首页|A stable implicit nodal integration-based particle finite element method(N-PFEM)for modelling saturated soil dynamics

A stable implicit nodal integration-based particle finite element method(N-PFEM)for modelling saturated soil dynamics

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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 satu-rated soil dynamics.

Particle finite element methodNodal integrationDynamic saturated mediaSecond-order cone programming(SOCP)

Liang Wang、Xue Zhang、Jingjing Meng、Qinghua Lei

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Department of Earth Sciences,ETH Zürich,Zürich,8092,Switzerland

Department of Civil Engineering and Industrial Design,University of Liverpool,Liverpool,L69 3BX,UK

Department of Civil,Environmental and Natural Resources Engineering,Luleå University of Technology,Luleå,97187,Sweden

Department of Earth Sciences,Uppsala University,Uppsala,75105,Sweden

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Swiss National Science Foundation国家自然科学基金New Investigator Award grant from the UK Engineering and Physical Sciences Research Council

18988241961134032EP/V012169/1

2024

10.1016/j.jrmge.2023.11.016

岩石力学与岩土工程学报(英文版)
中国科学院武汉岩土力学所中国岩石力学与工程学会武汉大学

岩石力学与岩土工程学报(英文版)

CSTPCD
影响因子：0.404
ISSN：1674-7755
年,卷(期)：2024.16(6)