References
 Kim, Y.R. and Little, D.N. (1990). "OneDimensional Constitutive Modeling of Asphalt Concrete." ASCE Journal of Engineering Mechanics, Vol. 116, No. 4, pp. 751772.
 Lee, H.J. (1996). Uniaxial Constitutive Modeling of Asphalt Concrete Using Viscoelasticity and Continuum Damage Theory, Ph.D. Dissertation, North Carolina State University, Raleigh, NC.

Lee, H.J. and Kim, Y.R. (1998a). "A Uniaxial Viscoelastic Constitutive Model for Asphalt Concrete under Cyclic Loading." ASCE Journal of Engineering Mechanics, Vol. 124, No. 1, pp. 3240.
 Lee, H.J. and Kim, Y.R. (1998b). "A Viscoelastic Continuum Damage Model of Asphalt Concrete with Healing." ASCE Journal of Engineering Mechanics, Vol. 124, No. 11, pp. 1,2241,232.

Daniel J.S. and Kim, Y.R. (2002). "Development of a Simplified Fatigue Test and Analysis Procedure Using a Viscoelastic Continuum Damage Model." Journal of the Association of Asphalt Paving Technologists, Vol. 71, pp. 619650.
 Chehab, G.R., Kim, Y.R., Schapery, R.A., Witczack, M., and Bonaquist, R. (2002). "TimeTemperature Superposition Principle for Asphalt Concrete Mixtures with Growing Damage in Tension State." Asphalt Paving Technology , AAPT, Vol. 71, pp. 559593.

Chehab, G.R., Kim, Y.R., Schapery, R.A., Witczack, M., and Bonaquist, R. (2003). "Characterization of Asphalt Concrete in Uniaxial Tension Using a Viscoelastoplastic Model." Asphalt Paving Technology, AAPT, Vol. 72, pp. 315355.

Schapery, R.A. (1984). "Correspondence Principles and a Generalized Jintegral for Large Deformation and Fracture Analysis of Viscoelastic Media." International Journal of Fracture , Vol. 25, pp. 195223.

Schapery, R.A. (1990). "A Theory of Mechanical Behavior of Elastic Media with Growing Damage and Other Changes in Structure." Journal of the Mechanics and Physics of Solids, Vol. 38, pp. 215253.
 Schapery, R.A. (1999). "Nonlinear Viscoelastic and Viscoplastic Constitutive Equations with Growing Damage." International Journal of Fracture , Vol. 97, pp. 3366.
 Schapery, R.A. (1987). "Deformation and Fracture Characterization of Inelastic Composite Materials using Potentials." Polymer Engineering and Science, Vol. 27, Issue 1, pp. 6376.
 Underwood, B.S., Kim, Y.R., and Guddati, M.N. (2006). "Characterization and Performance Prediction of ALF Mixtures Using a Viscoelastoplastic Continuum Damage Model." Asphalt Paving Technology, AAPT, Vol. 75, pp. 577636.
 Kim, Y.R., Guddati, M.N., Underwood, B.S., Yun, T.Y., Subramanian, V., and Heidari, A.H. (2005). Characterization of ALF Mixtures Using the Viscoelastoplastic Continuum Damage Model: Final Report, Project No. DTFH6103H00116, Federal Highway Administration, Washington, DC.
 Uzan, J. (1996). "Asphalt Concrete Characterization for Pavement Performance Prediction." Asphalt Paving Technology, AAPT, Vol. 65, pp. 573607.
 Perzyna, P. (1971). "Thermodynamic Theory of Viscoplasticity." Advances in Applied Mechanics , Vol. 11, pp. 313354.
 Park, S.W. and Schapery, R.A. (1999). "Methods of Interconversion Between Linear Viscoelastic Material Functions: Part IA Numerical Method based on Prony Series." International Journal of Solids and Structures , Vol. 36, pp. 1,6531,657.
 Schapery, R.A. (1961). A Simple Collocation Method for Fitting Viscoelastic Models to Experimental Data, Report No. GALCIT SM 6123A, California Institute of Technology, Pasadena, CA.
 American Association of State Highway and Transportation Officials. (2003). TP62 Standard Method of Test for Determining Dynamic Modulus of HotMix Asphalt Concrete Mixtures, Washington DC.
 Daniel J.S. (2001). Development of a Simplified Fatigue Test and Analysis Procedure Using a Viscoelastic, Continuum Damage Model and Its Implementation to WesTrack Mixtures. Ph.D. Dissertation, North Carolina State University, Raleigh, NC.
 Chehab, G. (2002). Characterization of Asphalt Concrete in Tension Using a Viscoelastoplastic Model. Ph.D. Dissertation, North Carolina State University, Raleigh, NC.
 Park, S.W., 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, Vol. 24, No. 4, pp. 241255.
 Kim, Y.R. and Chehab, G. (2004). Development of Viscoelastoplastic Continuum Damage Model for AsphaltAggregate Mixtures, Part of NCHRP Report 547, CRP CD46, National Research Council, Transportation Research Board, Washington, DC.
 Chou, P.C. and Pagano, N.J. (1967). Elasticity: Tensor, Dyadic and Engineering Approaches, D. Van Nostrand Company, Inc. Princeton.
 Park, S.W. (1996). Development of a Nonlinear ThermoViscoelastic Constitutive Equation for Particulate Composites with Growing Damage, Ph.D. Dissertation, University of Texas Austin, TX.
 Uzan, J., Perl, M., and Sides, A. (1985). "Viscoelastoplastic Model for Predicting Performance of Asphalt Mixtures." Transportation Research Record 1043, pp. 7879, Washington, DC.
 Scarpas, A., AlKhoury, R., Van Gurp, C., and Erkens, S. (1997). "Finite Element Simulation of Damage Development in Asphalt Concrete Pavements." In Proceedings of the 8th International Conference on Asphalt Pavements, pp. 673692, University of Washington, Seattle, WA.

Desai C.S. and Zhang, D. (1987). "Viscoplastic Model for Geologic Materials with Generalized Flow Rule." International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 11, pp. 603620.
 Gibson, N.H. (2006). A Viscoelastoplastic Continuum Damage Model for the Compressive Behavior of Asphalt Concrete, Ph.D. Dissertation, University of Maryland, College Park, MD.
 Saadeh, SAR. (2005). Characterization of Asphalt Concrete Using Anisotropic Damage ViscoelasticViscoplastic Model, Ph.D. Dissertation. Texas A&M University, College Station, TX.
 Von Mises R. (1928). "Mechanik der plastischen Formanderung von Kristallen." ZAMM, Vol. 8, pp. 161185.
 Perzyna, P. (1963). "The Constitutive Equations for Rate Sensitive Plastic Materials." Quarterly of Applied Mathematics , Vol. 20, pp. 321332.
 Prager, W. (1956). "A New Method of Analyzing Stresses and Strains in Work Hardening Plastic Solids." Journal of Applied Mechanics, Vol. 23, pp. 493496.
 Armstrong, P.J. and Frederick, C.O. (1966). A Mathematical Representation of the Multiaxial Bauscinger Effect, CEGB Report No. RD/B/N 731.
 Chaboche J.L. (1986). "TimeIndependent Constitutive Theories for Cyclic Plasticity." International Journal of Plasticity, Vol. 2, pp. 149188.
 Desai, C.S., Somasundaram, S., and Frantziskonis, G. (1986). "A Hierarchical Approach for Constitutive Modeling of Geologic Materials." International Journal of Numerical Analytical Methods in Geomechanics, Vol. 10, pp. 225257.
 Erkens, S.M., Liu, X., Scarpas, T., Molenaar, A.A.A., and Blaauwendraad, J. (2003). Modeling of Asphalt ConcreteNumerical and Experimental Aspects, Recent Advances in Materials Characterization and Modeling of Pavement Systems (E. Tutumluer, Y. M. Najjar, and E. Masad, eds.), Geotechnical Special Publication No. 123, pp. 160177, ASCE, Reston, VA.
 Krieg R.D. and Krieg, D.B. (1977). "Accuracies of Numerical Solution Methods for the ElasticPerfectly Plastic Model." ASME Journal of Pressure Vessel Technology, Vol. 99, pp. 510515.
 Krempl, E. (1987). "Models of ViscoplasticitySome Comments on Equilibrium (Back) Stress and Drag Stress." Acta Mech, Vol. 69, pp. 2542.
 Krempl, E. and Khan, F. (2003). "Rate (Time)Dependent Deformation Behavior: An Overview of Some Properties of Metals and Solid Polymers." International Journal of Plasticity, Vol. 19, No. 7, pp. 1,0691,095.
 Cernocky, E.P. and Krempl, E. (1979). "A Nonlinear Uniaxial Integral Constitutive Equation Incorporating Rate Effects, Creep and Relaxation." International Journal of Nonlinear Mechanics , Vol. 14, No. 2, pp. 183203.
 Kwnagsoo, H.O. (2006). "Unified Constitutive Equations of Viscoplastic Deformation: Development and Capabilities." Japanese Society of Mechanical Engineers , Vol. 49, No. 1, pp. 138146.
 Witczak, W.M., Kaloush, K., Pellinen, T., ElBasyouny, M., and Von Quintus, H. (2000). Simple Performance Test for Superpave Mix Design, NCHRP Report 465, National Research Council, Transportation Research Board, Washington, DC.
 Myers, L.A., Roque, R., and Ruth, B.E. (1998). "Mechanisms of SurfaceInitiated Longitudinal Wheel Path Cracks in High Type Bituminous Pavements." Asphalt Paving Technology, AAPT, Vol. 67, pp. 401432.
 Myers, L.A. and Roque, R. (2001). "Evaluation of TopDown Cracking in Thick Asphalt Pavements and the Implications for Pavement Design." Transportation Research Circular: Perpetual Bituminous Materials, pp. 113122, Washington, DC.
 Pellinen, T. (2002). Evaluation of Surface (TopDown) Longitudinal Wheel Path Cracking in Indiana, Joint Transportation Research Program, Purdue University, West Lafayette, IN.
 Rao Tangella, S.C., Craus, J., Deacon, J.A., and Monismith, C.L. (1990), Summary Report on Fatigue Response of Asphalt Mixtures, Report TMUCBA003A893. Strategic Highway Research Program, National Research Council, Washington, DC.

Deacon, J.A., Tayebali, A.A., Rowe, G.M., and Monismith, C.L. (1995). "Validation of SHRP A003A Flexural Beam Fatigue Test." Engineering Properties of Asphalt Mixtures and the Relationship to Their Performance, ASTM STP 1265, pp. 2136.
 Ha, K. and Schapery, R.A. (1998). "A ThreeDimensional Viscoelastic Constitutive Model for Particulate Composites with Growing Damage and Its Experimental Validation." International Journal of Solids and Structures, Vol. 35, No. 26, pp. 3,4973,517.
 Pellinen, T. (2001). Investigation of the Use of Dynamic Modulus as an Indicator of HotMix Asphalt Performance, Ph.D. Dissertation, Arizona State University, Tempe, AZ.
 Ferry, J.D. (1961). Viscoelastic Properties of Polymers, John Wiley and Sons, Inc., New York.
 Petersen. J.C., Robertson, R.E., Branthaver, J.F., Harnsberger, P.M., Duvall, J.J., Kim, S.S., Anderson, D.A., Christensen, D.W., and Bahia, H.U. (1994). Binder Characterization and Evaluation: Volume 1, Strategic Highway Research Program, National Research Council. Washington, DC.
 Desai, C.S. (2001). Mechanics of Materials and Interfaces: The Disturbed State Concept. CRC Press, Boca Raton, FL.
 Gibson, N.H., Schwartz, C.W., Schapery, R.A., and Witczak, M.W. (2003). "Viscoelastic, Viscoplastic, and Damage Modeling of Asphalt Concrete in Unconfined Compression." Transportation Research Record, No. 1860, pp. 315.
 Kim,Y.R., Seo, Y., King, M., and Momen, M. (2004). "Dynamic Modulus Testing of Asphalt Concrete in Indirect Tension Mode." Presented at the Transportation Research Board 83rd Annual Meeting (CD ROM), National Research Council, Washington, DC.
 Underwood, S., Heidari, A.H., Guddati, M., and Kim, Y.R. (2005). "Experimental Investigation of Anisotropy in Asphalt Concrete." Transportation Research Record, No. 1929, pp. 238247, Washington, DC.
 Advanced Asphalt Technologies. (2004). Asphalt Concrete Mixture Performance Testing and Analysis: Western Research Institute Test Sections, Interstate 15, Clark County, NV.
 Hinterhoelzl R.M. and Schapery, R.A. (2004). "FEM Implementation of a ThreeDimensional Viscoelastic Constitutive Model for Particulate Composites." Mechanics of TimeDependent Materials, Vol. 8, pp. 6594.
 Reese, R. (1997). "Properties of Aged Asphalt Binder Related to Asphalt Concrete Fatigue Life." Journal of the Association of Asphalt Paving Technologists, Vol. 66, pp. 604632.
 ARA Inc. (2004). "Guide for MechanisticEmpirical Design of New and Rehabilitated Pavement Structures." NCHRP Final Report 137A, National Research Council, Transportation Research Board, Washington, DC.
