Three-dimensional shakedown solutions for cross-anisotropic cohesive-frictional materials under moving loads

Hai Sui Yu, Juan Wang, Shu Liu

Research output: Chapter in Book/Conference proceedingBook Chapterpeer-review

4 Citations (Scopus)


Based onMelan’s lower-bound shakedown theorem, shakedown analysis of cross-anisotropic cohesive-frictional materials under three-dimensional moving Hertz loads is presented. The material behaviour is characterised by a generalised Mohr-Coulomb criterion. By means of a critical self-equilibrated residual stress field, rigorous lower-bound shakedown solutions can be obtained through a simple optimisation procedure. Influences of both elastic anisotropy and plastic anisotropy are investigated. And shakedown solutions for a two-layered pavement system with cross-anisotropic materials are also presented. Results imply that pavement design based on the isotropic assumption may result in unsafe design against rutting.

Original languageEnglish
Title of host publicationDirect Methods for Limit and Shakedown Analysis of Structures
Subtitle of host publicationAdvanced Computational Algorithms and Material Modelling
PublisherSpringer International Publishing
Number of pages15
ISBN (Electronic)9783319129280
ISBN (Print)9783319129273
Publication statusPublished - 1 Jan 2015


  • Cross-anisotropic
  • Layered pavements
  • Mohr-Coulomb criterion
  • Shakedown

ASJC Scopus subject areas

  • General Computer Science
  • General Engineering
  • General Materials Science


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