A short survey: topological shape optimization of structures using level set methods

Luo, Z

A short survey: topological shape optimization of structures using level set methods

Luo, Z

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Publisher:: OMICS Group Inc
Publication Type:: Journal Article
Citation:: Luo, Zhen 2013, 'A short survey: topological shape optimization of structures using level set methods', Journal of Applied Mechanical Engineering, vol. 2, no. 2, pp. 1000123.1-1000123.5.
Issue Date:: 2013

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Field	Value	Language
dc.contributor.author	Luo, Z	en_US
dc.date.accessioned	2014-04-03T01:23:47Z
dc.date.available	2014-04-03T01:23:47Z
dc.date.issued	2013	en_US
dc.identifier	2012002809	en_US
dc.identifier.citation	Luo, Zhen 2013, 'A short survey: topological shape optimization of structures using level set methods', Journal of Applied Mechanical Engineering, vol. 2, no. 2, pp. 1000123.1-1000123.5.	en_US
dc.identifier.issn	2168-9873	en_US
dc.identifier.other	C1	en_US
dc.identifier.uri	http://hdl.handle.net/10453/23069
dc.description.abstract	This paper will give a short survey about topology optimization of structures. It is particularly focused on topological shape optimization of structures using level-set methods, including the level-set based standard methods and the level-set based alternative methods. The former often directly solve the Hamilton-Jacobi partial differential equation (H-J PDE) to obtain the boundary velocity field using Finite Differential Methods (FDM), and the later commonly employ parametric or equivalent methods to evaluate the velocity field without directly solving the H-J PDE. The unique characteristics of the level-set based topology optimization methods are discussed, and a future perspective and prospects in this research area is also included. A benchmark numerical example is used to showcase the effectiveness of the level-set based methods.	en_US
dc.language	English	en_US
dc.publisher	OMICS Group Inc	en_US
dc.relation.ispartof	Journal of Applied Mechanical Engineering	en_US
dc.relation.ispartof	Verified OK	en_US
dc.relation.isbasedon	http://dx.doi.org/10.4172/2168-9873.1000123	en_US
dc.subject	Topology optimization; Level set methods; Structures	en_US
dc.subject.classification	Mechanical Engineering	en_US
dc.title	A short survey: topological shape optimization of structures using level set methods	en_US
dc.type	Journal article
utslib.citation.volume	2	en_US
utslib.citation.number	2	en_US
utslib.location	Henderson, NV 89074-7722, USA	en_US
utslib.citation.startpage	1000123.1	en_US
utslib.citation.endpage	1000123.5	en_US
utslib.identifier.org	FEIT.School of Elec, Mech and Mechatronic Systems	en_US
utslib.for	091300	en_US
utslib.percentage	100	en_US
utslib.copyright.status	open_access

Abstract:

This paper will give a short survey about topology optimization of structures. It is particularly focused on topological shape optimization of structures using level-set methods, including the level-set based standard methods and the level-set based alternative methods. The former often directly solve the Hamilton-Jacobi partial differential equation (H-J PDE) to obtain the boundary velocity field using Finite Differential Methods (FDM), and the later commonly employ parametric or equivalent methods to evaluate the velocity field without directly solving the H-J PDE. The unique characteristics of the level-set based topology optimization methods are discussed, and a future perspective and prospects in this research area is also included. A benchmark numerical example is used to showcase the effectiveness of the level-set based methods.

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http://hdl.handle.net/10453/23069