Nonlocal regularization of an anisotropic critical state model for sand

Gao, Z. , Li, X. and Lu, D. (2021) Nonlocal regularization of an anisotropic critical state model for sand. Acta Geotechnica, (doi: 10.1007/s11440-021-01236-3) (Early Online Publication)

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Abstract

Many advanced constitutive models which can capture the strain-softening and state-dependent dilatancy response of sand have been developed. These models can give good prediction of the single soil element behaviour under various loading conditions. But the solution will be highly mesh-dependent when they are used in real boundary value problems due to the strain-softening. They can give mesh-dependent strain localization pattern and bearing capacity of foundations on sand. Nonlocal regularization of an anisotropic critical state sand model is presented. The evolution of void ratio which has a significant influence on strain-softening is assumed to depend on the volumetric strain increment of both the local and neighbouring integration points. The regularization method has been implemented using the explicit stress integration method. The nonlocal model has been used in simulating both drained plane strain compression and the response of a strip footing on dry sand. In plane strain compression, mesh-independent results for the force–displacement relationship and shear band thickness can be obtained when the mesh size is smaller than the internal length. The force–displacement relationship of strip footings predicted by the nonlocal model is much less mesh-sensitive than the local model prediction. The strain localization under the strip footing predicted by the nonlocal model is mesh independent. The regularization method is thus proper for application in practical geotechnical engineering problems.

Item Type:Articles
Status:Early Online Publication
Refereed:Yes
Glasgow Author(s) Enlighten ID:Li, Xin and Gao, Dr Zhiwei
Authors: Gao, Z., Li, X., and Lu, D.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Acta Geotechnica
Publisher:Springer
ISSN:1861-1125
ISSN (Online):1861-1133
Published Online:26 May 2021
Copyright Holders:Copyright © 2021 The Authors
First Published:First published in Acta Geotechnica 2021
Publisher Policy:Reproduced under a Creative Commons License

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