- Title
- A smoothed finite element method using second-order cone programming
- Creator
- Meng, Jingjing; Zhang, Xue; Huang, Jinsong; Tang, Hongxiang; Mattsson, Hans; Laue, Jan
- Relation
- Computers and Geotechnics Vol. 123, Issue July 2020, no. 103547
- Publisher Link
- http://dx.doi.org/10.1016/j.compgeo.2020.103547
- Publisher
- Elsevier
- Resource Type
- journal article
- Date
- 2020
- Description
- 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.
- Subject
- smoothed finite element method; convex programming; strain smoothing technique; second-order cone programming; contact problems
- Identifier
- http://hdl.handle.net/1959.13/1426180
- Identifier
- uon:38375
- Identifier
- ISSN:0266-352X
- Rights
- © 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/.
- Language
- eng
- Full Text
- Reviewed
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