Computational Constitutive Model for Predicting Nonlinear Viscoelastic Damage and Fracture Failure of Asphalt Concrete Mixtures
Publication: International Journal of Geomechanics
Volume 7, Issue 2
Abstract
A computational constitutive model was developed to predict damage and fracture failure of asphalt concrete mixtures. Complex heterogeneity and inelastic mechanical behavior are addressed by the model by using finite-element methods and elastic–viscoelastic constitutive relations. Damage evolution due to progressive cracking is represented by randomly oriented interface fracture, which is governed by a newly developed nonlinear viscoelastic cohesive zone model. Computational simulations demonstrate that damage evolution and failure of asphalt concrete mixtures is dependent on the mechanical properties of the mixture. This approach is suitable for the relative evaluation of asphalt concrete mixtures by simply employing material properties and fracture properties of mixture components rather than by performing expensive laboratory tests recursively, which are typically required for continuum damage mechanics modeling.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The writers would like to acknowledge and are grateful for the asphalt concrete testing data provided by Dr. H. Lee at Sejong University in Korea.
References
Allen, D. H., and Searcy, C. R. (2000). “Numerical aspects of a micromechanical model of a cohesive zone.” J. Reinf. Plast. Compos., 19(3), 240–248.
Allen, D. H., and Searcy, C. R. (2001a). “A micromechanical model for a viscoelastic cohesive zone.” Int. J. Fract., 107(2), 159–176.
Allen, D. H., and Searcy, C. R. (2001b). “A micromechanically based model for predicting dynamic damage evolution in ductile polymers.” Mech. Mater., 33(3), 177–184.
Barenblatt, G. I. (1962). “The mathematical theory of equilibrium cracks in brittle fracture.” Adv. Appl. Mech., 7, 55–129.
Birgisson, B., Sangpetngam, B., and Roque, R. (2002). “Predicting viscoelastic response and crack growth in asphalt mixtures with the boundary element method.” Transportation Research Record. 1789, Transportation Research Board, Washington, D.C., 129–135.
Chehab, G., Kim, Y. R., Schapery, R. A., Witczak, M. W., and Bonaquist, R. (2003). “Characterization of asphalt concrete in uniaxial tension using a viscoelastoplastic continuum damage model.” Asph. Paving Technol., 72, 315–355.
Cheng, D., Little, D. N., Lytton, R. L., and Holste, J. C. (2003). “Moisture damage evaluation of asphalt mixtures by considering both moisture diffusion and repeated-load conditions.” Transportation Research Record. 1832, Transportation Research Board, Washington, D.C., 42–49.
Christensen, R. M. (1982). Theory of viscoelasticity: An introduction, Academic, New York.
Collop, A. C., Scarpas, A., Kasbergen, C., and Bondt, A. D. (2003). “Development and finite-element implementation of stress-dependent elastoviscoplastic constitutive model with damage for asphalt.” Transportation Research Record. 1832, Transportation Research Board, Washington, D.C., 96–104.
Daniel, J. S., and Kim, Y. R. (2002). “Development of a simplified fatigue test and analysis procedure using a viscoelastic, continuum damage model.” Asph. Paving Technol., 71, 619–650.
Dugdale, D. S. (1960). “Yielding of steel sheets containing slits.” J. Mech. Phys. Solids, 8, 100–104.
Gibson, N. H., Schwartz, C. W., Schapery, R. A., and Witczak, M. W. (2003). “Viscoelastic, viscoplastic, and damage modeling of asphalt concrete in unconfined compression.” Transportation Research Record. 1860, Transportation Research Board, Washington, D.C., 3–15.
Guddati, M. N., Feng, Z., and Kim, Y. R. (2002). “Towards a micromechanics-based procedure to characterize fatigue performance of asphalt concrete.” Transportation Research Record. 1789, Transportation Research Board, Washington, D.C., 121–128.
Kim, Y., Little, D. N., and Lytton, R. L. (2002). “Use of dynamic mechanical analysis (DMA) to evaluate the fatigue and healing potential of asphalt binders in sand asphalt mixtures.” Asph. Paving Technol., 71, 176–206.
Kim, Y., Little, D. N., and Lytton, R. L. (2003). “Fatigue and healing characterization of asphalt mixtures.” J. Mater. Civ. Eng., 15(1), 75–83.
Kim, Y., Allen, D. H., and Little, D. N. (2005). “Damage-induced modeling of asphalt mixtures through computational micromechanics and cohesive zone fracture.” J. Mater. Civ. Eng., 17(5), 477–484.
Lee, H. J., Daniel, J. S., and Kim, Y. R. (2000). “Continuum damage mechanics-based fatigue model of asphalt concrete.” J. Mater. Civ. Eng., 12(2), 105–112.
Lee, H. J., Kim, Y. R., and Lee, S. W. (2003). “Prediction of asphalt mix fatigue life with viscoelastic material properties.” Transportation Research Record. 1832, Transportation Research Board, Washington, D.C., 139–147.
Lu, Y., and Wright, P. (1998). “Numerical approach of viscoelastoplastic analysis for asphalt mixtures.” Comput. Struct., 69(2), 139–147.
Masad, E., Tashman, L., and Little, D. N. (2002). “A continuum damage framework to validate a unified method of aggregate classification based on image analysis.” Proc., 10th Annual ICAR Symp., Baltimore.
Needleman, A. (1987). “A continuum model for void nucleation by inclusion debonding.” J. Appl. Mech., 54(3), 525–531.
Papagiannakis, A. T., Abbas, A., and Masad, E. (2002). “Micromechanical analysis of viscoelastic properties of asphalt concretes.” Transportation Research Record. 1789, Transportation Research Board, Washington, D.C., 113–120.
Park, D. (2004). “Characterization of permanent deformation in asphalt concrete using a laboratory method and an elastic–viscoplastic model.” Ph.D. 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(4), 241–255.
Perl, M., Uzan, J., and Sides, A. (1983). “Visco–elasto–plastic constitutive law for a bituminous mixture under repeated loading.” Transportation Research Record. 911, Transportation Research Board, Washington, D.C., 20–27.
Sadd, M. H., Dai, Q., Parameswaran, V., and Shukla, A. (2003). “Simulation of asphalt materials using a finite-element micromechanical model with damage mechanics.” Transportation Research Record. 1832, Transportation Research Board, Washington, D.C., 86–95.
Seibi, A. C., Sharma, M. G., Ali, G. A., and Kenis, W. J. (2001). “Constitutive relations for asphalt concrete under high rates of loading.” Transportation Research Record. 1767, Transportation Research Board, Washington, D.C., 111–119.
Soares, B. J., Freitas, F., and Allen, D. H. (2003). “Crack modeling of asphaltic mixtures considering heterogeneity of the material.” Transportation Research Record. 1832, Transportation Research Board, Washington, D.C., 113–120.
Tashman, L., Masad, E., Little, D. N., and Lytton, R. L. (2004). “Damage evolution in triaxial compression tests of HMA at high temperatures.” Asphalt Paving Technol., 73, 53–87.
Tvergaard, V. (1990). “Effect of fiber debonding in a whisker-reinforced metal.” Mater. Sci. Eng., A, 125(2), 203–213.
Uzan, J. (1996). “Asphalt concrete characterization for pavement performance prediction.” Asph. Paving Technol., 65, 573–607.
Williams, J. J. (2001). “Two experiments for measuring specific viscoelastic cohesive zone parameters.” Master’s thesis, Texas A&M Univ., College Station, Tex.
Zocher, M. A., Allen, D. H., and Groves, S. E. (1997). “A three-dimensional finite-element formulation for thermoviscoelastic orthotropic media.” Int. J. Numer. Methods Eng., 40(12), 2267–2288.
Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 7 • Issue 2 • March 2007
Pages: 102 - 110
Copyright
© 2007 ASCE.
History
Received: Jun 6, 2006
Accepted: Jun 9, 2006
Published online: Mar 1, 2007
Published in print: Mar 2007
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.