Snap-induced morphing: From a single bistable shell to the origin of shape bifurcation in interacting shells

Liu, Mingchao; Domino, Lucie; Dinechin, Iris Dupont de; Taffetani, Matteo; Vella, Dominic

doi:10.1016/j.jmps.2022.105116

Cited by 32 publications

(7 citation statements)

References 36 publications

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“…An example of applying our framework to address discontinuous cross-sections and nonlinear material behaviors in the formation of creases is included in SI Appendix , section 6 . In SI Appendix , section 7 , we further show that a regularized Heaviside function can describe the geometry of 2D surfaces with discontinuities, which provides opportunities for facilitating the mechanics modeling and design of metasheets ( 48 , 49 ).…”

Section: Discussionmentioning

confidence: 92%

Continuous modeling of creased annuli with tunable bistable and looping behaviors

Marmo

Cesarano

et al. 2023

Proc. Natl. Acad. Sci. U.S.A.

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Creases are purposely introduced to thin structures for designing deployable origami, artistic geometries, and functional structures with tunable nonlinear mechanics. Modeling the mechanics of creased structures is challenging because creases introduce geometric discontinuity and often have complex mechanical responses due to local material damage. In this work, we propose a continuous description of the sharp geometry of creases and apply it to the study of creased annuli, made by introducing radial creases to annular strips with the creases annealed to behave elastically. We find that creased annuli have generic bistability and can be folded into various compact shapes, depending on the crease pattern and the overcurvature of the flat annulus. We use a regularized Dirac delta function (RDDF) to describe the geometry of a crease, with the finite spike of the RDDF capturing the localized curvature. Together with anisotropic rod theory, we solve the nonlinear mechanics of creased annuli, with its stability determined by the standard conjugate point test. We find excellent agreement between precision tabletop models, numerical predictions from our analytical framework, and modeling results from finite element simulations. We further show that by varying the rest curvature of the thin strip, dynamic switches between different states of creased annuli can be achieved, which could inspire the design of deployable and morphable structures. We believe that our smooth description of discontinuous geometries will benefit the mechanical modeling and design of a wide spectrum of engineering structures that embrace geometric and material discontinuities.

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Section: Discussionmentioning

confidence: 92%

Continuous modeling of creased annuli with tunable bistable and looping behaviors

Marmo

Cesarano

et al. 2023

Proc. Natl. Acad. Sci. U.S.A.

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“…Moreover, adding more details to the model for a swelling bilayer shell can potentially improve the prediction accuracy of snap-through inversion. For instance, the overshoot of the curvature near the boundary edge before snap-through, which was previously considered for already-everted shells, 18,25 can be considered to improve the modeling results.…”

Section: Discussionmentioning

confidence: 99%

Snap-through inversion of elastic shells swelling via solvent diffusion

Park,

Kim,

Lee

et al. 2023

Soft Matter

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“…d) The pixelated mechanical metamaterial is decoded to obtain three surfaces in sequence. e) High-resolution discretized surfaces with (p, q, r) = (15,15,9). See Video S5 in the Supporting Information.…”

Section: Encoding and Storage Of Multiple Layers Of Informationmentioning

confidence: 99%

Encoding and Storage of Information in Mechanical Metamaterials

et al. 2023

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Information processing using material's own properties has gained increasing interest. Mechanical metamaterials, due to their diversity of deformation modes and wide design space, can be used to realize information processing, such as computing and storage. Here a mechanical metamaterial system is demonstrated for material-based encoding and storage of data through programmed reconfigurations of the metamaterial's structured building blocks. Sequential encoding and decoding are achieved in the three-dimensional (3D) printed pixelated mechanical metamaterial via kirigami-based "pixels" with programmable, temperature-dependent bistability. The mechanical metamaterial is demonstrated via a multistep deformation of encoding messages of texts and surfaces with arrays of binary data, and then decoding them by applying a predetermined stretching and heating regimen to sequentially retrieve layers of stored information and display them on its surface. This approach serves as a general framework to enable the encoding and storage of data with mechanical metamaterials.

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Snap-induced morphing: From a single bistable shell to the origin of shape bifurcation in interacting shells

Cited by 32 publications

References 36 publications

Continuous modeling of creased annuli with tunable bistable and looping behaviors

Continuous modeling of creased annuli with tunable bistable and looping behaviors

Snap-through inversion of elastic shells swelling via solvent diffusion

Encoding and Storage of Information in Mechanical Metamaterials

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