Modeling of Hot-Mix Asphalt Compaction: A Thermodynamics-Based Compressible Viscoelastic Model

REFERENCES

1. The Asphalt Institute. (1989). The Asphalt Handbook, Lexington, KY.

2. SIMULIA™. (2007). Abaqus User's Manual, Dassault Systèmes, Providence, RI.

3. Brown, S.F., and Snaith, M.S. (1978). "The Permanent Deformation Characteristics of a Dense Bituminous Macadam Subjected to Repeated Loading," Proceedings of the 4th Conference on Structural Design of Asphalt Pavements, 225–248, University of Michigan, Ann Arbor, MI.

4. Krishnan, J.M. and Rajagopal, K. (2003). "Review of the Uses and Modeling of Bitumen from Ancient to Modern Times," Applied Mechanics Reviews, Vol. 56, No. 2, 149–214.

5. U.S. Army Corps of Engineers. (2000). Hot-Mix Asphalt Paving Handbook, Washington, DC

6. Roberts, F., Kandhal, P., Brown, E.R., Lee, D., and Kennedy, T. (1991). Hot Mix Asphalt Materials, Mixture Design and Construction, National Asphalt Pavement Association, Research and Education Foundation, Lanham, MD.

7. Kassem, E.A.R. (2008). "Compaction Effects on Uniformity, Moisture Diffusion, and Mechanical Properties of Asphalt Pavements," Dissertation, Texas A&M University, College Station, TX

8. Consuegra, A., Little, D.N., Von Quintus, H., and Burati Jr, J.L. (1989.) "Comparative Evaluation of Laboratory Compaction Devices Based on Their Ability to Produce Mixtures with Engineering Properties Similar to Those Produced in the Field," Transportation Research Record 1228, 80–87.

9. 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-003: A Proposed Testing Equipment," Transportation Research Record 1417, 38–48.

10. Peterson, B., Mahboub, K., Anderson, M., Masad, E., and Tashman, L. (2004). "Comparing Superpave Gyratory Compactor Data to Field Cores," Journal of Materials in Civil Engineering, Vol. 16, No. 1, 78–83.

11. Masad, E., Muhunthan, B., Shashidhar, N., and Harman, T. (1999). "Internal Structure Characterization of Asphalt Concrete Using Image Analysis," Journal of Computing in Civil Engineering, Vol. 13, 88.

12. Tashman, L., Masad, E., Peterson, B., and Saleh, H. (2001). "Internal Structure Analysis of Asphalt Mixes to Improve the Simulation of Superpave Gyratory Compaction to Field Conditions," Journal of the Association of Asphalt Paving Technologists, Vol. 70, 605–645.

13. Huerne, H.L. (2004). "Compaction of Asphalt Road Pavements," Dissertation, University of Twente, Netherlands.

14. Lee, A.R. and Markwick, A.H.D. (1937). "The Mechanical Properties of Bituminous Surfacing Materials Under Constant Stress," J. Soc. Chem. Ind., Vol. 56, 146–154.

15. Saal, R. and Labout, J. (1958). "Rheological Properties of Asphalts," Rheology: Theory and Applications, Vol. 2, 363–400.

16. Saal, R. (1950) "Rheological Properties," in The Physical Properties of Asphaltic Bitumen: with Reference to its Technical Applications, J.P. Pfeiffer, ed., Elsevier, Netherlands.

17. Van der Poel, C. (1954). Road Asphalt, Building Materials: Their Elasticity and Inelasticity, M. Reiner, ed., North-Holland Publishing, Netherlands.

18. Reiner, M. (1960). Deformation, Strain and Flow: An Elementary Introduction to Rheology, H.K. Lewis & Co., England.

19. Monismith, C.L. and Secor, K.E. (1962). "Viscoelastic Behavior of Asphalt Concrete Pavements," Proceedings of the International Conference on the Structural Design of Asphalt Concrete Pavements, 476–498, University of Michigan, Ann Arbor, MI.

20. Secor, K. and Monismith, C. (1964). "Analysis and Interrelation of Stress-strain-time Data for Asphalt Concrete," Journal of Rheology, Vol. 8, 19.

21. Pagen, C.A. (1965). "Rheological Response of Bituminous Concrete," Highway Research Record, Vol. 67, 1–26.

22. Monismith, C.L., Alexander, R.L., and Secor, K. E. (1966). "Rheologic Behavior of Asphalt Concrete," Proceedings of the Association of Asphalt Paving Technologists, Vol. 35, 400–450.

23. Huschek, S. (1985). "The Deformation Behavior of Asphalt Concrete Under Triaxial Compression," Proceedings of the Association of Asphalt Paving Technologists, Vol. 54, 407–431.

24. Davis, E.F., Krokosky, E.M., and Tons, E. (1965) "Stress Relaxation of Bituminous Concrete in Tension," Highway Research Record, Vol. 67, 38–58.

25. Huang, Y.H. (1968). Deformation and Volume Change Characteristics of a Sand-asphalt Mixture Under Constant Direct and Triaxial Compressive Stresses. Virginia Highway Research Council, Charlottesville, VA.

26. Moavenzadeh, F. and Soussou, J. (1968). "Viscoelastic Constitutive Equation for Sand-asphalt Mixture," Highway Research Record, Vol. 256, 36–52.

27. Perl, M., Uzan, J., and Sides, A. (1983). "Visco-elasto-plastic Constitutive Law for a Bituminous Mixture Under Repeated Loading," Transportation Research Record 911, 20–27, Transportation Research Board, Washington, DC.

28. Kim, Y.R. (1990). "One-Dimensional Constitutive Modeling of Asphalt Concrete," Journal of Engineering Mechanics, Vol. 116, 751.

29. Collop, A.C., Cebon, D., and Hardy, M.S.A. (1995). "Viscoelastic Approach to Rutting in Flexible Pavements," Journal of Transportation Engineering, Vol. 121, No. 1, 82–93.

30. Eisenmann, J. and Hilmer, A. (1987). "Influence of Wheel Load and Inflation Pressure on the Rutting Effect at Asphalt Pavements—Experiments and Theoretical Investigations," Proceedings of the Sixth International Conference on the Structural Design of Asphalt Pavements, 392–403, University of Michigan, Ann Arbor, MI.

31. Nijboer, L.W. (1948). Plasticity as a Factor in the Design of Dense Bituminous Road Carpets, Elsevier Science Ltd., New York, NY.

32. Van der Poel, C. (1958). "On the Rheology of Concentrated Dispersions," Rheologica Acta, Vol. 1, No. 2, 198–205.

33. Frohlich, H. and Sack, R. (1946). "Theory of the Rheological Properties of Dispersions," Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 185, No. 1003, 415–430.

34. Hills, J.F. (1973). "The Creep of Asphalt Mixes," Journal of the Institute of Petroleum, Vol. 59, No. 570, 247.

35. Cheung, C.Y., Cocks, A.C.F., and Cebon, D. (1999). "Isolated Contact Model of an Idealized Asphalt Mix," International Journal of Mechanical Sciences, Vol. 41, No. 7, 767–792.

36. Deshpande, V.S. and Cebon, D. (1999). "Steady-state Constitutive Relationship for Idealized Asphalt Mixes," Mechanics of Materials, Vol. 31, No. 4, 271–287.

37. Deshpande, V.S. and Cebon, D. (2000). "Uniaxial Experiments on Idealized Asphalt Mixes," Journal of Materials in Civil Engineering, Vol. 12, No. 3, 262–271.

38. Boutin, C. and Auriault, J.L. (1990). "Dynamic Behavior of Porous Media Saturated by a Viscoelastic Fluid. Application to Bituminous Concretes," International Journal of Engineering Science, Vol. 28, No. 11, 1157–1181.

39. Florea, D. (1994). "Associated Elastic/Viscoplastic Model for Bituminous Concrete," International Journal of Engineering Science, Vol. 32, No. 1, 79–86.

40. Florea, D. (1994). "Nonassociated Elastic/viscoplastic Model for Bituminous Concrete," International Journal of Engineering Science, Vol. 32, No. 1, 87–93.

41. Krishnan, J.M. and Rao, C.L. (2000). "Mechanics of Air Voids Reduction of Asphalt Concrete Using Mixture Theory," International Journal of Engineering Science, Vol. 38, No. 12, 1331–1354.

42. Krishnan, J.M. and Rao, C.L. (2001). "Permeability and Bleeding of Asphalt Concrete Using Mixture Theory," International Journal of Engineering Science, Vol. 39, No. 6, 611–627.

43. Rajagopal, K. (1995). "Multiple Configurations in Continuum Mechanics," Reports of the Institute for Computational and Applied Mechanics, University of Pittsburgh, Pittsburgh, PA.

44. Rajagopal, K. and Srinivasa, A. (2004). "On the Thermomechanics of Materials That Have Multiple Natural Configurations, Part I: Viscoelasticity and Classical Plasticity," Zeitschrift fur Angewandte Mathematik und Physik (ZAMP), Vol. 55, No. 5, 861–893.

45. Rajagopal, K. and Srinivasa, A. (2004). "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 (ZAMP), Vol. 55, No. 6, 1074–1093.

46. Krishnan, J. and Rajagopal, K. (2005). "On the Mechanical Behavior of Asphalt," Mechanics of Materials, Vol. 37, No. 11, 1085–1100.

47. Guler, M., Bosscher, P.J., and Plesha, M.E. (2002). "A Porous Elasto-plastic Compaction Model for Asphalt Mixtures with Parameter Estimation Algorithm," Geotechnical Special Publication, Vol. 123, 126–143.

48. Koneru, S., Masad, E., and Rajagopal, K.R. (2008). "A Thermomechanical Framework for Modeling the Compaction of Asphalt Mixes," Mechanics of Materials, Vol. 40, No. 10, 846–864.

49. Masad, E., Koneru, S., Rajagopal, K.R., Scarpas, A., and Kasbergen, C. (2009). "Modeling of Asphalt Mixture Laboratory and Field Compaction Using a Thermodynamics Framework," Journal of the Association of Asphalt Paving Technologists, Vol.78, 639–678.

50. Moore, W. (2006). "Intelligent Compaction: Outsmarting Soil and Asphalt," Construction Equipment, April issue, 38–48.

51. Rahman, F., Hossain, M., and Hunt, M. (2007). "Intelligent Compaction Control of Highway Embankment Soil," Presented at the 86th Annual Transportation Research Board Meeting, Washington, DC.

52. The MathWorks. (2007). MATLAB^® User Guide, Natick, MA.

53. Scarpas, A. (2000). CAPA-3D Finite Element System Users Manual I, II, and III, Delft University of Technology, Netherlands.

54. Scarpas, A. (2005). "A Mechanics Based Computational Platform for Pavement Engineering," Dissertation, Delft University of Technology, Netherlands.

55. Sluys, L. (1992). "Wave Propagation, Localisation and Dispersion in Softening Solids," Dissertation, Delft University of Technology, Netherlands.

56. Bathe, K. (1995). Finite Element Procedures, Prentice Hall, Upper Saddle River, NJ.

57. Johnson, K. (1987). Contact Mechanics, Cambridge University Press, United Kingdom.