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A formulation for optimizing the young’s modulus of a structure

A formulation for optimizing the young’s modulus of a structure
A formulation for optimizing the young’s modulus of a structure
Young’s modulus optimization can be used as an intermediate step for topology problems. This can be achieved by eliminating the parts of a structure where the Young’s modulus tends to be zero. This paper is concerned with the case of the compliance method coupled with the finite element method.We present a formulation to turn this problem in a standard form of mathematical programming - in our case it is the second-order cone programming. The advantage here 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 due to the efficiency of the proposed formulation by the use of standard solvers.
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. (2010) A formulation for optimizing the young’s modulus of a structure. 18th UK Conference on Computational Mechanics (ACME-UK). 29 - 31 Mar 2010. 4 pp .

Record type: Conference or Workshop Item (Paper)

Abstract

Young’s modulus optimization can be used as an intermediate step for topology problems. This can be achieved by eliminating the parts of a structure where the Young’s modulus tends to be zero. This paper is concerned with the case of the compliance method coupled with the finite element method.We present a formulation to turn this problem in a standard form of mathematical programming - in our case it is the second-order cone programming. The advantage here 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 due to the efficiency of the proposed formulation by the use of standard solvers.

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Published date: 29 March 2010
Venue - Dates: 18th UK Conference on Computational Mechanics (ACME-UK), 2010-03-29 - 2010-03-31

Identifiers

Local EPrints ID: 148131
URI: http://eprints.soton.ac.uk/id/eprint/148131
PURE UUID: 6142f690-cd70-4d27-b543-13bf1f1de71a
ORCID for A.J. Keane: ORCID iD orcid.org/0000-0001-7993-1569

Catalogue record

Date deposited: 27 Apr 2010 15:15
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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