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Correlation between hole insertion criteria in a boundary element and level set based topology optimisation method

Ullah, B.; Trevelyan, J.

Correlation between hole insertion criteria in a boundary element and level set based topology optimisation method Thumbnail


Authors

B. Ullah



Abstract

The research work presented in this paper is based on the correlation between two hole insertion criteria in a boundary element method (BEM) and level set method (LSM) based structural topology optimisation scheme for 2D elastic problems. The hole insertion criteria used in this work are based on the von Mises stress and the topological derivative approaches. During the optimisation process holes are automatically inserted in the design domain using each of the two criteria. The LSM is used to provide an implicit description of the structural geometry, and is also capable of automatically handling topological changes, i.e. holes merging with each other or with the boundary. The evolving structural geometry (i.e. the zero level set contours) is represented by NURBS, providing a smooth geometry throughout the optimisation process and completely eliminate jagged edges. In addition the optimal NURBS geometry can be used directly in other design processes.Four different benchmark examples are considered in this study and each is tested against the two hole insertion criteria. The results obtained validate the proposed optimisation method and we demonstrate a clear correlation between the two hole insertion criteria.

Citation

Ullah, B., & Trevelyan, J. (2013). Correlation between hole insertion criteria in a boundary element and level set based topology optimisation method. Engineering Analysis with Boundary Elements, 37(11), 1457-1470. https://doi.org/10.1016/j.enganabound.2013.08.003

Journal Article Type Article
Publication Date Nov 1, 2013
Deposit Date Nov 13, 2013
Publicly Available Date Dec 3, 2013
Journal Engineering Analysis with Boundary Elements
Print ISSN 0955-7997
Electronic ISSN 1873-197X
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 37
Issue 11
Pages 1457-1470
DOI https://doi.org/10.1016/j.enganabound.2013.08.003
Keywords Structural optimisation, Boundary element method, Level set method, NURBS.
Public URL https://durham-repository.worktribe.com/output/1444655

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Copyright Statement
NOTICE: this is the author’s version of a work that was accepted for publication in Engineering analysis with boundary elements. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Engineering analysis with boundary elements, 37, 11, 2013, 10.1016/j.enganabound.2013.08.003





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