- Title
- Second-order cone programming formulation for consolidation analysis of saturated porous media
- Creator
- Zhang, Xue; Sheng, Daichao; Sloan, Scott W.; Krabbenhoft, Kristian
- Relation
- ARC.DP150104257 http://purl.org/au-research/grants/arc/DP150104257
- Relation
- Computational Mechanics Vol. 58, Issue 1, p. 29-43
- Publisher Link
- http://dx.doi.org/10.1007/s00466-016-1280-4
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2016
- Description
- In this paper, the incremental problem for consolidation analysis of elastoplastic saturated porous media is formulated and solved using second-order cone programming. This is achieved by the application of the Hellinger-Reissner variational theorem, which casts the governing equations of Biot’s consolidation theory as a min–max optimisation problem. The min–max problem is then discretised using the finite element method and converted into a standard second-order cone programming problem that can be solved efficiently using modern optimisation algorithms (such as the primal-dual interior-point method). The proposed computational formulation is verified against a number of benchmark examples and also applied to simulate the construction of a road embankment on soft clay.
- Subject
- saturated porous media; consolidation; second-order cone programming; mathematical programming
- Identifier
- http://hdl.handle.net/1959.13/1346548
- Identifier
- uon:29886
- Identifier
- ISSN:0178-7675
- Language
- eng
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