A serial two-stage viscoelastic-viscoplastic constitutive model with thermodynamical consistency for characterizing time-dependent deformation behavior of asphalt concrete mixtures

Construction and Building Materials

Volumn 40, Issue , 2013, Pages 584-595

  Sun, Lu ^a,b   Zhu, Yaoting ^c  

^a Catholic University of America   (United States)

^b SOUTHEAST UNIVERSITY   (China)

^c Jiangxi Transportation Research Institute   (China)

Author keywords

Asphalt concrete mixture; Constant strain rate compression test; Constitutive model; Creep test; Dynamic modulus test; Parameter estimation; Viscoelasticity viscoplasticity

Indexed keywords

CONSTANT STRAIN RATE; CREEP TESTS; DYNAMIC MODULI; INTERNAL VARIABLES THEORY; MODEL PARAMETERS; ORTHOGONALITY PRINCIPLE; TIME DEPENDENT BEHAVIOR; TIME-DEPENDENT DEFORMATION; VISCOPLASTIC; DYNAMIC MODULUS TESTS; VISCOPLASTIC CONSTITUTIVE MODELING;

ASPHALT CONCRETE; COMPRESSION TESTING; CONCRETE MIXTURES; CONSTITUTIVE MODELS; CREEP; PARAMETER ESTIMATION; THERMODYNAMICS; VISCOPLASTICITY; VISCOSITY; YIELD STRESS; CREEP TESTING; MIXTURES; STRAIN RATE; VISCOELASTICITY;

MIXTURES; ASPHALT CONCRETE;

EID: 84871770148     PISSN: 09500618     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.conbuildmat.2012.10.004     Document Type: Article

References (60)

1. J.M. Krishnan, and K.R. Rajagopal Review of the uses and modeling of bitumen from ancient to modern times Appl Mech Rev 56 2 2003 149 214 (Pubitemid 40205922)
2. L. Sun, and F. Luo Transient wave propagation in multilayered viscoelastic media-theory, numerical computation and validation J Appl Mech ASME 75 3 2008 pp. 031007.1-031007.15
3. L. Sun, W. Gu, and F. Luo Steady state response of multilayered viscoelastic media under a moving dynamic distributed load J Appl Mech ASME 75 4 2009 pp. 041001.1-041001.15
4. P.C. Hopman VEROAD: a viscoelastic multilayer computer program Transp Res Rec 1539 1996 72 80 (Pubitemid 126520715)
5. R. Blab, and J.T. Harvey Modeling measured 3D tire contact stresses in a viscoelastic FE pavement model Int J Geomech ASCE 2 3 2002 271 290
6. A. Abbas, E. Masad, T. Papagiannakis, and T. Harman Micromechanical modeling of the viscoelastic behavior of asphalt mixtures using the discrete-element method Int J Geomech ASCE 7 2 2007 131 139 (Pubitemid 46454886)
7. Y. Liu, Q. Dai, and Z. You Viscoelastic model for discrete element simulation of asphalt mixtures J Eng Mech ASCE 135 4 2009 324 333
8. N.W. Tschoegl The phenomenological theory of linear viscoelastic behaviour 1999 Springer-Verlag Berlin
9. F. Olard, and H. Di Benedetto General '2S2P1D' model and relation between the linear viscoelastic behaviors of bituminous binders and mixes Road Mater Pavement Des 4 2 2003 185 224
10. H. Di Benedetto, B. Delaporte, and C. Sauzeat Three-dimensional linear behavior of bituminous materials: experiments and modeling Int J Geomech 7 2 2007 149 157 (Pubitemid 46454888)
11. Q. Xu, and M. Solaimanian Modelling linear viscoelastic properties of asphalt concrete by the Huet-Sayegh model Int J Pavement Eng 10 6 2009 401 422
12. Sousa JB, Deacon JA, Weissman SL, Leahy RB, Harvey JT, Monismith CL. Permanent deformation response of asphalt aggregate mixes. Washington DC: Strategic Highway Research Program (SHRP), National Research Program Council, Report No. SHRP-A-415; 1994.
13. D. Florea Associated elastic/viscoplastic model for bituminous concrete Int J Eng Sci 32 1 1994 79 86
14. D. Florea Nonassociated elastic/viscoplastic model for bituminous concrete Int J Eng Sci 32 1 1994 87 93
15. M. Oeser, and B. Moller 3D constitutive model for asphalt pavements Int J Pavement Eng 5 3 2004 153 161
16. L. Tashman, E. Masan, H. Zbib, D. Little, and K. Kaloush Microstructual viscoplastic continuum model for permanent deformation in asphalt pavements J Eng Mech ASCE 131 1 2005 48 57 (Pubitemid 40059091)
17. E. Masad, L. Tashman, D. Little, and H. Zbib Viscoplastic modeling of asphalt mixes with the effects of anisotropy, damage and aggregate characteristics Mech Mater 37 2005 1242 1256 (Pubitemid 41383636)
18. S. Saadeh, E. Masad, and D. Little Characterization of asphalt mix response under repeated loading using anisotropic nonlinear viscoelastic- viscoplastic model J Mater Civ Eng 19 10 2007 912 924 (Pubitemid 47456427)
19. E. Masad, S. Dessouky, and D. Little Development of an elastoviscoplastic microstructual-based continuum model to predict permanent deformation in hot mix asphalt Int J Geomech ASCE 7 2 2007 119 130 (Pubitemid 46454885)
20. P. Kettil, B. Lenhof, K. Runsesson, and N.E. Wiberg Simulation of inelastic deformation in road structures due to cyclic mechanical and thermal loads Comput Struct 85 2007 59 70 (Pubitemid 46109002)
21. L. Tashman, E. Masad, D. Little, and H. Zbib A microstructure-based viscoplastic model for asphalt concrete Int J Plast 21 2005 1659 1685 (Pubitemid 40643260)
22. S. Bahuguna, V.P. Panoskaltsis, and K.D. Papoulia Identification and modeling of permanent deformations of asphalt concrete J Eng Mech ASCE 132 3 2006 231 239 (Pubitemid 43257513)
23. B. Huang, L.N. Mohammad, and G.W. Wathugala Development of a thermo-viscoplastic constitutive model for HMA mixtures J Assoc Asphalt Paving Technol 71 2002 594 618
24. B. Huang, L.N. Mohammad, and G.W. Wathugala Application of a temperature dependent viscoplastic hierarchical single surface model for asphalt mixture J Mater Civ Eng ASCE 16 2 2004 147 154 (Pubitemid 38462873)
25. D.V. Ramsamooj, J. Ramadan, and G.S. Lin Model prediction of rutting in asphalt concrete J Transp Eng ASCE 124 5 1998 448 456 (Pubitemid 128499617)
26. E. Levenberg, and J. Uzan Triaxial small-strain viscoelastic-viscoplastic modeling of asphalt aggregate mixes Mech Time-Depend Mater 8 2004 365 384 (Pubitemid 40626456)
27. J. Uzan Viscoelastic-viscoplastic model with damage for asphalt concrete J Mater Civ Eng ASCE 17 5 2005 528 534 (Pubitemid 41419799)
28. E. Levenberg Viscoplastic response and modeling of asphalt-aggregate mixes Mater Struct 42 8 2009 1139 1151
29. Y. Ye Modified Schapery's model for asphalt sand J Eng Mech ASCE 136 4 2010 448 454
30. A. Sides, J. Uzan, and M. Perl A comprehensive viscoelasto-plastic characterization of sand-asphalt compressive and tensile cyclic loading J Test Eval 13 1 1985 49 59 (Pubitemid 15513448)
31. Y. Lu, and P.J. Wright Numerical approach of visco-elastoplastic analysis for asphalt mixtures Comput Struct 69 1998 139 147 (Pubitemid 128414829)
32. V.S. Deshpande, and D. Cebon Steady-state constitutive relationship for idealised asphalt mixes Mech Mater 31 1999 271 287
33. Y. Lu, and P.J. Wright Temperature related visco-elastoplastic properties of asphalt mixtures J Transp Eng ASCE 126 1 2000 58 65
34. J. Hua, and T. White A study of nonlinear tire contact pressure effects on HMA rutting Int J Geomech ASCE 2 3 2002 353 376
35. J.M. González, Canet J. Miquel, R. Miró, and S. Oller A viscoplastic constitutive model with strain rate variables for asphalt mixtures - numerical simulation Comput Mater Sci 38 4 2007 543 560 (Pubitemid 46131441)
36. J. Yang, H. Lu, and H. Zhu Approaches to rut depth prediction in semirigid asphalt pavements J Eng Mech ASCE 135 6 2009 510 516
37. J.M. Krishnan, and K.R. Rajagopal Thermodynamics framework for constitutive modeling of asphalt concrete: theory and applications J Mater Civ Eng ASCE 16 2 2004 155 166 (Pubitemid 38462874)
38. S. Koneru, E. Masad, and K.R. Rajagopal A thermomechanical framework for modeling the compaction of asphalt mixes Mech Mater 40 10 2008 846 864
39. P. Ravindran, J.M. Krishnan, E. Masad, and K.R. Rajagopal Modeling sand-asphalt mixtures within a thermodynamics framework: theory and application to torsion experiments Int J Pavement Eng 10 2 2009 115 131
40. A. Drescher, N. Kringos, and T. Scarpas On the behavior of a parallel elasto-visco-plastic model for asphaltic materials Mech Mater 42 2 2010 109 117
41. M.F. Horstemeyer, and D.J. Bammann Historical review of internal state variable theory for inelasticity Int J Plast 26 2010 1310 1334
42. G.A. Maugin The thermomechanics of plasticity and fracture 1992 Cambridge University Press Cambridge
43. G.T. Houlsby, and A.M. Puzrin A thermomechanical framework for constitutive models for rate-independent dissipative materials Int J Plast 16 9 2000 1017 1047
44. G.T. Houlsby, and A.M. Puzrin Rate-dependent plasticity models derived from potential functions J Rheol 46 1 2002 113 126 (Pubitemid 34491259)
45. G.T. Houlsby, and A.M. Puzrin Principles of hyperplasticity 2006 Springer-Verlag London
46. H. Ziegler An introduction thermomechanics 2nd ed. 1983 North-Holland Publishing Company Amsterdam
47. J.-L. Chaboche Cyclic viscoplastic constitutive equations, Part I: a thermodynamically consistent formulation J Appl Mech ASME 1993 813 821
48. NCHRP 9-29. Equipment specification for the simple performance test system. Washington DC: Transportation Research Board, National Research Council; 2007.
49. Foo KY. Predicting rutting in hot mix asphalt. Ph.D dissertation. Auburn University; 1994.
50. C.L. Monismith, and B.A. Vallerga Relationship between density and stability of asphaltic paving mixtures J Assoc Asphalt Paving Technol 25 1956 89 108
51. S. Mun, G.R. Chehab, and Y.R. Kim Determination of time-domain viscoelastic functions using optimized interconversion techniques Road Mater Pavement Des 8 2 2007 351 365
52. W.F. Knoff, and I.L. Hopkins An improved numerical interconversion for creep compliance and relaxation modulus J Appl Polym Sci 16 11 1972 2963 2972
53. Y. Zhu, L. Sun, and H. Xu L-curve based Tikhonov's regularization method for determining relaxation modulus from creep test J Appl Mech ASME 78 2011 031002-1
54. R.W. Klopfenstein Numerical differentiation formulas for stiff systems of ordinary differential equations RCA Rev 32 1971 447 462
55. Y. Zhu, L. Sun, H. Zhu, and W. Xiang A constitutive model of viscoelastic-viscoplastic solids based on thermodynamics Chin Quart Mech 31 4 2010 449 459
56. J.A. Nelder, and R.A. Mead Simplex method for function minimization Comput J 7 1965 308 313
57. J.C. Lagarias, J.A. Reeds, M.H. Wright, and P.E. Wright Convergence properties of the Nelder-Mead simplex method in low dimensions SIAM J Optim 9 1 1998 112 147
58. Ross C. Mechanics of solids. City: Albion/Horwood Pub.; 1999. ISBN 978-1-898563-67-9.
59. J.W. Yoon, F. Barlat, K. Chung, F. Pourboghrat, and D.Y. Yang Influence of initial back stress on the earing prediction of drawn cups for planar anisotropic aluminum sheets J Mater Process Technol 80-81 1998 433 437 (Pubitemid 128639041)
60. K. Ho A unified constitutive law for cyclic viscoplasticity Int J Solids Struct 46 5 2009 1007 1018