Finite-Element Analysis of Hot Mix Asphalt Microstructure Using Effective Local Material Properties and Strain Gradient Elasticity
Publication: Journal of Engineering Mechanics
Volume 132, Issue 2
Abstract
This paper presents the development of a methodology for microstructure analysis and modeling of hot mix asphalt (HMA). This methodology relies on using effective local material properties and strain gradient theory in the finite element analysis of HMA microstructure. The effective local properties are calculated using an analytical micromechanical model that captures the influence of percent of particles on the microscopic response of HMA. Strain gradient elasticity is used in order to account for the effect of particle size in the finite element analysis. The autocorrelation function and the moving window technique are used to determine the microstructure characteristic length scales that are used in strain gradient elasticity. A number of asphalt mixes with different aggregate types and size distributions are analyzed in this paper.
Get full access to this article
View all available purchase options and get full access to this article.
References
Abbas, A., Papagiannakis, T., and Masad, E. (2001). “Relating the microstructure of asphalt mixes to their constitutive behavior.” Proc., 2001 ASCE-ASME-SES Joint Applied Mechanics and Materials Summer Conf., Univ. of California, San Diego, LaJolla, Calif.
Aifantis, E. C. (1984). “On the microstructural origin of certain inelastic models.” J. Eng. Mater. Technol., 106(4), 326–330.
Aifantis, E. C. (1987). “The physics of plastic deformation.” Int. J. Plast., 3, 211–247.
Bathe, K.-J. (1996). Finite element procedures, Prentice-Hall, Englewood Cliffs, N.J.
Baxter, S. C., and Graham, L. L. (2000). “Characterization of random composites using moving-window technique.” J. Eng. Mech., 126(4), 389–397.
Berryman, J., and Blair, S. (1986). “Use of digital image analysis to estimate fluid permeability of porous materials: Application of two-point correlation functions.” J. Appl. Phys., 60(6), 1930–1938.
Buttlar, W. G., Bozkurt, D., Al-Khateeb, G., and Waldhoff, A. S. (1999). “Understanding asphalt mastic behavior through micromechanics.” Transportation Research Record 1681, Transportation Research Board, National Research Council, Washington, D.C., 157–169.
Buttlar, W. G., and You, Z. (2001). “Discrete element modeling of asphalt concrete: Microfabric approach.” Transportation Research Record 1757, Transportation Research Board, National Research Council, Washington, D.C., 111–118.
Chang, K. G., and Meegoda, J. (1997). “Micromechanical simulation of hot mix asphalt.” J. Eng. Mech., 123(5), 495–503.
Christensen, R. M. (1979). Mechanics of composite materials, 2nd Ed., Wiley, New York.
Christensen, R. M. (1990). “Critical evaluation for a class of micro-mechanics models.” J. Mech. Phys. Solids, 38(3), 379–404.
Cosserat, E., and Cosserat, F. (1909). A. Hermann, ed., Theorie de Corps Deformables, Paris.
Debye, P., Anderson, H. R., and Brumberger, H. (1957). “Scattering by an inhomogeneous solid. II. The correlation function and its application.” J. Appl. Phys., 28, 679–683.
Deshpande, V. S. (1995). “Deformation behaviour of idealized bituminous mixes.” Master thesis, Univ. of Cambridge, Cambridge, U.K.
Deshpande, V. S., and Cebon, D. (1999). “Steady-state constitutive relationship for idealized asphalt mixes.” Mech. Mater., 31, 271–287.
Dessouky, S., Masad, E., and Bayomy, F. (2004). “Prediction of hot mix asphalt stability using the superpave gyratory compactor.” J. Mater. Civ. Eng., 16(6), 578—587.
Graham, L. L., and Baxter, S. C. (2001). “Simulation of local material properties based on moving-window GMC.” Probab. Eng. Mech., 16(4), 295–305.
Green, A. E., and Rivlin, R. S. (1964). “Simple force and stress multipoles.” Arch. Ration. Mech. Anal., 16, 325–3534.
Hills, J. F. (1973). “The creep of asphalt concrete mixes.” J. Inst. Pet., 59(570), 247.
Kim, Y. R., and Little, D. (2004). “Linear viscoelastic analysis of asphalt mastics.” J. Mater. Civ. Eng., 16(2), 122—132.
Kose, S., Guler, M., Bahia, H. U., and Masad, E. (2000). “Distribution of strains within hot-mix asphalt binders.” Transportation Research Record 1391, Transportation Research Board, National Research Council, Washington, D.C., 21–27.
Masad, E., and Somadevan, N. (2002). “Microstructural finite element analysis of the influence of localized strain distribution on asphalt mix properties.” J. Eng. Mech., 129(10), 1105–1114.
Masad, E., Somadevan, N., Bahia, H., and Kose, S. (2001). “Modeling and experimental measurements of localized strain distribution in asphalt mixes.” J. Transp. Eng., 127(6), 477–485.
Mindlin, R. D. (1965). “Second gradient of strain and surface tension in linear elasticity.” Int. J. Solids Struct., 1, 417–438.
Monismith, C. L. (1992). “Analytically based asphalt pavement design and rehabilitation.” Transportation Research Record 1354, Transportation Research Board, National Research Council, Washington, D.C., 5–26.
Paley, M., and Aboudi, J. (1992). “Micromechanical analysis of composites by the generalized cells model.” Mech. Mater., 14(2), 127–139.
Papagiannakis, T., Abbas, A., and Masad, E. (2002). “Micromechanical analysis of the viscoelastic properties of asphalt concretes.” Transportation Research Record 1789, Transportation Research Board, National Research Council, Washington, D.C., 113–120.
Roberts, F. L., Kandhal, P. S., Brown, E. R., Lee, D., and Kennedy, T. (1996). Hot mix asphalt materials, mixture design and construction, NAPA Education Foundation.
Rothenburg, L., Bogobowicz, A., Haas, R., Jung, F. W., and Kennepohl, G. (1992). “Micromechanical modeling of asphalt concrete in connection with pavement rutting problems.” Proc., 7th Int. Conf. on Asphalt Pavement, Nottingham, U.K.
Somadevan, N. (2000). “Measurements and modeling of strain distribution in asphalt concrete mixes.” Master thesis, Dept. of Civil and Environmental Engineering, Washington State Univ., Pullman, Wash.
Toupin, R. A. (1962). “Elastic materials with couple stresses.” Arch. Ration. Mech. Anal., 11, 385–414.
Truesdell, C., and Toupin, R. A. (1960). “The classical field theories.” Handbuch der physic, III/I, Berlin-Gottingen-Heidelberg.
Van der Poel, C. (1954). “A general system describing the viscoelastic properties of bitumens and its relation to routine test data.” J. Appl. Chem., 4, 221–236.
Weissman, S. L., Sackman, J. L., Harvey, J., and Long, F. (1999). “Selection of laboratory test specimen dimensions for permanent deformation of asphalt concrete pavements.” Transportation Research Record 1681, Transportation Research Board, National Research Council, Washington, D.C., 113–120.
Zbib, H. M., and Aifantis, E. C. (1989). “A gradient dependent flow theory of plasticity: Application to metal and soil instabilities.” Appl. Mech. Rev., 42(11), 295–304.
Zbib, H. M., and Aifantis, E. C. (1992). “On the gradient dependent theory of plasticity and shear banding.” Acta Mech., 92, 209–225.
Information & Authors
Information
Published In
Copyright
© 2006 ASCE.
History
Received: Feb 13, 2004
Accepted: May 16, 2005
Published online: Feb 1, 2006
Published in print: Feb 2006
Notes
Note. Associate Editor: Bojan B. Guzina
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.