Topology optimization for auxetic metamaterials based on isogeometric analysis

Gao, J; Xue, H; Gao, L; Luo, Z

Topology optimization for auxetic metamaterials based on isogeometric analysis

Gao, J

Xue, H Gao, L

Luo, Z

Permalink

Publication Type:: Journal Article
Citation:: Computer Methods in Applied Mechanics and Engineering, 2019, 352 pp. 211 - 236
Issue Date:: 2019-08-01

Open Access

Copyright Clearance Process

Recently Added
In Progress
Open Access

This item is open access.

Adobe PDF

Download Accepted Manuscript VersionAdobe PDF (3.76 MB)

View on publisher's site

View statistics

Full metadata record

Field	Value	Language
dc.contributor.author	Gao, J https://orcid.org/0000-0002-4760-2768	en_US
dc.contributor.author	Xue, H	en_US
dc.contributor.author	Gao, L https://orcid.org/0000-0002-1485-0722	en_US
dc.contributor.author	Luo, Z https://orcid.org/0000-0002-6953-3986	en_US
dc.date.available	2021-04-01T18:01:45Z
dc.date.issued	2019-08-01	en_US
dc.identifier.citation	Computer Methods in Applied Mechanics and Engineering, 2019, 352 pp. 211 - 236	en_US
dc.identifier.issn	0045-7825	en_US
dc.identifier.uri	http://hdl.handle.net/10453/133084
dc.description.abstract	© 2019 Elsevier B.V. In this paper, an effective and efficient topology optimization method, termed as Isogeometric Topology Optimization (ITO), is proposed for systematic design of both 2D and 3D auxetic metamaterials based on isogeometric analysis (IGA). Firstly, a density distribution function (DDF)with the desired smoothness and continuity, to represent the topological changes of structures, is constructed using the Shepard function and non-uniform rational B-splines (NURBS)basis functions. Secondly, an energy-based homogenization method (EBHM)to evaluate material effective properties is numerically implemented by IGA, with the imposing of the periodic boundary formulation on material microstructure. Thirdly, a topology optimization formulation for 2D and 3D auxetic metamaterials is developed based on the DDF, where the objective function is defined as a combination of the homogenized elastic tensor and the IGA is applied to solve the structural responses. A relaxed optimality criteria (OC)method is used to update the design variables, due to the non-monotonic property of the problem. Finally, several numerical examples are used to demonstrate the effectiveness and efficiency of the proposed method. A series of auxetic microstructures with different deformation mechanisms (e.g. the re-entrant and chiral)can be obtained. The auxetic behavior of material microstructures are numerically validated using ANSYS, and the optimized designs are prototyped using the Selective Laser Sintering (SLS)technique.	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.2019.04.021	en_US
dc.rights	info:eu-repo/semantics/embargoedAccess
dc.subject.classification	Applied Mathematics	en_US
dc.title	Topology optimization for auxetic metamaterials based on isogeometric analysis	en_US
dc.type	Journal Article
utslib.citation.volume	352	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
pubs.organisational-group	/University of Technology Sydney/Students
utslib.copyright.status	open_access	*
pubs.publication-status	Published	en_US
pubs.volume	352	en_US

Abstract:

© 2019 Elsevier B.V. In this paper, an effective and efficient topology optimization method, termed as Isogeometric Topology Optimization (ITO), is proposed for systematic design of both 2D and 3D auxetic metamaterials based on isogeometric analysis (IGA). Firstly, a density distribution function (DDF)with the desired smoothness and continuity, to represent the topological changes of structures, is constructed using the Shepard function and non-uniform rational B-splines (NURBS)basis functions. Secondly, an energy-based homogenization method (EBHM)to evaluate material effective properties is numerically implemented by IGA, with the imposing of the periodic boundary formulation on material microstructure. Thirdly, a topology optimization formulation for 2D and 3D auxetic metamaterials is developed based on the DDF, where the objective function is defined as a combination of the homogenized elastic tensor and the IGA is applied to solve the structural responses. A relaxed optimality criteria (OC)method is used to update the design variables, due to the non-monotonic property of the problem. Finally, several numerical examples are used to demonstrate the effectiveness and efficiency of the proposed method. A series of auxetic microstructures with different deformation mechanisms (e.g. the re-entrant and chiral)can be obtained. The auxetic behavior of material microstructures are numerically validated using ANSYS, and the optimized designs are prototyped using the Selective Laser Sintering (SLS)technique.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/133084