A meshless level set method for shape and topology optimization

Wang, Y; Luo, Z

A meshless level set method for shape and topology optimization

Wang, Y Luo, Z

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Publication Type:: Journal Article
Citation:: Advanced Materials Research, 2011, 308-310 pp. 1046 - 1049
Issue Date:: 2011-10-03

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Field	Value	Language
dc.contributor.author	Wang, Y	en_US
dc.contributor.author	Luo, Z https://orcid.org/0000-0002-6953-3986	en_US
dc.date.issued	2011-10-03	en_US
dc.identifier.citation	Advanced Materials Research, 2011, 308-310 pp. 1046 - 1049	en_US
dc.identifier.isbn	9783037852132	en_US
dc.identifier.issn	1022-6680	en_US
dc.identifier.uri	http://hdl.handle.net/10453/18305
dc.description.abstract	This paper proposes a meshless Galerkin level set method for structural shape and topology optimization of continua. Design boundary is represented through the introduction of a scalar level set function as its zero level set. Compactly supported radial basis functions (CSRBFs) are used to parameterize level set function and construct the meshless shape functions. The meshless Galerkin global weak form is employed to implement the discretization of the state equations. This provides a pathway to simplify the numerical procedures in most conventional level set by unifying the two different stages just in terms of one set of scattered nodes. The proposed level set method has the capability of describing the implicit moving boundaries without remeshing for discontinuities. One benchmark example is used to demonstrate the effectiveness of the proposed method. © (2011) Trans Tech Publications, Switzerland.	en_US
dc.relation.ispartof	Advanced Materials Research	en_US
dc.relation.isbasedon	10.4028/www.scientific.net/AMR.308-310.1046	en_US
dc.title	A meshless level set method for shape and topology optimization	en_US
dc.type	Journal Article
utslib.citation.volume	308-310	en_US
utslib.for	0912 Materials Engineering	en_US
utslib.for	09 Engineering	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
utslib.copyright.status	closed_access
pubs.publication-status	Published	en_US
pubs.volume	308-310	en_US

Abstract:

This paper proposes a meshless Galerkin level set method for structural shape and topology optimization of continua. Design boundary is represented through the introduction of a scalar level set function as its zero level set. Compactly supported radial basis functions (CSRBFs) are used to parameterize level set function and construct the meshless shape functions. The meshless Galerkin global weak form is employed to implement the discretization of the state equations. This provides a pathway to simplify the numerical procedures in most conventional level set by unifying the two different stages just in terms of one set of scattered nodes. The proposed level set method has the capability of describing the implicit moving boundaries without remeshing for discontinuities. One benchmark example is used to demonstrate the effectiveness of the proposed method. © (2011) Trans Tech Publications, Switzerland.

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http://hdl.handle.net/10453/18305