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

Hai Sui Yu; Juan Wang; Shu Liu

doi:10.1007/978-3-319-12928-0_15

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 proceeding › Book Chapter › peer-review

4 Citations (Scopus)

Abstract

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 language	English
Title of host publication	Direct Methods for Limit and Shakedown Analysis of Structures
Subtitle of host publication	Advanced Computational Algorithms and Material Modelling
Publisher	Springer International Publishing
Pages	299-313
Number of pages	15
ISBN (Electronic)	9783319129280
ISBN (Print)	9783319129273
DOIs	https://doi.org/10.1007/978-3-319-12928-0_15
Publication status	Published - 1 Jan 2015

Keywords

Cross-anisotropic
Layered pavements
Mohr-Coulomb criterion
Shakedown

ASJC Scopus subject areas

General Computer Science
General Engineering
General Materials Science

Access to Document

10.1007/978-3-319-12928-0_15

Cite this

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title = "Three-dimensional shakedown solutions for cross-anisotropic cohesive-frictional materials under moving loads",

abstract = "Based onMelan{\textquoteright}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.",

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Three-dimensional shakedown solutions for cross-anisotropic cohesive-frictional materials under moving loads. / Yu, Hai Sui; Wang, Juan ; Liu, Shu.
Direct Methods for Limit and Shakedown Analysis of Structures: Advanced Computational Algorithms and Material Modelling. Springer International Publishing, 2015. p. 299-313.

Research output: Chapter in Book/Conference proceeding › Book Chapter › peer-review

TY - CHAP

T1 - Three-dimensional shakedown solutions for cross-anisotropic cohesive-frictional materials under moving loads

AU - Yu, Hai Sui

AU - Wang, Juan

AU - Liu, Shu

PY - 2015/1/1

Y1 - 2015/1/1

N2 - 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.

AB - 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.

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KW - Layered pavements

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

Abstract

Keywords

ASJC Scopus subject areas

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