The University of Southampton
University of Southampton Institutional Repository

Constitutive behavior of asymmetric multi-material honeycombs with bi-level variably-thickened composite architecture

Constitutive behavior of asymmetric multi-material honeycombs with bi-level variably-thickened composite architecture
Constitutive behavior of asymmetric multi-material honeycombs with bi-level variably-thickened composite architecture
Bi-level tailoring of cellular metamaterials involving a dual design space of unit cell and elementary beam level architectures has recently gained traction for the ability to achieve extreme elastic constitutive properties along with modulating multi-functional mechanical behavior in an unprecedented way. This article proposes an efficient analytical approach for the accurate evaluation of all constitutive elastic constants of asymmetric multi-material variably-thickened hexagonal lattices by considering the combined effect of bending, stretching, and shearing deformations of cell walls along with their rigid rotation. A tri-member unit cell is conceptualized, wherein all nine constitutive constants are obtained through the mechanics under one cell wall direction and subsequent repetitive coordinate transformations. We enhance the design space of lattice metamaterials substantially here by introducing multiple exploitable dimensions such as asymmetric geometry, multi-material unit cells and variably-thickened cell walls, wherein the conventional monomaterial auxetic and non-auxetic hexagonal configurations can be analyzed as special cases along with other symmetric and asymmetric lattices such as a range of rectangular and rhombic geometries. The generic analytical approach along with extensive numerical results presented in this paper opens up new avenues for efficient optimized design of the next-generation multi-functional lattices and cellular metamaterials with highly tailored effective elastic properties.
Asymmetric honeycombs, Auxetic and non-auxetic lattices, Cellular metamaterials, Lattice derivatives, Multi-material lattices, Programmable elastic moduli
0263-8231
Awasthi, M.
704b1e40-a611-492d-872f-6c190089e1c5
Naskar, S.
5f787953-b062-4774-a28b-473bd19254b1
Singh, A.
e292045c-20c1-4813-ba1a-7b9425c83bb7
Mukhopadhyay, T.
2ae18ab0-7477-40ac-ae22-76face7be475
Awasthi, M.
704b1e40-a611-492d-872f-6c190089e1c5
Naskar, S.
5f787953-b062-4774-a28b-473bd19254b1
Singh, A.
e292045c-20c1-4813-ba1a-7b9425c83bb7
Mukhopadhyay, T.
2ae18ab0-7477-40ac-ae22-76face7be475

Awasthi, M., Naskar, S., Singh, A. and Mukhopadhyay, T. (2024) Constitutive behavior of asymmetric multi-material honeycombs with bi-level variably-thickened composite architecture. Thin-Walled Structures, 203, [112183]. (doi:10.1016/j.tws.2024.112183).

Record type: Article

Abstract

Bi-level tailoring of cellular metamaterials involving a dual design space of unit cell and elementary beam level architectures has recently gained traction for the ability to achieve extreme elastic constitutive properties along with modulating multi-functional mechanical behavior in an unprecedented way. This article proposes an efficient analytical approach for the accurate evaluation of all constitutive elastic constants of asymmetric multi-material variably-thickened hexagonal lattices by considering the combined effect of bending, stretching, and shearing deformations of cell walls along with their rigid rotation. A tri-member unit cell is conceptualized, wherein all nine constitutive constants are obtained through the mechanics under one cell wall direction and subsequent repetitive coordinate transformations. We enhance the design space of lattice metamaterials substantially here by introducing multiple exploitable dimensions such as asymmetric geometry, multi-material unit cells and variably-thickened cell walls, wherein the conventional monomaterial auxetic and non-auxetic hexagonal configurations can be analyzed as special cases along with other symmetric and asymmetric lattices such as a range of rectangular and rhombic geometries. The generic analytical approach along with extensive numerical results presented in this paper opens up new avenues for efficient optimized design of the next-generation multi-functional lattices and cellular metamaterials with highly tailored effective elastic properties.

Text
Paper1noHighlight - Accepted Manuscript
Available under License Creative Commons Attribution.
Download (50MB)
Text
1-s2.0-S0263823124006256-main - Proof
Available under License Creative Commons Attribution.
Download (50MB)

More information

Accepted/In Press date: 29 June 2024
e-pub ahead of print date: 6 July 2024
Published date: 6 July 2024
Keywords: Asymmetric honeycombs, Auxetic and non-auxetic lattices, Cellular metamaterials, Lattice derivatives, Multi-material lattices, Programmable elastic moduli

Identifiers

Local EPrints ID: 492049
URI: http://eprints.soton.ac.uk/id/eprint/492049
ISSN: 0263-8231
PURE UUID: a48e56b9-089c-43d0-b101-4a57d01deeb4
ORCID for S. Naskar: ORCID iD orcid.org/0000-0003-3294-8333
ORCID for T. Mukhopadhyay: ORCID iD orcid.org/0000-0002-0778-6515

Catalogue record

Date deposited: 15 Jul 2024 16:39
Last modified: 01 Aug 2024 02:07

Export record

Altmetrics

Contributors

Author: M. Awasthi
Author: S. Naskar ORCID iD
Author: A. Singh
Author: T. Mukhopadhyay ORCID iD

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×