Modelling the linear viscoelastic rheological properties of bituminous binders

Construction and Building Materials

Volumn 25, Issue 5, 2011, Pages 2171-2189

  Yusoff, Nur Izzi Md ^a   Shaw, Montgomery T ^b   Airey, Gordon D ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^b UNIVERSITY OF CONNECTICUT   (United States)

Author keywords

Linear viscoelastic; Mathematic algebraic equations; Mechanical element approaches; Modelling; Thermorheologically simple

Indexed keywords

LINEAR VISCOELASTIC; MATHEMATIC ALGEBRAIC EQUATIONS; MECHANICAL ELEMENTS; MODELLING; THERMORHEOLOGICALLY SIMPLE;

ALGEBRA; BITUMINOUS MATERIALS; MATERIALS PROPERTIES; NONLINEAR EQUATIONS; PHASE TRANSITIONS; VISCOELASTICITY;

RHEOLOGY;

EID: 79551611119     PISSN: 09500618     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.conbuildmat.2010.11.086     Document Type: Review

References (109)

1. F.J. Nellenstyen The constitution of asphalt J Inst Petrol Technol 10 1924 311 325
2. C.J. Mack Collid chemistry of asphalts J Phys Chem 36 1932 2901 2914
3. J.P. Pfeiffer, and R.N.J. Saal Asphaltic bitumen as colloidal system J Phys Chem 44 1940 139 149
4. J.W.A. Labout Constitution of asphaltic bitumens J.P. Pfeiffer, The properties of asphaltic bitumen 1950 Elsevier New York 13 48
5. R.N.J. Saal, and J.W.A. Labout Rheological properties of asphalts F.R. Eirich, Theory and applications vol. 2 1958 Academic Press New York [Chapter 9]
6. R.B. Girder Constitution of asphaltenes and related studies Proc Assoc Asphalt Paving Technol 34 1965 45 79
7. J.C. Halstead Relation of asphalt chemistry to physical properties and specifications Proc Assoc Asphalt Paving Technol 54 1985 91 117
8. Petersen JC, Robertson RE, Branhaver JF, Harnsberger PM, Duvall JJ, Kim SS, et al. Binder characterization and evaluation, vol. 1. SHRP-A-367; 1994.
9. Airey GD. Rheological characteristics of polymer modified and aged bitumens. PhD thesis, University of Nottingham; 1997.
10. J. Read, and D. Whiteoak The shell bitumen handbook 5th ed. 2003 Thomas Telford Publishing London
11. D. Leuseur The colloidal structure of bitumen: consequences on the rheology and on the mechanisms of bitumen modification Adv Colloid Interface Sci 145 2009 42 82
12. H. Di Benedetto, and F. Olard DBN law for the thermo-visco-elasto-plastic behavior of asphaltic concrete Y.R. Kim, Modeling of asphalt concrete 2009 McGraw Hill New York 245 265
13. J.D. Ferry Viscoelastic properties of polymers 1980 John Willey & Sons New York
14. L.N. Mohammad, Z. Wu, L. Myres, S. Cooper, and C. Abadie A practical look at simple performance tests: Louisiana's experience J Assoc Asphalt Paving Technol 74 2005 557 600
15. C. Van der Poel A general system describing the viscoelastic properties of bitumens and its relation to routine test data J Appl Chem 4 1954 231 236
16. W. Heukolem, and J.G. Klomp Road design and dynamic loading Proc Assoc Asphalt Paving Technol 33 1964 92 125
17. Eurobitume. First European workshop on the rheology of bituminous binders. European Bitumen Association, Brussel; 1995.
18. G.R. Dobson The dynamic mechanical properties of bitumen Proc Assoc Asphalt Paving Technol 38 1969 123 135
19. R. Jongepier, and B. Kuilman Characteristics of the rheology of bitumens Proc Assoc Asphalt Paving Technol 38 1969 98 122
20. E.J. Dickinson, and H.P. Witt The dynamic shear modulus of paving asphalts as function of frequency Trans Soc Rheol 4 1974 591 606
21. D.W. Christensen, and D.A. Anderson Interpretation of dynamic mechanical test data for paving grade asphalt J Assoc Asphalt Paving Technol 61 1992 67 116
22. Anderson DA, Christensen DW, Bahia HU, Dongré R, Sharma MG, Antle CE, et al. Binder characterization and evaluation, vol. 3: physical characterization. SHRP-A-369; 1994.
23. D. Lesueur, J.F. Gerard, P. Claudy, J.M. Letoffe, J.P. Plance, and D.A. Martin A structure related model to describe asphalt linear viscoelasticity J Rheol 40 1996 813 836 (Pubitemid 126572281)
24. H.A. Barnes, J.F. Hutton, and K. Walters An introduction to rheology vol. 3 1989 Elsevier Science Publishers Netherland
25. F.M. Saleh Effect of rheology on the bitumen foamability and mechanical properties of foam bitumen stabilised mixes Int J Pavement Eng 8 2007 99 110
26. G.D. Airey Use of black diagrams to identify inconsistencies in rheological data Road Mater Pavement 3 2002 403 424
27. T.G. Mezger The rheology handbook 2nd ed. 2006 William Andrew Publisher Hannover
28. J.L. Goodrich Asphalt and polymer modified asphalt properties related to the performance of asphalt concrete mixes Proc Assoc Asphalt Paving Technol 57 1988 116 175
29. C.L. Monismith, R.L. Alexander, and K.E. Secor Rheological behaviour of asphalt concrete Proc Assoc Asphalt Paving Technol 35 1966 400 450
30. Medani TO, Huurman M. Constructing the stiffness master curves for asphaltic mixes. Report 7-01-127-3, Delft University and Technology; 2003.
31. M.L. Williams, R.F. Landel, and J.D. Ferry The temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids J Am Chem Soc 77 1955 3701 3707
32. R.I. Tanner Engineering rheology 2nd ed. 2000 Oxford University Press Britain
33. M.T. Shaw, and W.J. MacKnight Introduction to polymer viscoelasticity 2005 John Wiley & Sons New Jersey
34. A.A. Kadi, B. Brahimi, and M. Bousmina Polymer blends for enhanced asphalt binders Polym Eng Sci 36 1996 1724 1733 (Pubitemid 126587170)
35. P.C. Painter, and M.M. Coleman Fundamentals of polymer science: an introductory text 2nd ed. 1997 Technomic Publishing Co. Inc. Basel
36. Y. Ruan, R.R. Davison, and C.J. Glover The effect of long term oxidation on the rheological properties of polymer modified asphalts Fuel 82 2002 1763 1773
37. G.M. Morales, P. Partal, F.J. Navarro, F. Martínez-Boza, and C. Gallegos Linear viscoelasticity of recycled EVA-modified bitumens Energy Fuels 18 2004 357 364
38. G.M. Morales, P. Partal, F.J. Navarro, F. Martínez-Boza, C. Gallegos, and N. Gonzáles Viscous properties and microstructure of recycled EVA modified bitumen Fuel 83 2004 31 38
39. R. Dongré, L. Myres, J. D'Angelo, C. Paugh, and J. Gudimettla Field evaluation of Witczak and Hirsh models for predicting dynamic modulus of hot-mix asphalt J Assoc Asphalt Paving Technol 74 2005 381 442
40. Garcia G, Thompson MR. HMA dynamic modulus predictive models: a review. Research report FHWA-ICT-07-2005; 2007.
41. Y.H. Huang Pavement analysis and design 2nd ed. 2004 Prentice Hall New Jersey
42. Pellinen TK, Witczak MW, Bonaquist RF. Asphalt mix master curve construction using sigmoidal fitting function with nonlinear least squares optimization technique. In: Proceedings of 15th ASCE engineering mechanics conference, Columbia University, New York; 2002.
43. M.W. Mirza, and M.W. Witczak Development of a global aging system for short and long term aging of asphalt cements J Assoc Asphalt Paving Technol 64 1995 393 430
44. G.V. Gordon, and M.T. Shaw Computer programs for rheologists 1994 Hanser/Gadner Publication
45. E. Chailleux, G. Ramond, and C. de la Roche A mathematical-based master curve construction method applied to complex modulus of bituminous materials Road Mater Pavement 7 2006 75 92
46. M. Marateanu, and D. Anderson Time temperature dependency of asphalt binders - an improved model J Assoc Asphalt Paving Technol 65 1996 407 448
47. Plance JP, Leseuer D, Hines ML, King GN. Evaluation of elastomer modified bitumens using SHRP binder specifications. In: Proceedings of the euroasphalt & eurobitume congress session 5: binders-functional properties and performance testing, E&E.5.121. Strasbourg; 1996.
48. Philips MC. Developments in specifications for bitumens and polymer modified binders, mainly from a rheological point of view. In: Cabrera JG, editor. Proceedings of the 2nd European symposium on the performance and durability of bituminous materials. Leeds; 1997. p. 3-18.
49. C. Van der Poel Time and temperature effects on the deformation of asphaltic bitumens and bitumen mineral mixtures J Soc Plast Eng 11 1955 47 53
50. E.J. Yoder, and M.W. Witczak Principle of pavement design 2nd ed. 1975 John Wiley & Sons New York
51. T.D. Khong, S.L. Malhotra, and L.P. Blanchard Rheological behaviour of asphalts Rheol Acta 18 1979 382 391
52. Franken L. Bituminous binders and mixes; state of art and inter-laboratory tests on mechanical behaviour and mix design. RILEM report 17: E & FN Spon; 1998.
53. Van de Ven MFC, Jenkins KJ, Bahia HU. Concepts used for development of bitumens specifications. In: CAPSA '04, 8th conference on asphalt pavements for Southern Africa, roads the arteries of Africa, Sun City, South Africa. Paper no. 070; 2004.
54. W. Heukelom Observations on the rheology and fracture of bitumens and asphalt mixes Proc Assoc Asphalt Paving Technol 36 1966 359 397
55. F. Bonnaure, G. Gest, A. Gravois, and P. Uge A new method of predicting the stiffness of asphalt paving mixtures Proc Assoc Asphalt Paving Technol 46 1977 64 104
56. P. Ullidtz A fundamental method for the prediction of roughness, rutting and cracking in asphalt pavements Proc Assoc Asphalt Paving Technol 48 1979 557 586
57. N. Thom Principle of pavement engineering 2008 Thomas Telford Publishing London
58. P. Ullidtz, and B.K. Larsen Mathematical model for predicting pavement performance Transport Res Rec 949 1983 45 55 (Pubitemid 15434850)
59. W. Heukolem An improved method of characterizing asphaltic bitumens with the aid of their mechanical properties Proc Assoc Asphalt Paving Technol 42 1973 67 98
60. N.W. McLeod A 4 year survey of low temperature transverse pavement cracking on three Ontario test roads Proc Assoc Asphalt Paving Technol 41 1972 424 493
61. Gershoff DR, Carswell J, Nicholls JC. Rheological properties of polymer-modified binders for use in rolled asphalt wearing course. Transport Res Lab 157. Thomas Telford Ltd.; 1999.
62. M. Zeng, H.U. Bahia, H. Zhai, M.R. Anderson, and P. Turner Rheological modeling of modified asphalt binders and mixtures J Assoc Asphalt Paving Technol 70 2001 403 441 (Pubitemid 40167676)
63. N.W. McLeod Asphalt cements: pen-vis number and its application to moduli of stiffness J Test Eval 4 1976 275 282
64. N.W. McLeod Using paving asphalt rheology to impair or improve asphalt pavement design performance O.E. Briscoe, Asphalt rheology: relationship to mixture, ASTM STP 941 1987 American Society for Testing and Materials Philadelphia 51 57
65. F.L. Roberts, P.S. Kandhal, E.R. Brown, D.Y. Lee, and T.W. Kennedy Hot mix asphalt materials mixture design and construction 2nd ed. 1996 NAPA Education Foundation Maryland
66. R. Jongepier, and B. Kuilman The dynamic shear modulus of bitumens as a function of frequency and temperature Rheol Acta 9 1970 102 111
67. H.R. Soleymani, H.U. Bahia, and A.T. Bergan Time-temperature dependency of blended and rejuvenated asphalt binders J Assoc Asphalt Paving Technol 68 1999 129 152
68. J.G. Brodynan, F.H. Gaskins, W. Philippoff, and E. Thelen The rheology of asphalt III: dynamic mechanical properties of asphalt J Rheol 4 1960 279 296
69. M.A. Elseifi, I. Al-Qadi, G.W. Flincsh, and J.F. Masson Viscoelastic modeling of straight run and modified binders using the matching function approach Int J Pavement Eng 3 2002 53 61
70. J. Honerkamp Ill-posed problems in rheology Rheol Acta 28 1989 363 371
71. C. Friedrich, J. Honerkamp, and J. Weese New ill-posed problems in rheology Rheol Acta 35 1996 186 190 (Pubitemid 126579811)
72. G.R. Dobson On the development of rational specifications for the rheological properties of bitumen J Inst Petrol 58 1972 14 24
73. Reubush SD. Effects of storage on the linear viscoelastic response of polymer modified asphalt at intermediate to high temperature. MSc dissertation, Virginia Polytechnic Institute and State University; 1999.
74. S. Maccarrone Rheological properties of weathered asphalts extracted from sprayed seals nearing distress conditions Proc Assoc Asphalt Paving Technol 56 1987 654 687
75. F. Olard, H. Di Benedetto, and B. Eckmann Linear viscoelastic properties of bituminous binders and mixtures at low and intermediate temperatures Road Mater Pavement 4 2003 185 224
76. L.S.D. Silva, M.M.D.C. Forte, L.D.A. Vignol, and N.S.M. Cardozo Study of rheological properties of pure and polymer-modified Brazilian asphalt binders J Mater Sci 39 2004 539 546
77. J. Stastna, D. De Kee, and M.B. Powley Complex viscosity as a generalized response function J Rheol 29 1985 457 469 (Pubitemid 15568003)
78. J. Stastna, L. Zanzotto, and K. Ho Fractional complex modulus manifest in asphalt Rheol Acta 33 1994 344 354
79. J. Stastna, L. Zanzotto, and G. Kennepohl Dynamic material functions and the structure of asphalts Transport Res Rec 1535 1996 3 9 (Pubitemid 126537231)
80. J. Stastna, L. Zanzotto, and J. Berti How good are some rheological models of dynamic material functions of asphalt? J Assoc Asphalt Paving Technol 66 1997 458 479
81. J. Stastna, and L. Zanzotto Linear response of regular asphalts to external harmonic fields J Rheol 43 1999 719 734 (Pubitemid 129564109)
82. Stastna J, Zanzotto L. Response to "letter to the editor: on the thermorheological complexity and relaxation of asphalt cements" [J Rheol 1999;43:1701]. J Rheol 1999;43:1705-8.
83. L. Zanzotto, J. Stastna, and K. Ho Characterization of regular and modified bitumens via their complex moduli J Appl Polym Sci 59 1996 1897 1905 (Pubitemid 126535100)
84. D. Lesueur Letter to the editor: on the thermorheological complexity and relaxation of asphalt cements J Rheol 43 1999 170 1704
85. Marasteanu O, Anderson DA. Improved model for bitumen rheological characterization. Eurobitume workshop on performance related properties for bitumens binder. Luxembourg. Paper no. 133; 1999.
86. Marasteanu O. Interconversions of the linear viscoelastic functions used for the rheological characterisation of asphalt binders. PhD dissertation, Pennsylvania State University; 1999.
87. X. Li, A. Zofka, M. Marasteanu, and T.R. Clyne Evaluation of field aging effects on asphalt binder properties Road Mater Pavement 7 2006 57 73
88. F. Olard, and H. Di Benedetto General "2S2P1D" model and relation between the linear viscoelastic behaviours of bituminous binders and mixes Road Mater Pavement 4 2003 185 224
89. R. Bonaquist, and D.W. Christensen Practical procedure for developing dynamic modulus master curves for pavement structural design Transport Res Rec 1929 2005 208 217
90. K.G. Biswas, and T.K. Pellinen Practical methodology of determining the in situ dynamic (complex) moduli for engineering analysis J Mater Civ Eng 19 2007 508 513
91. Medani TO, Huurman M, Molenaar AAA. On the computation of master curves for bituminous mixes. In: Proceedings of 3rd eurobitume congress, vol. 2, Vienna; 2004. p. 1909-17.
92. Rowe G, Baumgardner G, Sharrock M. Functional forms for master curve analysis of bituminous materials. In: Proceedings of the 7th international RILEM symposium ATCBM09 on advanced testing and characterization of bituminous materials, vol. 1. Rhodes, Greece; 2009. p. 81-91.
93. H.C. Booij, and G.P.J.M. Thoone Generalization of Kramers-Kronig transforms and some approximations of relations between viscoelastic quantities Rheol Acta 21 1982 15 24
94. Marasteanu MO, Anderson DA. Booij and Thoone approximation and bitumen relaxation spectrum generation. Eurobitume workshop for performance related properties for bituminous binders Luxembourg. Paper no. 134; 1999.
95. J. Bari, and M.W. Witczak New predictive models for viscosity and complex shear modulus of asphalt binders: for use with mechanistic-empirical pavement design guide Transport Res Rec 2001 2007 9 19 (Pubitemid 351190550)
96. N.H. Tran, and K.D. Hall Evaluating the predictive equation in determining dynamic moduli of typical asphalt mixtures used in Arkansas Electronic J Assoc Asphalt Paving Technol 2005 74E
97. Rowe GM. A generalized logistic function to describe the master curve stiffness properties of binder mastics and mixtures. In: 45th Petersen asphalt research conference, Laramie, Wyoming; 2008.
98. Huet C. Étude par une methods d'impédance du comportement viscoélastique des matériaux hydrocarbons. These de Docteur-Ingenieur, Faculté des Science de Paris; 1963 [in French].
99. Sayegh G. Viscoelastic properties of bituminous mixtures. In: Proceedings of the 2nd international conference on structural design of asphalt pavement, held. Rackham Lecture Hall, University of Michigan, Ann Arbor; 1967. p. 743-55.
100. Blab R, Kappl K, Lackner R, Aiger L. Sustainable and advance materials for road infrastructure (SAMARIS) report. Permanent deformation of bituminous bound materials in flexible pavements: evaluation of test methods and prediction models SAM-05-D28; 2006.
101. Pronk AC. Revival of the Huet-Sayegh response model - notes on the Huet-Sayegh rheological model. DWW-2003-029, RHED; 2003.
102. Pronk AC. The Huet-Sayegh Model: a simple and excellent rheological model for master curves of asphaltic mixes. In: Masad E, Panoskaltsis VP, Wang L, editors. Asphalt concrete simulations, modeling and experimental characterization. Proceedings of the R. Lytton symposium on mechanics of flexible pavements, Baton Rouge, Louisiana, ASCE; 2005. p. 73-82.
103. Pronk AC. The variable dashpot. DWW-2003-030, RHED; 2003.
104. F. Olard, and H. Di Benedetto The "DBN" Model: a thermo-visco-elasto plastic approach for pavement behavior modeling J Assoc Asphalt Paving Technol 74 2005 791 828
105. F. Olard, and H. Di Benedetto Thermo-visco-elasto-plastic law for bituminous mixes: simulation of direct tensile tests and restrained thermal shrinkage Bull Des Laboratories Des Ponts Et. Chaussées 254 2005 15 39 (Pubitemid 40665834)
106. H. Di Benedetto, N. Mondher, C. Sauzeat, and F. Olard Three-dimensional thermo-viscoplastic behaviour of bituminous materials: the DBN Model Road Mater Pavement 8 2007 285 315
107. H. Di Benedetto, F. Olard, C. Sauzeat, and B. Delaporte Linear viscoelastic behaviour of bituminous materials: from binders to mixes Road Mater Pavement 5 2004 163 202
108. T.K. Pellinen, A. Zofka, M. Marasteanu, and N. Funk The use of asphalt mixture stiffness predictive models J Assoc Asphalt Paving Technol 7 2007 575 626
109. B. Delaporte, H. Di Benedetto, P. Chaverot, and G. Gauthier Linear viscoelastic properties of bituminous materials; from binders to mastics J Assoc Asphalt Paving Technol 76 2007 455 494