226
Views
13
CrossRef citations to date
0
Altmetric
Original Articles

Modelling sand–asphalt mixtures within a thermodynamic framework: theory and application to torsion experiments

, , &
Pages 115-131 | Received 15 Jan 2008, Accepted 10 Feb 2008, Published online: 26 Feb 2009

References

  • Boutin , C. and Auriault , J.L. 1990 . Dynamic behaviour of porous media saturated by a viscoelastic fluid: Application to bituminous concretes . International Journal of Engineering Science , 28 : 1157 – 1181 .
  • Desai , C.S. 2002 . “ Mechanistic pavement analysis and design using unified material and computer models ” . In Proceedings of the 3rd international symposium on 3D finite element for pavement analysis, design and research Amsterdam, The Netherlands
  • Erkens , S.M.J.G. , Molenaar , A.A.A. and Scarpas , A. 2003 . “ A better understanding of asphalt concrete response ” . In Proceedings of the 16th engineering mechanics conference , Seattle : University of Washington . ASCE
  • Florea , D. 1994a . Associated elastic/viscoelastic model for bituminous concrete . International Journal of Engineering Science , 32 : 79 – 86 .
  • Florea , D. 1994b . Nonassociated elastic/viscoelastic model for bituminous concrete . International Journal of Engineering Science , 32 : 87 – 93 .
  • Flory , A.L. and McKenna , G.B. 2005 . Chemical structure–normal force relationships in polymer glasses . Polymer , 46 : 5211 – 5217 .
  • Green , A.E. and Naghdi , P.M. 1977 . On thermodynamics and nature of the second law . Proceedings of the Royal Society London, Series A , 357 : 253 – 270 .
  • Kasula , L.R. , Krishnan , J.M. , Rajagopal , K.R. and Little , D.N. 2005 . Normal stress and stress relaxation data for sand–asphalt undergoing torsional flow . Mechanics Research Communication , 32 : 43 – 52 .
  • Kim , Y. and Little , D.N. 1990 . One-dimensional constitutive modeling of asphalt concrete . Journal of Engineering Mechanics , 116 ( 4 ) : 751 – 772 .
  • Krishnan , J.M. and Rajagopal , K.R. 2003 . Review of the uses and modeling of bitumen from ancient to modern times . Applied Mechanics Review , 56 : 149 – 214 .
  • Krishnan , J.M. and Rajagopal , K.R. 2004 . Triaxial testing and stress relaxation of asphalt concrete . Mechanics of Materials , 36 ( 9 ) : 849 – 864 .
  • Krishnan , J.M. and Rajagopal , K.R. 2005 . On the mechanical behavior of asphalt . Mechanics of Materials , 37 ( 11 ) : 1085 – 1100 .
  • Krishnan , J.M. and Rao , C.L. 2000 . Air voids reduction of asphalt concrete using mixture theory . International Journal of Engineering Science , 38 : 1331 – 1354 .
  • Krishnan , J.M. , Rajagopal , K.R. , Masad , E. and Little , D.N. 2006 . Thermomechanical framework for the constitutive modeling of asphalt concrete . International Journal of Geomechanics , 6 ( 1 ) : 36 – 45 .
  • Lai , J. and Findley , W.N. 1969 . Combined tension–torsion creep experiments on polycarbonate in the nonlinear range . Journal of Polymer Engineering and Science , 9 : 378 – 382 .
  • Lee , H.J. and Kim , Y.R. 1998 . Viscoelastic continuum damage model of asphalt concrete with healing . Journal of Engineering Mechanics , 124 ( 11 ) : 1224 – 1232 .
  • Lee , A.R. and Marwick , A.H.D. 1937 . The mechanical properties of bituminous surfacing materials under constant stress . Journal of Society Chemical Industries , 56 : 146T – 156T .
  • Masad , E. , Tashman , L. , Somadevan , N. and Little , D. 2002 . Micromechanics based analysis of stiffness anisotropy in asphalt mixtures . Journal of Materials in Civil Engineering , 14 : 347 – 383 .
  • Masad , E. , Tashman , L. , Little , D. and Zbib , H. 2005 . Viscoplastic modeling of asphalt mixes with the effects of anisotropy, damage and aggregate characteristics . Mechanics of Materials , 37 ( 12 ) : 1242 – 1256 .
  • Moavenzadeh , F. and Soussou , J. 1968 . Viscoelastic constitutive equations for sand–asphalt mixture . Highway Research Record , 256 : 36 – 52 .
  • Pagen , C. 1965 . Rhelogical response of bituminous concrete . Highway Research Record , 67 : 1 – 26 .
  • 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 , 24 : 241 – 255 .
  • Perl , M. , Uzan , J. and Sides , A. 1983 . Visco-elastic-plastic constitutive law for a bituminous mixture under repeated loading . Transportation Research Record , 911 : 20 – 27 .
  • Pradeep , H. , Krishnan , J.M. , Rajagopal , K.R. , Masad , E. and Little , D.N. 2005 . Modelling constant displacement rate experiments of asphalt concrete using a thermodynamic framework . International Journal of Pavement Engineering , 6 ( 4 ) : 241 – 256 .
  • Rajagopal , K.R. 1995 . Multiple configurations in continuum mechanics. Technical Report Report Volume 6, Institute for Computational and Applied Mechanics , Pittsburgh, PA : University of Pittsburgh .
  • Rajagopal , K.R. and Srinivasa , A.R. 1998a . Mechanics of the inelastic behavior of materials. Part I: Theoretical underpinnings . International Journal of Plasticity , 14 : 945 – 967 .
  • Rajagopal , K.R. and Srinivasa , A.R. 1998b . Mechanics of the inelastic behavior of materials. Part II: Inelastic response . International Journal of Plasticity , 14 : 969 – 995 .
  • Rajagopal , K.R. and Srinivasa , A.R. 2000 . A thermodynamic frame work for rate type fluid models . Journal of Non-Newton Fluid , 88 ( 3 ) : 207 – 227 .
  • Rajagopal , K.R. and Srinivasa , A.R. 2001 . Modeling anisotropic fluids within the framework of bodies with multiple natural configuration . Journal of Non-Newton Fluid , 99 : 109 – 124 .
  • Rajagopal , K.R. and Srinivasa , A.R. 2004a . On the thermomechanics of materials that have multiple natural configurations – Part I: Viscoelasticity and classical plasticity . Zeitschrift Fur Angewandte Mathematik und Physik , 55 ( 5 ) : 861 – 893 .
  • Rajagopal , K.R. and Srinivasa , A.R. 2004b . On the thermomechanics of materials that have multiple natural configurations – Part II: Twinning and solid to solid phase transformation . Zeitschrift Fur Angewandte Mathematik und Physik , 55 ( 6 ) : 1074 – 1093 .
  • Rajagopal , K.R. and Srinivasa , A.R. 2005 . A note on a correspondence principle in nonlinear viscoelastic materials . International Journal of Fracture , 131 ( 4 ) : 47 – 52 .
  • Ravindran , P. 2006 . A study of sand–asphalt mixtures: A constitutive model based on a thermomechanical framework and experimental corroboration , College Station, TX, USA : Texas A&M University . Thesis (PhD)
  • Ravindran , P. , Krishnan , J.M. , Little , D.N. and Rajagopal , K.R. 2007a . An experimental investigation into the influence of fillers on the development of normal stresses and stress relaxation in asphalt mixtures due to torsion . Particulate Science and Technology , 25 ( 4 ) : 309 – 325 .
  • Ravindran , P. , Krishnan , J.M. and Rajagopal , K.R. 2007b . Characterization of the non-linear response of asphalt mixtures using a torsional rheometer . Mechanics Research Communications , 34 ( 5–6 ) : 432 – 443 .
  • Read , J. and Whiteoak , D. 2003 . The shell bitumen handbook , 5th ed. , United Kingdom : Thomas Telford Ltd .
  • Saal , R.N.J. 1950 . “ Physical properties of asphaltic bitumen: Rheological properties ” . In In: The properties of asphaltic bitumen , 49 – 76 . Amsterdam : Elsevier .
  • Scarpas , A. , van Gurp , C. , Al-Khoury , R. and Erkens , S. 1997 . “ Finite elements simulation of damage development in asphalt concrete pavements ” . In International conference on asphalt concrete pavements Seattle, Washington
  • Schapery , R.A. 1984 . Correspondence principles and a generalized J integral for large deformation and fracture-analysis of viscoelastic media . International Journal of Fracture , 25 : 195 – 223 .
  • Secor , K.E. and Monismith , C.L. 1962 . Viscoelastic properties of asphalt concrete . Highway Research Board Proceedings , 41 : 299 – 320 .
  • Trouton , F.T. and Andrews , E.S. 1903 . On the viscosity of pitch-like substances . Proceedings of the Physical Society of London , 19 : 47 – 57 .
  • Witczak , M.W. , Kaloush , K. , Pellinen , T. , El-Basyouny , M. and Quintus , H.L.V. 2002 . Simple performance test for superpave mix design. Technical Report Report NCHRP 465 , Washington : Transportation Research Board .
  • Yuan , H. and Lianis , G. 1972 . Experimental investigation of nonlinear viscoelasticity in combined finite torsion–tension . Transactions Society of Rheology , 16 : 615 – 627 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.