Topology optimisation for stress using level set method

Christopher J. Brampton; Peter D. Dunning; H. Alicia Kim

doi:10.2514/6.2015-0140

Topology optimisation for stress using level set method

Christopher J. Brampton, Peter D. Dunning, H. Alicia Kim

Engineering

University of Bath

Research output: Chapter in Book/Report/Conference proceeding › Published conference contribution

2 Citations (Scopus)

Abstract

This paper presents a level set topology optimisation method for stress. The formulation for shape derivatives is derived and used to establish the level set optimisation method. A new hole insertion method is developed and implemented in the level set method. The method is applied to optimise two numerical problems: One is the well-known L-beam problem and the other is the Michell simply supported beam. The stress-based optimum solutions to these problems are studied.

Original language	English
Title of host publication	56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
Publisher	American Institute of Aeronautics and Astronautics Inc.
ISBN (Electronic)	9781624103421
DOIs	https://doi.org/10.2514/6.2015-0140
Publication status	Published - 2015
Event	56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 2015 - Kissimmee, United States Duration: 5 Jan 2015 → 9 Jan 2015

Conference

Conference	56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 2015
Country/Territory	United States
City	Kissimmee
Period	5/01/15 → 9/01/15

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Brampton, CJ, Dunning, PD & Alicia Kim, H 2015, Topology optimisation for stress using level set method. in 56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. American Institute of Aeronautics and Astronautics Inc., 56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 2015, Kissimmee, United States, 5/01/15. https://doi.org/10.2514/6.2015-0140

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title = "Topology optimisation for stress using level set method",

abstract = "This paper presents a level set topology optimisation method for stress. The formulation for shape derivatives is derived and used to establish the level set optimisation method. A new hole insertion method is developed and implemented in the level set method. The method is applied to optimise two numerical problems: One is the well-known L-beam problem and the other is the Michell simply supported beam. The stress-based optimum solutions to these problems are studied.",

author = "Brampton, {Christopher J.} and Dunning, {Peter D.} and {Alicia Kim}, H.",

year = "2015",

doi = "10.2514/6.2015-0140",

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booktitle = "56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference",

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AU - Dunning, Peter D.

AU - Alicia Kim, H.

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N2 - This paper presents a level set topology optimisation method for stress. The formulation for shape derivatives is derived and used to establish the level set optimisation method. A new hole insertion method is developed and implemented in the level set method. The method is applied to optimise two numerical problems: One is the well-known L-beam problem and the other is the Michell simply supported beam. The stress-based optimum solutions to these problems are studied.

AB - This paper presents a level set topology optimisation method for stress. The formulation for shape derivatives is derived and used to establish the level set optimisation method. A new hole insertion method is developed and implemented in the level set method. The method is applied to optimise two numerical problems: One is the well-known L-beam problem and the other is the Michell simply supported beam. The stress-based optimum solutions to these problems are studied.

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DO - 10.2514/6.2015-0140

M3 - Published conference contribution

AN - SCOPUS:84937900727

BT - 56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

PB - American Institute of Aeronautics and Astronautics Inc.

T2 - 56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 2015

Y2 - 5 January 2015 through 9 January 2015

ER -

Topology optimisation for stress using level set method

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