Modeling the viscoelastic function of asphalt concrete using a spectrum method

Springer Science and Business Media LLC - Tập 14 - Trang 191-202 - 2009
Sungho Mun1, Goangseup Zi2
1Expressway and Transportation Research Institute, Korea Expressway Corporation, Hwaseong-si, South Korea
2Department of Civil and Environmental Engineering, Korea University, Seoul, South Korea

Tóm tắt

A continuous spectrum method is proposed and applied for modeling the time-domain viscoelastic function of asphalt concrete materials. This technique, employing a Wiechert model for the relaxation function and a Kelvin model for the compliance function, is found to substantially enhance accuracy and consistency compared to existing methods. Furthermore, this paper shows how to determine a time-domain Prony series representation, which can be used efficiently for numerical analysis, such as finite element analysis, from the complex modulus in the frequency domain, based on the continuous spectrum method.

Tài liệu tham khảo

Bažant, Z.P., Xi, Y.: Continuous retardation spectrum for solidification theory of concrete creep. J. Eng. Mech. 121, 281–288 (1995) Biot, M.A.: Theory of stress-strain relations in anisotropic viscoelasticity and relaxation phenomena. J. Appl. Phys. 25, 1385–1391 (1954) Chehab, G.R., Kim, Y.R., Schapery, R.A., Witczack, M., Bonaquist, R.: Time-temperature superposition principle for asphalt concrete mixtures with growing damage in tension state. Asph. Paving Technol. 71, 559–593 (2002) Emri, I., Tschoegl, N.W.: Determination of mechanical spectra from experimental responses. Int. J. Solids Struct. 32, 817–826 (1995) Ferry, J.D.: Viscoelastic Properties of Polymers, 3rd edn. Wiley, New York (1980) Goldfeld, S.M., Quandt, R.E., Trotter, H.F.: Maximization by quadratic hill-climbing. Econometrica 34, 541–551 (1966) Huang, Y.H.: Pavement Analysis and Design. Prentice-Hall, Englewood Cliffs (1993) Kaliske, M., Rothert, H.: Formulation and implementation of three-dimensional viscoelasticity at small and finite strains. Comput. Mech. 19, 228–239 (1997) Kim, Y.R., Lee, Y.C., Lee, H.J.: Correspondence principle for characterization of asphalt concrete. J. Mater. Civil Eng. 7, 59–68 (1995) McGraw, E.O.: Quality control in fabricating and testing laboratory asphalt concrete specimens. M.S. Thesis, North Carolina State University, Raleigh, NC (2000) Mun, S., Chehab, G.R., Kim, Y.R.: Determination of time-domain viscoelastic functions using optimized interconversion techniques. Road Mater. Pavement Des. 8, 351–365 (2007) Park, S.W., Kim, Y.R.: Fitting Prony-series viscoelastic models with power-law presmooting. J. Mater. Civil Eng. 13, 26–32 (2001) Park, S.W., Schapery, R.A.: Methods of interconversion between linear viscoelastic material functions. Part I: a numerical method based on Prony series. Int. J. Solids Struct. 36, 1653–1675 (1999) Ramkumar, D.H.S., Caruthers, J.M., Mavridis, H., Shroff, R.: Computation of the linear viscoelastic relaxation spectrum from experimental data. J. Appl. Polym. Sci. 64, 2177–2189 (1997) Schapery, R.A.: A simple collocation method for fitting viscoelastic models to experimental data. Report GALCIT SM 61-23A. California Institute of Technology, Pasadena, California (1961) Schapery, R.A., Park, S.W.: Methods of interconversion between linear viscoelastic material functions. Part II: an approximate analytical method. Int. J. Solids Struct. 36, 1677–1699 (1999) Taylor, R.L., Pister, K.S., Goudrequ, G.L.: Thermomechanical analysis of viscoelastic solids. Int. J. Numer. Meth. Eng. 2, 45–59 (1970) Widder, D.V.: An Introduction to Transformation Theory. Academic Press, New York (1971) Zi, G., Bažant, Z.P.: Continuous relaxation spectrum for concrete creep and its incorporation into microplane model M4. J. Eng. Mech. 128, 1331–1336 (2002)