Topological shape optimization of 3D micro-structured materials using energy-based homogenization method

Gao, J; Li, H; Gao, L; Xiao, M

Topological shape optimization of 3D micro-structured materials using energy-based homogenization method

Gao, J

Li, H Gao, L Xiao, M

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Publication Type:: Journal Article
Citation:: Advances in Engineering Software, 2018, 116 pp. 89 - 102
Issue Date:: 2018-02-01

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Field	Value	Language
dc.contributor.author	Gao, J https://orcid.org/0000-0002-4760-2768	en_US
dc.contributor.author	Li, H	en_US
dc.contributor.author	Gao, L	en_US
dc.contributor.author	Xiao, M	en_US
dc.date.issued	2018-02-01	en_US
dc.identifier.citation	Advances in Engineering Software, 2018, 116 pp. 89 - 102	en_US
dc.identifier.issn	0965-9978	en_US
dc.identifier.uri	http://hdl.handle.net/10453/131697
dc.description.abstract	© 2017 Elsevier Ltd This paper proposes an effective method for the design of 3D micro-structured materials to attain extreme mechanical properties, which integrates the firstly developed 3D energy-based homogenization method (EBHM) with the parametric level set method (PLSM). In the 3D EBHM, a reasonable classification of nodes in periodic material microstructures is introduced to develop the 3D periodic boundary formulation consisting of 3D periodic boundary conditions, 3D boundary constraint equations and the reduced linearly elastic equilibrium equation. Then, the effective elasticity properties of material microstructures are evaluated by the average stress and strain theorems rather than the asymptotic theory. Meanwhile, the PLSM is applied to optimize microstructural shape and topology because of its positive characteristics, like the perfect demonstration of geometrical features and high optimization efficiency. Numerical examples are provided to demonstrate the advantages of the proposed design method. Results indicate that the optimized 3D material microstructures with expected effective properties are featured with smooth structural boundaries and clear interfaces.	en_US
dc.relation.ispartof	Advances in Engineering Software	en_US
dc.relation.isbasedon	10.1016/j.advengsoft.2017.12.002	en_US
dc.subject.classification	Applied Mathematics	en_US
dc.title	Topological shape optimization of 3D micro-structured materials using energy-based homogenization method	en_US
dc.type	Journal Article
utslib.citation.volume	116	en_US
utslib.for	0802 Computation Theory and Mathematics	en_US
utslib.for	0913 Mechanical Engineering	en_US
utslib.for	08 Information and Computing 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/Students
utslib.copyright.status	closed_access
pubs.publication-status	Published	en_US
pubs.volume	116	en_US

Abstract:

© 2017 Elsevier Ltd This paper proposes an effective method for the design of 3D micro-structured materials to attain extreme mechanical properties, which integrates the firstly developed 3D energy-based homogenization method (EBHM) with the parametric level set method (PLSM). In the 3D EBHM, a reasonable classification of nodes in periodic material microstructures is introduced to develop the 3D periodic boundary formulation consisting of 3D periodic boundary conditions, 3D boundary constraint equations and the reduced linearly elastic equilibrium equation. Then, the effective elasticity properties of material microstructures are evaluated by the average stress and strain theorems rather than the asymptotic theory. Meanwhile, the PLSM is applied to optimize microstructural shape and topology because of its positive characteristics, like the perfect demonstration of geometrical features and high optimization efficiency. Numerical examples are provided to demonstrate the advantages of the proposed design method. Results indicate that the optimized 3D material microstructures with expected effective properties are featured with smooth structural boundaries and clear interfaces.

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http://hdl.handle.net/10453/131697