Technical Papers
Mar 22, 2016

Viscoelastic Nonlinear Multilayered Model for Asphalt Pavements

Publication: Journal of Engineering Mechanics
Volume 142, Issue 7

Abstract

Flexible pavements are multilayer structures, typically with a viscoelastic asphalt layer followed by nonlinear unbound/bound layers. Conventionally, multilayered elastic analysis is performed to obtain the response of flexible pavements for design and inverse analyses; however, assuming asphalt pavement to be a linear elastic material is an oversimplification of its actual behavior. It is well known that the responses of asphalt pavements are both rate and temperature dependent. In the present work, a computationally efficient model has been developed to analyze flexible pavements, considering the top layer of linear viscoelastic asphalt concrete (AC), followed by a stress-dependent (nonlinear) base layer, and an elastic subgrade. Constitutive equations are formulated for layered viscoelastic–nonlinear axisymmetric systems. It is shown that the developed model can be used to simulate pavement response under stationary or transient loading. A comparison between the model responses and results obtained using a finite-element (FE) model shows that the model could be used to simulate both deflections and stress responses in multilayer viscoelastic nonlinear structures. The primary advantage of the model, as opposed to FE models, is its computational efficiency. This makes it viable for use in backcalculation algorithms.

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Acknowledgments

The funding for this study was provided by the Federal Highway Administration (FHWA) Grant DTFH61-11-C-00026. This support is greatly appreciated. The authors also express their gratitude to Dr. Nadarajah Sivanesvaran (Siva) from the FHWA for his valuable comments. The authors also acknowledge the comments of the FHWA project team members Prof. Karim Chatti, Dr. Imen Zabaar, and Prof. Nizar Lajnef.

References

Abaqus version 6.11 [Computer software]. Dassault Systèmes, Waltham, MA.
ADINA. (2012). “ADINA theory and modeling guides.”, ADINA R&D, Watertown, MA.
AI (Asphalt Institute). (1999). Thickness design-Asphalt pavements for highways and streets, 9th Ed., Lexington, KY.
Al-Khoury, R., Scarpas, A., Kasbergen, C., and Blaauwendraad, J. (2001a). “Spectral element technique for efficient parameter identification of layered media. Part I: Forward calculation.” Int. J. Solids Struct., 38(9), 1605–1623.
Al-Khoury, R., Scarpas, A., Kasbergen, C., and Blaauwendraad, J. (2001b). “Spectral element technique for efficient parameter identification of layered media. Part II: Inverse calculation.” Int. J. Solids Struct., 38(48–49), 8753–8772.
Austroads. (2004). “Pavement design.” Australian Dept. of Transportation, Sydney, Australia.
Burmister, D. M. (1945). “The general theory of stress and displacements in layered soil systems. I.” J. Appl. Phys., 16(2), 89–94.
Burmister, D. M., Palmer, L. A., Barber, E. S., and Middlebrooks, T. A. (1943). “The theory of stress and displacements in layered systems and applications to the design of airport runways.” Proc., 23rd Annual Meeting, Vol. 23, Highway Research Board, Washington, DC, 126–148.
Chen, S. S. (1987). “The response of multilayered systems to dynamic surface loads.” Ph.D. dissertation, Univ. of California, Berkeley, CA.
Chen, Y. G., Pan, E., and Green, R. (2009). “Surface loading of a multilayered viscoelastic pavement: Semianalytical solution.” J. Eng. Mech., 517–528.
De Jong, D. L., Peutz, M. G. F., and Korswagen, A. R. (1979). “Computer program BISAR, layered systems under normal and tangential surface loads.” Koninklijke-Shell Laboratorium, Amsterdam, Netherlands.
Elseifi, M. A., Al-Qadi, I. L., and Yoo, P. J. (2006). “Viscoelastic modeling and field validation of flexible pavement.” J. Eng. Mech., 172–178.
Fung, Y. C. (1996). Biomechanics mechanical properties of living tissues, 2nd Ed., Springer, New York.
Gibson, N., et al. (2012). “Performance testing for superpave and structural validation.”, Federal Highway Administration Publication, Washington, DC.
Harichandran, R. S., Baladi, G. Y., and Yeh, M. S. (1989). “MICH-PAVE user’s manual.”, Dept. of Civil and Environmental Engineering, Michigan State Univ., East Lansing, MI.
Hicks, R. G., and Monismith, C. L. (1971). “Factors influencing the resilient properties of granular materials.” Highway Res. Rec., 345, 15–31.
Hjelmstad, K. D., and Taciroglu, E. (2000). “Analysis and implementation of resilient modulus models for granular solids.” J. Eng. Mech., 821–830.
Hopman, P. C. (1996). “VEROAD: A viscoelastic multilayer computer program.” Transp. Res. Rec., 1539, 72–80.
Huang, Y. H. (1973). “Stresses and strains in viscoelastic multilayer systems subjected to moving loads.” Highway Res. Rec., 457, 60–71.
Huang, Y. H. (2004). Pavement analysis and design, 2nd Ed., Prentice-Hall, Englewood Cliffs, NJ.
IRC (Indian Roads Congress). (2001). “Guidelines for the design of flexible pavements.”, New Delhi, India.
Kim, M., Tutumluer, E., and Know, J. (2009). “Nonlinear pavement foundation modeling for three-dimensional finite-element analysis of flexible pavements.” Int. J. Geomech., 195–208.
Kutay, M. E., Chatti, K., and Lei, L. (2011). “Backcalculation of dynamic modulus from FWD deflection data.” Transp. Res. Rec., 2227, 87–96.
Leaderman, H. (1943). Elastic and creep properties of filamentous materials and other higher polymers, Textile Foundation, Washington, DC.
Levenberg, E. (2008). “Validation of NCAT structural test track experiment using INDOT APT facility.”, North Central Superpave Center, Joint Transportation Research Program, Purdue Univ., West Lafayette, IN.
Levenberg, E. (2013). “Inverse analysis of viscoelastic pavement properties using data from embedded instrumentation.” Int. J. Numer. Anal. Meth. Geomech., 37, 1016–1033.
Masad, E., Huang, C., Airey, G., and Muliana, A. (2008). “Nonlinear viscoelastic analysis of unaged and aged asphalt binders.” Constr. Build. Mater., 22, 2170–2179.
MEPDG (Mechanistic Empirical Pavement Design Guide). (2004). “Guide for mechanistic-empirical design of new and rehabilitated pavement structures.” National Cooperative Highway Research Program, Transportation Research Board, National Research Council, Washington, DC.
Nekouzadeh, A., and Genin, G. M. (2013). “Adaptive quasi-linear viscoelastic modeling.” Studies in mechanobiology, tissue engineering and biomaterials, Vol. 10, Springer, Berlin, Germany, 47–83.
Ooi, P. S., Archilla, A. A., and Sandefur, K. G. (2004). “Resilient modulus models for compacted cohesive soils.” Transp. Res. Rec., 1874, 115–124.
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.
Raad, L., and Figueroa, J. L. (1980). “Load response of transportation support systems.” Transp. Eng. J., 106(1), 111–128.
Schapery, R. A. (1965). “Method of viscoelastic stress analysis using elastic solutions.” J. Franklin Inst., 279(4), 268–289.
Schapery, R. A. (1969). “On the characterization of nonlinear viscoelastic materials.” Polym. Eng. Sci., 9(4), 295–310.
Schapery, R. A. (1974). “Viscoelastic behavior and analysis of composite materials.” Mechanics of composite materials, Academic Press, New York, 85–168.
Schwartz, C. W. (2002). “Effect of stress-dependent base layer on the superposition of flexible pavement solutions.” Int. J. Geomech., 331–352.
Shames, I. H., and Cozzarelli, F. A. (1997). Elastic and inelastic stress analysis, Taylor and Francis, Boca Raton, FL.
Shell International Petroleum Company. (1978). Shell pavement design manual-Asphalt pavement and overlays for road traffic, London.
Taylor, A. J., and Timm, D. H. (2009). “Mechanistic characterization of resilient moduli for unbound pavement layer materials.”, Auburn Univ., Auburn, AL, 9–6.
Theyse, H. L., Beer, M., and Rust, F. C. (1996). “Overview of the South African mechanistic pavement design analysis method.” Transp. Res. Rec., 1539, 6–17.
Tutumluer, E. (1995). “Predicting behavior of flexible pavements with granular bases.” Ph.D. dissertation, School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta.
Uzan, J. (1985). “Characterization of granular material.” Transp. Res. Rec., 1022, 52–59.
Varma, S., Kutay, M. E., and Chatti, K. (2013a). “Data requirements from falling weight deflectometer tests for accurate backcalculation of dynamic modulus master curve of asphalt pavements.” Proc., 2013 Airfield & Highway Pavement Conf., ASCE, Reston, VA.
Varma, S., Kutay, M. E., and Levenberg, E. (2013b). “Aviscoelastic genetic algorithm for inverse analysis of asphalt layer properties from falling weight deflections.” Transp. Res. Rec., 4(2013), 38–46.
Wang, H., and Al-Qadi, I. L. (2013). “Importance of nonlinear anisotropic modeling of granular base for predicting maximum viscoelastic pavement responses under moving vehicular loading.” J. Eng. Mech., 139, 29–38.
Warren, H., and Dieckmann, W. L. (1963). “Numerical computation of stresses and strains in a multiple-layered asphalt pavement system.” California Research Corporation, Richmond, CA.
Witczak, M. W., and Uzan, J. (1988). “The universal airport pavement design system.” Rep. I of IV: Granular material characterization, Univ. of Maryland, College Park, MD.
Yau, A., and Von Quintus, H. L. (2002). “Study of laboratory resilient modulus test data and response characteristics.”, Federal Highway Administration, Washington, DC.
Yong, Y., Yang, X., and Chen, C. (2010). “Modified Schapery’s model for asphalt sand.” J. Eng. Mech., 448–454.
Zhou, H. (2000). “Comparison of backcalculated and laboratory measured moduli on AC and granular base layer materials.” Nondestructive testing of pavements and backcalculation of moduli, Vol. 3, ASTM STP 1375, S. D. Tayabji and E. O. Lukamen, eds., ASTM, West Conshohocken, PA.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 142Issue 7July 2016

History

Received: Feb 14, 2014
Accepted: Jul 24, 2014
Published online: Mar 22, 2016
Published in print: Jul 1, 2016
Discussion open until: Aug 22, 2016

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Authors

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Sudhir Varma [email protected]
Research Assistant, Dept. of Civil and Environmental Engineering, Michigan State Univ., East Lansing, MI 48824-1226. E-mail: [email protected]
M. Emin Kutay [email protected]
Assistant Professor, Dept. of Civil and Environmental Engineering, Michigan State Univ., East Lansing, MI 48824-1226 (corresponding author). E-mail: [email protected]

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