Second-order cone programming formulation for consolidation analysis of saturated porous media

Zhang, X; Sheng, D; Sloan, SW; Krabbenhoft, K

Second-order cone programming formulation for consolidation analysis of saturated porous media

Zhang, X Sheng, D

Sloan, SW Krabbenhoft, K

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Publisher:: SPRINGER
Publication Type:: Journal Article
Citation:: Computational Mechanics, 2016, 58, (1), pp. 29-43
Issue Date:: 2016-07-01

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Field	Value	Language
dc.contributor.author	Zhang, X
dc.contributor.author	Sheng, D https://orcid.org/0000-0002-1665-6931
dc.contributor.author	Sloan, SW
dc.contributor.author	Krabbenhoft, K
dc.date.accessioned	2022-08-12T22:42:35Z
dc.date.available	2022-08-12T22:42:35Z
dc.date.issued	2016-07-01
dc.identifier.citation	Computational Mechanics, 2016, 58, (1), pp. 29-43
dc.identifier.issn	0178-7675
dc.identifier.issn	1432-0924
dc.identifier.uri	http://hdl.handle.net/10453/160054
dc.description.abstract	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. Themin-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 primaldual 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.
dc.language	English
dc.publisher	SPRINGER
dc.relation.ispartof	Computational Mechanics
dc.relation.isbasedon	10.1007/s00466-016-1280-4
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0905 Civil Engineering, 0913 Mechanical Engineering, 0915 Interdisciplinary Engineering
dc.subject.classification	Applied Mathematics
dc.title	Second-order cone programming formulation for consolidation analysis of saturated porous media
dc.type	Journal Article
utslib.citation.volume	58
utslib.for	0905 Civil Engineering
utslib.for	0913 Mechanical Engineering
utslib.for	0915 Interdisciplinary Engineering
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Civil and Environmental Engineering
utslib.copyright.status	closed_access	*
dc.date.updated	2022-08-12T22:42:33Z
pubs.issue	1
pubs.publication-status	Published
pubs.volume	58
utslib.citation.issue	1

Abstract:

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. Themin-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 primaldual 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.

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http://hdl.handle.net/10453/160054