Nonlocal strain regularisation for critical state models with volumetric hardening
File(s)Cui et al. (2023) 157-105350.pdf (5.42 MB)
Published version
Author(s)
Cui, Wenjie
Wu, Xiaotian
Potts, David M
Zdravkovic, Lidija
Type
Journal Article
Abstract
The finite element (FE) method may suffer from numerical instability and mesh dependency when modelling the formation of shear bands using strain-softening constitutive models. Nonlocal methods have been shown to be capable of avoiding these numerical issues effectively. This paper proposes a novel generic algorithm for incorporating existing nonlocal methods into the FE formulation of elasto-plastic constitutive models with volumetric hardening laws. Using the example of the modified Cam Clay (MCC) model this paper shows that instabilities are inevitable if the nonlocal plastic volumetric strains are directly used to update the hardening parameter. The paper further proposes a robust regularisation algorithm to overcome this issue. This algorithm has been implemented into a bespoke FE code and its capability in significantly reducing mesh dependency while maintaining numerical stability is verified through a series of numerical analyses of biaxial compression tests for highly overconsolidated clays. The performance of various existing nonlocal methods is also critically assessed.
Date Issued
2023-05
Date Acceptance
2023-02-17
Citation
Computers and Geotechnics, 2023, 157, pp.1-10
ISSN
0266-352X
Publisher
Elsevier BV
Start Page
1
End Page
10
Journal / Book Title
Computers and Geotechnics
Volume
157
Copyright Statement
© 2023 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
License URL
Identifier
https://www.sciencedirect.com/science/article/pii/S0266352X23001076
Publication Status
Published
Article Number
105350
Date Publish Online
2023-03-02