Numerical implementation and validation of a nonlinear viscoelastic and viscoplastic model for asphalt mixes

References

• ABAQUS . 2008 . Version 6.8 , Providence, RI : Habbit, Karlsson and Sorensen, Inc .
   Google Scholar
• Christensen , R.M. 1968 . On obtaining solutions in nonlinear viscoelasticity . Journal of Applied Mechanics , 35 : 129 – 133 .
   Google Scholar
• Collop , A.C. 2003 . Development and finite element implementation of stress-dependent elastoviscoplastic constitutive model with damage for asphalt , Transportation Research Record 1832 96 – 104 . Washington, DC : Transportation Research Board .
   Google Scholar
• Dessouky, S., 2005. Multiscale approach for modeling hot mix asphalt. Dissertation (PhD). Texas A&M University, College Station, TX
   Google Scholar
• Grenfell , J.R.A. 2008 . Deformation characterization of asphalt concrete behaviour . Journal of the Association of Asphalt Paving Technologists , 77 : 479 – 516 .
   Google Scholar
• Haj-Ali , R.M. and Muliana , A.H. 2004 . Numerical finite element formulation of the Schapery non-linear viscoelastic material model . International Journal for Numerical Methods in Engineering , 59 : 25 – 45 .
   Web of Science ®Google Scholar
• Huang , C.W. 2007 . Nonlinear viscoelastic analysis of asphalt mixes subjected to shear loading . Mechanics of Time Dependent Materials , 11 : 91 – 110 .
   Web of Science ®Google Scholar
• Kim , Y. , Allen , D.H. and Little , D.N. 2007 . Computational constitutive model for predicting nonlinear viscoelastic damage and fracture failure of asphalt concrete mixtures . International Journal of Geomechanics , 7 : 102 – 110 .
   Google Scholar
• Kose , S. 2000 . Distribution of strains within hot-mix asphalt binders , Transportation Research Record 1728 21 – 27 . Washington, DC : Transportation Research Board .
   Google Scholar
• Lai , J. and Bakker , A. 1996 . 3D schapery representation of non-linear viscoelasticity and finite element implementation . Computational Mechanics , 18 : 182 – 191 .
   Web of Science ®Google Scholar
• Lee , H.J. and Kim , Y.R. 1998 . A uniaxial viscoelastic constitutive model for asphalt concrete under cyclic loading . Journal of Engineering Mechanics , 124 : 32 – 40 .
   Web of Science ®Google Scholar
• Lemaitre , J. and Chaboche , J.-L. 1990 . Mechanics of solid materials , London : Cambridge University Press .
   Google Scholar
• Lu , Y. and Wright , P.J. 1998 . Numerical approach of visco-elastoplastic analysis for asphalt mixtures . Journal of Computers and Structures , 69 : 139 – 157 .
   Web of Science ®Google Scholar
• Masad , E. and Somadevan , N. 2002 . Microstructural finite-element analysis of influence of localized strain distribution of asphalt mix properties . Journal of Engineering Mechanics , 128 : 1105 – 1114 .
   Web of Science ®Google Scholar
• Masad , E. 2005 . Viscoplastic modeling of asphalt mixes with the effects of anisotropy, damage, and aggregate characteristics . Journal of Mechanics of Materials , 37 : 1242 – 1256 .
   Web of Science ®Google Scholar
• Masad , E. , Dessouky , S. and Little , D. 2007 . Development of an elastoviscoplastic microstructural-based continuum model to predict permanent deformation in hot mix asphalt . International Journal of Geomechanics , 7 : 119 – 130 .
   Google Scholar
• Perl , M. , Uzan , J. and Sides , A. 1983 . Visco-elasto-plastic constitutive law for bituminous mixture under repeated loading , Transportation Research Record 911 20 – 26 . Washington, DC : Transportation Research Board .
   Google Scholar
• Perzyna , P. 1971 . Thermodynamic theory of viscoplastcity . Advances in Applied Mechanics , 11 : 313 – 354 .
   Google Scholar
• Saadeh , S. , Masad , E. and Little , D. 2007 . Characterization of hot mix asphalt using anisotropic damage viscoelastic-viscoplastic model and repeated loading . Journal of Materials in Civil Engineering , 19 ( 10 ) : 912 – 924 .
   Web of Science ®Google Scholar
• Sadd , M.H. , Parameswaran , D.Q. and Shukla , A. 2004 . Simulation of asphalt materials using finite element micromechanical model with damage mechanics , Transportation Research Record 1832 86 – 95 . Washington, DC : Transportation Research Board .
   Google Scholar
• Schapery , R.A. 1969 . On the characterization of nonlinear viscoelastic materials . Polymer Engineering and Science , 9 : 295 – 310 .
   Web of Science ®Google Scholar
• Schapery , R.A. 1991 . “ Simplifications in the behavior of viscoelastic composites with growing damage ” . In Proceedings of the IUTAM symposium on inelastic deformation of composite materials , Berlin : Springer Verlag .
   Google Scholar
• Schapery , R.A. 2000 . Nonlinear viscoelastic solids . International Journal of Solids and Structures , 37 : 359 – 366 .
   Web of Science ®Google Scholar
• Seibi , A. 2001 . Constitutive relations for asphalt concrete under high rates of loading , Transportation Research Record 1767 111 – 119 . Washington, DC : Transportation Research Board .
   Google Scholar
• Sides , A. , Uzan , J. and Perl , M. 1985 . A comprehensive visco-elastoplastic characterization of sand-asphalt under compression and tension cyclic loading . Journal of Testing and Evaluation , 13 : 49 – 59 .
   Web of Science ®Google Scholar
• Tashman , L. 2005 . Microstructural viscoplastic continuum model for asphalt pavements . Journal of Engineering Mechanic , 131 ( 1 ) : 48 – 57 .
   Web of Science ®Google Scholar
• Touati , D. and Cederbaum , G. 1998 . Post buckling of nonlinear viscoelastic imperfect laminated plates. Part I: material considerations . Composite Structures , 42 : 33 – 41 .
   Google Scholar
• Wang , W.M. , Sluys , L.J. and de Borst , R. 1997 . Viscoplasticity for instabilities due to strain softening and strain-rate softening . International Journal for Numerical Methods in Engineering , 40 : 3839 – 3864 .
   Web of Science ®Google Scholar