173
Views
2
CrossRef citations to date
0
Altmetric
Research Article

A semi-analytical random shakedown solution for pavements with spatial variability

, ORCID Icon &
Article: 2055021 | Received 09 Jun 2021, Accepted 14 Mar 2022, Published online: 13 Apr 2022

References

  • Aboustit, Baher Labeeb, 1979. Finite element linear programming approach to foundation shakedown. Thesis (PhD). Memorial University of Newfoundland.
  • Aguiar-Moya, J. P., and Prozzi, J., 2011. Development of reliable pavement models. Texas: Southwest Region University Transportation Center (US).
  • American Association of State Highway and Transportation Officials, 1993. AASHTO guide for design of pavement structures. Washington, DC: AASHTO.
  • Ang, A. H. S., and Tang, W. H., 2007. Probability concepts in engineering: emphasis on applications in civil and environmental engineering. New York: Wiley.
  • Baecher, G. B., and Christian, J. T., 2005. Reliability and statistics in geotechnical engineering. West Sussex, UK: John Wiley & Sons.
  • Binesh, S. M., and Gholampour, A., 2015. Mesh-free lower bound limit analysis. International Journal of Computational Methods, 12 (01), 1350105.
  • Bozorgpour, M. H., Binesh, S. M., and Rahmani, R., 2021. Probabilistic stability analysis of geo-structures in anisotropic clayey soils with spatial variability. Computers and Geotechnics, 133, 104044.
  • Brown, S. F., et al., 2012. Validation experiments for lower-bound shakedown theory applied to layered pavement systems. Géotechnique, 62 (10), 923–932.
  • Collins, I. F., Wang, A. P., and Saunders, L. R., 1993. Shakedown in layered pavements under moving surface loads. International Journal for Numerical and Analytical Methods in Geomechanics, 17 (3), 165–174.
  • Costa, P. A., Lopes, P., and Cardoso, A. S., 2018. Soil shakedown analysis of slab railway tracks: numerical approach and parametric study. Transportation Geotechnics, 16, 85–96.
  • Davis, M. W., 1987. Production of conditional simulations via the LU triangular decomposition of the covariance matrix. Mathematical Geology, 19 (2), 91–98.
  • Fenton, G. A., and Griffiths, D. V., 2008. Risk assessment in geotechnical engineering. Hoboken, NJ: John Wiley & Sons.
  • Jamshidi Chenari, R., and Alaie, R., 2015. Effects of anisotropy in correlation structure on the stability of an undrained clay slope. Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards, 9 (2), 109–123.
  • Johnson, K. L., 1985. Contact mechanics. Cambridge: Cambridge University Press.
  • Karki, A., 2017. Development of simplified framework for reliability analysis of flexible pavement using mechanistic empirical pavement design guide. Thesis (PhD). University of Akron.
  • Krishnan, K., Halder, K., and Chakraborty, D., 2021. Probabilistic shakedown analysis of cohesive soil under moving surface loads considering wheel-soil interface friction. Road Materials and Pavement Design. doi: 10.1080/14680629.2021.1888777.
  • Li, H. X., and Yu, H. S., 2006. A nonlinear programming approach to kinematic shakedown analysis of frictional materials. International Journal of Solids and Structures, 43, 6594–6614.
  • Liu, S., et al., 2016. Shakedown solutions for pavements with materials following associated and non-associated plastic flow rules. Computers and Geotechnics, 78, 218–226.
  • Liu, S., et al., 2020. Shakedown of asphalt pavements considering temperature effect. International Journal of Pavement Engineering. doi: 10.1080/10298436.2020.1812068.
  • Liu, S., and Wang, J., 2019. Application of shakedown theory in track substructure design. Proceedings of the Institution of Civil Engineers-Ground Improvement, 172 (2), 116–123.
  • Lumb, P., 1970. Safety factors and the probability distribution of soil strength. Canadian Geotechnical Journal, 7, 225–242.
  • Melan, E., 1938. Zur plastizitat des raumlichen kontinuums. Ingenieur-Archiv, 9, 116–126.
  • Mo, P. Q., and Wang, J., 2020. Shakedown analysis of cavities in cohesive-frictional materials and its application to underground energy storage caverns. Soils and Foundations, 60 (1), 77–89.
  • Qian, J., et al., 2019. The influence of traffic moving speed on shakedown limits of flexible pavements. International Journal of Pavement Engineering, 20 (2), 233–244.
  • Qian, J., Dai, Y., and Huang, M., 2020. Dynamic shakedown analysis of two-layered pavement under rolling-sliding contact. Soil Dynamics and Earthquake Engineering, 129, 105958.
  • Radovsky, B. S., and Murashina, N. V., 1996. Shakedown of subgrade soil under repeated loading. Transportation Research Record: Journal of the Transportation Research Board, 1547 (1), 82–88.
  • Rahmani, R., and Binesh, S. M., 2020. Mesh-free shakedown analysis of cohesive-frictional pavement under moving traffic loads: deterministic and probabilistic frameworks. Road Materials and Pavement Design, 21 (4), 1096–1134.
  • Retherford, J. Q., and McDonald, M., 2010. Reliability methods applicable to mechanistic–empirical pavement design method. Transportation Research Record, 2154 (1), 130–137.
  • Srivastava, A., Babu, G. L. S., and Haldar, S., 2010. Influence of spatial variability of permeability property on steady state seepage flow and slope stability analysis. Engineering Geology, 110 (3–4), 93–101.
  • US Army Corps of Engineers, 1995. Introduction to probability and reliability methods for use in geotechnical engineering. Technical Letter No. 1110-2-547. Washington, DC: US Army Corps of Engineers.
  • Vanmarcke, E. H., 1984. Random fields, analysis and synthesis. Cambridge, MA: MIT Press.
  • Vetterling, W. T., et al., 2002. Numerical recipes in C++: the art of scientific computing (2nd ed). Cambridge: Cambridge University Press.
  • Wackernagel, H., 1998. Multivariate geostatistics: an introduction with applications. Berlin: Springer.
  • Wang, J., 2011. Shakedown analysis and design of flexible road pavements under moving surface loads. Thesis (PhD). The University of Nottingham.
  • Wang, J., and Yu, H. S., 2013a. Residual stresses and shakedown in cohesive-frictional half-space under moving surface loads. Geomechanics and Geoengineering, 8 (1), 1–14.
  • Wang, J., and Yu, H. S., 2014. Three-dimensional shakedown solutions for anisotropic cohesive-frictional materials under moving surface loads. International Journal for Numerical and Analytical Methods in Geomechanics, 38 (4), 331–348.
  • Yu, H. S., 2005. Three-dimensional analytical solutions for shakedown of cohesive-frictional materials under moving surface loads. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 461 (2059), 1951–1964.
  • Yu, H. S., 2007. Plasticity and geotechnics (Vol. 13). New York: Springer Science & Business Media.
  • Yu, H. S., and Wang, J., 2012. Three-dimensional shakedown solutions for cohesive-frictional materials under moving surface loads. International Journal of Solids and Structures, 49 (26), 3797–3807.
  • Yucemen, M. S., Tang, W. H., and Ang, A. H. S., 1973. A probabilistic study of safety and design of earth slopes. Urbana: University of Illinois. Civil engineering studies, structural research series, (Vol. 402).
  • Zhuang, Y., and Wang, K., 2018. Shakedown solutions for pavement structures with von mises criterion subjected to Hertz loads. Road Materials and Pavement Design, 19 (3), 710–726.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.