Assessment of existing micro-mechanical models for asphalt mastics considering viscoelastic effects

Road Materials and Pavement Design

Volumn 9, Issue 1, 2008, Pages 31-57

  Yin, H M ^a   Buttlar, W G ^b   Paulino, G H ^b   Di Benedetto, H ^c  

^a Transportation Laboratory   (United States)

^b United States of America   (United States)

^c UNIVERSITÉ DE LYON   (France)

Author keywords

Asphalt mastics; Complex modulus; Homogenization; Micromechanics; Stress and strain; Viscoelasticity

Indexed keywords

ASPHALT MASTIC; COMPLEX MODULUS; MICRO MECHANICS MODEL; MICROMECHANICAL METHODS; MICROMECHANICAL MODEL; SELF CONSISTENT MODELING; STRESS AND STRAIN; VISCOELASTIC EFFECTS;

ASPHALT; BINDERS; COMPOSITE MICROMECHANICS; ELASTIC MODULI; FILLERS; HOMOGENIZATION METHOD; MICROMECHANICS; VISCOELASTICITY;

MASTIC ASPHALT;

EID: 41449114449     PISSN: 14680629     EISSN: None     Source Type: Journal    
DOI: 10.3166/rmpd.9.31-57     Document Type: Article

References (51)

1. Abbas A.R., Papagiannakis A.T. and Masad E.A., "Linear and nonlinear viscoelastic analysis of the microstructure of asphalt concretes", Journal of Materials in Civil Engineering, Vol. 16, No. 2, 2004, p. 133-139.
2. Anderson D.A., Christensen D.W., Bahia H.U., Dongre R., Sharma M.G., Antle C.E., and Button J., "Binder Characterization and Evaluation (SHRP A-369)", Vol. 3 "Physical Characterization", Strategic Highway Research Program, National Research Council, Washington DC, 1994.
3. Airey G.D., Rahimzadeh B. and Collop A.C., "Linear rheological behavior of bituminous paving materials", Journal of Materials in Civil Engineering, Vol. 16, No. 3, 2004, p. 212-220.
4. Brinson L.C., Lin W.S., "Comparison of micromechanics methods for effective properties of multiphase viscoelastic composites", Composite Structures, Vol. 41, No. 3-4, 1998. p. 353-367.
5. Budiansky B., "On the elastic moduli of some heterogeneous materials", Journal of the Mechanics and Physics of Solids, 1965, 13, p. 223-227.
6. Buttlar W.G., Bauer J.M., Sherman D.S., "Dynamic modulus of asphalt concrete with a hollow cylinder tensile tester", Transportation Research Record 1789, 2002, p. 183-190.
7. Buttlar W.G., Bozkurt D., Al-Khateeb G.G. and Waldhoff A.S., "Understanding asphalt mastic behavior through micromechanics", Transportation Research Record, 1681, 1999, p. 157-166.
8. Buttlar W.G. and Roque R., "Evaluation of Empirical and Theoretical Models to Determine Asphalt Mixture Stiffnesses at Low Temperatures", Journal of Association of Asphalt Paving Technologists., 65, 1996, p. 99-130.
9. Christensen D.W. and Anderson D. A., "Interpretation of Dynamic Mechanical Test Data for Paving Asphalt Cements", Proceedings of the Association of Asphalt Paving Technologists, 61, 1992, p. 67-116.
10. Christensen R.M., "Viscoelastic properties of heterogeneous media", Journal of the Mechanics and Physics of Solids, 17, 1969, p. 23-41.
11. Christensen R.M., Theory of viscoelasticity: An introduction, Academic Press, New York, 1982.
12. Christensen R.M., "A critical evaluation for a class of micromechanics models", Journal of Mechanics and Physics of Solids, 38, 1990, p. 379-404.
13. Christensen R.M. and Lo K.H., "Solutions for effective shear properties in three phase sphere and cylinder models", Journal of the Mechanics and Physics of Solids, 27, 1979, p. 315-330.
14. Di Benedetto H., Olard F., Sauzéat C., and Delaporte B., "Linear viscoelastic behavior of bituminous materials: from binders to mixes", EATA Nottingham, International Journal of Road Materials and Pavement Design, Vol. 5, Special Issue, 2004, p. 163-202.
15. Di Benedetto H., Delaporte B., and Sauzéat C., "Three-dimensional linear behavior of bituminous materials: experiments and modeling", ASCE international Journal of Geomechanics, Vol. 7, No. 2, p. 149-157, 2007
16. Eshelby J.D., "The determination of the elastic field of an ellipsoidal inclusion, and related problems", Proceedings of Royal Society A, 241, 1957, p. 376-396.
17. Eshelby J.D., "The elastic field outside an ellipsoidal inclusion", Proceedings of Royal Society A, 252, 1959, p. 561-569.
18. rd Ed. Wiley, New York, 1980.
19. Fung Y.C., Foundations of solid mechanics, Prentice-Hall, Englewood Cliffs, NJ, 1965.
20. Gibiansky L.V., Milton G.W., "On the effective viscoelastic moduli of two-phase media. I. Rigorous bounds on the complex bulk modulus", Proceedings of Royal Society London A, 440, 1993, p. 163-188
21. Gilormini P., Montheillet F., "Deformation of an inclusion in a viscous matrix and induced stress concentrations", Journal of the Mechanics and Physics of Solids, 34, 1986, p. 97-123.
22. Haj-Ali R.M., Muliana A.H., "Micromechanical constitutive framework for the nonlinear viscoelastic behavior of pultruded composite materials", International Journal of Solids and Structures, 40, 2003, p. 1037-1057.
23. Hashin, Z., "Viscoelastic behavior of heterogeneous media", Journal of Applied Mechanics, No. 32, 1965, p. 630-636.
24. Hashin, Z., "Complex moduli of viscoelastic composites: I. General theory and application to particulate composites", International Journal of Solids and Structures, 6, 1970, p. 539-552.
25. Hashin, Z. and Shtrikman S., "A variational approach to the theory of the elastic behavior of multiphase materials", Journal of the Mechanics and Physics of Solids, 11, 1963, p. 127-140.
26. Herve E. and Zaoui A., "N-layered inclusion-based micromechanical modeling", International Journal of Engineering Science, 31, 1993, p. 1-10.
27. Hill R., "A self-consistent mechanics of composite materials", Journal of the Mechanics and Physics of Solids, 13, 1965, p. 213-222.
28. Kim Y.R., Lee Y.C., Lee H.J., "Correspondence principle for characterization of asphalt concrete", Journal of Materials in Civil Engineering, Vol. 7, No. 1, 1995.p. 59-68.
29. Kim Y.R., Little D.N., "Linear viscoelastic analysis of asphalt mastics", Journal of Materials in Civil Engineering, 16, 2004, p. 122-132.
30. Lackner R., Spiegl M., Blab R., Eberhardsteiner J., "Is low-temperature creep of asphalt mastic independent of filler shape and mineralogy? Arguments from multiscale analysis", Journal of Materials in Civil Engineering, Vol. 17, No. 5, 2005, p. 485-491.
31. Laws N. and Mclaughlin R., "Self-consistent estimates for the viscoelastic creep compliances of composite materials", Proceedings of Royal Society London A, 359, 1978, p. 251-273
32. Li J., Weng G.J., "A unified approach from elasticity to viscoelasticity to viscoplasticity of particle-reinforced solids", International Journal of Plasticity, 14, 1998, p. 193-208.
33. Little D.N. and Petersen J.C, "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, Vol. 17, No. 2, 2005, p. 207-218.
34. Masad E., Muhunthan B., Shashidhar N., Harman T., "Internal Structure Characterization of Asphalt Concrete Using Image Analysis", Journal of Computing in Civil Engineering, Vol. 13, No. 2, 1999, p. 88-95.
35. Milton G.W., Berryman J.G., "On the effective viscoelastic moduli of two-phase media. I. Rigorous bounds on the complex shear modulus in three dimensions", Proceedings of Royal Society London A, 453, 1997, p. 1849-1880.
36. Mori T., Tanaka K., "Average stress in matrix and average elastic energy of materials with misfitting inclusions", Acta Metallurgica, 21, 1973, p. 571-574.
37. Mukherjee S., Paulino G.H., "The elastic-viscoelastic correspondence principle for functionally graded materials, revisited", Journal of Applied Mechanics, 70, 2003, p. 359-363.
38. nd Ed. Kluwer Academic Publishers, Dordrecht, 1987.
39. nd Edition, North-Holland. Amsterdam, 1999.
40. Palade L.I., Attane P., Camaro S., "Linear viscoelastic behavior of asphalt and asphalt based mastic", Rheologica Acta, 39, 2000, p. 180-190.
41. Park S.W., Kim Y.R., "Interconversion between relaxation modulus and creep compliance for viscoelastic solids", Journal of Materials in Civil Engineering, Vol. 11, No. 1, 1999, p. 76-82.
42. Paulino G.H., Jin Z.H., "Correspondence principle in viscoelastic functionally graded materials", Journal of Applied Mechanics, 68, 2001, p. 129-132.
43. Ponte Castaneda P., Suquet P., "Nonlinear composites", Advances in Applied Mechanics, 34, 1998, p. 171-302.
44. Shashidhar N., Shenoy A.,. "On using micromechanical models to describe dynamic mechanical behavior of asphalt mastics," Mechanics of Materials, 34, 2002p. 657-669.
45. You Z., Buttlar W.G., "Discrete element modeling to predict the modulus of asphalt concrete mixtures", Journal of Materials in Civil Engineering, Vol. 16, No. 2, 2004, p. 140-146.
46. th International Conference on Asphalt Pavements, 2006a.
47. Yin H.M., Sun L.Z., "Magneto-elastic modeling of composites containing randomly dispersed ferromagnetic particles", Philosophical Magazine, Vol. 86, No. 28, 2006b, p. 4367-4395.
48. Yin H.M. and Sun L.Z., "Elastic modelling of periodic composites with particle interactions", Philosophical Magazine Letters, 85, 2005, p. 163-173.
49. Yin H.M., Sun L.Z., Paulino G.H., "Micromechanics-based elastic modeling for functionally graded materials with particle interactions", Acta Materialia, 52, 2004, p. 3535-3543.
50. Zheng Q.S., Du D.X., "An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for inclusion distribution", Journal of the Mechanics and Physics of Solids, 49, 2001, p. 2765-2788.
51. Zhou F.P., Lydon F.D., Barr B.I.G., "Effect of course aggregate on elastic modulus and compressive strength of high performance concrete", Cement and Concrete Research, 25, 1995, p. 177-186.