On the use of linear viscoelastic constitutive relations to model asphalt

References

• Airey , G.D. and Rahimzadeh , B. 2004 . Combined bituminous binder and mixture linear rheological properties . Construction and Building Materials , 18 : 535 – 548 .
   Web of Science ®Google Scholar
• Airey , G.D. , Rahimzadeh , B. and Collop , A.C. 2003 . Viscoelastic linearity limits for bituminous materials . Materials and Structures , 36 : 643 – 647 .
   Web of Science ®Google Scholar
• Airey , G.D. , Rahimzadeh , B. and Collop , A.C. 2004 . Linear rheological behavior of bituminous paving materials . ASCE Journal of Materials in Civil Engineering , 16 ( 3 ) : 212 – 220 .
   Web of Science ®Google Scholar
• Carreau , P.J. , De Kee , D.C.R. and Chhabra , R.P. 1997 . Rheology of polymeric systems – principals and applications , New York : Hanser Publications .
   Google Scholar
• Cheung , C.Y. and Cebon , D. 1997 . Experimental study of pure bitumens in tension, compression, and shear . Journal of Rheology , 41 ( 1 ) : 45 – 73 .
   Web of Science ®Google Scholar
• Chockalingam , K. , Saravanan , U. and Krishnan , J.M. 2010 . Characterization of petroleum pitch using steady shear experiments . International Journal of Engineering Sciences , 48 ( 11 ) : 1092 – 1109 .
   Web of Science ®Google Scholar
• Findley , W.N. , Lai , J.S. and Onaran , K. 1989 . Creep and relaxation of nonlinear viscoelastic materials: with an introduction to linear viscoelasticity , New York : Dover Publications .
   Google Scholar
• Gurtin , M.E. and Sternberg , E. 1962 . On the linear theory of viscoelasticity . Archive for Rational Mechanics and Analysis , 11 : 291 – 356 .
   Web of Science ®Google Scholar
• Karra , S. and Rajagopal , K.R. 2009 . Development of three dimensional constitutive theories based on lower dimensional experimental data . Applications of Mathematics , 54 ( 2 ) : 147 – 176 .
   Web of Science ®Google Scholar
• Krishnan , J.M. and Rajagopal , K.R. 2005 . On the mechanical behavior of asphalt . Mechanics of Materials , 37 : 1085 – 1100 .
   Web of Science ®Google Scholar
• Marasteanu , M.O. and Anderson , D.A. 2000 . Establishing linear viscoelastic conditions for asphalt binders . Transportation Research Record: Journal of the Transportation Research Board , 1728 ( 1 ) : 1 – 6 .
   Google Scholar
• Masad , E. 2008 . Nonlinear viscoelastic analysis of unaged and aged asphalt binders . Construction and Building Materials , 22 ( 11 ) : 2170 – 2179 .
   Web of Science ®Google Scholar
• Mehrotra , A.K. and Svrcek , W.Y. 1986 . Viscosity of compressed Athabasca bitumen . The Canadian Journal of Chemical Engineering , 64 : 844 – 847 .
   Web of Science ®Google Scholar
• Motamed , A. and Bhasin , A. 2010 . “ Investigating nonlinear response of asphalt binders at high temperature ” . In Pavement and materials: testing and modeling in multiple length scales. Proceedings of the pavements and materials: characterization and modeling symposium at EMI 2010, ASCE Conference Proceedings 31 – 42 .
   Google Scholar
• Oldroyd , J.G. 1958 . Non-Newtonian effects in steady motion of some idelaized elastico-viscous liquids . Proceedings of the Royal Society of London, Series A , 245 ( 1241 ) : 278 – 297 .
   Web of Science ®Google Scholar
• Polacco , G. 2006 . Relation between polymer architecture and nonlinear viscoelastic behavior of modified asphalts . Current Opinion in Colloid and Interface Science , 11 ( 4 ) : 230 – 245 .
   Web of Science ®Google Scholar
• Santoshreddy , K. , Saravanan , U. and Krishnan , J.M. 2011 . Constant strain rate experiments and constitutive modeling for a class of bitumen . Mechanics of Time Dependent Materials , accepted
   Google Scholar
• Schapery , R.A. 1969 . On the characterization of nonlinear viscoelastic materials . Polymer Engineering and Science , : 295 – 310 .
   Web of Science ®Google Scholar
• Smart , J. and Williams , J.G. 1972 . A comparison of single integral non-linear viscoelasticity theories . Journal of the Mechanics and Physics of Solids , 20 ( 5 ) : 313 – 324 .
   Web of Science ®Google Scholar
• Spencer , A.J.M. 2004 . Continuum mechanics , New York : Dover Publications .
   Google Scholar
• Wineman , A.S. 2009 . Nonlinear viscoelastic solids – a review . Mathematics and Mechanics of Solids , 14 : 300 – 366 .
   Web of Science ®Google Scholar
• Wineman , A.S. and Rajagopal , K.R. 2000 . Mechanical response of polymers – an introduction , New York : Cambridge University Press .
   Google Scholar