A smoothed finite element method using second-order cone programming



Meng, Jingjing, Zhang, Xue ORCID: 0000-0002-0892-3665, Huang, Jinsong, Tang, Hongxiang, Mattsson, Hans and Laue, Jan
(2020) A smoothed finite element method using second-order cone programming. Computers and Geotechnics, 123. p. 103547.

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Abstract

In this paper, a new approach abbreviated as SOCP-SFEM is developed for analysing geomechanical problems in elastoplasticity. The SOCP-SFEM combines a strain smoothing technique with the finite element method (FEM) in second-order cone programming (SOCP) and thereby inherits the advantages of both the smoothed finite element method (SFEM) and the SOCP-FEM. Specifically, the low-order mixed element can be used in the SOCP-SFEM without volumetric locking issues and the singularity associated with some typical constitutive models (e.g. the Mohr-Coulomb model and the Drucker-Prager model) is no longer a problem. In addition, the frictional and the cohesive-frictional interfaces can be implemented straightforward in the developed SOCP-SFEM owing to the adopted mixed variational principle and the smoothing technique. Furthermore, the multiple contact constraints, such as a cohesive interface with tension cut-off which is commonly used for analysing the bearing capacity of a pipeline buried in clays, can be simulated with little extra effort. To verify the correctness and robustness of the developed formulation for SOCP-SFEM, a series of benchmarks are considered where the simulation results are in good agreements with the analytical solutions and the reported numerical results.

Item Type: Article
Uncontrolled Keywords: Smoothed finite element method, Convex programming, Strain smoothing technique, Second-order cone programming, Contact problems
Depositing User: Symplectic Admin
Date Deposited: 14 May 2020 10:34
Last Modified: 18 Jan 2023 23:51
DOI: 10.1016/j.compgeo.2020.103547
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3087262