Skip to main content
Log in

Influence of material properties on analysis and design of pavements using shakedown theory

  • Published:
Journal of Shanghai Jiaotong University (Science) Aims and scope Submit manuscript

Abstract

Currently, traditional analysis and design methods are unreasonable in evaluating the performance and safety of pavements. The characteristic of shakedown theory lends itself particularly to the analysis of pavements. Based on the lower bound shakedown theory, a simple and practical procedure for shakedown analysis of pavements has been developed using plastic strain energy as shakedown criteria via considering a special loading path. The proposed method is verified by using a homogeneous isotropic half space. Then, the method is applied to analyze a two-layered pavement. The dependence of shakedown limit on material properties of pavements is investigated in details. According to the analysis results, some valuable references are suggested for the selection of materials for accurate evaluation of the bearing performance of pavement under traffic loading.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Collins I F, Boulbibane M. Geomechanical analysis of unbound pavements based on shakedown theory [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2000, 1: 50–59.

    Article  Google Scholar 

  2. Vepa T S, George K P. Deflections response models for cracked rigid pavements [J]. Journal of Transportation Engineering, 1997, 123: 377–384.

    Article  Google Scholar 

  3. Li H X, Yu H S. A nonlinear programming approach to kinematic shakedown analysis of frictional materials [J]. International Journal of Solids and Structures, 2006, 43: 6594–6614.

    Article  MATH  Google Scholar 

  4. Melan E. Theorie statisch unbestimmter systeme aus ideal-plastischem baustoff [J]. Sitzungsbericht der Akademie der Wissenschaften in Wien, 1938, 195: 145–195.

    Google Scholar 

  5. Koiter W T. General theorems for elastic-plastic solids [C]// Progress in Solid Mechanics. Amsterdam: North-Holland Pub Co, 1960: 165–221.

    Google Scholar 

  6. Sharp R W, Booker J R. Shakedown of pavements under moving surface loads [J]. Journal of Transportation Engineering, 1984, 110: 1–14.

    Article  Google Scholar 

  7. Yu H S, Hossain M Z. Lower bound shakedown analysis of layered pavements using discontinuous stress fields [J]. Computer Methods in Applied Mechanics and Engineering, 1998, 167: 209–222.

    Article  MATH  Google Scholar 

  8. Li H X. Kinematic shakedown analysis under a general yield condition with non-associated plastic flow [J]. International Journal of Mechanical Sciences, 2010, 52: 1–12.

    Article  Google Scholar 

  9. Krabbenhoft K, Lyamin A V, Sloan S W. Shakedown of a cohesive-frictional half-space subjected to rolling and sliding contact [J].International Journal of Solids and Structures, 2007, 44: 3998–4008.

    Article  Google Scholar 

  10. Nguyen A D, Hachemi A, Weichert D. Application of the interior-point method to shakedown analysis of pavements [J]. International Journal for Numerical Methods in Engineering, 2008, 75: 414–439.

    Article  Google Scholar 

  11. Deng C J, He G J, Zheng Y R. Studies on Drucker-Prager yield criterions based on M-C yield criterion and application in geotechnical engineering [J]. Chinese Journal of Geotechnical Engineering, 2006, 28(6): 735–739 (in Chinese).

    Google Scholar 

  12. Boulbibane M, Weichert D. Application of shakedown theory to soils with non associated flow rules [J]. Mechanics Research Communications, 1997, 24(5): 513–519.

    Article  MATH  MathSciNet  Google Scholar 

  13. Feng X Q, Gross D. A global/local shakedown analysis method of elastoplastic cracked structures [J]. Engineering Fracture Mechanics, 1999, 63(2): 179–192.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yang Sun  (孙 阳).

Additional information

Foundation item: the National High Technology Research and Development Program (863) of China (No. 2006AA09A103) and the Shanghai Leading Academic Discipline Project (No. B208)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sun, Y., Shen, Sl. & Zhao, Jl. Influence of material properties on analysis and design of pavements using shakedown theory. J. Shanghai Jiaotong Univ. (Sci.) 15, 329–333 (2010). https://doi.org/10.1007/s12204-010-1012-4

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12204-010-1012-4

Key words

CLC number

Navigation