Isogeometric density field method for topology optimization of micro-architected materials

Gao, J; Li, H; Luo, Z; Li, P; Gao, L

Isogeometric density field method for topology optimization of micro-architected materials

Gao, J

Li, H Luo, Z

Li, P Gao, L

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Publisher:: IEEE
Publication Type:: Conference Proceeding
Citation:: Proceedings of the 2019 IEEE 23rd International Conference on Computer Supported Cooperative Work in Design, CSCWD 2019, 2019, pp. 524-529
Issue Date:: 2019-05-01

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Field	Value	Language
dc.contributor.author	Gao, J https://orcid.org/0000-0002-4760-2768
dc.contributor.author	Li, H
dc.contributor.author	Luo, Z https://orcid.org/0000-0002-6953-3986
dc.contributor.author	Li, P
dc.contributor.author	Gao, L
dc.contributor.editor	Shen, WM
dc.contributor.editor	Paredes, H
dc.contributor.editor	Luo, J
dc.contributor.editor	Barthes, JP
dc.date	2019-05-06
dc.date.accessioned	2020-06-12T21:10:48Z
dc.date.available	2020-06-12T21:10:48Z
dc.date.issued	2019-05-01
dc.identifier.citation	Proceedings of the 2019 IEEE 23rd International Conference on Computer Supported Cooperative Work in Design, CSCWD 2019, 2019, pp. 524-529
dc.identifier.isbn	9781728103501
dc.identifier.uri	http://hdl.handle.net/10453/141394
dc.description.abstract	© 2019 IEEE. In this paper, an isogeometric density field method is proposed for the design of micro-architected materials with the specific mechanical properties, consisting of the maximum bulk and shear modulus and the Negative Poisson's ratio (NPR). Firstly, the non-uniform rational B-splines (NURBS) basis functions are employed to construct the density field function (DFF), where the Shepard function is used to improve the smoothness of the nodal densities assigned to control points. The NURBS basis functions and the Shepard function can ensure the sufficient continuity and smoothness of the DFF, owing to their significant properties. The optimization formulation for micro-architected materials is developed using the DFF, where the isogeometric analysis (IGA) is applied to evaluate the unknown structural responses. Effective macroscopic properties of materials are predicted by the asymptotic homogenization method. The same NURBS basis functions used in the IGA and the DFF can keep the consistency of the geometric model and analysis model, which provides the unique benefits. Numerical examples are used to demonstrate the effectiveness of the proposed topology optimization approach for micro-architected materials.
dc.language	en
dc.publisher	IEEE
dc.relation.ispartof	Proceedings of the 2019 IEEE 23rd International Conference on Computer Supported Cooperative Work in Design, CSCWD 2019
dc.relation.ispartof	International Conference on Computer Supported Cooperative Work in Design
dc.relation.isbasedon	10.1109/CSCWD.2019.8791502
dc.rights	© 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.	en_US
dc.rights	info:eu-repo/semantics/closedAccess
dc.title	Isogeometric density field method for topology optimization of micro-architected materials
dc.type	Conference Proceeding
utslib.location.activity	Porto, Portugal
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
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Students
utslib.copyright.status	closed_access	*
pubs.consider-herdc	false
dc.date.updated	2020-06-12T21:10:43Z
pubs.finish-date	2019-05-08
pubs.place-of-publication	Piscataway, USA
pubs.publication-status	Published
pubs.start-date	2019-05-06
dc.location	Piscataway, USA

Abstract:

© 2019 IEEE. In this paper, an isogeometric density field method is proposed for the design of micro-architected materials with the specific mechanical properties, consisting of the maximum bulk and shear modulus and the Negative Poisson's ratio (NPR). Firstly, the non-uniform rational B-splines (NURBS) basis functions are employed to construct the density field function (DFF), where the Shepard function is used to improve the smoothness of the nodal densities assigned to control points. The NURBS basis functions and the Shepard function can ensure the sufficient continuity and smoothness of the DFF, owing to their significant properties. The optimization formulation for micro-architected materials is developed using the DFF, where the isogeometric analysis (IGA) is applied to evaluate the unknown structural responses. Effective macroscopic properties of materials are predicted by the asymptotic homogenization method. The same NURBS basis functions used in the IGA and the DFF can keep the consistency of the geometric model and analysis model, which provides the unique benefits. Numerical examples are used to demonstrate the effectiveness of the proposed topology optimization approach for micro-architected materials.

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http://hdl.handle.net/10453/141394