Structural optimisation based on the boundary element and level set methods

Ullah, B.; Trevelyan, J.; Matthews, P.C.

doi:10.1016/j.compstruc.2014.01.004

Structural optimisation based on the boundary element and level set methods

Ullah, B.; Trevelyan, J.; Matthews, P.C.

Authors

B. Ullah

Professor Jon Trevelyan jon.trevelyan@durham.ac.uk
Emeritus Professor

Dr Peter Matthews p.c.matthews@durham.ac.uk
Associate Professor

Abstract

A new method of structural topology optimisation is proposed in which an evolutionary approach is used with boundary element and level set methods. During the optimisation iterations, the proposed method automatically introduces internal cavities and does not rely on an initial guess topology with pre-existing holes. The zero level set contours describing both the external geometry and the internal cavities are converted to non-uniform rational B-splines (NURBS) for smooth boundary element meshing at each iteration. The optimal geometries generated by the proposed method for two-dimensional cases closely resemble to those available in the literature for a range of benchmark examples in the field of topology optimisation.

Citation

Ullah, B., Trevelyan, J., & Matthews, P. (2014). Structural optimisation based on the boundary element and level set methods. Computers and Structures, 137, 14-30. https://doi.org/10.1016/j.compstruc.2014.01.004

Journal Article Type	Article
Acceptance Date	Jan 2, 2014
Online Publication Date	Feb 5, 2014
Publication Date	Jun 1, 2014
Deposit Date	May 15, 2014
Publicly Available Date	May 29, 2014
Journal	Computers and Structures
Print ISSN	0045-7949
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	137
Pages	14-30
DOI	https://doi.org/10.1016/j.compstruc.2014.01.004
Keywords	Structural optimisation, Boundary element method, Level set method, NURBS.

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Copyright Statement
NOTICE: this is the author’s version of a work that was accepted for publication in Computers & Structures. 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 Computers & Structures, 137, 2014, 10.1016/j.compstruc.2014.01.004.