首页|Nonlocal strain regularisation for models with multiple state variables using an example of UH model
Nonlocal strain regularisation for models with multiple state variables using an example of UH model
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NETL
NSTL
Elsevier
When the conventional finite element (FE) method is used in the simulation of strain-softening soils and the accompanying appearance of shear bands, the predicted results can exhibit a significant mesh dependency and may suffer from convergence difficulties. Nonlocal strain regularisation has been shown as one of the reliable approaches for overcoming such problems. This paper first demonstrates how a modified substepping stress point algorithm, that incorporates the nonlocal strain regularisation, can be developed for constitutive models which have multiple state variables in their hardening/softening rule. The algorithm is derived for the unified hardening (UH) model as an example of such models, which was developed to account for the constitutive characteristics of both clays and sands. The capability of the nonlocal UH model is then verified through analyses of boundary value problems involving dense sands, demonstrating a very good performance in eliminating the problem of mesh dependency while maintaining a stable solution process. Recommendations are also provided on how to determine the values of nonlocal parameters for the analysis of full-scale engineering problems using the proposed nonlocal algorithm.
Finite element methodStrain-softening soilsUH modelNonlinear solution algorithmNonlocal methodPLANE-STRAINLOCALIZATIONINTEGRATION
Wu, Xiaotian、Yao, Yangping、Dong, Liang、Potts, David M.、Zdravkovic, Lidija、Cui, Wenjie
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Beihang University School of Transportation Science and Engineering
Imperial College London Department of Civil and Environmental Engineering
NETL
NSTL
Elsevier
