Nodal integration-based particle finite element method (N-PFEM) for poro-elastoplastic modelling of saturated soils under large deformation

Wang, Liang, Zhang, Xue ORCID: 0000-0002-0892-3665, Geng, Xueyu and Lei, Qinghua (2023) Nodal integration-based particle finite element method (N-PFEM) for poro-elastoplastic modelling of saturated soils under large deformation. Computers and Geotechnics, 161. p. 105567.

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Official URL: http://dx.doi.org/10.1016/j.compgeo.2023.105567

Abstract

This paper presents the nodal integration-based particle finite element method (N-PFEM) for poro-elastoplastic analysis of saturated soils subject to large deformation, utilising the generalised Hellinger-Reissner variational principle to reformulate the governing equations for saturated soil dynamics into a min–max optimisation problem. With finite element discretisation and nodal integration over cells, the problem is transformed into a standard second-order cone programming problem, efficiently resolved using the advanced primal–dual interior point method. The N-PFEM method has several advantages, including the use of linear triangular elements without volumetric locking issues, the avoidance of regularisation techniques, and the elimination of tedious variable mapping after remeshing. The numerical model is validated for large deformation analysis of saturated soils with a series of benchmarks against available analytical and numerical solutions, with a case study of the deformation of an embankment considering stone column reinforcement also carried out. This N-PFEM framework offers an effective and efficient simulation approach for the evolutionary behaviour of saturated soils with large deformation in complex geotechnical configurations of practical relevance.

Item Type:	Article
Uncontrolled Keywords:	Saturated soils, N-PFEM, Second order cone programming, Effective stress analysis
Divisions:	Faculty of Science and Engineering > School of Engineering
Depositing User:	Symplectic Admin
Date Deposited:	20 Jun 2023 09:48
Last Modified:	05 Aug 2023 13:45
DOI:	10.1016/j.compgeo.2023.105567
Open Access URL:	https://doi.org/10.1016/j.compgeo.2023.105567
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3171139