Prediction of creep stiffness of asphalt mixture with micromechanical finite-element and discrete-element models

Journal of Engineering Mechanics

Volumn 133, Issue 2, 2007, Pages 163-173

  Dai, Qingli ^a   You, Zhanping ^a  

^a Michigan Technological University   (United States)

Author keywords

Asphalt; Creep; Discrete elements; Finite element method; Mixtures; Predictions; Stiffness

Indexed keywords

AGGREGATES; COMPOSITE MICROMECHANICS; CREEP TESTING; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; SCANNING; STIFFNESS; VISCOELASTICITY;

ASPHALT MIXTURE; CREEP STIFFNESS; MICROMECHANICAL MODEL;

ASPHALT;

AGGREGATES; ASPHALT; COMPOSITE MICROMECHANICS; CREEP TESTING; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; SCANNING; STIFFNESS; VISCOELASTICITY;

ASPHALT; CREEP; DISCRETE ELEMENT METHOD; FINITE ELEMENT METHOD; MICROMECHANICS; MICROSTRUCTURE; NUMERICAL MODEL; STIFFNESS;

EID: 33846457367     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(2007)133:2(163)     Document Type: Article

References (59)

1. Aboudi, J. (1991). Mechanics of composite materials, a unified micromechanical approach, Elsevier, New York, 14-21.
2. Al-Khateeb, G. (2001). "Development of a hollow cylinder tensile tester to obtain fundamental mechanical properties of asphalt paving mixtures." Ph.D. dissertation, Univ. of Illinois at Urbana-Champaign, Urbana, Ill.
3. Buttlar, W. G. (1995). "Relationships between asphalt binder and mixture stiffness at low temperatures for the control of thermal cracking pavement performance." Ph.D. dissertation, Pennsylvania Univ., University Park, Pa.
4. Buttlar, W. G., Al-Khateeb, G. G., and Bozkurt, D. (1999). "Development of a hollow cylinder tensile tester to obtain mechanical properties of bituminous paving mixtures." Asphalt Paving Technol., 68, 369-403.
5. Buttlar, W. G., and Roque, R. (1994). "Experimental development and evaluation of the new SHRP measurement and analysis system for indirect tensile testing of asphalt mixtures at low temperatures." Transportation Research Record 1454, Transportation Research Board, Washington D.C., 163-171.
6. Buttlar, W. G., and Roque, R. (1996). "Evaluation of empirical and theoretical models to determine asphalt concrete stiffnesses at low temperatures (with discussion)." Asphalt Paving Technol., 65, 99-141.
7. Buttlar, W. G., Wagoner, M., You, Z., and Brovold, S. T. (2004). "Development of hollow cylinder tester in the fundamental property test of pavement mixture." Asphalt Paving Technol., 73, 367-400.
8. Buttlar, W. G., and You, Z. (2001). "Discrete-element modeling of asphalt concrete: A micro-fabric approach." Transportation Research Record 1757, Transportation Research Board, Washington, D.C., 111-118.
9. Chang, K. G., and Meegoda, J. N. (1997). "Micromechanical simulation of hot mix asphalt." J. Eng. Mech., 123(5), 495-503.
10. Chang, C. S., Shi, Q. S., and Zhu, H. (1999). "Microstructural modeling for elastic moduli of bonded granules." J. Eng. Mech., 125(6),648-653.
11. Christensen, R. M., and Lo, K. H. (1979). "Solutions for effective shear properties in three phase sphere and cylinder models." J. Mech. Phys. Solids, 27, 315-330.
12. Christensen, D. W., Pellien, T., and Bonaquist, R. F. (2003). "Hirsch models for estimating the modulus of asphalt concrete." Asphalt Paving Technol., 72, 97-121.
13. Counto, V. J. (1964). "The effect of the elastic modulus of the aggregate on the elastic modulus, creep, and creep recovery of concrete." Mag. Concrete Res., 62(48), 129-138.
14. Cundall, P. A. (1971). "A computer model for simulating progressive large scale movements in blocky rock systems." Proc., Symp. of the Int. Society of Rock Mechanics, Nancy, France, Vol. 1, Paper No. II-8.
15. Cundall, P. A. (1978). Discrete-element code for modeling granular media, Advanced Technical Group, Dames and Moore, London.
16. Dai, Q. (2004). "Micromechanical modeling of constitutive and damage behavior of heterogeneous asphalt materials." Ph.D. dissertation, Univ. of Rhode Island, Kingston, R.I.
17. Dai, Q., Sadd, M. H., Parameswaran, V., and Shukla, A. (2005). "Prediction of damage behaviors in asphalt materials using a micromechanical finite-element model and image analysis." J. Eng. Mech., 131(7), 668-677.
18. Dai, Q., Sadd, M. H., and You, Z. (2006a). "A micromechanical finite-element model for linear and damage-coupled viscoelastic behavior of asphalt mixture." Int. J. Numer. Analyt. Meth. Geomech., 30(11) 1135-1158.
19. Dai, Q., You, Z., and Sadd, M. H. (2006b). "A micromechanical viscoelasto-plastic model for asphalt mixtures." Geotechnical Special Publication (GSP) Asphalt concrete: Simulation, modeling and experimental characterization, ASCE, 12-20.
20. Dvorkin, J., Nur, A., and Yin, H. (1994). "Effective properties of cemented granular materials." Mech. Mater., 18, 351-366.
21. Guddati, M. N., Feng, Z., and Kim, Y. R. (2002). "Towards a micromechanics-based procedure to characterize fatigue performance of asphalt concrete." Transportation Research Record1789, Transportation Research Board, Washington, D.C., 121-128
22. Hashin, Z. (1962). "The elastic moduli of heterogeneous materials." J. Appl. Mech.JAMCAV0021-8936, 29E, 143-192.
23. Hashin, Z. (1965). "Viscoelastic behaviour of heterogeneous media." J. Appl. Mech.JAMCAV0021-8936, 9, 630-636.
24. Hashin, Z., and Shtrikman, S. (1963). "A variational approach to the theory of the elastic behaviour of multiphase materials." J. Mech. Phys. Solids 11, 127-167.
25. Hirsch, T. J. (1962). "Modulus of elasticity of concrete affected by elastic moduli of cement paste matrix and aggregate." J. Am. Concr. Inst., 59(3), 427-452.
26. Itasca Consulting Group, Inc. (2002). PFC 2D Version 3.0, Minneapolis.
27. Kose, S., Guler, M., Bahia, H. U., and Masad, E. (2000). "Distribution of strains within asphalt binders in hma using image and finite-element techniques." Transportation Research Record 1728, Transportation Research Board, Washington, D.C., 21-27.
28. Krishnan, J. M., and Rao, C. L. (2000). "Mechanics of air voids reduction of asphalt concrete using mixture theory." Int. J. Eng. Sci. 38, 1331-1354.
29. Li, G., Li, Y., Metcalf, J. B., and Pang, S-S. (1999). "Elastic modulus prediction of aspaltic concrete." J. Mater. Civ. Eng. 11(3), 236-241.
30. Masad, E., Jandhyala, V. K., Dasgupta, N., Somadevan, N., and Shashidhar, N. (2002). "Characterization of air void distribution in asphalt mixes using x-ray computed tomography." J. Mater. Civ. Eng. 14(2), 122-129.
31. Mishnaevsky, L., Jr., and Schmauder, S. (2001). "Continuum mesomechanical finite-element modeling in materials development: A state-of-the-art review." Appl. Mech. Rev. 54(1), 49-69.
32. Mohamed, A. R., and Hansen, W. (1999a). "Micromechanical modeling of concrete response under static loading. Part I: Model development and validation." ACI Mater. J. 96(2), 196-203.
33. Mohamed, A. R., and Hansen, W. (1999b). "Micromechanical modeling of concrete response under static loading. Part II: Model predictions for shear and compressive loading." ACI Mater. J. 96(3), 354-358.
34. Mori, T., and Tanaka, K. (1973). "Average stresses in matrix and average energy of materials with misfitting inclusions." Acta Metall., 21, 571-574.
35. Paul, B. (1960). "Prediction of elastic constants of multiphase materials." Trans. Metall. Soc. AIMETMSAAB0543-5722, 218, 36-41.
36. Reuss, A. (1929). Zeitschrift für angewandte mathematik und mechanik, Vol. 9, Verlag des Vereines Deutscher Ingenieure, Berlin.
37. Rothenburg, L., Bogobowicz, A., and Haas, R. (1992). "Micromechanical modeling of asphalt concrete in connection with pavement rutting problems." Proc., 7th Int. Conf. on Asphalt Pavements, 1, 230-245.
38. Sadd, M. H., and Gao, J. Y. (1997). "The effect of particle damage on wave propagation in granular materials." Mechanics of deformation and flow of particulate materials, 159-173.
39. Sadd, M. H., and Gao, J. Y. (1998). "Contact micromechanics modeling of the acoustic behavior of cemented particulate marine sediments." Proc., 12th ASCE Engineering Mechanics Conf., La Jolla, Calif.
40. Sadd, M. H., Dai, Q., Parameswaran, V., and Shukla, A. (2004a). "Microstructural simulation of asphalt materials: Modeling and experimental studies." J. Mater. Civ. Eng., 16(2), 107-115.
41. Sadd, M. H., Dai, Q., Parameswaran, V., and Shukla, A. (2004b). "Simulation of asphalt materials using a finite-element micromechanical model and damage mechanics." Transportation Research Record, 1832. Transportation Research Board, Washington, D.C., 86-94.
42. Sepehr, K., Harvey, O. J., Yue, Z. Q., and El Husswin, H. M. (1994). "Finite-element modeling of asphalt concrete microstructure." Proc., 3rd Int. Conf. Computer-Aided Assessment and Control Localized Damage, Udine, Italy.
43. Soares, J. B., Colares de Freitas, F. A., and Allen, D. H. (2003). "Considering material heterogeneity in crack modeling of asphaltic mixtures." Transportation Research Record 1832, Transportation Research Board, Washington, D.C., 113-120.
44. Trent, B. C., and Margolin, L. G. (1994). "Modeling fracture in cemented granular materials." Fracture Mechanics Applied to Geotechnical Engineering, Proc., ASCE National Convention, Atlanta, 54-69.
45. Uddin, W. (1999). "A micromechanical model for prediction of creep compliance and viscoelastic analysis of asphalt pavements." Presented at the 78th Annual Meeting of TRB, Washington, D.C.
46. Ullidtz, P. (2001). "A study of failure in cohesive particulate media using the discrete-element method." Proc., 80th Transportation Research Board Meeting, Washington, D.C.
47. Voigt, W. (1889). "Ueber die Beziehung zwischen den beiden Elasticitatsconstanten isotroper Korper." Annalen der Physik und Chemie (Leipzig), Weidemann annalen (editor), 38, 573-587; also see Aboudi (1991).
48. Wang, L. B. (2003). "Stress concentration factor using poroelasticity to model asphalt concrete." Proc., Engineering Mechanics Conf., (CD-Rom), Seattle, Wash.
49. You, Z. (2003). "Development of a micromechanical modeling approach to predict asphalt mixture stiffness using discrete-element method." Ph.D. dissertation, Univ. of Illinois at Urbana-Champaign, Urbana, Ill.
50. You, Z., and Buttlar, W. G. (2004). "Discrete-element modeling to predict the modulus of asphalt concrete mixtures." J. Mater. Civ. Eng.JMCEE70899-156110.1061/(ASCE)0899-1561(2004)16:2(140), 16(2), 140-146.
51. You, Z., and Buttlar, W. G. (2005). "Application of discrete-element modeling techniques to predict complex modulus of asphalt-aggregate hollow cylinders subjected to internal pressure." J. Transportation Research Board, Transportation Research Record 1929, National Research Council, Washington, D.C., pp. 218-226.
52. You, Z., and Buttlar, W. G. (2006). "Micromechanical modeling approach to predict compressive dynamic moduli of asphalt mixture using the distinct element method." J. Transportation Research Board, National Research Council, Washington, D.C., in press.
53. Zhong, X., and Chang, C. S. (1997). "Modeling mechanical behavior of cemented granular materials." Proc., 9th Int. Conf. of the Int. Assoc. for Comp. Methods and Advance in Geomechanics, J. Yuan, ed., Balkema, Amsterdam, 975-980.
54. Zhong, X., and Chang, C. S. (1999). "Micromechanical modeling for behavior of cementitious granular materials." J. Eng. Mech.JENMDT0733-939910.1061/(ASCE)0733-9399(1999)125:11(1280), 125(11), 1280-1285.
55. Zhu, H. (2001). "A contact mechanism based theory of Maxwell matrix composites." Int. J. Solids Struct., 38(26-27), 4477-4488.
56. Zhu, H., Chang, S. C., and Lou, A. K. (2000). "2-D normal compliances for elastic and visco-elastic binder contact with finite particle size effect." Int. J. Solids Struct., 37(52), 7703-7716.
57. Zhu, H., Chang, C. S., and Rish, J. W. (1996). "Normal and tangential compliance for conforming binder contact. I: Elastic binder." Int. J. Solids Struct.IJSOAD0020-768310.1016/ 0020-7683(95)00238-3, 33, 4337-4349.
58. Zhu, H., and Nodes, J. E. (2000). "Contact based analysis of asphalt pavement with the effect of aggregate angularity." Mech. Mater.MSMSD30167-663610.1016/S0167-6636(99)00054-X, 32(3), 193-202.
59. Zhu, H., Rish, J. W., III, and Batra, S. (2001). "A constitutive study of two-phase materials. Part II: Maxwell binder." Comput. Geotech.ZZZZZZ0266-3524, 28(5), 309-323.