Skip to main content
SpringerLink
Log in

Viscoelastic micromechanical model for dynamic modulus prediction of asphalt concrete with interface effects

  • Geological, Civil, Energy and Traffic Engineering
  • Published:
Journal of Central South University Aims and scope Submit manuscript

Abstract

A viscoelastic micromechanical model is presented to predict the dynamic modulus of asphalt concrete (AC) and investigate the effect of imperfect interface between asphalt mastic and aggregates on the overall viscoelastic characteristics of AC. The linear spring layer model is introduced to simulate the interface imperfection. Based on the effective medium theory, the viscoelastic micromechanical model is developed by two equivalence processes. The present prediction is compared with available experimental data to verify the developed framework. It is found that the proposed model has the capability to predict the dynamic modulus of AC. Interface effect on the dynamic modulus of AC is discussed using the developed model. It is shown that the interfacial bonding strength has a significant influence on the global mechanical performance of AC, and that continued improvement in surface functionalization is necessary to realize the full potential of aggregates reinforcement.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. ANDREI D, WITCZAK M W, MIRZA M W. Development of a revised predictive model for the dynamic (complex) modulus of asphalt mixtures [R]. NCHRP 1-37A, Inter Team Report, University of Maryland, 1999.

    Google Scholar 

  2. National Cooperative Highway Research Program. Simple performance test for superpave mix design [R]. NCHRP 9-19, Interim Report, National Research Council, 2003.

    Google Scholar 

  3. BONAQUIST R. Simple performance tester for superpave mix design [K]. NCHRP 9-29, Quarterly Progress Report (Appendix B), 2003.

    Google Scholar 

  4. SHU Xiang, HUANG Bao-shan. Micromechanics-based dynamic modulus prediction of polymeric asphalt concrete mixtures [J]. Composites Part B: Engineering 2008, 39: 704–713.

    Article  Google Scholar 

  5. HUANG Bao-shan, ASCE M, SHU Xiang, LI Guo-qiang, CHEN Lei-shang. Analytical modeling of three-layered HMA mixtures [J]. International Journal of Geomechanics 2007, 7: 140–148.

    Article  Google Scholar 

  6. DAI Qing-li. Two-and three-dimensional micromechanical viscoelastic finite element modeling of stone-based materials with X-ray computed tomography images [J]. Construction and building Materials 2011, 25: 1102–1114.

    Article  Google Scholar 

  7. CHEN Ye-kai, YU Jiang-miao, ZHANG Xiao-ning. Micromechanical analysis of damage evolution in splitting test of asphalt mixtures [J]. Journal of Central South University of Technology 2010, 17: 628–634.

    Article  Google Scholar 

  8. CHEN Jun, WANG Lin-bing, HUANG Xiao-ming. Micromechanical modeling of asphalt concrete fracture using a user-defined three-dimensional discrete element method [J]. Journal of Central South University 2012, 19: 3595–3602.

    Article  Google Scholar 

  9. YU Hua-nan, SHEN Shi-hui. A micromechanical based three-dimensional DEM approach to characterize the complex modulus of asphalt mixtures [J]. Construction and building Materials 2013, 38: 1089–1096.

    Article  Google Scholar 

  10. DONDI G, VIGNALI V, PETTINARI M, MAZZOTTA F, SIMONE A, SANGIORGI C. Modeling the DSR complex shear modulus of asphalt binder using 3D discrete element approach [J]. Construction and building Materials 2014, 54: 236–246.

    Article  Google Scholar 

  11. ZHU Xing-yi, CHEN Long. Numerical prediction of elastic modulus of asphalt concrete with imperfect bonding [J]. Construction and building Materials 2012, 35: 45–51.

    Article  Google Scholar 

  12. ZHU Xing-yi, WANG Xin-fei, YU Ying. Micromechanical creep models for asphalt-based multi-phase particle-reinforced composites with viscoelastic imperfect interface [J]. International Journal of Engineering Science 2014, 76: 34–46.

    Article  Google Scholar 

  13. BENVENISTE Y. The effective mechanical behavior of composite materials with imperfect contact between the constituents [J]. Mechanics of Materials 1985, 4: 197–208.

    Article  Google Scholar 

  14. HASHIN Z. Thermoelastic properties of fiber composites with imperfect interface [J]. Mechanics of Materials 1990, 8: 333–348.

    Article  Google Scholar 

  15. QU Jian-min. Eshelby tensor for an elastic inclusion with slightly weakened interface [J]. Journal of Applied Mechanics, 1993a, 60: 1048–1050.

    Article  MATH  Google Scholar 

  16. QU Jian-min. The effect of slightly weakened interfaces on the overall elastic properties of composite materials [J]. Mechanics of Materials, 1993b, 14: 269–281.

    Article  Google Scholar 

  17. RIZZO F J, SHIPPY D J. An application of the correspondence principle of linear viscoelasticity theory [J]. SIAM Journal on Applied Mathematics 1971, 21: 321–330.

    Article  MATH  Google Scholar 

  18. SIM W J, KWAK B M. Linear viscoelastic analysis in times domain by boundary element method [J]. Computers & Structures 1988, 29: 531–537.

    Article  MATH  Google Scholar 

  19. TSCHOEGL N W. The phenomenological theory of linear viscoelastic behavior [M]. Berlin: Springer, 1989.

    Book  MATH  Google Scholar 

  20. KIM Y R, LITTLE D N. Linear viscoelastic analysis of asphalt mastics [J]. Journal of Materials in Civil Engineering 2004, 16: 122–132.

    Article  Google Scholar 

  21. SHU Xiang, HUANG Bao-shan. Dynamic modulus prediction of HMA mixtures based on the viscoelastic micromechanical model [J]. Journal of Materials in Civil Engineering 2008, 20: 530–538.

    Article  Google Scholar 

  22. PAN Y, WENG G J, MEGUID S A, BAO W S, ZHU Z H, HAMOUDA A M S. Interface effects on the viscoelastic characteristics of carbon nanotube polymer matrix composites [J]. Mechanics of Materials 2013, 58: 1–11.

    Article  Google Scholar 

  23. ESHELBY J D. The determination of the elastic field of an ellipsoidal inclusion, and related problems [J]. Proceedings of the Royal Society of London Series A: Mathematical and Physical Sciences 1957, 241: 376–396.

    Article  MathSciNet  MATH  Google Scholar 

  24. CHRISTENSEN R M. Mechanics of composite materials [M]. New York: Wiley, 1979.

    Google Scholar 

  25. MORI T, TANAKA K. Average stress in matrix and average elastic energy of materials with misfitting inclusions [J]. Acta Metallurgica 1973, 21(5): 571–574.

    Article  Google Scholar 

  26. QU Jian-min, CHERKAOUI M. Fundamentals of micromechanics of solids [M]. New Jersey: John Wiley & Sons, Inc, 2006.

    Book  Google Scholar 

  27. LI Guo-qiang, LI Yong-qi, METCALF J B, PANG Su-seng. Elastic modulus prediction of asphalt concrete [J]. Journal of Materials in Civil Engineering 1999, 11: 236–241.

    Article  Google Scholar 

  28. ANDERSON D A, GOETZ W H. Mechanical Behavior and reinforcement of Mineral Filler-Asphalt Mixtures [J]. Journal of the Association of Asphalt Paving Technologists 1973, 42: 37–66.

    Google Scholar 

  29. BUTTLAR W G, BOZKURT D, AL-KHATEEB G G, WALDHOFF A S. Understanding asphalt mastic behavior through micromechanics [J]. Transportation Research Record: Journal of the Transportation Board 1999, 1681: 157–169.

    Article  Google Scholar 

  30. LI Yong-qi, METCALF J B. Two-step approach to prediction of asphalt concrete modulus from two-phase micromechanical models [J]. Journal of Materials in Civil Engineering 2005, 17: 407–415.

    Article  Google Scholar 

  31. YOU Z, BUTTLAR W G. Micromechanical modeling approach to predict compressive dynamic moduli of asphalt mixture using the distinct element method [J]. Transportation Research Record: Journal of the Transportation Research Board 2006, 1970(1): 73–83.

    Article  Google Scholar 

  32. ZHU Xing-yi, YANG Zhong-xuan, GUO Xing-ming, CHEN Wei-qiu. Modulus prediction of asphalt concrete with imperfect bonding between aggregate-asphalt mastic [J]. Composites: Part B 2011, 42: 1404–1411.

    Article  Google Scholar 

  33. LIU Yu, DAI Qing-li, YOU Zhan-ping. Viscoelastic model for discrete element simulation of asphalt mixtures [J]. Journal of Engineering Mechanics 2009, 135: 324–333.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Transportation Engineering, Hefei University of Technology, Hefei, 230009, China

    Man-sheng Dong  (董满生), Yang-ming Gao  (高仰明), Ling-lin Li  (李凌林), Li-na Wang  (王利娜) & Zhi-bin Sun  (孙志彬)

Authors
  1. Man-sheng Dong  (董满生)
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yang-ming Gao  (高仰明)
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ling-lin Li  (李凌林)
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Li-na Wang  (王利娜)
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Zhi-bin Sun  (孙志彬)
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Man-sheng Dong  (董满生).

Additional information

Foundation item: Project(51408173) supported by the National Natural Science Foundation of China

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dong, Ms., Gao, Ym., Li, Ll. et al. Viscoelastic micromechanical model for dynamic modulus prediction of asphalt concrete with interface effects. J. Cent. South Univ. 23, 926–933 (2016). https://doi.org/10.1007/s11771-016-3140-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-016-3140-y

Key words

Search

Navigation