References
- Bandyopadhyaya , R. , Das , A. and Basu , S. 2008 . Numerical simulation of mechanical behaviour of asphalt mix . Construction and Building Materials , 22 : 1051 – 1058 .
- Buttlar , W. G. , Bozkurt , D. , Al-khateeb , G. G. and Waldhoff , A. S. 1999 . Understanding asphalt mastic through micromechanics . Transportation Research Record , 1681 : 157 – 169 .
- Buttlar , W. G. and Roque , R. 1996 . Evaluation of empirical and theoretical models to determine asphalt mixtures stiffnesses at low temperature . Association of Asphalt Paving Technologists , 65 : 99 – 141 .
- Christensen , R. M. and Lo , K. H. 1979 . Solutions for effective shear properties of three phase sphere and cylinder models . Journal of the Mechanics and Physics of Solids , 27 : 315 – 330 .
- Christensen , R. M. and Lo , K. H. 1986 . Erratum: Solution for effective shear properties of three phase sphere and cylinder models . Journal of the Mechanics and Physics of Solids , 34 : 639 – 639 .
- Dai , Q. 2011 . Two and three-dimensional micromechanical viscoelastic finite element modelling of stone-based materials with X-ray computed tomography images . Construction and Building Materials , 25 : 1102 – 1114 .
- Delaporte, B. (2007). Etude de la rhéologie des mastics bitumineux à l’aide d’un rhéomètre à cisaillement annulaire [Study of the behaviour of mastics with an annular shear rheometer] (Unpublished PhD thesis). ENTPE-INSA, Lyon.
- Delaporte, B., Di benedetto, H., Sauzéat, C., & Chaverot, P. (2005). Linear viscoelatic properties of mastics: Results from a new annular shearing rheometer, and modelling. International conference on bearing capacity of road railways and airfields, Trondheim, Norway.
- Fakhari Tehrani , F. , Absi , J. , Allou , F. and Petit , Ch . 2013 . Hetergeneous numerical modelling of asphalt concrete through use of a biphasic approach: Porous matrix/inclusions . Computational Materials Science , 69 : 186 – 196 .
- Hibbitt, K., & Sorensen. (2004). ABAQUS Theory Manual (Version 6.4). Pawtucket, RI: Dassault système.
- Hill , R. 1965 . A self-consistent mechanics of composite materials . Journal of the Mechanics and Physics of Solids , 13 : 213 – 222 .
- Huang , B. , Shu , X. , Li , G. and Chen , L. 2007 . Analytical modelling of three-layered HMA mixtures . International Journal of Geomechanics , 7 : 140 – 148 .
- Li , G. , Li , Y. , Metcalf , J. B. and Pang , S. S. 1999 . Elastic modulus prediction of asphalt concrete . Journal of Materials in Civil Engineering , 11 : 236 – 241 .
- Little , D. N. and Petersen , J. C. 2005 . Unique effects of hydrated lime filler on the performance related properties of asphalt cements: Physical and chemical interactions revisited . Journal of Materials in Civil Engineering , 17 : 202 – 218 .
- Lytton , R. 1990 . Materials property relationships for modelling the behaviour of asphalt aggregate mixtures in pavements. International Memorandum , Washington , DC : Strategic Highway Research Program .
- Mclaughlin , R. 1977 . A study oft he differential scheme for composite materials . International Journal of Engineering Science , 15 : 237 – 244 .
- Mitra , K. , Das , A. and Basu , S. 2012 . Mechanical behaviour of asphalt mix: An experimental and numerical study . Construction and Building Materials , 27 : 545 – 552 .
- Mori , T. and Tanaka , K. 1973 . Average stress in matrix and average elastic energy of materials with misfitting inclusions . Acta Metallurgica , 21 : 571 – 574 .
- Olard, F. (2003). Comportement thermomécanique des enrobés bitumineux à basse température relation entre les propriétés du liant et de l’enrobé [Thermo-mechanical behavior of bituminous mixtures at low temperatures. Links between the binder characteristics and the mix properties] (Unpublished PhD thesis). ENTPE-INSA, Lyon.
- Shapery , R. A. and Park , S. W. 1999 . Method of interconversion between linear viscoelastic material functions. part II- an approximate analytical method . International Journal of Solids and Structures , 36 : 1677 – 1699 .
- Shashidhar , N. and Shenoy , A. 2002 . On using micromechanical models to describe dynamic mechanical behaviour of asphalt mastics . Mechanics of Materials , 34 : 657 – 669 .
- Shu , X. and Huang , B. 2008 . Dynamic modulus prediction of HMA mixtures based on the viscoelastic micromechanical model . Journal of Materials in Civil Engineering , 20 : 530 – 538 .
- You , Z. and Buttlar , W. G. 2004 . Discrete element modelling to predict the modulus of asphalt concrete mixtures . Journal of Materials in Civil Engineering , 16 : 140 – 146 .
- You , Z. and Buttlar , W. G. 2006 . Micromechanical modelling approach to predict compressive dynamic moduli of asphalt mixture using the distinct element method . Transportation Research Record , 1970 : 73 – 83 .
- You, Z., Adhikari, S., & Dai, Q. (2008). Three-dimensional discrete element models for asphalt mixtures. Journal of Engineering Mechanics, 134, 1053–1063.