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). pp. 331-348. ISSN 0363-9061
Abstract
Previous work on three-dimensional shakedown analysis of cohesive-frictional materials under moving surface loads has been entirely for isotropic materials. As a result, the effects of anisotropy, both elastic and plastic, of soil and pavement materials are ignored. This paper will, for the first time, develop three-dimensional shakedown solutions to allow for the variation of elastic and plastic material properties with direction. Melan's lower-bound shakedown theorem is used to derive shakedown solutions. In particular, a generalised, anisotropic Mohr–Coulomb yield criterion and cross-anisotropic elastic stress fields are utilised to develop anisotropic shakedown solutions. It is found that shakedown solutions for anisotropic materials are dominated by Young's modulus ratio for the cases of subsurface failure and by shear modulus ratio for the cases of surface failure. Plastic anisotropy is mainly controlled by material cohesion ratio, the rise of which increases the shakedown limit until a maximum value is reached. The anisotropic shakedown limit varies with frictional coefficient, and the peak value may not occur for the case of normal loading only.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | Copyright (c) 2013 John Wiley & Sons, Ltd. This is the peer reviewed version of the following article: Three-dimensional shakedown solutions for anisotropic cohesive-frictional materials under moving surface loads, which has been published in final form at https://doi.org/10.1002/nag.2207. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving. |
Keywords: | shakedown analysis; Mohr–Coulomb criterion; cross-anisotropy; plastic a nisotropy; |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Civil Engineering (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 12 Mar 2018 12:10 |
Last Modified: | 13 Mar 2018 01:06 |
Status: | Published |
Publisher: | Wiley |
Identification Number: | 10.1002/nag.2207 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:124073 |