Wang, Liang, Zhang, Xue 
ORCID: 0000-0002-0892-3665, Zhang, Sheng and Tinti, Stefano
(2021)
A generalized Hellinger-Reissner variational principle and its PFEM formulation for dynamic analysis of saturated porous media.
Computers and Geotechnics, 132.
p. 103994.
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Abstract
In this paper, a novel mathematical programming formulation is derived based on the u-p form for the dynamic analysis of saturated porous media. A mixed finite element is used for the interpolation of field variables and after discretization the formulation is remolded into a standard second-order cone programming problem that can be resolved using modern optimization engines. The proposed optimization-based computational scheme is verified against typical benchmarks such as the dynamic consolidation problem and the wave propagation in saturated soils. To tackle issues such as mesh distortions and severe free-surface evolutions resulting from large deformations, the scheme is further implemented into the PFEM framework. The capability of the proposed method for analyzing porous media with large deformations is illustrated by modelling the collapse of a saturated granular column in air and the post-failure process of an embankment due to seepage with results compared to the ones from lab tests and numerical simulations using other approaches such as the material point method and the smoothed particle hydrodynamics method.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Saturated porous media, Dynamic finite element analysis, Mathematical programming, Particle finite element method |
| Divisions: | Faculty of Science and Engineering > School of Engineering |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 17 May 2021 09:06 |
| Last Modified: | 18 Jan 2023 22:46 |
| DOI: | 10.1016/j.compgeo.2020.103994 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3123011 |
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