Modelling constant displacement rate experiments of asphalt concrete using a thermodynamic framework

References

• Baladi , G.Y. and Wu , T.T.H. 1988 . “ Interpretation of triaxial test results of cohesionless soils: a new model ” . In Advanced Triaxial Testing of Soil and Rock , vol. 977 , 567 – 581 . Philadelphia : American Society for Testing and Materials . ASTM STP
   Google Scholar
• Bishop , A.W. and Green , G.E. 1965 . The influence of end restraint on the compression strength of a cohesionless soil . Geotechnique , 15 ( 3 ) : 243 – 266 .
   Google Scholar
• Bishop , A.W. and Henkel , D.J. 1957 . The Measurement of Soil Properties in the Triaxial Test , London : Edward Arnold .
   Google Scholar
• Boutin , C. and Auriault , J.L. 1990 . Dynamic behavior of porous media saturated by a viscoelastic fluid: application to bituminous concretes . Int. J. Eng. Sci. , 28 : 1157 – 1181 .
   Web of Science ®Google Scholar
• Bridgman , P.W. 1926 . The effect of pressure on the viscosity of forty-three pure liquids . Proc. Am. Acad. , 61 : 57 – 99 .
   Google Scholar
• Buisman , A.S. 1934 . Proefondervindelijke bepaling van de grens van inwendig evenwicht van een grondmassa . De Ingenieur , 26 : B83 – B88 .
   Google Scholar
• Burgers , J.M. 1939 . “ Mechanical considerations-model systems-phenomenological theories of relaxation and of viscosity. First Report on Viscosity and Plasticity ” .
   Google Scholar
• Campen , W.H. and Smith , J.R. 1948 . “ A study of the role of angular aggregates in the development of stability in bituminous mixtures ” . In Proceedings of the Association of Asphalt Paving Technologists Vol. 17 , 114 – 142 .
   Google Scholar
• Chen , J.S. and Liao , M.C. 2002 . Evaluation of internal resistance in hot-mix asphalt (hma) concrete . Construction Building Mater. , 16 : 313 – 319 .
   Web of Science ®Google Scholar
• Cutler , W.G. , McMickle , R.H. , Webb , W. and Schiessler , R.W. 1958 . Study of the compressions of several high molecular weight hydrocarbons . J. Chem. Phys. , 29 : 727 – 740 .
   Web of Science ®Google Scholar
• Endersby , V.A. 1951 . “ The history and theory of triaxial testing, and the preparation of realistic test specimens—a report of the triaxial institute ” . In Triaxial Testing of Soils and Bituminous mixtures , vol. 106 , 5 – 20 . Philadelphia : American Society of Testing and Materials . ASTM Special Technical Publication
   Google Scholar
• Florea , D. 1994a . Associated elastic/viscoelastic model for bituminous concrete . Int. J. Eng. Sci. , 32 : 79 – 86 .
   Web of Science ®Google Scholar
• Florea , D. 1994b . Nonassociated elastic/viscoelastic model for bituminous concrete . Int. J. Eng. Sci. , 32 : 87 – 93 .
   Web of Science ®Google Scholar
• Green , A.E. and Naghdi , P.M. 1977 . On thermodynamics and the nature of the second law . Proc. R. Soc. London, Ser. A , 357 : 253 – 270 .
   Web of Science ®Google Scholar
• Griest , E.M. , Webb , W. and Schiessler , R.W. 1958 . Effect of pressure on viscosity of higher hydrocarbons and their mixtures . J. Chem. Phys. , 29 : 711 – 720 .
   Web of Science ®Google Scholar
• Haar , M.A. and von Karman , T. 1909 . “ Zur theorie der spannungszusttande in plastischen und sandartigen medien ” . In Nachrichten der K. Gesellschaft der Wissenschaften zu Gottingen Mathematisch-physikalische Klasse K1 204 – 218 .
   Google Scholar
• Harvey , J. and Monismith , C.L. 1993 . Effects of laboratory asphalt concrete specimen preparation variables on fatigue and permanent deformation test results using strategic highway research program A-003a proposed testing equipment . Transportation Res. Rec. , 1417 : 38 – 48 .
   Google Scholar
• Herrin , M. and Goetz , W.H. 1954 . “ Effect of aggregate shape on stability of bituminous mixes ” . In Proceedings, Highway Research Board Vol. 33 , 293 – 308 .
   Google Scholar
• Hills , J.F. 1973 . The creep of asphalt mixes . J. Inst. Pet. , 59 ( 3 ) : 247 – 262 .
   Google Scholar
• Holtz , R.D. and Kovacs , W.D. 1981 . An Introduction to Geotechnical Engineering , Englewood Cliffs, NJ : Prentice-Hall .
   Google Scholar
• Hron , J. , Malek , J. and Rajagopal , K.R. 2001 . Simple flows of fluids with pressure dependent viscosities . Proc. R. Soc. London A , 457 : 1603 – 1622 .
   Google Scholar
• Huang , Y.H. 1967 . Deformation and volume change characteristics of a sand asphalt mixture under constant direct and triaxial compressive stresses . Highway Res. Rec. , 178 : 60 – 74 .
   Google Scholar
• Humphrey , J.D. and Rajagopal , K.R. 2002 . A constrained mixture model for growth and remodeling of soft tissues . Math. Models Meth. Appl. Sci. , 12 : 1 – 24 .
   Google Scholar
• Huschek , S. 1985 . “ The deformation behavior of asphalt concrete under triaxial compression ” . In Proceedings of the Association of Asphalt Paving Technologists Vol. 54 , 407 – 431 .
   Google Scholar
• Hveem , F.N. 1940 . “ Gradation of mineral aggregates for dense graded bituminous mixtures ” . In Proceedings of the Association of Asphalt Paving Technologists Vol. 11 , 315 – 339 .
   Google Scholar
• Johnson , K.L. and Cameron , R. 1967 . Shear behavior of elastohydrodynamic oil films at high rolling contact pressures . Proc. Inst. Mech. Eng. , 182 ( 14 ) : 307 – 319 .
   Google Scholar
• Johnson , K.L. and Tevaarwerk , J.L. 1977 . Shear behavior of elastohydrodynamic oil films . Proc. R. Soc. London A , 356 : 215 – 236 .
   Web of Science ®Google Scholar
• Kannan , K. , Rao , I.J. and Rajagopal , K.R. 2002 . A thermomechanical framework for the glass transition phenomenon in certain polymers and its application to fiber spinning . J. Rheol. , 46 ( 4 ) : 977 – 999 .
   Google Scholar
• Kim , Y.R. and Little , D.N. 1990 . One-dimensional constitutive modeling of asphalt concrete . J. Eng. Mech. Div. , 116 : 751 – 772 .
   Web of Science ®Google Scholar
• Kim , Y.R. , Yim , N. and Khosla , N.P. 1992 . “ Effect of aggregate type and gradation on fatigue and permanent deformation of asphalt concrete. Special Technical Publication ” . 310 – 328 . 1147, ASTM
   Google Scholar
• Murali Krishnan , J. and Rajagopal , K.R. 2003 . A review of the uses and modeling of bitumen from ancient to modern times . ASME Applied Mechanics Review , 56 ( 2 ) : 149 – 214 .
   Google Scholar
• Murali Krishnan , J. and Rajagopal , K.R. 2004a . Thermodynamic framework for the constitutive modeling of asphalt concrete: theory and applications . J. Mater. Civ. Eng. , 16 ( 2 ) : 155 – 166 .
   Google Scholar
• Murali Krishnan , J. and Rajagopal , K.R. 2004b . Triaxial testing and stress relaxation of asphalt concrete . Mech. Mater. , 36 : 849 – 864 .
   Google Scholar
• Krutz , N.C. and Sebaaly , P.E. 1993 . “ The effect of aggregate gradation on permanent deformation of asphalt concrete ” . In Proceedings of the Association of Asphalt Paving Technologists Vol. 39 , 450 – 473 .
   Google Scholar
• Lee , A.R. and Marwick , A.H.D. 1937 . The mechanical properties of bituminous surfacing materials under constant stress . J. Soc. Chem. Ind. , 56 : 146T – 156T .
   Google Scholar
• Masad , E. and Button , J.W. 2000 . Unified imaging approach for measuring aggregate angularity and texture . Comput. Aided Civ. Infrastruct. Eng. , 15 : 272 – 280 .
   Google Scholar
• Masad , E. , Little , D. , Tashman , L. , Al-Rousan , S. and Sukhwani , R. 2003 . “ Evaluation of aggregate characteristics affecting HMA concrete performance. Final Report of ICAR 203 Project ” .
   Google Scholar
• Masad , E. , Muhunthan , B. , Shashidhar , N. and Harman , T. 1998 . “ Aggregate orientation and segregation in asphalt concrete. Geotechnical Special Publication ” . Vol. 85 , 69 – 80 . ASCE, GSP
   Google Scholar
• Masad , E. , Muhunthan , B. , Shashidhar , N. and Harman , T. 1999 . Effect of compaction procedure on the aggregate structure in asphalt concrete . Transportation Res. Rec. , 1681 : 179 – 185 .
   Google Scholar
• Monismith , C.L. and Secor , K.E. 1962 . Viscoelastic behavior of asphalt concrete pavements . Rep. Inst. Transportation Traffic Eng. ,
   Google Scholar
• Nijboer , L.W. 1948 . Plasticity as a Factor in the Design of Dense Bituminous Road Carpets , Amsterdam : Elsevier .
   Google Scholar
• 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 . Mech. Mater. , 24 : 241 – 255 .
   Web of Science ®Google Scholar
• Rajagopal , K.R. 1995 . “ Multiple configurations in continuum mechanics ” . Reports of the Institute for Computational and Applied Mechanics
   Google Scholar
• Rajagopal , K.R. and Chandra , N. 2001 . A thermodynamic framework for the superplastic response of materials . Mater. Sci. Forum , 357 : 261 – 271 .
   Google Scholar
• Rajagopal , K.R. and Srinivasa , R. 1995 . On the inelastic behavior of solids—Part I: Twinning . Int. J. Plast. , 6 : 969 – 995 .
   Google Scholar
• Rajagopal , K.R. and Srinivasa , A.R. 1998a . Mechanics of inelastic behavior of materials—Part I: Theoretical underpinnings . Int. J. Plast. , 14 : 945 – 967 .
   Web of Science ®Google Scholar
• Rajagopal , K.R. and Srinivasa , A.R. 1998b . Mechanics of inelastic behavior of materials—Part II: Inelastic response . Int. J. Plast. , 14 : 969 – 995 .
   Web of Science ®Google Scholar
• Rajagopal , K.R. and Srinivasa , A.R. 2000 . A thermodynamic framwork for rate type fluid models . J. Non-Newtonian Fluid Mech. , 88 : 207 – 227 .
   Web of Science ®Google Scholar
• Rajagopal , K.R. and Srinivasa , A.R. 2001 . Modeling anisotropic fluids within the framework of bodies with multiple natural configurations . J. Non-Newtonian Fluid Mech. , 99 : 109 – 124 .
   Web of Science ®Google Scholar
• Rajagopal , K.R. and Srinivasa , A.R. 2004 . On the thermomechanics of materials that have multiple natural configurations, Part I—viscoelasticity and plasticity . ZAMP , 55 : 861 – 893 .
   Web of Science ®Google Scholar
• Rajagopal , K.R. and Srinivasa , A.R. 2005 . A note on a correspondence principle in non-linear viscoelastic materials . Int. J. Fract. , 131 ( 4 ) : L47 – L52 .
   Web of Science ®Google Scholar
• Rajagopal , K.R. and Tao , L. 1996 . Mechanics of Mixtures , Singapore : World Scientific .
   Google Scholar
• Rajagopal , K.R. and Wineman , A.S. 1992 . A constitutive equation for nonlinear solids which undergo deformation induced microstructural changes . Int. J. Plast. , 8 : 385 – 395 .
   Web of Science ®Google Scholar
• Rao , I.J. and Rajagopal , K.R. 2002 . A thermodynamic framework for the study of crystallization in polymers . ZAMP , 53 : 365 – 406 .
   Web of Science ®Google Scholar
• Roscoe , K.H. , Schofield , A.N. and Thurairajah , A. 1963 . Laboratory shear testing of soils. Special Technical Publication 361 . Am Soc Testing Materials , : 111 – 128 .
   Google Scholar
• Rowe , P.W. and Barden , L. 1964 . The importance of free-ends in the triaxial test . J. Soil Mech. Found. Div. , 90 ( SM1 ) : 1 – 27 .
   Google Scholar
• Saal , R.N.J. and Koens , G. 1933 . Investigation into the plastic properties of asphaltic bitumen . J. Inst. Pet. , 19 : 176 – 212 .
   Google Scholar
• Schapery , R.A. 1984 . Correspondence principles and a generalized J integral for large deformation and fracture analysis of viscoelastic media . Int. J. Fract. , 25 : 195 – 223 .
   Web of Science ®Google Scholar
• Sowers , G.H. 1963 . Laboratory shear testing of soils. Special Technical Publication 361 . Am Soc Testing Materials , : 3 – 21 .
   Google Scholar
• Stanton , T.E. and Hveem , F.N. 1934 . “ Role of laboratory in the preliminary investigation and control of materials for low cost bituminous pavements ” . In Proceedings of the Highway Research Board, Part II Edited by: Crum , R.W. Vol. 14 , 14 – 54 .
   Google Scholar
• Stephens , J.E. and Sinha , K.C. 1978 . “ Effect of aggregate shape on bituminous mix characteristics ” . In Proceedings of the Association of Asphalt Paving Technologists Vol. 47 , 434 – 456 .
   Google Scholar
• Stokes , G.G. 1845 . On the theories of the internal friction of fluids in motion, and of the equilibrium and motion of elastic solids . Trans. Camb. Philos. Soc. , 8 : 287 – 305 .
   Google Scholar
• Tashman , L. , Masad , E. and Little , D. 2005 . A microstructure-based viscoplastic model for asphalt concrete . Int. J. Plast. , 21 ( 9 ) : 1659 – 1685 .
   Web of Science ®Google Scholar
• Truesdell , C. and Noll , W. 1992 . The Non-linear Field Theories of Mechanics , 2nd ed. , Berlin : Springer .
   Google Scholar
• Vallerga , B.A. , Seed , H.B. , Monismith , C.L. and Cooper , R.S. 1956 . “ Effect of shape, size and surface roughness of aggregate particles on the strength of granular materials. Special Technical Publication 212, ASTM ” . 63 – 76 .
   Google Scholar
• Van der Poel , C. 1958 . On the rheology of concentrated dispersions . Rheol. Acta , 1 : 198 – 205 .
   Google Scholar
• Wedding , P.A. and Gaynor , R.D. 1961 . “ The effects of using crushed gravel as the coarse and fine aggregate in dense graded bituminous mixtures ” . In Proceedings of the Association of Asphalt Paving Technologists Vol. 30 , 469 – 492 .
   Google Scholar
• Witczak , M.W. , Kaloush , K. , Pellinen , T. , El-Basyouny , M. and Von Quintus , H. 2002 . Simple performance test for superpave mix design. NCHRP-465 .
   Google Scholar
• Wood , L.E. and Goetz , W. 1959 . “ The rheological characteristics of a sand–asphalt mixture ” . In Proceedings of the Association of Asphalt Paving Technologists Vol. 28 , 211 – 229 .
   Google Scholar