Viscoelastoplastic Continuum Damage Model for Asphalt Concrete in Tension
Publication: Journal of Engineering Mechanics
Volume 137, Issue 11
Abstract
A viscoelastoplastic continuum damage model has been derived and characterized for describing the behavior of asphalt concrete subject to an all-around confining pressure and deviatoric tension loading. The primary application of this model is to better understand the fatigue damage process in asphalt concrete pavements. As a result of this application and because of the bimodal behavior of this material outside the linear viscoelastic range, the modeling effort has focused primarily on the tensile characteristics. The developed model uses the elastic-viscoelastic correspondence principle, work-potential theory with damage mechanics, time-temperature superposition with growing damage, and strain-hardening viscoplasticity to arrive at a constitutive relationship. This relationship considers the experimentally observed transformation of asphalt concrete from an initially isotropic material to a transversely isotropic one by using a single-state parameter and three different damage functions. The relationship between these damage functions and the more conventional values of the modulus and Poisson’s ratio is shown to gain further physical insight into the material. Characterization of the model is performed by using constant crosshead rate monotonic tension tests with and without confinement and low strain temperature and frequency sweep complex modulus tests. The model is found to adequately describe the response of asphalt concrete under constant crosshead rate tension tests at various rates and two temperatures, the conditions that are not used in characterization.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This study was performed under FHAFHWA DTFH61-05-H-00019. The writers wish to gratefully acknowledge the financial support of the Federal Highway Administration.
References
Chehab, G., Kim, Y. R., Schapery, R. A., Witczack, M., and Bonaquist, R. (2002). “Time-temperature superposition principle for asphalt concrete mixtures with growing damage in tension state.” Asphalt Paving Technol., 71, 559–593.
Daniel, J. S., and Kim, Y. R. (2002). “Development of a simplified fatigue test and analysis procedure using a viscoelastic continuum damage model.” J. Assoc. Asphalt Paving Technol., 71, 619–650.
Ferry, J. D. (1961). Viscoelastic properties of polymers, Wiley, New York.
Ha, K., and Schapery, R. A. (1998). “A three dimensional viscoelastic constitutive model for particulate composites with growing damage and its experimental validation.” Int. J. Solids Struct., 35(26), 3497–3517.
Hou, E. T., Underwood, B. S., and Kim, Y. R. (2010). “Fatigue performance prediction of North Carolina mixtures using the simplified viscoelastic continuum damage model.” J. Assoc. Asphalt Paving Technol., 79, 35–80.
Kim, Y. R., and Chehab, G. (2004). “Development of viscoelastoplastic continuum damage model for asphalt-aggregate mixtures.” National Cooperative Highway Research Program, Washington, DC.
Kim, Y. R., Guddati, M. N., Underwood, B. S., Yun, T. Y., Subramanian, V., and Heidari, A. H. (2005). “Characterization of ALF mixtures using the viscoelastoplastic continuum damage model: Final report.” Federal Highway Administration, Washington, DC.
Kim, Y. R., Guddati, M. N., Underwood, B. S., Yun, T. Y., Subramanian, V., and Savadatti, S. (2009). “Development of a multiaxial viscoelastoplastic continuum damage model for asphalt mixtures.” Final Report: No. FHWA-HRT-08-073, Federal Highway Administration, Washington, DC.
Kim, Y. R., and Little, D. N. (1990). “One-dimensional constitutive modeling of asphalt concrete.” J. Eng. Mech., 116(4), 751–772.
Lee, H. J., and Kim, Y. R. (1998). “A uniaxial viscoelastic constitutive model for asphalt concrete under cyclic loading.” J. Eng. Mech., 124(1), 32–40.
Park, S. W., and Schapery, R. A. (1999). “Methods of interconversion between linear viscoelastic material functions. Part I—A numerical method based on Prony series.” Int. J. Solids Struct., 36, 1653–1675.
Pellinen, T. (2001). “Investigation of the use of dynamic modulus as an indicator of hot-mix asphalt performance.” Ph.D. thesis, Arizona State Univ., Tempe, AZ.
Rao Tangella, S. C., Craus, J., Deacon, J. A., and Monismith, C. L. (1990). “Summary report on fatigue response of asphalt mixtures.” Rep. TM-UCB-A-003A-89-3, Strategic Highway Research Program. National Research Council, Washington, DC.
Schapery, R. A. (1984). “Correspondence principles and a generalized -integral for large deformation and fracture analysis of viscoelastic media.” Int. J. Fract., 25, 195–223.
Schapery, R. A. (1987). “Deformation and fracture characterization of inelastic composite materials using potentials.” Polym. Eng. Sci., 27(1), 63–76.
Schapery, R. A. (1999). “Nonlinear viscoelastic and viscoplastic constitutive equations with growing damage.” Int. J. Fract., 97, 33–66.
Underwood, B. S., Kim, Y. R., and Guddati, M. N. (2006). “Characterization and performance prediction of alf mixtures using a viscoelastoplastic continuum damage model.” Asphalt Paving Technol., 75, 577–636.
Underwood, B. S., Kim, Y. R., and Guddati, M. N. (2010). “Improved calculation method of damage parameter in viscoelastic continuum damage model.” Int. J. Pavement Eng. (in press).
Uzan, J., Perl, M., and Sides, A. (1985). “Viscoelastoplastic model for predicting performance of asphalt mixtures.” Transportation Research Record 1043, Transportation Research Board, Washington, DC, 78–79.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 137 • Issue 11 • November 2011
Pages: 732 - 739
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Mar 1, 2010
Accepted: Jun 2, 2011
Published online: Jun 4, 2011
Published in print: Nov 1, 2011
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.