Experimental validation of a fractional model for creep/recovery testing of asphalt mixtures

Construction and Building Materials

Volumn 36, Issue , 2012, Pages 458-466

  Celauro, C ^a   Fecarotti, C ^a   Pirrotta, A ^a   Collop, A C ^b  

^a UNIVERSITY OF PALERMO   (Italy)

^b DE MONTFORT UNIVERSITY   (United Kingdom)

Author keywords

Asphalt; Creep recovery testing; Experimental validation; Fractional model

Indexed keywords

ANALOGICAL MODELS; COMPUTATIONAL EFFORT; CONSTITUTIVE LAW; CREEP AND RECOVERY; CREEP DATA; DECAY LAW; EXPERIMENTAL DATA; EXPERIMENTAL VALIDATIONS; EXPONENTIAL TYPE; FIRST ORDER DERIVATIVES; FITTING PROCEDURE; FRACTIONAL MODEL; LOADING CONDITION; OPERATING CONDITION; RHEOLOGICAL MODELS; SETTING PARAMETERS; TEMPERATURE CONDITIONS; VISCO-ELASTIC;

ASPHALT; ASPHALT MIXTURES; BITUMINOUS MATERIALS; CREEP;

LOADING;

EID: 84863460624     PISSN: 09500618     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.conbuildmat.2012.04.028     Document Type: Article

References (29)

1. Collop AC, et al. Development of an elasto-visco-plastic constitutive model for asphalt. In: Atluri SA, editor. ICCES'03, international conference on computational and experimental engineering and science. Corfu; 2003.
2. Celauro C, Collop AC, Scarpas A. Experimental characterization of asphalt for an elasto-visco-plastic constitutive model. In: Palermo, editor. Proc of the 4th international SIIV congress. Grafill; 2007. p. 1-17.
3. Blaauwendraad J, Scarpas A. Experimental calibration of a constitutive model for asphaltic concrete. In: Proc Euro-C conference on the computational modeling of concrete structures. Badgastein; 1998. p. 193-202.
4. M.K. Darabi, R.K. Abu Al-Rub, E.A. Masad, and D.N. Little Thermodynamic-based model for coupling temperature-dependent viscoelastic, viscoplastic, and viscodamage constitutive behavior of asphalt mixtures Int J Numer Anal Meth Geomech 2011
5. Erkens SMJG, Liu X, Scarpas A, Kasbergen C. Issues in the constitutive modelling of asphalt concrete. In: Proc 3rd int symp on 3D finite elements for pavement analysis, design and research. Amsterdam; 2002. p. 475-94.
6. F.L. Roberts, P.S. Khandal, E.R. Brown, D. Lee, and W.K. Kennedy Hot mix asphalt materials, mixture design, and construction 2nd ed. 1996 National Asphalt Pavement Association Research and Education Foundation Maryland
7. P.G. Nutting A new general law deformation J Franklin Inst 191 1921 678 685
8. A. Gemant Physics 7 1936 311 317
9. G.W. Scott-Blair Proc Royal Soc (London) 189 1947 69 87
10. G.W. Scott-Blair, and J.E. Gaffin An application of the theory of quasi-properties to the treatment of anomalous strain-stress relations Philos Mag 40 1949 80 94
11. G.L. Slonimsky Laws of mechanical relaxation processes in polymers J Polym Sci 16 1967 1667 1672
12. W. Smit, and H. de Vrie Rheological models containing fractional derivatives Rheol Acta 9 1970 525 534
13. R.L. Bagley, and P.J. Torvik A theoretical basis for the application of fractional calculus to viscoelasticity J Rheol 27 3 1983 201 210
14. R.L. Bagley, and P.J. Torvik On fractional calculus model of viscoelastic behavior J Rheol 30 1 1986 133 155
15. R.C. Koeller Application of fractional calculus to the theory of viscoelasticity J Appl Mech 51 1984 299 307
16. H. Schiessel, R. Metzler, A. Blumen, and T.F. Nonnenmacher Generalized viscoelastic models: their fractional equations with solutions J Phys A: Math Gen 28 1995 6567 6584
17. A. Schmidt, and L. Gaul Finite element formulation of viscoelastic constitutive equations using fractional time derivatives Nonlinear Dynam 29 2002 37 55
18. E. Soczkiewicz Application of fractional calculus in the theory of viscoelasticity Mol Quantum Acoust 23 2002 397 404
19. Podlubny PA. On solving fractional differential equations by Mathematics. Sci Eng, vol. 198. Academic Press; 1999.
20. J. Stastna, L. Zanzotto, and K. Ho Fractional complex modulus manifested in asphalts Rheol Acta 33 1994 344 354
21. M. Oeser, T. Pellinen, A. Scarpas, and C. Kasbergen Studies on creep and recovery of rheological bodies based upon conventional and fractional formulations and their application on asphalt mixture Int J Pavement Eng 9 5 2008 373 386
22. W.N. Findley, K. Onaran, and J.S. Lai Creep and relaxation of nonlinear viscoelastic materials with an introduction to linear viscoelasticity 1976 North Holland Publishing Company Amsterdam-New York-Oxford
23. W. Flugge Viscoelasticity 1967 Blaisdell Publishing Company Massachussets
24. J.M. Burgers Mechanical considerations-model systems-phenomenological theories of relaxation and of viscosity 1935 Nordemann Publishing Company New York
25. F. Mainardi, and R. Gorenflo Time-fractional derivatives in relaxation processes: a tutorial survey Fract Calc Appl Anal 10 3 2007 269 308
26. K.B. Oldham, and J. Spanier The fractional calculus 1974 Academic Press
27. J. Sabatier, O.P. Agraval, and J.A. Tenreiro Machado Advanced in fractional calculus-Theoretical developments and applications in physics and engineering 2007 Springer
28. G.S. Samko, A.A. Kilbas, and O.I. Marichev Fractional integrals and derivatives 1993 Gordon and Breach Science Publisher Amsterdam
29. M. Di Paola, A. Pirrotta, and A. Valenza Visco-elastic behavior through fractional calculus: an easier method for best fitting experimental results Mech Mater 43 12 2011 799 806