Technical Papers
Nov 29, 2016

Mechanistic Modeling to Evaluate Structural Performance of Bituminous Pavements with Inelastic Deformation and Fatigue Damage of Mixtures

Publication: Journal of Engineering Mechanics
Volume 143, Issue 4

Abstract

This study modeled structural performance of bituminous pavements with inelastic deformation and fatigue damage. Two major distresses, namely rutting and fatigue damage, of typical bituminous pavements were modeled by extending the pavement analysis using nonlinear damage approach (PANDA), a recently-developed finite-element approach to model damage-associated pavement performance, by incorporating main features in the PANDA with a fracture mechanics approach so as to improve the capability in predicting rate-dependent localized behavior of bituminous mixtures in pavement structures. More specifically, the Schapery’s nonlinear viscoelasticity and Perzyna-type viscoplasticity featured in the PANDA were used to characterize recoverable and irrecoverable deformation of bituminous paving mixtures, and damage of bituminous mixtures due to multiple microscale and macroscale cracks was characterized using the cohesive zone fracture law, which was incorporated with a relevant fracture test such as a semicircular bend test. To apply the modeling approach to real structures, laboratory tests with two typical bituminous mixtures were conducted to characterize the material properties necessary for the model. Then, model simulation results presenting the two primary structural damage modes, rutting and fatigue cracking, were compared to actual monitored field performance. Simulation results demonstrated that the model can successfully account for the effect of key design variables such as paving materials, structural layer configuration, loading condition, and environmental conditions (such as temperature) on the pavement performance with damage. This implies the potential power and efficacy of this mechanistic modeling approach for the analysis and design of bituminous materials and pavement structures.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The authors gratefully acknowledge the financial support received from the Nebraska Department of Roads (NDOR) and the Federal Highway Administration (FHWA)/Texas A&M Research Foundation (Asphalt Research Consortium) under Grant (DTFH61-07-H-00009).

References

AASHTO. (2011). “Standard method of test for determining the dynamic modulus and flow number for hot mix asphalt (HMA) using the asphalt mixture performance tester (AMPT).”, Washington, DC.
ABAQUS 6.10 [Computer software]. Habbit, Karlsson and Sorensen, Providence, RI.
Abu Al-Rub, R. K., Darabi, M. K., Huang, C.-W., Masad, E. A., and Little, D. N. (2012). “Comparing finite element and constitutive modelling techniques for predicting rutting of asphalt pavements.” Int. J. Pavement Eng., 13(4), 322–338.
Abu Al-Rub, R. K., Darabi, M. K., Kim, S.-M., Little, D. N., and Glover, C. J. (2013). “Mechanistic-based constitutive modeling of oxidative aging in aging-susceptible materials and its effect on the damage potential of asphalt concrete.” Constr. Build. Mater., 41, 439–454.
Abu Al-Rub, R. K., Darabi, M. K., Little, D. N., and Masad, E. A. (2010). “A micro-damage healing model that improves prediction of fatigue life in asphalt mixes.” Int. J. Eng. Sci., 48(11), 966–990.
Abu Al-Rub, R. K., Darabi, M. K., You, T., Masad, E. A., and Little, D. N. (2011a). “A unified continuum damage mechanics model for predicting the mechanical response of asphalt mixtures and pavements.” Int. J. Roads Airports, 1(1), 68–84.
Abu Al-Rub, R. K., and Voyiadjis, G. (2003). “On the coupling of anisotropic damage and plasticity models for ductile materials.” Int. J. Solids Struct., 40(11), 2611–2643.
Abu Al-Rub, R. K., You, T., Masad, E. A., and Little, D. N. (2011b). “Mesomechanical modeling of the thermo-viscoelastic, thermo-viscoplastic, and thermo-viscodamage response of asphalt concrete.” Int. J. Adv. Eng. Sci. Appl. Math., 3(1–4), 14–33.
Ahmed, S., Dave, E. V., Buttlar, W. G., and Exline, M. K. (2013). “Cracking resistance of thin-bonded overlays using fracture test, numerical simulations and early field performance.” Int. J. Pavement Eng., 14(6), 540–552.
Al-Qadi, I. L., et al. (2015). “Testing protocols to ensure performance of high asphalt binder replacement mixes using RAP and RAS.” Illinois Center for Transportation/Illinois Dept. of Transportation, Springfield, IL.
Al-Qadi, I. L., and Wang, H. (2009). “Evaluation of pavement damage due to new tire designs.” Illinois Center for Transportation (ICT), Springfield, IL.
Aragão, F., and Kim, Y.-R. (2012). “Mode I fracture characterization of bituminous paving mixtures at intermediate service temperatures.” Exp. Mech., 52(9), 1423–1434.
Aragão, F. T. S., Kim, Y.-R., Lee, J., and Allen, D. H. (2011). “Micromechanical model for heterogeneous asphalt concrete mixtures subjected to fracture failure.” J. Mater. Civ. Eng., 30–38.
Baek, J., and Al-Qadi, I. (2009). “Reflective cracking: Modeling fracture behavior of hot-mix asphalt overlays with interlayer systems.” Asphalt Paving Technol. Proc., 28, 789.
Ban, H., Im, S., and Kim, Y.-R. (2013). “Nonlinear viscoelastic approach to model damage-associated performance behavior of asphaltic mixture and pavement structure.” Can. J. Civ. Eng., 40(4), 313–323.
Collop, A., Scarpas, A., Kasbergen, C., and de Bondt, A. (2003). “Development and finite element implementation of stress-dependent elastoviscoplastic constitutive model with damage for asphalt.” Transp. Res. Rec., 1832, 96–104.
Darabi, M. K., Abu Al-Rub, R. K., Masad, E. A., Huang, C. W., and Little, D. N. (2011). “A thermo-viscoelastic-viscoplastic-viscodamage constitutive model for asphaltic materials.” Int. J. Solids Struct., 48(1), 191–207.
Darabi, M. K., Abu Al-Rub, R. K., Masad, E. A., and Little, D. N. (2012a). “A thermodynamic framework for constitutive modeling of time- and rate-dependent materials. Part II: Numerical aspects and application to asphalt concrete.” Int. J. Plast., 35, 67–99.
Darabi, M. K., Al-Rub, R. K. A., Masad, E. A., Huang, C.-W., and Little, D. N. (2012b). “A modified viscoplastic model to predict the permanent deformation of asphaltic materials under cyclic-compression loading at high temperatures.” Int. J. Plast., 35, 100–134.
Darabi, M. K., Al-Rub, R. K. A., Masad, E. A., and Little, D. N. (2012c). “Thermodynamic-based model for coupling temperature-dependent viscoelastic, viscoplastic, and viscodamage constitutive behavior of asphalt mixtures.” Int. J. Numer. Anal. Methods Geomech., 36(7), 817–854.
Darabi, M. K., Al-Rub, R. K. A., Masad, E. A., and Little, D. N. (2013). “Constitutive modeling of fatigue damage response of asphalt concrete materials with consideration of micro-damage healing.” Int. J. Solids Struct., 50(19), 2901–2913.
Dave, E. V., and Buttlar, W. G. (2010). “Thermal reflective cracking of asphalt concrete overlays.” Int. J. Pavement Eng., 11(6), 477–488.
Elseifi, M. A., Al-Qadi, I. L., and Yoo, P. J. (2006). “Viscoelastic modeling and field validation of flexible pavements.” J. Eng. Mech., 172–178.
Huang, B., Shu, X., and Zuo, G. (2013). “Using notched semi circular bending fatigue test to characterize fracture resistance of asphalt mixtures.” Eng. Fract. Mech., 109, 78–88.
Huang, C. W., Al-Rub, R. K. A., Masad, E. A., Little, D. N., and Airey, G. D. (2011). “Numerical implementation and validation of a nonlinear viscoelastic and viscoplastic model for asphalt mixes.” Int. J. Pavement Eng., 12(4), 433–447.
Huang, C.-W., Masad, E., Muliana, A. H., and Bahia, H. (2007). “Nonlinearly viscoelastic analysis of asphalt mixes subjected to shear loading.” Mech. Time-Depend. Mater., 11(2), 91–110.
Im, S., Kim, Y.-R., and Ban, H. (2010). “Layer moduli of nebraska pavements for the new mechanistic-empirical pavement design guide (MEPDG).”, Dept. of Civil Engineering, Univ. of Nebraska-Lincoln, Lincoln, NE.
Im, S., Kim, Y.-R., and Ban, H. (2013). “Rate and temperature dependent fracture characteristics of asphaltic paving mixtures.” J. Test. Eval., 41(2), 257–268.
Im, S., You, T., Ban, H., and Kim, Y.-R. (2015). “Multiscale testing-analysis of asphaltic materials considering viscoelastic and viscoplastic deformation.” Int. J. Pavement Eng., 1–15.
Kachanov, L. M. (1958). “On time to rupture in creep conditions.” Izviestia Akadamii Nauk SSSR, Otdelenie Tekhnicheskikh Nauk, 8, 26–31 (in Russian).
Kim, J., and West, R. C. (2010). “Application of the viscoelastic continuum damage model to the indirect tension test at a single temperature.” J. Eng. Mech., 496–505.
Kim, Y. R., Daniel, J. S., and Wen, H. (2002). “Fatigue performance evaluation of WesTrack asphalt mixtures using viscoelastic continuum damage approach.”, Washington, DC.
Kim, Y.-R., Allen, D. H., and Little, D. N. (2006). “Computational model to predict fatigue damage behavior of asphalt mixtures under cyclic loading.” Transp. Res. Rec., 1970, 196–206.
Kim, Y.-R., Aragao, F. T., Allen, D. H., and Little, D. N. (2010a). “Damage modeling of bituminous mixtures considering mixture microstructure, viscoelasticity, and cohesive zone fracture.” Can. J. Civ. Eng., 37(8), 1125–1136.
Kim, Y.-R., and Aragão, F. T. S. (2013). “Microstructure modeling of rate-dependent fracture behavior in bituminous paving mixtures.” Finite Elem. Anal. Des., 63, 23–32.
Kim, Y.-R., Ban, H., and Im, S. (2010b). “Impact of truck loading on design and analysis of asphaltic pavement structures.” Univ. of Nebraska-Lincoln, Nebraska Dept. of Roads, Lincoln, NE.
Kim, Y.-R., Im, S., and Ban, H. (2012). “Research on roadway performance and distress at low temperature.”, Lincoln, NE.
Kutay, M. E., Gibson, N., and Youtcheff, J. (2008). “Conventional and viscoelastic continuum damage (VECD)-based fatigue analysis of polymer modified asphalt pavements (with discussion).” J. Assoc. Asphalt Paving Technol., 77, 395–434.
Lai, J., and Bakker, A. (1996). “3-D Schapery representation for non-linear viscoelasticity and finite element implementation.” Comput. Mech., 18(3), 182–191.
Lee, H.-J., Daniel, J. S., and Kim, Y. R. (2000). “Continuum damage mechanics-based fatigue model of asphalt concrete.” J. Mater. Civ. Eng., 105–112.
Lemaitre, J., and Chaboche, J. (1990). Mechanics of solid materials, Cambridge University Press, Cambridge, U.K.
Li, X. J., and Marasteanu, M. O. (2010). “Using semi circular bending test to evaluate low temperature fracture resistance for asphalt concrete.” Exp. Mech., 50(7), 867–876.
Masad, E., Dessouky, S., and Little, D. (2007). “Development of an elastoviscoplastic microstructural-based continuum model to predict permanent deformation in hot mix asphalt.” Int. J. Geomech., 119–130.
Masad, E., Tashman, L., Little, D., and Zbib, H. (2005). “Viscoplastic modeling of asphalt mixes with the effects of anisotropy, damage and aggregate characteristics.” Mech. Mater., 37(12), 1242–1256.
NCHRP (National Cooperative Highway Research Program). (2004). “Guide for the mechanistic-empirical design for new and rehabilitated pavement structures.” 1-37A, Washington, DC.
NDOR (Nebraska Department of Roads). (2013). NDOR pavement design manual, Lincoln, NE.
Park, S., and Schapery, R. (1999). “Methods of interconversion between linear viscoelastic material functions. Part I: A numerical method based on Prony series.” Int. J. Solids Struct., 36(11), 1653–1675.
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 bituminous mixture under repeated loading.” Transp. Res. Rec., 911, 20–27.
Perzyna, P. (1971). “Thermodynamic theory of viscoplasticity.” Adv. Appl. Mech., 11, 313–354.
Rahmani, E., Darabi, M. K., Abu Al-Rub, R. K., Kassem, E., Masad, E. A., and Little, D. N. (2013). “Effect of confinement pressure on the nonlinear-viscoelastic response of asphalt concrete at high temperatures.” Constr. Build. Mater., 47, 779–788.
Rushing, J. F., Darabi, M. K., Rahmani, E., and Little, D. N. (2015). “Comparing rutting of airfield pavements to simulations using pavement analysis using nonlinear damage approach (PANDA).” Int. J. Pavement Eng., 1–22, in press.
Schapery, R. A. (1969). “On the characterization of nonlinear viscoelastic materials.” Polym. Eng. Sci., 9(4), 295–310.
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, 111–119.
Shakiba, M., Al-Rub, R. K. A., Darabi, M. K., You, T., Masad, E. A., and Little, D. N. (2013). “Continuum coupled moisture-mechanical damage model for asphalt concrete.” Transp. Res. Rec., 2372(1), 72–82.
Sides, A., Uzan, J., and Perl, M. (1985). “A comprehensive viscoelasto-plastic characterization of sand-asphalt compressive and tensile cyclic loading.” J. Test. Eval., 13(1), 49–59.
Soares, R. F., Allen, D. H., Kim, Y.-R., Berthelot, C., Soares, J. B., and Rentschler, M. E. (2008). “A computational model for predicting the effect of tire configuration on asphaltic pavement life.” Road Mater. Pavement Des., 9(2), 271–289.
Underwood, B., Baek, C., and Kim, Y. (2012). “Simplified viscoelastic continuum damage model as platform for asphalt concrete fatigue analysis.” Transp. Res. Rec., 2296, 36–45.
Underwood, B. S., Kim, Y. R., and Guddati, M. N. (2006). “Characterization and performance prediction of ALF mixtures using a viscoelastoplastic continuum damage model (with discussion).” J. Assoc. 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., 11(6), 459–476.
Wu, Z., Mohammad, L. N., Wang, L., and Mull, M. A. (2005). “Fracture resistance characterization of superpave mixtures using the semi-circular bending test.” J. ASTM Int., 2(3), 1–15.
Yoo, P., Al-Qadi, I. L., Elseifi, M., and Janajreh, I. (2006). “Flexible pavement responses to different loading amplitudes considering layer interface condition and lateral shear forces.” Int. J. Pavement Eng., 7(1), 73–86.
You, T., Abu Al-Rub, R., Darabi, M., Masad, E., and Little, D. (2012). “Three-dimensional microstructural modeling of asphalt concrete using a unified viscoelastic-viscoplastic–viscodamage model.” Constr. Build. Mater., 28(1), 531–548.
You, T., Abu Al-Rub, R. K., Masad, E. A., and Little, D. N. (2013). “Three-dimensional microstructural modeling of asphalt concrete by use of X-ray computed tomography.” Transp. Res. Rec., 2373(1), 63–70.
You, T., Masad, E. A., Al-Rub, R. K. A., Kassem, E., and Little, D. N. (2014). “Calibration and validation of a comprehensive constitutive model for asphalt mixtures.” Transp. Res. Rec., 2447(1), 13–22.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 143Issue 4April 2017

History

Received: Apr 19, 2016
Accepted: Sep 16, 2016
Published online: Nov 29, 2016
Published in print: Apr 1, 2017
Discussion open until: Apr 29, 2017

Permissions

Request permissions for this article.

Authors

Affiliations

Taesun You
Postdoctoral Research Associate, Dept. of Civil Engineering, Univ. of Nebraska, 362 WHIT, 2200 Vine St., Lincoln, NE 68583-0856.
Soohyok Im
Assistant Transportation Researcher, Texas A&M Transportation Institute, 3135 TAMU, College Station, TX 77843.
Yong-Rak Kim, M.ASCE [email protected]
Professor, Dept. of Civil Engineering, Univ. of Nebraska, 362N WHIT, 2200 Vine St., Lincoln, NE 68583-0856 (corresponding author). E-mail: [email protected]
Dallas N. Little, F.ASCE
Professor, Dept. of Civil Engineering, Texas A&M Univ., 3135 TAMU, College Station, TX 77843.

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share