Shape-morphing structures based on perforated kirigami

Shape-morphing structures, which are able to change their shapes from one state to another, are important in a wide range of engineering applications. A popular scenario is morphing from an initial two-dimensional (2D) shape that is flat to a three-dimensional (3D) target shape. One of the exciting...

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Main Authors: Zhang, Yunlan, Yang, Jingyi, Liu, Mingchao, Vella, Dominic
Other Authors: School of Mechanical and Aerospace Engineering
Format: Journal Article
Language:English
Published: 2023
Subjects:
Online Access:https://hdl.handle.net/10356/164388
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author Zhang, Yunlan
Yang, Jingyi
Liu, Mingchao
Vella, Dominic
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Zhang, Yunlan
Yang, Jingyi
Liu, Mingchao
Vella, Dominic
author_sort Zhang, Yunlan
collection NTU
description Shape-morphing structures, which are able to change their shapes from one state to another, are important in a wide range of engineering applications. A popular scenario is morphing from an initial two-dimensional (2D) shape that is flat to a three-dimensional (3D) target shape. One of the exciting manufacturing paradigms is transforming flat 2D sheets with prescribed cuts (i.e. kirigami) into 3D structures. By employing the formalism of the 'tapered elastica' equation, we develop an inverse design framework to predict the shape of the 2D cut pattern that would generate a desired axisymmetric 3D shape. Our previous work has shown that tessellated 3D structures can be achieved by designing both the width and thickness of the cut 2D sheet to have particular tapered designs. However, the fabrication of a sample with variable thickness is quite challenging. Here we propose a new strategy -- perforating the cut sheet with tapered width but uniform thickness to introduce a distribution of porosity. We refer to this strategy as perforated kirigami and show how the porosity function can be calculated from our theoretical model. The porosity distribution can easily be realized by laser cutting and modifies the bending stiffness of the sheet to yield a desired elastic deformation upon buckling. To verify our theoretical approach, we conduct finite element simulations and physical experiments. We also examine the loading-bearing capacity of morphed structures via indentation tests in both FEM simulations and experiments. As an example, the relationship between the measured geometric rigidity of morphed half-ellipsoids and their aspect ratio is investigated in detail.
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spelling ntu-10356/1643882023-01-18T07:58:27Z Shape-morphing structures based on perforated kirigami Zhang, Yunlan Yang, Jingyi Liu, Mingchao Vella, Dominic School of Mechanical and Aerospace Engineering Engineering::Mechanical engineering Shape-Morphing Inverse Design Shape-morphing structures, which are able to change their shapes from one state to another, are important in a wide range of engineering applications. A popular scenario is morphing from an initial two-dimensional (2D) shape that is flat to a three-dimensional (3D) target shape. One of the exciting manufacturing paradigms is transforming flat 2D sheets with prescribed cuts (i.e. kirigami) into 3D structures. By employing the formalism of the 'tapered elastica' equation, we develop an inverse design framework to predict the shape of the 2D cut pattern that would generate a desired axisymmetric 3D shape. Our previous work has shown that tessellated 3D structures can be achieved by designing both the width and thickness of the cut 2D sheet to have particular tapered designs. However, the fabrication of a sample with variable thickness is quite challenging. Here we propose a new strategy -- perforating the cut sheet with tapered width but uniform thickness to introduce a distribution of porosity. We refer to this strategy as perforated kirigami and show how the porosity function can be calculated from our theoretical model. The porosity distribution can easily be realized by laser cutting and modifies the bending stiffness of the sheet to yield a desired elastic deformation upon buckling. To verify our theoretical approach, we conduct finite element simulations and physical experiments. We also examine the loading-bearing capacity of morphed structures via indentation tests in both FEM simulations and experiments. As an example, the relationship between the measured geometric rigidity of morphed half-ellipsoids and their aspect ratio is investigated in detail. Nanyang Technological University The research leading to these results has received funding from Nanyang Technological University, Singapore via the Presidential Postdoctoral Fellowship (M.L.). 2023-01-18T07:58:26Z 2023-01-18T07:58:26Z 2022 Journal Article Zhang, Y., Yang, J., Liu, M. & Vella, D. (2022). Shape-morphing structures based on perforated kirigami. Extreme Mechanics Letters, 56, 101857-. https://dx.doi.org/10.1016/j.eml.2022.101857 2352-4316 https://hdl.handle.net/10356/164388 10.1016/j.eml.2022.101857 2-s2.0-85135932927 56 101857 en Extreme Mechanics Letters © 2022 Elsevier Ltd. All rights reserved.
spellingShingle Engineering::Mechanical engineering
Shape-Morphing
Inverse Design
Zhang, Yunlan
Yang, Jingyi
Liu, Mingchao
Vella, Dominic
Shape-morphing structures based on perforated kirigami
title Shape-morphing structures based on perforated kirigami
title_full Shape-morphing structures based on perforated kirigami
title_fullStr Shape-morphing structures based on perforated kirigami
title_full_unstemmed Shape-morphing structures based on perforated kirigami
title_short Shape-morphing structures based on perforated kirigami
title_sort shape morphing structures based on perforated kirigami
topic Engineering::Mechanical engineering
Shape-Morphing
Inverse Design
url https://hdl.handle.net/10356/164388
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AT yangjingyi shapemorphingstructuresbasedonperforatedkirigami
AT liumingchao shapemorphingstructuresbasedonperforatedkirigami
AT velladominic shapemorphingstructuresbasedonperforatedkirigami