Multi-scale computational model for design of flexible pavement – part III: two-way coupled multi-scaling

References

• Abu Al-Rub, R.K., et al., 2010. A micro-damage healing model that improves prediction of fatigue life in asphalt mixtures. International Journal of Engineering Science, 48, 966–990.
   Web of Science ®Google Scholar
• Abu Al-Rub, R.K., et al., 2012. Comparing finite element and constitutive modelling techniques for predicting rutting of asphalt pavements. International Journal of Pavement Engineering, 13 (4), 322–338.
   Web of Science ®Google Scholar
• Abu Al-Rub, R.K. and Darabi, M.K., 2012. A thermodynamic framework for constitutive modeling of time- and rate-dependent materials. Part I: theory. International Journal of Plasticity, 34, 61–92.
   Web of Science ®Google Scholar
• Abu Al-Rub, R.K., et al., 2013. Mechanistic-based constitutive modeling of oxidative aging in aging-susceptible materials and its effect on the damage potential of asphalt concrete. Construction and Building Materials, 41, 439–454.
   Web of Science ®Google Scholar
• Aigner, E., Lackner, R., and Pichler, C., 2009. Multiscale prediction of viscoelastic properties of asphalt concrete. Journal of Materials in Civil Engineering, 21 (12), 771–780.
   Web of Science ®Google Scholar
• Allen, D.H. and Yoon, C., 1998. Homogenization techniques for thermoviscoelastic solids containing cracks. International Journal of Solids and Structures, 35, 4035–4054.
   Web of Science ®Google Scholar
• Allen, D.H. and Searcy, C.R., 2000. Numerical aspects of a micromechanical model for a cohesive zone. Journal of Reinforced Plastics and Composites, 19, 240–248.
   Web of Science ®Google Scholar
• Allen, D.H. and Searcy, C.R., 2001a. A micromechanical model for a viscoelastic cohesive zone. International Journal of Fracture, 107 (2), 159–176.
   Web of Science ®Google Scholar
• Allen, D.H. and Searcy, C.R., 2001b. A micromechanically based model for predicting dynamic damage evolution in ductile polymers. Mechanics of Materials, 33, 177–184.
   Web of Science ®Google Scholar
• Allen, D.H., 2002. Homogenization principles and their application to continuum damage mechanics. Composites Science and Technology, 61, 2223–2230.
   Web of Science ®Google Scholar
• Allen, D.H. and Searcy, C.R., 2006. A model for predicting the evolution of multiple cracks on multiple length scales in viscoelastic composites. Journal of Materials Science, 41 (20), 6501–6519.
   Web of Science ®Google Scholar
• Allen, D.H., Little, D.N., Soares, R.F., and Berthelot, C., 2015a. Multi-scale computational model for design of flexible pavement – part I: expanding multiscaling, ASCE Journal of Materials Engineering, doi: 10.1080/10298436.2015.1065999.
   Google Scholar
• Allen, D.H., Little, D.N., Soares, R.F., and Berthelot, C., 2015b. Multi-scale computational model for design of flexible pavement – part II: contracting multiscaling, ASCE Journal of Materials Engineering, doi: 10.1080/10298436.2015.1066000.
   Google Scholar
• American Association of State Highway and Transportation Officials, 2008. Mechanistic-empirical pavement design guide. Washington, DC: AASHTO.
   Google Scholar
• Costanzo, F., Boyd, J.G., and Allen, D.H., 1996. Micromechanics and homogenization of inelastic composite materials with growing cracks. Journal of the Mechanics and Physics of Solids, 44 (3), 333–370.
   Web of Science ®Google Scholar
• Darabi, M.K., et al., 2011. A thermo-viscoelastic–viscoplastic–viscodamage constitutive model for asphaltic materials. International Journal of Solids and Structures, 48 (1), 191–207.
   Web of Science ®Google Scholar
• Darabi, M.K., Abu Al-Rub, R.K., and Little, D.N., 2012. A continuum damage mechanics framework for modeling micro-damage healing. International Journal of Solids and Structures, 49 (3), 492–513.
   Web of Science ®Google Scholar
• Darabi, M.K., et al., 2012. A modified viscoplastic microstructural modeling of asphalt concrete using a unified viscoelastic–viscoplastic–viscodamage model. International Journal of Plasticity, 35, 100–134.
   Web of Science ®Google Scholar
• Darabi, M.K., et al., 2013. Constitutive modeling of fatigue damage response of asphalt concrete materials with consideration of micro-damage healing. International Journal of Solids and Structures., 50, 2901–2913.
   Web of Science ®Google Scholar
• Helms, K.L.E., Allen, D.H., and Hurtado, L.D., 1999. A model for predicting grain boundary cracking in polycrystalline viscoplastic materials including scale effects. International Journal of Fracture, 95, 175–194.
   Web of Science ®Google Scholar
• Kim, Y.R., Allen, D.H., and Little, D.N., 2005. Damage-induced modeling of asphalt mixtures through computational micromechanics and cohesive zone fracture. Journal of Materials in Civil Engineering, 17 (5), 477–484.
   Web of Science ®Google Scholar
• Kim, H. and Buttlar, W.G., 2009. Multiscale fracture modeling of asphalt composite structures. Composites Science Technology, 69 (15–16), 2716–2723.
   Web of Science ®Google Scholar
• Kim, Y.R., Souza, F.V., and Teixeira, J.E.S.L., 2013. A two-way coupled multiscale model for predicting damage-associated performance of asphaltic roadways. Computational Mechanics, 51, 187–201.
   Web of Science ®Google Scholar
• Little, D.N., Allen, D.H., and Bhasin, A., 2015. Modeling and design of flexible pavements and materials. New York, NY:Springer.
   Google Scholar
• Šejnoha, M., Zeman, J., and Valenta, R., 2010. Macroscopic constitutive law for mastic asphalt mixtures from multiscale modeling. International Journal for Multiscale Computational Engineering, 8 (1), 131–149.
   Web of Science ®Google Scholar
• Soares, R.F., Kim, Y.R., and Allen, D.H., 2008. Multiscale computational modeling for predicting evolution of damage in asphaltic pavements. In: A. Loizos, T. Scarpas, and I.L. Al-Qadi, eds. Pavement cracking mechanisms, modeling, detection, testing and case histories. Abingdon, UK: CRC Press, 599–608.
   Google Scholar
• Souza, F.V., Allen, D.H., and Kim, Y.R., 2008. Multiscale model for predicting damage evolution in composites due to impact loading. Composites Science and Technology, 68, 2624–2634.
   Web of Science ®Google Scholar
• Souza, F.V. and Allen, D.H., 2009. Model for predicting multiscale crack growth due to impact in heterogeneous viscoelastic solids. Mechanics of Composite Materials, 45, 145–152.
   Web of Science ®Google Scholar
• Souza, F.V. and Allen, D.H., 2011. Modeling failure of heterogeneous viscoelastic solids under dynamic/impact loading due to multiple evolving cracks using a multiscale model. Mechanics Time-Dependent Materials, 14, 125–151.
   Web of Science ®Google Scholar
• Souza, F.V. and Allen, D.H., 2011. Multiscale modeling of impact on heterogeneous viscoelastic solids containing evolving microcracks. International Journal of Numerical Methods in Engineering, 82, 464–504.
   Web of Science ®Google Scholar
• Teixeira, J.E.S.L., Kim, Y.R., Souza, Allen, D.H., and Little D.N., 2014. Multiscale model for asphalt mixtures subjected to cracking and viscoelastic deformation. Journal Transactions Research Board, 2447, 136–145.
   Web of Science ®Google Scholar
• You, T., et al., 2012. Three-dimensional microstructural modeling of asphalt concrete using a unified viscoelastic–viscoplastic–viscodamage model. Construction and Building Materials, 28 (1), 531–548.
   Web of Science ®Google Scholar
• Zocher, M.A., Allen, D.H., and Groves, S.E., 1997. A three dimensional finite element formulation for thermoviscoelastic orthotropic media. International Journal of Numerical Methods in Engineering, 40, 2267–2288.
   Web of Science ®Google Scholar