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KSCE Journal of Civil Engineering

, Volume 22, Issue 6, pp 2126–2137 | Cite as

An Efficient Computation for the Multiaxial Viscoelastic Continuum Damage Analysis of Pavements

  • Jaeseung Kim
  • Sungho Mun
Mechanistic Evaluation of Asphalt Paving Materials and Structures
  • 44 Downloads

Abstract

An efficient computation method that allows for evaluating the capability of pavement structures subjected to realistic loading conditions on fatigue cracking is important for pavement engineers. This study developed a fast and reliable computation algorithm, based on evaluating the fatigue cracking resistance of flexible pavements using the principle of the multiaxial Viscoelastic Continuum Damage Mechanics (VECD). For this purpose, a viscoelastic analysis was derived for the viscoelastic multilayered pavement systems under a moving load and used for integrating the multiaxial VECD model into the developed solution. Because of the analytical nature of the algorithm, stiffness reduction by means of pseudo stiffness could be directly evaluated at any location and at any loading repetition over a three-dimensional pavement structure. The resulted evaluation indicated that overall fatigue cracking performance of pavement structures could be assessed by the bottom pseudo stiffness; however, the probability of top-down cracking was high in pavement structures with thick asphalt layers.

Keywords

viscoelastic fatigue cracking continuum damage mechanics flexible pavement 

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References

  1. Abate, J. and Valko, P. P. (2004). “Multi-precision laplace transform Inversion.” Int. J. Numer Meth Eng., vol. 60, no. 5, pp. 979–993, DOI: 10.1002/nme.995.CrossRefzbMATHGoogle Scholar
  2. ADINA (2008). ADINA user's manual 8.5., ADINA R & D, Inc., Watertown, MA.Google Scholar
  3. Al-Qadi, I. L., Yoo, P. J., Elseifi, M. A., and Janajreh, I. (2005). “Effects of tire configurations on pavement damage.” Journal of the Association of Asphalt Paving Technologists, vol. 74, pp. 921–961, (DOI not available).Google Scholar
  4. Burmister, D. M. (1945). “The General theory of stresses and displacements in layered soil system, I.” Journal of Applied Physic, vol. 16, no. 2, pp. 89–94, DOI: 10.1063/1.1707558.CrossRefGoogle Scholar
  5. Burmister, D. M. (1945). “The General theory of stresses and displacements in layered soil system, II.” Journal of Applied Physic, vol. 16, pp. 126–127, DOI: 10.1063/1.1707562.CrossRefGoogle Scholar
  6. Burmister, D. M. (1945). “The General theory of stresses and displacements in layered soil system, III.” Journal of Applied Physic, vol. 16, no. 5, pp. 296–302, DOI: 10.1063/1.1707590.CrossRefGoogle Scholar
  7. Buttlar, W. G., Paulino, G. H., and Song, S-H. (2006). “Application of graded finite elements for asphalt pavements.” Journal of Engineering Mechanics, vol. 132, no. 3, pp. 240–249, DOI: 10.1061/(ASCE) 0733-9399(2006)132:3(240).CrossRefGoogle Scholar
  8. Cao, W. and Kim, Y. R. (2016). “A viscoplastic model for the confined permanent deformation of asphalt concrete in compression.” Mechanics of Materials, vol. 92, pp. 235–247, DOI: 10.1016/j.mechmat. 2015.10.001.CrossRefGoogle Scholar
  9. Caro, S., Masad, E., Bhasin, A., and Little, D. (2010). “Micromechanical modeling of the influence of material properties on moistureinduced damage in asphalt mixtures.” Construction and Building Materials, vol. 24, no. 7, pp. 1184–1192, DOI: 10.1016/j.conbuildmat. 2009.12.022.CrossRefGoogle Scholar
  10. Chehab, G. R., 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.” Journal of the Association of Asphalt Paving Technologists, vol. 72, pp. 315–355.Google Scholar
  11. Daniel, J. and Kim, Y. R. (2002). “Development of a simplified fatigue test and analysis procedure using a viscoelastic continuum damage model.” Journal of the Association of Asphalt Paving Technologists, vol. 71, pp. 619–650.Google Scholar
  12. Drescher, A., Kringos, N., and Scarpas, T. (2010). “On the behavior of a parallel elasto-visco-plastic model for asphaltic materials.” Mechanics of Materials, vol. 42, no. 2, pp. 109–117, DOI: 10.1016/j.mechmat. 2009.10.005.CrossRefGoogle Scholar
  13. Elseifi, M. A., Al-Qadi, I. L., and Yoo, P. J. (2006). “Viscoelastic modeling and field validation of flexible pavements.” J. Eng. Mech.-Asce, vol. 132, pp. 172–178, DOI: 10.1061/(ASCE)0733-9399(2006)132:2 (172).CrossRefGoogle Scholar
  14. Findley, W. N., Lai, J. S., and Onaran, K. (1976). Creep and Relaxation of Nonlinear Viscoelastic Materials: With an Introduction to Linear Viscoelasticity, Dover Publications, NY.zbMATHGoogle Scholar
  15. Gerritsen, A. H., Van Gurp, C., Van der Heide, J. P. J., Molenaar, A. A. A., and Pronk, A. C. (1987). “Prediction and prevention of surface cracking in asphaltic pavements.” 6th International Conference Structural Design of Asphalt Pavements, The University of Michigan, Ann Arbor, MI, pp. 378–391.Google Scholar
  16. Gu, X., Dong, Q., and Yuan, Q. (2015). “Development of an innovative uniaxial compression test to evaluate permanent deformation of asphalt mixtures.” Journal of Materials in Civil Engineering, vol. 27, no. 1, pp. 04014104, DOI: 10.1061/(ASCE)MT.1943-5533.0001038.CrossRefGoogle Scholar
  17. Ha, K. and Schapery, R. A. (1998). “A three-dimensional viscoelastic constitutive model for particulate composites with growing damage and its experimental validation.” International Journal of Solids and Structures, vol. 35, pp. 3497–3517, DOI: 10.1016/S0020-7683(97) 00213-8.CrossRefzbMATHGoogle Scholar
  18. Hinterhoelzl, R. M. and Schapery, R. A. (2004). “FEM Implementation of a three-dimensional viscoelastic constitutive model for particulate composites with damage growth.” Mechanics of Time-Dependent Materials, vol. 8, no. 1, pp. 65–94, DOI: 10.1023/B:MTDM. 0000027683.06097.76.CrossRefGoogle Scholar
  19. Huang, Y. H. (1993). Pavement Analysis and Design, Prentice Hall, NJ.Google Scholar
  20. Kim, J. (2011). “General viscoelastic solutions for multilayered systems subjected to static and moving loads.” Journal of Materials in Civil Engineering, vol. 23, no. 7, pp. 1007–1016, DOI: 10.1061/(ASCE) MT.1943-5533.0000270.CrossRefGoogle Scholar
  21. Kim, J., Byron, T., Sholar, G. A., and Kim, S. (2008). “Comparison of a three-dimensional viscoelastic pavement model with full-scale field tests.” Transportation Research Board 87th Annual Meeting, Transportation Research Board, Washington, D.C., No. 08-0876.Google Scholar
  22. Kim, J., Roque, R., and Byron, T. (2009). “Viscoelastic analysis of flexible pavements and its effects on Top-Down cracking.” Journal of Materials in Civil Engineering, vol. 21, pp. 324–332, DOI: 10.1061/(ASCE)0899-1561(2009)21:7(324).CrossRefGoogle Scholar
  23. Kim, Y. R. and Little, D. N. (1990). “One-Dimensional constitutive modeling of asphalt concrete.” Journal of Engineering Mechanics, vol. 116, no. 4, pp. 751–772, DOI: 10.1061/(ASCE)0733-9399 (1990)116:4(751).CrossRefGoogle Scholar
  24. Kutay, M., Gibson, N., and Youtcheff, J. (2008). “Conventional and Viscoelastic Continuum Damage (VECD) based fatigue analysis of polymer modified asphalt pavements.” Journal of the Association of Asphalt Paving Technologists, vol. 77, pp. 395–434.Google Scholar
  25. Lemaitre, J. and Desmorat, R. (2005). Engineering Damage Mechanics: Ductile, Creep, Fatigue and Brittle Failures. Springer Verlag, NY.Google Scholar
  26. Love, A. E. H. (1927). A Treatise on the Mathematical Theory of Elasticity, Dover Publications, NY.zbMATHGoogle Scholar
  27. Lundström, R. and Isacsson, U. (2004). “An investigation of the applicability of schapery’s work potential model for characterization of asphalt fatigue behavior.” Journal of the Association of Asphalt Paving Technologists, vol. 73, pp. 657–695.Google Scholar
  28. Masad, E., Tashman, L., Little, D., and Zbib, H. (2005). “Viscoplastic modeling of asphalt mixes with the effects of anisotropy, damage and aggregate characteristics.” Mechanics of Materials, vol. 37, no. 12, pp. 1242–1256, DOI: 10.1016/j.mechmat.2005.06.003.CrossRefGoogle Scholar
  29. Mun, S., Guddati, M. N., and Kim, Y. R. (2004). “Fatigue cracking mechanisms in asphalt pavements with viscoelastic continuum damage finite-element program.” Transportation Research Record 1896, pp. 96–106, DOI: 10.3141/1896-10.Google Scholar
  30. Mun, S., Guddati, M.N., and Kim, Y. R. (2005). “Continuum damage finite element modeling of asphalt concrete.” KSCE Journal of Civil Engineering, vol. 9, pp. 205–211, DOI: 10.1007/BF02829051.CrossRefGoogle Scholar
  31. 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.” Mechanics of Materials, vol. 24, pp. 241–255, DOI: 10.1016/S0167-6636(96)00042-7.CrossRefGoogle Scholar
  32. Roque, R., Birgisson, B., Drakos, C., and Dietrich, B. (2004). “Development and field evaluation of Energy-Based criteria for Top-Down cracking performance of hot mix asphalt.” Journal of the Association of Asphalt Paving Technologists, vol. 73, pp. 229–260.Google Scholar
  33. Roque, R., Koh, C., Chen, Y., Sun, X., and Lopp, G. (2009). Introduction of Fracture Resistance to the Design and Evaluation of Open Graded Friction Courses in Florida, University of Florida, Gainesville, FL.Google Scholar
  34. Schapery, R. A. (1975). “Theory of Crack Initiation and Growth in Viscoelastic Media Part II: Approximate Methods of Analysis.” International Journal of Fracture, vol. 11, pp. 369–388, DOI: 10.1007/BF00033526.CrossRefGoogle Scholar
  35. Schapery, R. A. (1984). “Correspondence principles and a generalized j integral for large deformation and fracture-analysis of viscoelastic media.” International Journal of Fracture, vol. 25, pp. 195–223, DOI: 10.1007/BF01140837.CrossRefGoogle Scholar
  36. Schapery, R. A. (1990). “A theory of mechanical-behavior of elastic media with growing damage and other changes in structure.” Journal of the Mechanics and Physics of Solids, vol. 38, pp. 215–253, DOI: 10.1016/0022-5096(90)90035-3.MathSciNetCrossRefzbMATHGoogle Scholar
  37. Talbot, A. (1979). “Accurate Numerical Inversion of Laplace Transforms.” IMA Journal of Applied Mathematics, vol. 23, pp. 97–120, DOI: 10.1093/imamat/23.1.97.MathSciNetCrossRefzbMATHGoogle Scholar
  38. Tschoegl, N. W. (1989). The Phenomenological Theory of Linear Viscoelastic Behavior: An Introduction, Springer, NY.CrossRefzbMATHGoogle Scholar
  39. Uhlmeyer, J. S., Willoughby, K., Pierce, L. M., and Mahoney, J. P. (2000). “Top-down Cracking in Washington State Asphalt Concrete Wearing Courses.” Transportation Research Record, vol. 1730, pp. 110–116, DOI: 10.3141/1730-13.CrossRefGoogle Scholar
  40. Underwood, B. S., Kim, Y. R., and Guddati, M. N. (2006). “Characterization and performance prediction of ALF mixtures using a viscoelastoplastic continuum damage model.” Journal of the Association of Asphalt Paving Technologists, vol. 75, pp. 577–636.Google Scholar
  41. Underwood, B. S. and Kim, Y. R. (2014). “A four phase micro-mechanical model for asphalt mastic modulus.” Mechanics of Materials, vol. 75, pp. 13–33, DOI: 10.1016/j.mechmat.2014.04.001.CrossRefGoogle Scholar
  42. Zhao, Y., Bai, L., and Liu, H. (2014). “Implementation of a triaxial dynamic modulus master curve in finite-element modeling of asphalt pavements.” Journal of Materials in Civil Engineering, vol. 26, no. 3, pp. 491–498, DOI: 10.1061/(ASCE)MT.1943-5533.0000823.CrossRefGoogle Scholar

Copyright information

© Korean Society of Civil Engineers 2018

Authors and Affiliations

  1. 1.Samsung C&TSingapore CitySingapore
  2. 2.Dept. of Civil EngineeringSeoul National University of Science and TechnologySeoulKorea

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