Programmed Out-of-Plane curvature to enhance multimodal stiffness of bending-dominated composite lattices
Programmed Out-of-Plane curvature to enhance multimodal stiffness of bending-dominated composite lattices
Conventional bending-dominated lattices exhibit less specific stiffness compared to stretching-dominated lattices while showing high specific energy absorption capacity. This paper aims to improve the specific stiffness of bending-dominated lattices by introducing elementary-level programmed curvature through a multilevel hierarchical framework. The influence of curvature in the elementary beams is investigated here on the effective in-plane and out-of-plane elastic properties of lattice materials. The beamlike cell walls with out-of-plane curvature are modeled based on three-dimensional degenerated shell finite elements. Subsequently, the beam deflections are integrated with unit cell level mechanics in an efficient semi-analytical framework to obtain the lattice-level effective elastic moduli. The numerical results reveal that the effective in-plane elastic moduli of lattices with curved isotropic cell walls can be significantly improved without altering the lattice-level relative density, while the effective out-of-plane elastic properties reduce due to the introduction of curvature. To address this issue, we further propose laminated composite cell walls with out-of-plane curvature based on the three-dimensional degenerated shell elements, which can lead to holistic improvements in the in-plane and out-of-plane effective elastic properties. The proposed curved composite lattice materials would enhance the specific stiffness of bending-dominated lattices to a significant extent, while maintaining their conventional multifunctional advantages.
Bending-dominated lattice, Composite honeycomb, Composite metamaterials, Curved lattice metamaterials, Degenerated shells, Extreme stiffness, Honeycomb lattices, In-plane and out-of-plane elastic moduli, Mechanical metamaterials, Programmed curvature
1820-1838
Tiwari, Pratik
679be247-925a-4093-a09c-ebafe1041d3d
Naskar, Susmita
5f787953-b062-4774-a28b-473bd19254b1
Mukhopadhyay, Tanmoy
2ae18ab0-7477-40ac-ae22-76face7be475
27 February 2023
Tiwari, Pratik
679be247-925a-4093-a09c-ebafe1041d3d
Naskar, Susmita
5f787953-b062-4774-a28b-473bd19254b1
Mukhopadhyay, Tanmoy
2ae18ab0-7477-40ac-ae22-76face7be475
Tiwari, Pratik, Naskar, Susmita and Mukhopadhyay, Tanmoy
(2023)
Programmed Out-of-Plane curvature to enhance multimodal stiffness of bending-dominated composite lattices.
AIAA Journal, 61 (4), .
(doi:10.2514/1.J062573).
Abstract
Conventional bending-dominated lattices exhibit less specific stiffness compared to stretching-dominated lattices while showing high specific energy absorption capacity. This paper aims to improve the specific stiffness of bending-dominated lattices by introducing elementary-level programmed curvature through a multilevel hierarchical framework. The influence of curvature in the elementary beams is investigated here on the effective in-plane and out-of-plane elastic properties of lattice materials. The beamlike cell walls with out-of-plane curvature are modeled based on three-dimensional degenerated shell finite elements. Subsequently, the beam deflections are integrated with unit cell level mechanics in an efficient semi-analytical framework to obtain the lattice-level effective elastic moduli. The numerical results reveal that the effective in-plane elastic moduli of lattices with curved isotropic cell walls can be significantly improved without altering the lattice-level relative density, while the effective out-of-plane elastic properties reduce due to the introduction of curvature. To address this issue, we further propose laminated composite cell walls with out-of-plane curvature based on the three-dimensional degenerated shell elements, which can lead to holistic improvements in the in-plane and out-of-plane effective elastic properties. The proposed curved composite lattice materials would enhance the specific stiffness of bending-dominated lattices to a significant extent, while maintaining their conventional multifunctional advantages.
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More information
Accepted/In Press date: 26 October 2022
e-pub ahead of print date: 27 February 2023
Published date: 27 February 2023
Additional Information:
Funding Information:
T. M. would like to acknowledge the initiation grant received from University of Southampton.
Publisher Copyright:
© 2023 by Tanmoy Mukhopadhyay.
Keywords:
Bending-dominated lattice, Composite honeycomb, Composite metamaterials, Curved lattice metamaterials, Degenerated shells, Extreme stiffness, Honeycomb lattices, In-plane and out-of-plane elastic moduli, Mechanical metamaterials, Programmed curvature
Identifiers
Local EPrints ID: 478597
URI: http://eprints.soton.ac.uk/id/eprint/478597
ISSN: 0001-1452
PURE UUID: f4b9be25-c637-4ab1-a923-26012d062af7
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Date deposited: 05 Jul 2023 17:21
Last modified: 17 Mar 2024 04:18
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Author:
Pratik Tiwari
Author:
Tanmoy Mukhopadhyay
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