Skip to main content
Log in

Interaction nonlinearity in asphalt binders

  • Published:
Mechanics of Time-Dependent Materials Aims and scope Submit manuscript

Abstract

Asphalt mixtures are complex composites that comprise aggregate, asphalt binder, and air. Several research studies have shown that the mechanical behavior of the asphalt mixture is strongly influenced by the matrix, i.e. the asphalt binder. Characterization and a thorough understanding of the binder behavior is the first and crucial step towards developing an accurate constitutive model for the composite. Accurate constitutive models for the constituent materials are critical to ensure accurate performance predictions at a material and structural level using micromechanics. This paper presents the findings from a systematic investigation into the nature of the linear and nonlinear response of asphalt binders subjected to different types of loading using the Dynamic Shear Rheometer (DSR). Laboratory test data show that a compressive normal force is generated in an axially constrained specimen subjected to torsional shear. This paper investigates the source of this normal force and demonstrates that the asphalt binder can dilate when subjected to shear loads. This paper also presents the findings from a study conducted to investigate the source of the nonlinearity in the asphalt binder. Test results demonstrate that the application of cyclic shear loads results in the development of a normal force and a concomitant reduction in the dynamic shear modulus. This form of nonlinear response is referred to as an “interaction nonlinearity”. A combination of experimental and analytical tools is used to demonstrate and verify the presence of this interaction nonlinearity in asphalt binders. The findings from this study highlight the importance of modeling the mechanical behavior of asphalt binders based on the overall stress state of the material.

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

Access this article

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

  • ABAQUS Theory Manual, Version 6.7 (2007)

  • Airey, G.D., Rahimzadeh, B., Collop, A.C.: Linear rheological behavior of bituminous paving materials. J. Mater. Civ. Eng. 16(3), 212–220 (2004)

    Article  Google Scholar 

  • Anderson, D.A., Christensen, D.W., Bahia, H.U., Dongre, R., Sharma, M.G., Antle, C.E., Button, J.: Binder characterization and evaluation, vol. 3: Physical characterization. Strategic Highway Research Program, Report SHRP-A-369, National Research Council, Washington, DC, ISBN 0-309-05767-1 (1994)

  • Bahia, H.U., Hanson, D.I., Zeng, M., Zhai, H., Khatri, M.A., Anderson, R.M.: Characterization of modified asphalt binders in superpave mix design. Publication NCHRP 459. National Academy Press, Washington, DC (2001)

  • Biot, M.A.: Mechanics of Incremental Deformations. Wiley, New York (1965)

    Google Scholar 

  • Brinson, H.F., Brinson, L.C.: Polymer Engineering Science and Viscoelasticity: An Introduction. Springer, Berlin (2008)

    Book  Google Scholar 

  • Carreau, P.J., De Kee, D.C.R., Chhabra, R.P.: Rheology of Polymeric Systems—Principles and Applications. Hanser/Gardner Publications, Cincinnati (1997)

    Google Scholar 

  • Cheung, C.Y., Cebon, D.: Deformation mechanisms of pure bitumen. J. Mater. Civ. Eng. 9(3), 117–129 (1997)

    Article  Google Scholar 

  • Delgadillo, R.: Nonlinearity of asphalt binder and the relationship with asphalt mixture permanent deformation. Ph.D. thesis, University of Wisconsin at Madison (2008)

  • Di Benedetto, H., Olard, F., Sauzeat, C., Delaporte, B.: Linearly viscoelastic behavior of bituminous materials: from binders to mixes. Int. J. Road Mater. Pavem. Des. 5, 163–202 (2004)

    Google Scholar 

  • Dinzart, F., Molinari, A., Herbach, R.: Thermomechanical response of a viscoelastic beam under cyclic bending; self-heating and thermal failure. Sixty Years of the Archives of Mechanics, Warszawa, pp. 59–85 (2008)

  • Drakos, C., Roque, R., Birgisson, B.: Effect of measured tire contact stresses on near-surface rutting. Transportation research record No. 1764. National Research Council, Washington, DC, pp. 59–69 (2001)

  • Ferry, J.D.: Viscoelastic Properties of Polymers. Wiley, New York (1980)

    Google Scholar 

  • Findley, W.N., Lai, J.S., Onaran, K.: Creep and Relaxation of Nonlinearly viscoelastic Materials with Introduction to linearly viscoelasticity. North-Holland Series in Applied Mathematics and Mechanics. North-Holland, Amsterdam (1976)

    Google Scholar 

  • Freudenthal, A.M., Ronay, M.: Second order effects in disspative media. Proc. R. Soc. Lond. Ser. A, Math. Phys. Sci. 292(1428), 14–50 (1966)

    Article  Google Scholar 

  • Fung, Y.: Foundations of Solid Mechanics. Prentice-Hall, New York (1965)

    Google Scholar 

  • Gould, P.L.: Introduction to Linear Elasticity, 1st edn. Springer, Berlin (1983)

    Book  MATH  Google Scholar 

  • Haward, R.N.: Heating effects in the deformation of thermoplastics. Thermochim. Acta 247, 87–109 (1994)

    Article  Google Scholar 

  • Huang, C.: Development and numerical implementation of nonlinear viscoelasic-viscoplastic model for asphalt materials. Ph.D. thesis, Texas A&M University (2008)

  • Huang, Y.H.: Pavement Analysis and Design. Second Edition. Pearson/Prentice Hall, Upper Saddle River/New York (2004)

    Google Scholar 

  • Kim, Y.R., Little, D.N.: Linearly viscoelastic analysis of asphalt mastic. J. Mater. Civ. Eng. 16(2), 122–132 (2004)

    Article  Google Scholar 

  • Knauss, W.G., Emri, I.J.: Nonlinearly viscoelasticity based on free volume consideration. Comput. Struct. 13, 123–128 (1981)

    Article  MATH  Google Scholar 

  • Kose, S.: Development of a Virtual Test Procedure for Asphalt Concrete. Ph.D. thesis, University of Wisconsin at Madison (2001)

  • Lakes, R.S.: Viscoelastic Materials. Cambridge University Press, Cambridge (2009)

    Book  Google Scholar 

  • Lakes, R.S., Kose, S., Bahia, H.U.: Analysis of high volume fraction irregular particles damping composites. ASME. J. Eng. Mater. Technol. 124, 174–178 (2002)

    Article  Google Scholar 

  • Leaderman, H.: Viscoelasticity phenomena in amorphous high polymeric systems. J. Rheol. 2, 1–61 (1958)

    MathSciNet  Google Scholar 

  • Lu, H., Knauss, W.G.: The role of dilatation in the nonlinearly viscoelastic behavior of PMMA under multiaxial stress states. Mech. Time-Depend. Mater. 2(4), 307–334 (1998)

    Article  Google Scholar 

  • Macosko, C.W.: Rheology Principle, Measurements, and Applications. Wiley, New York (1995)

    Google Scholar 

  • Marasteanu, O., Anderson, D.A.: Improved model for bitumen rheological characterization. In: Eurobitume Workshop on Performance Related Properties for Bituminous Binder, Luxembourg, Paper No. 133 (1999)

    Google Scholar 

  • Masad, E., Somevadan, N., Bahia, H.U., Kose, S.: Modeling and experimental measurements of strain distribution in asphalt mixes. J. Transp. Eng. 127(6), 477–485 (2001)

    Article  Google Scholar 

  • Masad, E., Huang, C., Airey, G., Muliana, A.: Nonlinearly viscoelastic analysis of unaged and aged asphalt binders. Constr. Build. Mater. 22(11), 2170–2179 (2008)

    Article  Google Scholar 

  • Molinari, A., Germain, Y.: Self-heating and thermal failure of polymers sustaining a compressive cyclic loading. Int. J. Solids Structure 33, 3439–3462 (1996)

    Article  MATH  Google Scholar 

  • Motamed, A., Bahia, H.U.: Influence of test geometry, temperature, stress level, and loading duration on binder properties measured using DSR. J. Mat. Civ. Eng. ASCE, (2011, accepted)

  • Park, S.J., Liechti, K.M.: Rate-dependent large strain behavior of a structural adhesive. J. Mech. Time-Depend. Mater. 7, 143–164 (2003)

    Article  Google Scholar 

  • Park, S.J., Liechti, K.M., Roy, S.: Simplified bulk experiments and hygrothermal nonlinearly viscoelasticity. J. Mech. Time-Depend. Mater. 8, 303–344 (2004)

    Article  Google Scholar 

  • Park, S., Liechti, K.M., Roy, S.: A nonlinearly viscoelastic fracture analysis of concrete/frp delamination in aggressive environments. Int. J. Fract. 142(1), 9–27 (2006)

    Article  Google Scholar 

  • Popelar, C.F., Liechti, K.M.: Multiaxial nonlinearly viscoelastic characterization and modeling of a structural adhesive. J. Eng. Mater. Techn. 119, 205–210 (1997)

    Article  Google Scholar 

  • Popelar, C.F., Liechti, K.M.: A distortion-modified free volume theory for nonlinearly viscoelastic behavior. J. Mech. Time-Depend. Mater. 7, 89–141 (2003)

    Article  Google Scholar 

  • Poynting, J.I.-I.: On pressure perpendicular to the shear-planes in finite pure shears. Proc. R. Soc. Lond. Ser. A, Math. Phys. Sci. 82, 546–559 (1909)

    Article  MATH  Google Scholar 

  • Rittel, D.: An investigation of the heat generated during cyclic loading of two glassy polymers. Part I. Experimental. Mech. Mater. 32, 131–147 (2000)

    Article  Google Scholar 

  • Riddell, M.N., Koo, G.P., O’Toole, J.L.: Fatigue mechanisms of thermoplastics. Polymer Engineering & Science, 363–368 (1966)

  • Sadd, M.H.: Theory, Applications, and Numerics. 2nd ed. Academic Press, San Diego (2009)

    Google Scholar 

  • Schapery, R.A.: Thermomechanical behavior of viscoelastic media with variable properties subjected to cyclic loading. J. Appl. Mech. 32, 611–619 (1965)

    Article  MathSciNet  Google Scholar 

  • Schapery, R.A.: Further development of a thermodynamic constitutive theory: stress formulation. Purdue University report AA&ES 69-2 (1969)

  • Schetzen, M.: The Volterra and Wiener Theories of Nonlinear Systems. Wiley, New York (1980)

    MATH  Google Scholar 

  • Shames, I.H.: Mechanics of Fluids. McGraw-Hill, New York (2002)

    Google Scholar 

  • Shuku, T.: Effect of geometric non-linearity on the deformation behavior of linear elastic ground. In: Proceedings of the Nineteenth International Offshore and Polar Engineering Conference (2009)

    Google Scholar 

  • Taylor, G.I., Quinney, H.: The latent energy remaining in a metal after cold working. Proc. R. Soc. Lond. A, Math. Phys. Sci. 143, 307–326 (1934)

    Article  Google Scholar 

  • Tormey, J.F., Britton, S.C.: Effect of cyclic loading on solid propellant grain structure. AIAA J. 1, 1763–1770 (1963)

    Article  Google Scholar 

  • You, Z., Dai, Q.: A review of advances in micromechanical modeling of aggregate-aggregate interaction in asphalt mixture. Can. J. Civ. Eng. 34(2), 1519–1528 (2007)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kenneth M. Liechti.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Motamed, A., Bhasin, A. & Liechti, K.M. Interaction nonlinearity in asphalt binders. Mech Time-Depend Mater 16, 145–167 (2012). https://doi.org/10.1007/s11043-011-9141-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11043-011-9141-1

Keywords

Navigation