Topological shape optimization of microstructural metamaterials using a level set method

Wang, Y; Luo, Z; Zhang, N; Kang, Z

Topological shape optimization of microstructural metamaterials using a level set method

Wang, Y

Luo, Z

Zhang, N

Kang, Z

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Publication Type:: Journal Article
Citation:: Computational Materials Science, 2014, 87 pp. 178 - 186
Issue Date:: 2014-05-01

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Field	Value	Language
dc.contributor.author	Wang, Y https://orcid.org/0000-0003-1813-7446	en_US
dc.contributor.author	Luo, Z https://orcid.org/0000-0002-6953-3986	en_US
dc.contributor.author	Zhang, N https://orcid.org/0000-0001-6408-0044	en_US
dc.contributor.author	Kang, Z	en_US
dc.date.issued	2014-05-01	en_US
dc.identifier.citation	Computational Materials Science, 2014, 87 pp. 178 - 186	en_US
dc.identifier.issn	0927-0256	en_US
dc.identifier.uri	http://hdl.handle.net/10453/33979
dc.identifier.uri	http://hdl.handle.net/10453/28404
dc.description.abstract	Metamaterials usually refer to artificial composite materials consisting of an array of periodically arranged microstructures, engineered to provide unusual material properties that may not be easily found in nature. This paper proposes a new topological shape optimization method for systematic computational design of a type of mechanical metamaterials with negative Poisson's ratios (auxetic materials), which integrates the numerical homogenization approach into a powerful parametric level set method (PLSM). The homogenization method is used to obtain the effective properties of the periodic microstructure, while the PLSM is applied to achieve shape evolutions and topological changes of the microstructure, until the desired material properties are achieved. The key concept of the PLSM is the interpolation of the implicit level set surface by using a given set of compactly supported radial basis functions (CSRBF), which are positioned at a number of given and fixed knots inside the design domain. Several typical numerical examples are used to demonstrate the favorable characteristics of the proposed method in the design of micro-structured metamaterials. © 2014 Elsevier B.V. All rights reserved.	en_US
dc.relation.ispartof	Computational Materials Science	en_US
dc.relation.isbasedon	10.1016/j.commatsci.2014.02.006	en_US
dc.subject.classification	Materials	en_US
dc.title	Topological shape optimization of microstructural metamaterials using a level set method	en_US
dc.type	Journal Article
utslib.citation.volume	87	en_US
utslib.for	0913 Mechanical Engineering	en_US
utslib.for	0204 Condensed Matter Physics	en_US
utslib.for	0205 Optical Physics	en_US
utslib.for	0912 Materials 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	87	en_US

Abstract:

Metamaterials usually refer to artificial composite materials consisting of an array of periodically arranged microstructures, engineered to provide unusual material properties that may not be easily found in nature. This paper proposes a new topological shape optimization method for systematic computational design of a type of mechanical metamaterials with negative Poisson's ratios (auxetic materials), which integrates the numerical homogenization approach into a powerful parametric level set method (PLSM). The homogenization method is used to obtain the effective properties of the periodic microstructure, while the PLSM is applied to achieve shape evolutions and topological changes of the microstructure, until the desired material properties are achieved. The key concept of the PLSM is the interpolation of the implicit level set surface by using a given set of compactly supported radial basis functions (CSRBF), which are positioned at a number of given and fixed knots inside the design domain. Several typical numerical examples are used to demonstrate the favorable characteristics of the proposed method in the design of micro-structured metamaterials. © 2014 Elsevier B.V. All rights reserved.

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http://hdl.handle.net/10453/28404