Topology optimisation for stress using level set method

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish
Title of host publication56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Electronic)9781624103421
DOIs
Publication statusPublished - 2015
Event56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 2015 - Kissimmee, United States
Duration: 5 Jan 20159 Jan 2015

Conference

Conference56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 2015
CountryUnited States
CityKissimmee
Period5/01/159/01/15

Fingerprint

Shape optimization
Derivatives

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Architecture
  • Mechanics of Materials
  • Building and Construction

Cite this

Brampton, C. J., Dunning, P. D., & 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.. https://doi.org/10.2514/6.2015-0140

Topology optimisation for stress using level set method. / Brampton, Christopher J.; Dunning, Peter D.; Alicia Kim, H.

56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. American Institute of Aeronautics and Astronautics Inc., 2015.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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
Brampton CJ, Dunning PD, Alicia Kim H. 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. 2015 https://doi.org/10.2514/6.2015-0140
Brampton, Christopher J. ; Dunning, Peter D. ; Alicia Kim, H. / Topology optimisation for stress using level set method. 56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. American Institute of Aeronautics and Astronautics Inc., 2015.
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