Wang, Liang, Zhang, Xue 
ORCID: 0000-0002-0892-3665, Meng, Jingjing and Lei, Qinghua
(2024)
A stable implicit nodal integration-based particle finite element method (N-PFEM) for modelling saturated soil dynamics.
Journal of Rock Mechanics and Geotechnical Engineering.
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Abstract
In this study, we present a novel nodal integration-based particle finite element method (N-PFEM) designed for the dynamic analysis of saturated soils. Our approach incorporates the nodal integration technique into a generalised Hellinger-Reissner (HR) variational principle, creating an implicit PFEM formulation. To mitigate the volumetric locking issue in low-order elements, we employ a node-based strain smoothing technique. By discretising field variables at the centre of smoothing cells, we achieve nodal integration over cells, eliminating the need for sophisticated mapping operations after re-meshing in the PFEM. We express the discretised governing equations as a min-max optimisation problem, which is further reformulated as a standard second-order cone programming (SOCP) problem. Stresses, pore water pressure, and displacements are simultaneously determined using the advanced primal-dual interior point method. Consequently, our numerical model offers improved accuracy for stresses and pore water pressure compared to the displacement-based PFEM formulation. Numerical experiments demonstrate that the N-PFEM efficiently captures both transient and long-term hydro-mechanical behaviour of saturated soils with high accuracy, obviating the need for stabilisation or regularisation techniques commonly employed in other nodal integration-based PFEM approaches. This work holds significant implications for the development of robust and accurate numerical tools for studying saturated soil dynamics.
| Item Type: | Article |
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| Divisions: | Faculty of Science and Engineering > School of Engineering |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 25 Jan 2024 08:39 |
| Last Modified: | 30 Jan 2024 10:24 |
| DOI: | 10.1016/j.jrmge.2023.11.016 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3177993 |
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