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A formulation of thickness optimization for plane stress

A formulation of thickness optimization for plane stress
A formulation of thickness optimization for plane stress
Thickness optimization can be considered as a case of sizing optimization for plane structures. It can
also be used as an intermediate step for topology problems, i.e. we can eliminate the parts where the
thickness tends to be zero. This paper is concerned with the case of plane stress structures coupled with
the finite element method. The aim is to present a formulation of this problem as a case of second-order
cone programming which is a standard form of mathematical programming. The advantage is that,
on the one hand, all that the engineer has to do is to compute elemental data, and on the other, large
discretized structures can be optimized accurately due to the efficiency of the proposed formulation.
Different types of elements regarding the thickness field are considered.
Thickness optimization, Second-order cone programming, Plane stress
319-322
Makrodimopoulos, A.
ba87ad2d-2351-4bd4-bd22-de921b3a8070
Bhaskar, A.
d4122e7c-5bf3-415f-9846-5b0fed645f3e
Keane, A.J.
26d7fa33-5415-4910-89d8-fb3620413def
Makrodimopoulos, A.
ba87ad2d-2351-4bd4-bd22-de921b3a8070
Bhaskar, A.
d4122e7c-5bf3-415f-9846-5b0fed645f3e
Keane, A.J.
26d7fa33-5415-4910-89d8-fb3620413def

Makrodimopoulos, A., Bhaskar, A. and Keane, A.J. (2009) A formulation of thickness optimization for plane stress. 17th UK Conference on Computational Mechanics (ACME-UK), Nottingham, UK. 06 - 08 Apr 2009. pp. 319-322 .

Record type: Conference or Workshop Item (Paper)

Abstract

Thickness optimization can be considered as a case of sizing optimization for plane structures. It can
also be used as an intermediate step for topology problems, i.e. we can eliminate the parts where the
thickness tends to be zero. This paper is concerned with the case of plane stress structures coupled with
the finite element method. The aim is to present a formulation of this problem as a case of second-order
cone programming which is a standard form of mathematical programming. The advantage is that,
on the one hand, all that the engineer has to do is to compute elemental data, and on the other, large
discretized structures can be optimized accurately due to the efficiency of the proposed formulation.
Different types of elements regarding the thickness field are considered.

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More information

Published date: April 2009
Venue - Dates: 17th UK Conference on Computational Mechanics (ACME-UK), Nottingham, UK, 2009-04-06 - 2009-04-08
Keywords: Thickness optimization, Second-order cone programming, Plane stress

Identifiers

Local EPrints ID: 69907
URI: http://eprints.soton.ac.uk/id/eprint/69907
PURE UUID: 0e4ff146-aa7e-44b7-a7a9-8b6c49c0bf6e
ORCID for A.J. Keane: ORCID iD orcid.org/0000-0001-7993-1569

Catalogue record

Date deposited: 10 Dec 2009
Last modified: 14 Mar 2024 02:39

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Contributors

Author: A. Makrodimopoulos
Author: A. Bhaskar
Author: A.J. Keane ORCID iD

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