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Second order cone programming approaches to static shakedown analysis in steel plasticity

Second order cone programming approaches to static shakedown analysis in steel plasticity
Second order cone programming approaches to static shakedown analysis in steel plasticity
The finite element method discretized static shakedown analysis of steel constructions leads to large, sparse convex optimization problems. Under the von Mises yield criterion, they lead to second-order cone programming problems, for which the most appropriate techniques are Interior Point Methods. Various approaches exploiting the specific characteristics of the shakedown problems are presented and discussed.
shakedown, plasticity, second-order cone programming, large sparse optimization, FEM
1055-6788
25-52
Bisbos, C.D.
5f282abb-52dd-4027-92cd-2ddbc1ae3ac9
Makrodimopoulos, A.
ba87ad2d-2351-4bd4-bd22-de921b3a8070
Pardalos, P.M.
0e18717c-64c6-4e46-ab79-d5bb6e9f5fd5
Bisbos, C.D.
5f282abb-52dd-4027-92cd-2ddbc1ae3ac9
Makrodimopoulos, A.
ba87ad2d-2351-4bd4-bd22-de921b3a8070
Pardalos, P.M.
0e18717c-64c6-4e46-ab79-d5bb6e9f5fd5

Bisbos, C.D., Makrodimopoulos, A. and Pardalos, P.M. (2005) Second order cone programming approaches to static shakedown analysis in steel plasticity. Optimization Methods and Software, 20 (1), 25-52. (doi:10.1080/1055678042000216003).

Record type: Article

Abstract

The finite element method discretized static shakedown analysis of steel constructions leads to large, sparse convex optimization problems. Under the von Mises yield criterion, they lead to second-order cone programming problems, for which the most appropriate techniques are Interior Point Methods. Various approaches exploiting the specific characteristics of the shakedown problems are presented and discussed.

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More information

Published date: February 2005
Keywords: shakedown, plasticity, second-order cone programming, large sparse optimization, FEM

Identifiers

Local EPrints ID: 48050
URI: http://eprints.soton.ac.uk/id/eprint/48050
ISSN: 1055-6788
PURE UUID: 4f75ff0f-14af-4028-9114-1470a20a37fb

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Date deposited: 06 Sep 2007
Last modified: 13 Mar 2019 20:57

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