Level-set topology optimization for mechanical metamaterials under hybrid uncertainties

Wu, J; Luo, Z; Li, H; Zhang, N

Level-set topology optimization for mechanical metamaterials under hybrid uncertainties

Wu, J

Luo, Z

Li, H

Zhang, N

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Publication Type:: Journal Article
Citation:: Computer Methods in Applied Mechanics and Engineering, 2017, 319 pp. 414 - 441
Issue Date:: 2017-06-01

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	CMA_11359 (Corrected by Dr Zhen LUO 18-March-2017).pdf	Accepted Manuscript Version	5.4 MB	Adobe PDF	View/Open

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Field	Value	Language
dc.contributor.author	Wu, J https://orcid.org/0000-0002-4925-4242	en_US
dc.contributor.author	Luo, Z https://orcid.org/0000-0002-6953-3986	en_US
dc.contributor.author	Li, H https://orcid.org/0000-0003-4295-1288	en_US
dc.contributor.author	Zhang, N https://orcid.org/0000-0001-6408-0044	en_US
dc.date.issued	2017-06-01	en_US
dc.identifier.citation	Computer Methods in Applied Mechanics and Engineering, 2017, 319 pp. 414 - 441	en_US
dc.identifier.issn	0045-7825	en_US
dc.identifier.uri	http://hdl.handle.net/10453/88095
dc.description.abstract	© 2017 Elsevier B.V. This paper proposes a level set-based robust topology optimization (RTO) method for computational design of metamaterials under hybrid uncertainties, e.g. auxetics with negative Poisson's ratio, where the Young's modulus of the solid is described as a random variable while the Poisson's ratio is regarded as an interval variable. Firstly, the robust objective function is formulated by a combination of interval mean and interval variance of the deterministic objective function. Secondly, the interval mean and interval variance are computed by a hybrid uncertain analysis approach, termed as Polynomial Chaos-Chebyshev Interval (PCCI) method. Thirdly, the design sensitivities of the robust objective function are obtained after the implementation of the PCCI method. Finally, a powerful parametric level set method (PLSM) in conjunction with the numerical homogenization method is applied to achieve the robust topological design for the auxetic microstructure. Several numerical cases are used to demonstrate the effectiveness of the proposed method for the robust topology optimization problems. This method is non-intrusive and general, and can be easily extended to a range of design problems of micro-structured metamaterials.	en_US
dc.relation	http://purl.org/au-research/grants/arc/DP160102491
dc.relation.ispartof	Computer Methods in Applied Mechanics and Engineering	en_US
dc.relation.isbasedon	10.1016/j.cma.2017.03.002	en_US
dc.subject.classification	Applied Mathematics	en_US
dc.title	Level-set topology optimization for mechanical metamaterials under hybrid uncertainties	en_US
dc.type	Journal Article
utslib.citation.volume	319	en_US
utslib.for	091307 Numerical Modelling and Mechanical Characterisation	en_US
utslib.for	01 Mathematical Sciences	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	319	en_US

Abstract:

© 2017 Elsevier B.V. This paper proposes a level set-based robust topology optimization (RTO) method for computational design of metamaterials under hybrid uncertainties, e.g. auxetics with negative Poisson's ratio, where the Young's modulus of the solid is described as a random variable while the Poisson's ratio is regarded as an interval variable. Firstly, the robust objective function is formulated by a combination of interval mean and interval variance of the deterministic objective function. Secondly, the interval mean and interval variance are computed by a hybrid uncertain analysis approach, termed as Polynomial Chaos-Chebyshev Interval (PCCI) method. Thirdly, the design sensitivities of the robust objective function are obtained after the implementation of the PCCI method. Finally, a powerful parametric level set method (PLSM) in conjunction with the numerical homogenization method is applied to achieve the robust topological design for the auxetic microstructure. Several numerical cases are used to demonstrate the effectiveness of the proposed method for the robust topology optimization problems. This method is non-intrusive and general, and can be easily extended to a range of design problems of micro-structured metamaterials.

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http://hdl.handle.net/10453/88095