Mechanistic procedure for parameter determination of multiplicative decomposition based constitutive models

References

• Christensen, D.W. and Bonaquist, R., 2005. Practical application of continuum damage theory to fatigue phenomena in asphalt concrete mixtures. AAPT, 74, 963–1002.
   Google Scholar
• Coleman, B.D. and Gurtin, M., 1967. Thermodynamics with internal variables. Journal of Chemical Physics, 47, 597–613.
   Web of Science ®Google Scholar
• Erkens, S.M.J.G., 2002. Asphalt concrete response – determination, modeling and prediction. Delft: Delft University Press, TU Delft.
   Google Scholar
• Erkens, S.M.J.G., Liu, X., and Scarpas, A., 2002. 3D finite element model for asphalt concrete response simulation. International Journal of Geomechanics, 2 (3), 305–330.10.1061/(ASCE)1532-3641(2002)2:3(305)
   Google Scholar
• Holzapfel, G.A., 1996. On large strain viscoelasticity: continuum formulation and finite element application to elastomeric structures. International Journal for Numerical Methods in Engineering, 39, 3902–3926.
   Web of Science ®Google Scholar
• Kutay, M.E., Gibson, N., and Youtcheff, J., 2008. Conventional and viscoelastic continuum damage based fatigue analysis of polymer modified asphalt pavements. AAPT, 77, 395–434.
   Google Scholar
• Kringos, N., Scarpas, A., and Kasbergen, C., 2007. Three-dimensional elasto-visco-plastic finite element model for combined physical-mechanical moisture induced damage in asphaltic mixtures, Journal Association Asphalt Paving Technologists, 76, 495-542.
   Google Scholar
• Lee, E.H., 1969. Elastic-plastic deformation at finite strains. Journal of Applied Mechanics, 36, 1–6.10.1115/1.3564580
   Web of Science ®Google Scholar
• Lee, E.H. and Liu, D.T., 1967. Finite-strain elastic–plastic theory particularly for plane wave analysis. Journal of Applied Physics, 38, 19–27.
   Web of Science ®Google Scholar
• Lo Presti D., et al., 2012. Mechanical characterisation of reclaimed asphalt mixes for modelling purposes. Paper presented at the 7th international conference on maintenance and rehabilitation of pavements and technological control, MAIREPAV 2012, 28–30 August 2012. Auckland, New Zealand: University of Auckland's Business School. Available from: www.scopus.com
   Google Scholar
• Lubarda, V.A., 2002. Elastoplasticity theory. Boca Raton, FL: CRC Press.
   Google Scholar
• Lurie, A.I., 1990. Non linear theory of elasticity. Amsterdam: North Holland. Available from: https://books.google.nl/books?hl=nl&lr=&id=yzQSoURdr3cC&oi=fnd&pg=PP1&dq=Lurie+Nonlinear+theory+of+Elasticity,+North+Holland,+Amsterdam,+1990.&ots=Uou_tJalAZ&sig=Qg_Zs_JRUR_8GLLXWF3W5UVST1M#v=onepage&q=Lurie%20Nonlinear%20theory%20of%20Elasticity%2C%20North%20Holland%2C%20Amsterdam%2C%201990.&f=false
   Google Scholar
• Lytton, R., et al., 1993. Development and validation of performance prediction models and specifications for asphalt binders and paving mixes. Report No. SHRP-A-357, Strategic Highway research program. Available from: http://onlinepubs.trb.org/onlinepubs/shrp/SHRP-A-357.pdf
   Google Scholar
• Monismith, C.L. and Secor, K.E., 1962. Viscoelastic behaviour of asphalt concrete pavements, International conference on structural design of asphalt pavements, Michigan.
   Google Scholar
• Murali Krishnan, J. and Rajagopal, K.R., 2003. Review of the uses and modeling of bitumen from ancient to modern times. Applied Mechanics Reviews, 56, 149–214.10.1115/1.1529658
   Google Scholar
• Murali Krishnan, J. and Rajagopal, K.R., 2004. Thermodynamic framework for the constitutive modeling of asphalt concrete: theory and applications. Journal of Materials in Civil Engineering, 16, 155–166.10.1061/(ASCE)0899-1561(2004)16:2(155)
   Web of Science ®Google Scholar
• Murali Krishnan, J. and Rajagopal, K.R., 2005. On the mechanical behavior of asphalt. Mechanics of Materials, 37, 1085–1100.10.1016/j.mechmat.2004.09.005
   Web of Science ®Google Scholar
• Nilsson, R.N., Hopman, P.C., and Isacsson, U., 2002. Influence of different rheological models on predicted pavement responses in flexible pavements. International Journal of Road Materials and Pavement Design (RMPD), 3 (2), 117–149. Available from: http://trid.trb.org/view.aspx?id=1160313
   Google Scholar
• Oeser, M., et al., 2008. Studies on creep and recovery of rheological bodies based upon conventional and fractional formulations and their application on asphalt mixture. International Journal of Pavement Engineering, 9, 373–386.10.1080/10298430802068923
   Google Scholar
• Olard, F. and di Benedetto, H.D., 2003. General2S2P1D model and relation between the linear viscoelastic behaviors of bituminous binders and mixes. Road Materials and Pavement Design, 4, 185–224.
   Google Scholar
• Park, S.W., Richard Kim, Y.R., and Schapery, R.A., 1996. A viscoelastic continuum damage model and its application to uniaxial behavior of asphalt concrete. Mechanics of Materials, 24, 241–255.10.1016/S0167-6636(96)00042-7
   Web of Science ®Google Scholar
• van der Poel, C., 1958. On the rheology of concentrated dispersions. Acta Rheologica, 1, 198–205.
   Google Scholar
• Kim, Y.R. and Little, D.N., 1990. One-dimensional constitutive modeling of asphalt concrete. Journal of Engineering Mechanics, 116, 751–772.10.1061/(ASCE)0733-9399(1990)116:4(751)
   Web of Science ®Google Scholar
• Scarpas, A., 2004. A mechanics based computational platform for pavement engineering. Delft: TU Delft publication, TU Delft.
   Google Scholar
• Scarpas, A., et al., 1997. Finite element simulation of damage development in asphalt concrete pavements. 8th international conference of damage development in asphalt concrete pavements, Washington: University of Washington, 673–692.
   Google Scholar
• Schapery, R.A., 1984. Correspondence principles and a generalized j integral for large deformation and fracture analysis of viscoelastic media. International Journal of Fracture, 25, 195–223.10.1007/BF01140837
   Web of Science ®Google Scholar
• Underwood, B.S., Kim, Y.R., and Guddati, M.N., 2010. Improved calculation method of damage parameter in viscoelastic continuum damage model. International Journal of Pavement Engineering, 11, 459–476.10.1080/10298430903398088
   Web of Science ®Google Scholar
• Uzan, J. and Levenberg, E., 2007. Advanced testing and characterization of asphalt concrete materials in tension. International Journal of Geomechanics, 7, 158–165.10.1061/(ASCE)1532-3641(2007)7:2(158)
   Google Scholar
• Xu, Q. and Solaimanian, M., 2009. Modelling linear viscoelastic properties of asphalt concrete by the Huet–Sayegh model. International Journal of Pavement Engineering, 10, 401–422.10.1080/10298430802524784
   Web of Science ®Google Scholar