Technical Papers
Nov 20, 2018

Predicting Rutting Performance of Flexible Airfield Pavements Using a Coupled Viscoelastic-Viscoplastic-Cap Constitutive Relationship

Publication: Journal of Engineering Mechanics
Volume 145, Issue 2

Abstract

Rutting performance of airfield pavements is predicted using mechanistic-based constitutive relationships for both asphalt and granular layers. Pavement analysis using nonlinear damage approach-airfield pavements (PANDA-AP) is used that encompasses a coupled viscoelastic–viscoplastic constitutive relationship to model the rutting distress in the asphalt layer and a modified extended Drucker-Prager-Cap (D-P-Cap) is used to predict permanent deformation induced in granular layers due to aircraft traffic. The D-P-Cap model captures the permanent deformation due to both shearing and densification of granular layers. Experimental test results from resilient modulus, cyclic triaxial, dynamic modulus, and flow number tests are used to fully calibrate the constitutive relationships. The calibrated constitutive relationship is then validated against independent lab experiments. The calibrated model is used to predict the performance of airfield pavement sections tested at the National Airfield Pavement Test Facility (NAPTF) of the Federal Administration Aviation (FAA). It is shown that the presented mechanistic-based constitutive relationships can be effectively used to predict the rutting performance of airfield pavements when subjected to high aircraft tire pressure.

Get full access to this article

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

Acknowledgments

The authors acknowledge funding by the Federal Aviation Administration through Grant No. 15-G-011.

References

AASHTO. 2007. Standard method of test for determining the resilient modulus of soils and aggregate materials. AASHTO T307-99. Washington, DC: AASHTO.
Abu Al-Rub, R. K., and M. K. Darabi. 2012. “A thermodynamic framework for constitutive modeling of time- and rate-dependent materials. Part I: Theory.” Int. J. Plast. 34: 61–92. https://doi.org/10.1016/j.ijplas.2012.01.002.
Abu Al-Rub, R. K., M. K. Darabi, S. M. Kim, D. N. Little, and C. J. Glover. 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. https://doi.org/10.1016/j.conbuildmat.2012.12.044.
Abu Al-Rub, R. K., M. K. Darabi, D. N. Little, and E. A. Masad. 2010. “A micro-damage healing model that improves prediction of fatigue life in asphalt mixes.” Int. J. Eng. Sci. 48 (11): 966–990. https://doi.org/10.1016/j.ijengsci.2010.09.016.
Adu-Osei, A., D. N. Little, and R. N. Lytton. 2001. Structural characteristics of unbound aggregate bases to meet AASHTO 2002 design requirements: Interim report. College Station, TX: Texas A&M Transportation Institute.
Al-Qadi, I. L., H. Wang, and E. Tutumluer. 2010. “Dynamic analysis of thin asphalt pavements by using cross-anisotropic stress-dependent properties for granular layer.” Transp. Res. Rec. 2154 (1): 156–163. https://doi.org/10.3141/2154-16.
Barksdale, R. D. 1972. “Laboratory evaluation of rutting in base course materials.” In Proc., 3rd Int. Conf. on the Structural Design of Asphalt Pavements. London: Grosvenor House.
Bazzaz, M., M. K. Darabi, D. N. Little, and N. Garg. 2018. “A straightforward procedure to characterize nonlinear viscoelastic respinse of asphalt concrete at high temperatures.” Transp. Res. Rec. https://doi.org/10.1177/0361198118782033, in press.
Bonaquist, R., and M. Witczak. 1996. “Plasticity modeling applied to the permanent deformation response of granular materials in flexible pavement systems.” Transp. Res. Rec. 1540 (1): 7–14. https://doi.org/10.1177/0361198196154000102.
Brown, S. F., and A. F. L. Hyde. 1975. “Significance of cyclic confining stress in repeated-load triaxial testing of granular material.” Transp. Res. Rec. 537: 49–58.
Cardoso, S. H., and M. W. Witczak. 1991. “Permanent deformation for flexible airfield pavement design.” Transp. Res. Rec. 1307: 111–121.
Chazallon, C., P. Hornych, and S. Mouhoubi. 2006. “Elastoplastic model for the long-term behavior modeling of unbound granular materials in flexible pavements.” Int. J. Geomech. 6 (4): 279–289. https://doi.org/10.1061/(ASCE)1532-3641(2006)6:4(279).
Chehab, G. R., and Y. R. Kim. 2005. “Viscoelastoplastic continuum damage model application to thermal cracking of asphalt concrete.” J. Mater. Civ. Eng. 17 (4): 384–392. https://doi.org/10.1061/(ASCE)0899-1561(2005)17:4(384).
Chen, C., L. Ge, and J. Zhang. 2010. “Modeling permanent deformation of unbound granular materials under repeated loads.” Int. J. Geomech. 10 (6): 236–241. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000025.
Dai, Q., M. H. Sadd, and Z. You. 2006. “A micromechanical finite element model for linear and damage-coupled viscoelastic behaviour of asphalt mixture.” Int. J. Numer. Anal. Methods Geomech. 30 (11): 1135–1158. https://doi.org/10.1002/nag.520.
Darabi, M. K., R. K. Abu Al-Rub, E. A. Masad, C. W. Huang, and D. N. Little. 2012a. “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. https://doi.org/10.1016/j.ijplas.2012.03.001.
Darabi, M. K., R. K. Abu Al-Rub, E. A. Masad, C.-W. Huang, and D. N. Little. 2011. “A thermo-viscoelastic-viscoplastic–viscodamage constitutive model for asphaltic materials.” Int. J. Solids Struct. 48 (1): 191–207. https://doi.org/10.1016/j.ijsolstr.2010.09.019.
Darabi, M. K., R. K. Abu Al-Rub, E. A. Masad, and D. N. Little. 2012b. “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. https://doi.org/10.1016/j.ijplas.2012.02.003.
Darabi, M. K., R. K. Abu Al-Rub, E. A. Masad, and D. N. Little. 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. https://doi.org/10.1002/nag.1030.
Darabi, M. K., R. K. Abu Al-Rub, E. A. Masad, and D. N. Little. 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. https://doi.org/10.1016/j.ijsolstr.2013.05.007.
Desai, C. S. 2007. “Unified DSC constitutive model for pavement materials with numerical implementation.” Int. J. Geomech. 7 (2): 83–101. https://doi.org/10.1061/(ASCE)1532-3641(2007)7:2(83).
Desai, C. S., S. Somasundaram, and G. Frantziskonis. 1986. “A hierarchical approach for constitutive modelling of geologic materials.” Int. J. Numer. Anal. Methods Geomech. 10 (3): 225–257. https://doi.org/10.1002/nag.1610100302.
Desai, C. S., and J. Toth. 1996. “Disturbed state constitutive modeling based on stress-strain and nondestructive behavior.” Int. J. Solids Struct. 33 (11): 1619–1650. https://doi.org/10.1016/0020-7683(95)00115-8.
Drucker, D. C., and W. Prager. 1952. “Soil mechanics and plastic analysis or limit design.” Q. Appl. Math. 10 (2): 157–165. https://doi.org/10.1090/qam/48291.
FAA (Federal Aviation Administration). 2009. Standards for specifying construction of airports. Washington, DC: US Dept. of Transportation.
Garg, N. 2003. “Permanent deformation behavior of the granular layers tested at the FAA’s national airport pavement test facility.” In Proc., 82nd Annual Meeting of the Transportation Research Board, Session-556. Washington, DC: Transportation Research Board.
Gibson, N., Z. Qi, A. Shenoy, G. Al-Khateeb, E. Kutay, A. Andriescu, K. Stuart, J. Youtcheff, and T. Harman. 2012. Performance testing for superpave and structural validation. Washington, DC: Office of Infrastructure Research and Development.
Gibson, N., C. Schwartz, R. Schapery, and M. Witczak. 2003. “Viscoelastic, viscoplastic, and damage modeling of asphalt concrete in unconfined compression.” Transp. Res. Rec. 1860: 3–15. https://doi.org/10.3141/1860-01.
Hayhoe, G. F., and N. Garg. 2001. Material properties database for the test pavements at the National airport pavement test facility (NAPTF). FAA Airport Technology Research and Development Branch.
Huang, C. W., R. K. Abu Al-Rub, E. A. Masad, and D. N. Little. 2011. “Three-dimensional simulations of asphalt pavement permanent deformation using a nonlinear viscoelastic and viscoplastic model.” J. Mater. Civ. Eng. 23 (1): 56–68. https://doi.org/10.1061/(ASCE)MT.1943-5533.0000022.
Huang, C.-W., R. K. Abu Al-Rub, E. A. Masad, and D. N. Little. 2010. “Three-dimensional simulations of asphalt pavement permanent deformation using a nonlinear viscoelastic and viscoplastic model.” J. Mater. Civ. Eng. 23 (1): 56–68. https://doi.org/10.1061/(ASCE)MT.1943-5533.0000022.
Huang, C.-W., E. Masad, A. H. Muliana, and H. Bahia. 2007. “Nonlinearly viscoelastic analysis of asphalt mixes subjected to shear loading.” Mech. Time-Depend. Mater. 11 (2): 91–110. https://doi.org/10.1007/s11043-007-9034-5.
Huurman, M. 1997. “Permanent deformation in concrete block pavements.” Ph.D. thesis, Delft Univ. of Technology.
Khedr, S. 1985. “Deformation characteristics of granular base course in flexible pavements.” Transp. Res. Rec. 1043: 131–138.
Kim, I. T. 2005. “Permanent deformation behavior of airport flexible pavement base and subbase courses.” Ph.D. dissertation, Univ. of Illinois at Urbana-Champaign.
Kim, I. T., and E. Tutumluer. 2006. “Field validation of airport pavement granular layer rutting predictions.” Transp. Res. Rec. 1952: 48–57. https://doi.org/10.1177/0361198106195200106.
Kim, M., and E. Tutumluer. 2008. “Multiple wheel-load interaction in flexible pavements.” Transp. Res. Rec. 2068 (1): 49–60. https://doi.org/10.3141/2068-06.
Lashine, A., S. Brown, and P. Pell. 1971. Dynamic properties of soils. Nottingham, UK: Koninklijke/Shell Laboratorium.
Lee, H.-J., and Y. R. Kim. 1998. “Viscoelastic constitutive model for asphalt concrete under cyclic loading.” J. Eng. Mech. 124 (1): 32–40. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:1(32).
Lekarp, F., and A. Dawson. 1998. “Modelling permanent deformation behaviour of unbound granular materials.” Constr. Build. Mater. 12 (1): 9–18. https://doi.org/10.1016/S0950-0618(97)00078-0.
Lekarp, F., U. Isacsson, and A. Dawson. 2000. “State of the art. I: Resilient response of unbound aggregates.” J. Transp. Eng. 126 (1): 66–75. https://doi.org/10.1061/(ASCE)0733-947X(2000)126:1(66).
Masad, E., C.-W. Huang, G. Airey, and A. Muliana. 2008. “Nonlinear viscoelastic analysis of unaged and aged asphalt binders.” Constr. Build. Mater. 22 (11): 2170–2179. https://doi.org/10.1016/j.conbuildmat.2007.08.012.
Masad, E., L. Tashman, D. Little, and H. Zbib. 2005. “Viscoplastic modeling of asphalt mixes with the effects of anisotropy, damage and aggregate characteristics.” Mech. Mater. 37 (12): 1242–1256. https://doi.org/10.1016/j.mechmat.2005.06.003.
Monismith, C. L., N. Ogawa, and C. Freeme. 1975. “Permanent deformation characteristics of subgrade soils due to repeated loading.” Transp. Res. Rec. 537: 1–17.
Motamed, A., A. Bhasin, and K. M. Liechti. 2013. “Constitutive modeling of the nonlinearly viscoelastic response of asphalt binders, incorporating three-dimensional effects.” Mech. Time-Depend. Mater. 17 (1): 83–109. https://doi.org/10.1007/s11043-012-9178-9.
Oh, J.-H., R. L. Lytton, and N. S. Kim. 2005. “Modeling of pavement response using nonlinear cross-anisotropic approach.” KSCE J. Civ. Eng. 9 (4): 329–334. https://doi.org/10.1007/BF02829046.
Pappin, J. 1979. “Characteristics of a granular material for pavement design.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Nottingham.
Park, S. W., Y. R. Kim, and R. A. Schapery. 1996. “A viscoelastic continuum damage model and its application to uniaxial behavior of asphalt concrete.” Mech. Mater. 24 (4): 241–255. https://doi.org/10.1016/S0167-6636(96)00042-7.
Paute, J. L., P. Hornych, and J. P. Benaben. 1996. “Repeated load triaxial testing of granular materials in the French network of Laboratories des Ponts et Chaussées.” In Proc., European Symp. Euroflex 1993: Flexible Pavements, edited by A. G. Correia, 53–64. Rotterdam, Netherlands: A.A. Balkema.
Perzyna, P. 1971. “Thermodynamic theory of viscoplasticity.” Adv. Appl. Mech. 11: 313–354. https://doi.org/10.1016/S0065-2156(08)70345-4.
Rahmani, E., M. K. Darabi, R. K. A. Al-Rub, E. Kassem, E. A. Masad, and D. N. Little. 2013. “Effect of confinement pressure on the nonlinear-viscoelastic response of asphalt concrete at high temperatures.” Constr. Build. Mater. 47: 779–788. https://doi.org/10.1016/j.conbuildmat.2013.05.090.
Rahmani, E., M. K. Darabi, D. N. Little, and E. A. Masad. 2017. “Constitutive modeling of coupled aging-viscoelastic response of asphalt concrete.” Constr. Build. Mater. 131: 1–15. https://doi.org/10.1016/j.conbuildmat.2016.11.014.
Rushing, J. F., M. K. Darabi, E. Rahmani, and D. N. Little. 2017. “Comparing rutting of airfield pavements to simulations using pavement analysis using nonlinear damage approach (PANDA).” Int. J. Pavement Eng. 18 (2): 138–159. https://doi.org/10.1080/10298436.2015.1039007.
Saadeh, S., E. Masad, and D. Little. 2007. “Characterization of asphalt mix response under repeated loading using anisotropic nonlinear viscoelastic-viscoplastic model.” J. Mater. Civ. Eng. 19 (10): 912–924. https://doi.org/10.1061/(ASCE)0899-1561(2007)19:10(912).
Sadd, M., Q. Dai, V. Parameswaran, and A. Shukla. 2003. “Simulation of asphalt materials using finite element micromechanical model with damage mechanics.” Transp. Res. Rec. 1832: 86–95. https://doi.org/10.3141/1832-11.
Salehi, R., D. N. Little, and E. Masad. 2008. “Material factors that influence anisotropic behavior of aggregate bases.” Transp. Res. Rec. 2059 (1): 20–30. https://doi.org/10.3141/2059-03.
Scarpas, A., R. Al-Khoury, C. Van Gurp, and S. Erkens. 1997. “Finite element simulation of damage development in asphalt concrete pavements.” In Vol. 1 of Proc., 8th Int. Conf. on Asphalt Pavements, 673–692. Washington, DC: National Academy of Sciences.
Schapery, R. A. 1969. “On characterization of nonlinear viscoelastic materials.” Polym. Eng. Sci. 9 (4): 295–310. https://doi.org/10.1002/pen.760090410.
Schapery, R. A. 1975. “A theory of crack initiation and growth in viscoelastic media. III: Analysis of continuous growth.” Int. J. Fract. 11 (4): 549–562. https://doi.org/10.1007/BF00116363.
Schapery, R. A. 1999. “Nonlinear viscoelastic and viscoplastic constitutive equations with growing damage.” Int. J. Fract. 97 (1–4): 33–66. https://doi.org/10.1023/A:1018695329398.
Seyhan, U., and E. Tutumluer. 2002. “Anisotropic modular ratios as unbound aggregate performance indicators.” J. Mater. Civ. Eng. 14 (5): 409–416. https://doi.org/10.1061/(ASCE)0899-1561(2002)14:5(409).
Shakiba, M., R. K. Abu Al-Rub, M. K. Darabi, T. You, E. A. Masad, and D. N. Little. 2013. “Continuum coupled moisture-mechanical damage model for asphalt concrete.” Transp. Res. Rec. 2372 (1): 72–82. https://doi.org/10.3141/2372-09.
Shakiba, M., M. K. Darabi, and R. K. Abu Al-Rub. 2016. “A thermodynamic framework for constitutive modeling of coupled moisture-mechanical induced damage in partially saturated viscous porous media.” Mech. Mater. 96: 53–75. https://doi.org/10.1016/j.mechmat.2016.02.005.
Sharp, R. W., and J. R. Booker. 1984. “Shakedown of pavements under moving surface loads.” J. Transp. Eng. 110 (1): 1–14. https://doi.org/10.1061/(ASCE)0733-947X(1984)110:1(1).
Smith, D. M. 2000. “Response of granular layers in flexible pavements subjected to aircraft loadings (No. ERDC/GL TR-00-3).” Ph.D. dissertation. Engineer Research and Development Center Vicksburg MS Geotechnical Lab.
Suiker, A. S., and R. de Borst. 2003. “A numerical model for the cyclic deterioration of railway tracks.” Int. J. Numer. Methods Eng. 57 (4): 441–470. https://doi.org/10.1002/nme.683.
Swart, E., T. Scarpas, and X. Liu. 2006. “Development of a computational model for asphaltic concrete response under cyclic loading.” In Asphalt concrete: Simulation, modeling, and experimental characterization, 53–60. Reston, VA: ASCE.
Sweere, G. T. H. 1990. Unbound granular bases for roads. Delft, Netherlands: Technische Universitiet Delft.
Tashman, L., E. Masad, D. Little, and H. Zbib. 2005. “A microstructure-based viscoplastic model for asphalt concrete.” Int. J. Plast. 21 (9): 1659–1685. https://doi.org/10.1016/j.ijplas.2004.11.008.
Thompson, M. R., and D. Nauman. 1993. “Rutting rate analyses of the AASHO road test flexible pavements.” Transp. Res. Rec. 1384: 36–48.
Tutumluer, E., A. Adu-Osei, D. N. Little, and R. N. Lytton. 2001. Field validation of the cross-anisotropic behavior of unbound aggregate bases. College Station, TX: Texas A&M Transportation Institute.
Tutumluer, E., D. N. Little, and S. H. Kim. 2003. “Validated model for predicting field performance of aggregate base courses.” Transp. Res. Rec. 1837: 41–49. https://doi.org/10.3141/1837-05.
Tutumluer, E., and M. R. Thompson. 1997. “Anisotropic modeling of granular bases in flexible pavements.” Transp. Res. Rec. 1577: 18–26. https://doi.org/10.3141/1577-03.
Ullidtz, P. 1993. “Modelling of granular materials using the discrete element method.” In Proc., 8th Int. Conf. on Asphalt Pavements, 757–769. Seattle.
Underwood, B. S., Y. R. Kim, and M. N. Guddati. 2006. “Characterization and performance prediction of ALF mixtures using a viscoelastoplastic continuum damage model (with discussion).” J. Assoc. Asphalt Paving Technol. 75: 577–636.
Uzan, J. 1985. “Characterization of granular material.” Transp. Res. Rec. 1022 (1): 52–59.
Werkmeister, S., A. Dawson, and F. Wellner. 2001. “Permanent deformation behavior of granular materials and the shakedown concept.” Transp. Res. Rec. 1757: 75–81. https://doi.org/10.3141/1757-09.
Witczak, M., and J. Uzan. 1988. The universal airport design system. Report I of IV: Granular material characterization. College Park, MD: Univ. of Maryland, College Park.
Wolff, H., and A. Visser. 1995. “Incorporating elasto-plasticity in granular layer pavement design.” Proc. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 4 (32): 177A.
Wu, Z., and X.-W. Chen. 2011. “Prediction of permanent deformation of pavement base and subgrade materials under accelerated loading.” Int. J. Pavement Res. Technol. 4 (4): 231–237.
Youd, T. L. 1972. “Compaction of sands by repeated shear straining.” J. Soil Mech. Found. Div. 98 (sm7): 709–725.
Zaghloul, S. M., and T. White. 1993. “Use of a three-dimensional, dynamic finite element program for analysis of flexible pavement.” Transp. Res. Rec. 1388: 60–69.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 145Issue 2February 2019

History

Received: Jul 14, 2017
Accepted: Apr 19, 2018
Published online: Nov 20, 2018
Published in print: Feb 1, 2019
Discussion open until: Apr 20, 2019

Permissions

Request permissions for this article.

Authors

Affiliations

Masoud K. Darabi [email protected]
Assistant Professor, Dept. of Civil, Environmental, and Architectural Engineering, Univ. of Kansas, Lawrence, KS 66045 (corresponding author). Email: [email protected]; [email protected]
Rashmi Kola
Ph.D. Candidate, Dept. of Civil, Environmental, and Architectural Engineering, Univ. of Kansas, Lawrence, KS 66045.
Dallas N. Little
Snead Chair Professor and Regents Professor, Zachry Dept. of Civil Engineering, Texas A&M Univ., College Station, TX 77843.
Eisa Rahmani
Associate II, Wiss, Janney, Elstner Associates, Inc., Pfingsten Rd., Northbrook, IL 60062.
Navneet Garg
Project Manager, National Airport Pavement and Materials Research Center, Federal Aviation Administration William J. Hughes Technical Center, Atlantic City, NJ 08405.

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