Computational formulation of shakedown analysis as a conic quadratic optimization problem
Computational formulation of shakedown analysis as a conic quadratic optimization problem
In the analysis of shakedown problems that have been discretized by means of the finite element method, large and sparse optimization problems are generated. The purpose of this paper is to provide the details of how such a problem can be cast in the form of a conic quadratic optimization problem, making use of Melan’s static theorem. An effective algorithm for the solution of the optimization problem is proposed.
Shakedown, plasticity, conic quadratic optimization, second-order cone programming, large sparse optimization
72-83
Makrodimopoulos, Athanasios
ba87ad2d-2351-4bd4-bd22-de921b3a8070
2006
Makrodimopoulos, Athanasios
ba87ad2d-2351-4bd4-bd22-de921b3a8070
Makrodimopoulos, Athanasios
(2006)
Computational formulation of shakedown analysis as a conic quadratic optimization problem.
Mechanics Research Communications, 33 (1), .
(doi:10.1016/j.mechrescom.2004.10.014).
Abstract
In the analysis of shakedown problems that have been discretized by means of the finite element method, large and sparse optimization problems are generated. The purpose of this paper is to provide the details of how such a problem can be cast in the form of a conic quadratic optimization problem, making use of Melan’s static theorem. An effective algorithm for the solution of the optimization problem is proposed.
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Published date: 2006
Keywords:
Shakedown, plasticity, conic quadratic optimization, second-order cone programming, large sparse optimization
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Local EPrints ID: 48051
URI: http://eprints.soton.ac.uk/id/eprint/48051
ISSN: 0093-6413
PURE UUID: 315f9795-4e8a-4c4e-a8e4-577ac9748f69
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Date deposited: 06 Sep 2007
Last modified: 15 Mar 2024 09:42
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Author:
Athanasios Makrodimopoulos
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