Microstructural Viscoplastic Continuum Model for Permanent Deformation in Asphalt Pavements
Publication: Journal of Engineering Mechanics
Volume 131, Issue 1
Abstract
Permanent deformation is one of the major distresses in asphalt pavements. It is caused mainly by high traffic loads associated with high field temperatures. An anisotropic viscoplastic continuum damage model is developed in this study to describe permanent deformation of asphalt pavements. The model is based on Perzyna’s formulation with Drucker–Prager yield function modified to account for material anisotropy and microstructure damage. The material anisotropy is captured through microstructural analysis of aggregate distribution on two-dimensional sections of hot mix asphalt. A damage parameter is included in the model to quantify the nucleation of cracks and growth of air voids and cracks. A parametric study was conducted to demonstrate the sensitivity of the model to strain rate, aggregate distribution, and microstructure damage. Triaxial strength and static creep measurements obtained from the Federal Highway Administration Accelerated Loading Facility were used to determine the model parameters.
Get full access to this article
View all available purchase options and get full access to this article.
References
Arramon, Y. P., Mehrabadi, M. M., Martin, D. W., and Cowin, S. C. (2000). “A multidimensional anisotropic strength criterion based on Kelvin modes.” Int. J. Solids Struct., 37, 2915–2935.
Braz, D., da Motta, L. M. G., and Lopes, R. T. (1999). “Computed tomography in the fatigue test analysis of an asphaltic mixture.” Appl. Radiat. Isot., 50, 661–671.
Chaboche, J. L. (1988). “Continuum damage mechanics: Part I-general concepts.” J. Appl. Mech., 55, 59–64.
Chehab, G. R., Kim, Y. R., Schapery, R. A., Witczak, M. W., and Bonaquist, R. (2003). “Characterization of asphalt concrete in uniaxial tension using a viscoelastoplastic model.” Presented at the Association of Asphalt Paving Technologists 78th Annual Meeting (CD ROM), Lexington, Ky.
Chen, W. F., and Han, D. J. (1988). Plasticity for structural engineers, Springer, New York.
Desai, C. S., and Zhang, D. (1987). “Viscoplastic model for geologic materials with generalized flow rule.” Int. J. Numer. Analyt. Meth. Geomech., 11, 603–620.
Florea, D. (1994a). “Associated elastic∕viscoplastic model for bituminous concrete.” Int. J. Eng. Sci., 32(1), 79–86.
Florea, D. (1994b). “Nonassociated elastic∕viscoplastic model for bituminous concrete.” Int. J. Eng. Sci., 32(1), 87–93.
Huang, B., Mohamad, L., and Wathugala, W. (2002). “Development of a thermoviscoplastic constitutive model for HMA mixtures.” J. Assoc. Asphalt Paving Technologists, 71, 594–618.
Image Pro Plus, Version 4.0. (1998). Media Cybernetics, L.P, Georgia, Md.
Kachanov, L. M. (1958). “On creep fracture time.” Izv. Akad. Nauk. SSSR, Met., 8, 26–31 (in Russian).
Kaloush, K. (2001). “Simple performance test for permanent deformation of asphalt mixtures.” PhD dissertation, Arizona State Univ., Tempe, Az.
Lu, Y., and Wright, P. J. (1998). “Numerical approach of visco-elastoplastic analysis for asphalt mixtures.” J. Comput. Struct., 69, 139–147.
Lytton, R. (2000). “Characterizing asphalt pavements for performance.” Transp. Res. Rec., 1723, Transportation Research Board, Washington, D.C., 5–16.
Lytton, R. et al. (1993). “Development and validation of performance prediction models and specifications for asphalt binders and paving mixes.” The Strategic Highway Research Program Rep. No. SHRP-A-357, National Research Council, Washington, D.C.
Masad, E., Muhunthan, B., Shashidhar, N., and Harman, T. (1999). “Internal structure characterization of asphalt concrete using image analysis.” J. Comput. Civ. Eng. (Special Issue on Image Processing), 13(2), 88–95.
Murakami, S. (1983). “Notation of continuum damage mechanics and its application to anisotropic creep damage theory.” J. Eng. Mater. Technol., 105, 99–105.
Oda, M. (1978). “Significance of fabric in granular mechanics,” Proc., U.S. Japan Seminar on Continuum-Mechanics and Statistical Approaches in the Mechanics of Granular Materials, S. C. Cowin and M. Satake, eds., 47–62.
Oda, M., and Nakayama, H. (1989). “Yield function for soil with anisotropic fabric.” J. Eng. Mech., 15(1), 89–104.
Park, D. (2004). “Characterization of permanent deformation in asphalt concrete using a laboratory method and an elastic–viscoplastic model.” PhD dissertation, Texas A&M Univ., College Station, Tex.
Park, S. W., Kim, Y. R., and Schapery, R. A. (1996). “A viscoelastic continuum damage model and its application to uniaxial behavior of asphalt concrete.” Mech. Mater., 24, 241–255.
Perzyna, P. (1966). “Fundamental problems in viscoplasticity.” Adv. Appl. Mech., 9, 243–377.
Perzyna, P. (1984). “Constitutive modeling of dissipative solids for postcritical behavior and fracture.” J. Eng. Mater. Technol., 106, 410–419.
Rowe, P. (1962). “The stress dilatancy relation for static equilibrium of an assembly of particles in contact.” Proc. R. Soc. London, Ser. A, 269, 500–527.
Scarpas, A., Blaauwendraad, J., Al-Khoury, R., and Van Gurp, C. (1997). “Experimental calibration of a viscoplastic-fracturing computational model.” Proc., Int. Conf. on Computational Methods and Experimental Measurements, CMEM, 643–652.
Seibi, A. C., Sharma, M. G., Ali, G. A., and Kenis, W. J. (2001). “Constitutive relations for asphalt concrete under high rates of loading.” Transp. Res. Rec., 1767, Transportation Research Board, Washington, D.C., 111–119.
Sides, A., Uzan, J., and Perl, M. (1985). “A comprehensive visco-elastoplastic characterization of sand-asphalt under compression and tension cyclic loading.” J. Test. Eval., 13, 49–59.
Sousa, J. B., and Weissman, S. (1994). “Modeling permanent deformation of asphalt concrete mixtures.” J. Assoc. Asphalt Paving Technologists, 63, 224–257.
Sousa, J. B., Weissman, S., Sackman, J., and Monismith, C. L. (1993). “A nonlinear elastic viscous with damage model to predict permanent deformation of asphalt concrete mixtures.” Transp. Res. Rec., 1384, Transportation Research Board, Washington, D.C., 80–93.
Tashman, L. (2003). “Microstructural viscoplastic continuum model for asphalt concrete PhD dissertation, Texas A&M Univ., College Station, Tex.
Tashman, L., Masad, E., D’Angelo, J., Bukowski, J., and Harman, T. (2002). “X-ray tomography to characterize air void distribution in superpave gyratory compacted specimens.” Int. J. Pavement Eng., 3(1), 19–28.
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.” J. Assoc. Asphalt Paving Technologists, 70, 605–645.
Tobita, Y. (1989). “Fabric tensors in constitutive equations for granular materials,” Soils Found., 29(4), 99–104.
Uzan, J. (1996). “Asphalt concrete characterization for pavement performance prediction.” J. Assoc. Asphalt Paving Technologists, 65, 573–607.
Vermeer, P. A. (1984). “A five constant constitutive model unifying well-established concepts.” Constitutive relations for soils, G. Gudehus, F. Darve, and I. Vardoulakis, eds., Balkema, Rotterdam, The Netherlands, 175–197.
Wong, R., and Arthur, J. (1985). “Induced and inherent anisotropy in sand.” Geotechnique, 35(4), 471–481.
Zbib, H. M., and Aifantis, E. C. (1986). “Instabilities during tension of thin voided viscoplastic sheets.” Metall. Trans. A, 17A, 1637–1640.
Information & Authors
Information
Published In
Copyright
© 2004 ASCE.
History
Received: Jan 31, 2003
Accepted: Jun 2, 2004
Published online: Jan 1, 2005
Published in print: Jan 2005
Notes
Note. Associate Editor: Victor N. Kaliakin
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.