurements and conventional cyclic loading have been applied to a cylindrical asphalt concrete specimen to compare the complex modulus and complex Poisson’s ratio between the two testing methods. The seismic moduli and Poisson’s ratio have been characterized by optimizing finite element calculated frequency response functions to measurements performed at different temperatures. An impact hammer and an accelerometer were used to measure the frequency response functions of the specimen which was placed on soft foam for free boundary conditions. The cyclic loading was performed by applying both tension and compression to the specimen while measuring the displacements in the axial and radial direction. The Havriliak–Negami and the 2S2P1D model have been used to estimate master curves of the complex modulus and complex Poisson’s ratio from the seismic and the tension–compression tests. The seismic measurements performed at a lower strain level than the tension–compression test give a higher absolute value of the complex moduli (e.g. \({\sim }12\,\%\) at 100 Hz) and a lower phase angle compared to the tension–compression results.
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Migliori, A., Sarrao, J.L.: Resonant Ultrasound Spectroscopy: Applications to Physics, Materials Measurements and Nondestructive Evaluation. Wiley, New York (1997). ISBN 0-471-12360-9
Ryden, N., Park, C.H.: Fast simulated annealing inversion of surface waves on pavement using phase–velocity spectra. Geophysics 71(4), R49–58 (2006)
Di Benedetto, H., Sauzéat, C., Sohm, J.: Stiffness of bituminous mixtures using ultrasonic wave propagation. RMPD 10(4), 789–814 (2009)
Norambuena-Contreras, J., Castro-Fresno, D., Vega-Zamanillo, A., Celaya, M., Lombillo-Vozmediano, I.: Dynamic modulus of asphalt mixture by ultrasonic direct test. NDT & E Int. 43, 629–634 (2010)
Mounier, D., Di Benedetto, H., Sauzéat, C.: Determination of bituminous mixtures linear properties using ultrasonic wave propagation. Constr. Build. Mater. 36, 638–647 (2012)
Whitmoyer, S.L., Kim, Y.R.: Determining asphalt concrete properties via the impact resonant method. J. Test. Eval. 22(2), 139–148 (1994)
Kweon, G., Kim, Y.R.: Determination of the complex modulus of asphalt concrete using the impact resonance test. J. Transp. Res. Board 1970, 151–160 (2006)
Lacroix, A., Kim, Y.R., Far, M.S.S.: Constructing the dynamic modulus mastercurve using impact resonance testing. Assoc. Asph. Paving Technol. 78, 67–102 (2009)
ASTM: C215–08, Standard Test Method for Fundamental Transverse, Longitudinal, and Torsional Frequencies of Concrete Specimens. American Society for Testing and Materials, West Conshohocken (2008)
Ryden, N.: Resonant frequency testing of cylindrical asphalt samples. Eur. J. Environ. Civ. Eng. 15, 587–600 (2011)
Gudmarsson, A., Ryden, N., Birgisson, B.: Application of resonant acoustic spectroscopy to asphalt concrete beams for determination of the dynamic modulus. Mater. Struct. 45, 1903–1913 (2012)
Ren, Z., Atalla, N., Ghinet, S.: Optimization based identification of the dynamic properties of linearly viscoelastic materials using vibrating beam technique. ASME J. Vib. Acoust. 133(4), 1–12 (2011)
Rupitsch, S.J., Ilg, J., Sutor, A., Lerch, R., Döllinger, M.: Simulation based estimation of dynamic mechanical properties for viscoelatic materials used for vocal fold models. J. Sound Vib. 330, 4447–4459 (2011)
Renault, A., Jaouen, L., Sgard, F.: Characterization of elastic parameters of acoustical porous materials from beam bending vibrations. J. Sound Vib. 330, 1950–1963 (2011)
Gudmarsson, A., Ryden, N., Birgisson, B.: Characterizing the low strain complex modulus of asphalt concrete specimens through optimization of frequency response functions. J. Acoust. Soc. Am. 132(4), 2304–2312 (2012)
Doubbaneh, E.: Comportement mécanique des enrobes bitumineux des petits aux grandes déformations. Ph.D. dissertation, Institut National des Sciences Appliquées, ENTPE, Lyon (1995)
Duttine, A., Di Benedetto, H., Ezaoui, A.: Anisotropic small strain elastic properties of sands and mixture of sand–clay measured by dynamic and static methods. Soils Found. 47(3), 457–472 (2007). doi:10.3208/sandf.47.457
Ezaoui, A., Di Benedetto, H.: Experimental measurements of the global anisotropic elastic behaviour of dry Hostun sand during triaxial tests, and effect of sample preparation. Géotechnique 59(7), 621–635 (2009). doi:10.1680/geot.7.00042
Nguyen, Q.T., Di Benedetto, H., Sauzéat, C.: Prediction of linear viscoelastic behaviour of asphalt mixes from binder properties and reversal. In: Kringos, N., Birgisson, B., Frost, D., Wang, L. (eds.) Multi-Scale Modeling and Characterization of Infrastructure Materials, vol. 8, pp. 237–248. Springer, Netherlands (2013)
COMSOL Multiphysics: Version 4.3b. Structural Mechanics Module User’s Guide (2013)
Neeman, A.G., Brannon, R., Jeremić, B., Van Gelder, A., Pang, A.: Decomposition and visualization of fourth-order elastic-plastic tensors. In: Hege, H.-C., Laidlaw, D., Pajarola, R., Staadt, O. (eds.)IEEE/EG Symposium on Volume and Point-Based Graphics, pp. 121–128 (2008)
Yusoff, N.I.M., Shaw, M.T., Airey, G.D.: Modelling the linear viscoelastic rheological properties of bituminous binders. J. Constr. Build. Mater. 25(5), 2171–2189 (2011)
Olard, F., Di Benedetto, H.: General “2S2P1D” model and relation between the linear viscoelastic behaviours of bitumnious binders and mixes. RMPD 4(2), 185–224 (2003)
Havriliak, S., Negami, S.: A complex plane analysis of \(\alpha \)-dispersions in some polymer systems. J. Polym. Sci. C 14, 99–117 (1996)
Di Benedetto, H., Olard, F., Sauzéat, C., Delaporte, B.: Linear viscoelastic behaviour of bituminous materials: from binders to mixes. Road Mater. Pavement Des. 5(sup1), 163–202 (2004)
Di Benedetto, H., Delaporte, B., Sauzéat, C.: Three-dimensional linear behavior of bituminous materials: experiments and modeling. Int. J. Geomech. 7(2), 149–157 (2007)
Hartmann, B., Lee, G.F., Lee, J.D.: Loss factor height and width limits for polymer relaxations. J. Acoust. Soc. Am. 95, 226–233 (1994)
Madigosky, W.M., Lee, G.F., Niemiec, J.M.: A method for modeling polymer viscoelastic data and the temperature shift function. J. Acoust. Soc. Am. 119, 3760–3765 (2006)
Zhao, Y., Liu, H., Bai, L., Tan, Y.: Characterization of linear viscoelastic behavior of asphalt concrete using complex modulus model. J. Mater. Civ. Eng. 25(10), 1543–1548 (2013)
Nguyen, H.M., Pouget, S., Di Benedetto, H., Sauzéat, C.: Time-temperature superposition principle for bituminous mixtures. Eur. J. Environ. Civ. Eng. 13(9), 1095–1107 (2009)
Williams, M.L., Landel, R.F., Ferry, J.D.: The temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids. J. Am. Chem. Soc. 77, 3701 (1955)
Clec’h, P., Sauzéat, C., Di Benedetto, H.: Linear viscoelastic behaviour and anisotropy of bituminous mixture compacted with a French wheel compactor. Paving Mater. Pavement Anal., 103–115 (2010). doi:10.1061/41104(377)14
Rollins, K.M., Evans, M.D., Diehl, N.B., Daily III, W.D.: Shear modulus and damping relationships for gravels. J. Geotech. Geoenviron. Eng. 124(5), 396–405 (1998)
Acknowledgments
The Swedish transport administration (Trafikverket) and the Swedish construction industry’s organization (SBUF) are acknowledged for their financial support. A great appreciation is also given to the research group at Departement Génie Civil et Bâtiment in ENTPE at the University of Lyon for all their help and hospitality.
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Gudmarsson, A., Ryden, N., Di Benedetto, H. et al. Comparing Linear Viscoelastic Properties of Asphalt Concrete Measured by Laboratory Seismic and Tension–Compression Tests. J Nondestruct Eval 33, 571–582 (2014). https://doi.org/10.1007/s10921-014-0253-9
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DOI: https://doi.org/10.1007/s10921-014-0253-9