Topological design of pentamode lattice metamaterials using a ground structure method

Li, Z; Luo, Z; Zhang, L-C; Wang, C-H

Topological design of pentamode lattice metamaterials using a ground structure method

Li, Z Luo, Z

Zhang, L-C Wang, C-H

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Publisher:: ELSEVIER SCI LTD
Publication Type:: Journal Article
Citation:: Materials & Design, 2021, 202
Issue Date:: 2021-04-01

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Field	Value	Language
dc.contributor.author	Li, Z
dc.contributor.author	Luo, Z https://orcid.org/0000-0002-6953-3986
dc.contributor.author	Zhang, L-C
dc.contributor.author	Wang, C-H
dc.date.accessioned	2021-05-06T01:51:48Z
dc.date.available	2021-05-06T01:51:48Z
dc.date.issued	2021-04-01
dc.identifier.citation	Materials & Design, 2021, 202
dc.identifier.issn	0264-1275
dc.identifier.issn	1873-4197
dc.identifier.uri	http://hdl.handle.net/10453/148740
dc.description.abstract	Pentamode metamaterials are a new class of artificially engineering three-dimensional lattice composites. There exist a few types of pentamode metamaterials that are dominated by ad hoc design motifs, while a systematic design approach is still missing. This paper will present an efficient topological optimization methodology to discover a series of novel pentamode lattice microarchitectures over a range of effective material properties. Firstly, the necessary and sufficient condition that is required for elasticity constants of pentamode micro lattices with at least elastically orthotropic symmetry is derived. Secondly, a general mathematical formulation for design optimization of such pentamode micro lattices is developed. Thirdly, a truss-based three-dimensional ground structure with geometrically orthotropic symmetry is generated, with geometric constraints to avoid intersection and overlap of truss bars within the ground structure. The genetic algorithm is then used to solve the topology optimization problem described by the ground structure. Finally, twenty-four pentamode lattices are designed to demonstrate the effectiveness of the proposed method.
dc.language	English
dc.publisher	ELSEVIER SCI LTD
dc.relation	http://purl.org/au-research/grants/arc/DP160102491
dc.relation.ispartof	Materials & Design
dc.relation.isbasedon	10.1016/j.matdes.2021.109523
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	0910 Manufacturing Engineering, 0912 Materials Engineering, 0913 Mechanical Engineering
dc.subject.classification	Materials
dc.title	Topological design of pentamode lattice metamaterials using a ground structure method
dc.type	Journal Article
utslib.citation.volume	202
utslib.for	0910 Manufacturing Engineering
utslib.for	0912 Materials Engineering
utslib.for	0913 Mechanical Engineering
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	open_access	*
dc.date.updated	2021-05-06T01:51:47Z
pubs.publication-status	Published
pubs.volume	202

Abstract:

Pentamode metamaterials are a new class of artificially engineering three-dimensional lattice composites. There exist a few types of pentamode metamaterials that are dominated by ad hoc design motifs, while a systematic design approach is still missing. This paper will present an efficient topological optimization methodology to discover a series of novel pentamode lattice microarchitectures over a range of effective material properties. Firstly, the necessary and sufficient condition that is required for elasticity constants of pentamode micro lattices with at least elastically orthotropic symmetry is derived. Secondly, a general mathematical formulation for design optimization of such pentamode micro lattices is developed. Thirdly, a truss-based three-dimensional ground structure with geometrically orthotropic symmetry is generated, with geometric constraints to avoid intersection and overlap of truss bars within the ground structure. The genetic algorithm is then used to solve the topology optimization problem described by the ground structure. Finally, twenty-four pentamode lattices are designed to demonstrate the effectiveness of the proposed method.

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http://hdl.handle.net/10453/148740