Effective elastic moduli of space-filled multi-material composite lattices
Effective elastic moduli of space-filled multi-material composite lattices
Traditionally lattice materials are made of a network of beams in two and three dimensions with majority of the lattice volume being void space. Recently researchers have started exploring ways to exploit this void space for multi-physical property modulation of lattices such as global mechanical behaviour including different elastic moduli, wave propagation, vibration, impact and acoustic features. The elastic moduli are of crucial importance to ensure the structural viability of various multi-functional devices and systems where a space-filled lattice material could potentially be used. Here we develop closed-form analytical expressions for the effective elastic moduli of space-filled lattices based on an exact stiffness matrix approach coupled with the unit cell method, wherein transcendental shape functions are used to obtain exact solutions of the underlying differential equation. This can be viewed as an accurate multi-material based generalisation of the classical formulae for elastic moduli of honeycombs. Numerical results show that the effective in-plane elastic moduli can increase by orders of magnitude with a relatively lower infill stiffness (∼10%). This gives an exceptional opportunity to engineer multi-material lattices with optimal specific stiffness along with characterising the mechanical properties of a multitude of lattice-like artificial and naturally occurring structural forms with space filling.
Composite lattices, Effective elastic moduli, Hexagonal lattice, Multi-material honeycombs, Space-filled lattice metamaterials
Mukhopadhyay, Tanmoy
2ae18ab0-7477-40ac-ae22-76face7be475
Naskar, Susmita
5f787953-b062-4774-a28b-473bd19254b1
Kundu, Diptiman
fa5a739b-ebf9-488f-91bf-d84a1fe62519
Adhikari, Sondipon
12cf62cf-340a-4da6-9ad4-f4dd64384a73
October 2023
Mukhopadhyay, Tanmoy
2ae18ab0-7477-40ac-ae22-76face7be475
Naskar, Susmita
5f787953-b062-4774-a28b-473bd19254b1
Kundu, Diptiman
fa5a739b-ebf9-488f-91bf-d84a1fe62519
Adhikari, Sondipon
12cf62cf-340a-4da6-9ad4-f4dd64384a73
Mukhopadhyay, Tanmoy, Naskar, Susmita, Kundu, Diptiman and Adhikari, Sondipon
(2023)
Effective elastic moduli of space-filled multi-material composite lattices.
Composites Communications, 42, [101656].
(doi:10.1016/j.coco.2023.101656).
Abstract
Traditionally lattice materials are made of a network of beams in two and three dimensions with majority of the lattice volume being void space. Recently researchers have started exploring ways to exploit this void space for multi-physical property modulation of lattices such as global mechanical behaviour including different elastic moduli, wave propagation, vibration, impact and acoustic features. The elastic moduli are of crucial importance to ensure the structural viability of various multi-functional devices and systems where a space-filled lattice material could potentially be used. Here we develop closed-form analytical expressions for the effective elastic moduli of space-filled lattices based on an exact stiffness matrix approach coupled with the unit cell method, wherein transcendental shape functions are used to obtain exact solutions of the underlying differential equation. This can be viewed as an accurate multi-material based generalisation of the classical formulae for elastic moduli of honeycombs. Numerical results show that the effective in-plane elastic moduli can increase by orders of magnitude with a relatively lower infill stiffness (∼10%). This gives an exceptional opportunity to engineer multi-material lattices with optimal specific stiffness along with characterising the mechanical properties of a multitude of lattice-like artificial and naturally occurring structural forms with space filling.
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filledhoneycomb
- Accepted Manuscript
Text
1-s2.0-S245221392300164X-main
- Proof
More information
Accepted/In Press date: 25 June 2023
e-pub ahead of print date: 28 June 2023
Published date: October 2023
Additional Information:
Funding Information:
TM and SN acknowledge the initiation grant received from University of Southampton, United Kingdom.
Publisher Copyright:
© 2023 The Author(s)
Keywords:
Composite lattices, Effective elastic moduli, Hexagonal lattice, Multi-material honeycombs, Space-filled lattice metamaterials
Identifiers
Local EPrints ID: 478777
URI: http://eprints.soton.ac.uk/id/eprint/478777
PURE UUID: ad4b6ce8-69c4-4215-aa44-fff195df53ab
Catalogue record
Date deposited: 10 Jul 2023 16:35
Last modified: 17 Mar 2024 04:18
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Contributors
Author:
Tanmoy Mukhopadhyay
Author:
Diptiman Kundu
Author:
Sondipon Adhikari
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