Triclinic Metamaterials by Tristable Origami with Reprogrammable Frustration (Adv. Mater. 43/2022)

Liu, Ke; Pratapa, Phanisri P.; Misseroni, D.; Tachi, Tomohiro; Paulino, Glaucio H.

doi:10.1002/adma.202270298

Cited by 17 publications

(5 citation statements)

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“…Traditionally, the rational design of metamaterials with exceptional properties has relied on intuition and inspiration from nature [52,53] or ancient arts. [54,55] However, in order to enable a systematic approach for tailoring the properties of metamaterials, a comprehensive understanding of their classification and size-dependent characteristics is essential. This study has primarily focused on exploring these key aspects, aiming to provide insights into the systematic design of metamaterials rather than relying solely on intuition or inspiration.…”

Section: Discussionmentioning

confidence: 99%

Unravelling Size‐Dependent and Coupled Properties in Mechanical Metamaterials: A Couple‐Stress Theory Perspective

Eskandari,

shahryari,

Akbarzadeh

2024

Advanced Science

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The lack of material characteristic length scale prevents classical continuum theory (CCT) from recognizing size effect. Additionally, the even‐order material property tensors associated with CCT only characterize the materials' centrosymmetric behavior and overlook their intrinsic chirality and polarity. Moreover, CCT is not reducible to 2D and 1D space without adding couples and higher‐order deformation gradients. Despite several generalized continuum theories proposed over the past century to overcome the limitations of CCT, the broad application of these theories in the field of mechanical metamaterials has encountered significant challenges. These obstacles primarily arise from a limited understanding of the material coefficients associated with these theories, impeding their widespread adoption. Implementing a bottom‐up approach based on augmented asymptotic homogenization, a consistent and self‐sufficient effective couple‐stress theory for materials with microstructures in 3D, 2D, and 1D spaces is presented. Utilizing the developed models, material properties associated with axial‐twist, shear‐bending, bending‐twist, and double curvature bending couplings in mechanical metamaterials are characterized. The accuracy of these homogenized models is investigated by comparing them with the detailed finite element models and experiments performed on 3D‐printed samples. The proposed models provide a benchmark for the rational design, classification, and manufacturing of mechanical metamaterials with programmable coupled deformation modes.

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Section: Discussionmentioning

confidence: 99%

Unravelling Size‐Dependent and Coupled Properties in Mechanical Metamaterials: A Couple‐Stress Theory Perspective

Eskandari,

shahryari,

Akbarzadeh

2024

Advanced Science

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“…The deployment of all these patterns does not involve geometric frustration, [ 46,47 ] a phenomenon occurring when incompatible geometric constraints impede the deformation of an object under a set of applied forces; in the realm of kirigami, geometric frustration appears as local disordered deployments caused by incompatible geometric restrictions, such as local deformation of panels due to slit geometry that violates rigid deployable constraints [ 48 ] and out‐of‐plane morphing due to nonuniform strains in nonperiodic patterns. [ 37 ] This focus has so far excluded the investigation of exotic modes of deformation, e.g., anisotropic and inhomogeneous deployment, [ 49 ] pattern formation of complex order, [ 47 ] and history‐dependent mechanical computation [ 50 ] among other functionalities, that—on the other hand—have been studied in frustrated soft metamaterials. The concept of geometric frustration in soft kirigami and its interplay with slit symmetry remains elusive and calls for further investigation due to its promise to unlock shape transformations and properties thus far unattainable in kirigami metamaterials.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic Morphing in Bistable Kirigami through Symmetry Breaking and Geometric Frustration

Qiao,

Agnelli,

Pokkalla

et al. 2024

Advanced Materials

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Shape morphing in bistable kirigami enables remarkable functionalities appealing to a diverse range of applications across the spectrum of length scale. At the core of their shape shifting lies the architecture of their repeating unit, where highly deformable slits and quasi‐rigid rotating units often exhibit multiple symmetries that confers isotropic deployment obeying uniform scaling transformation. In this work, symmetry breaking in bistable kirigami is investigated to access geometric frustration and anisotropic morphing, enabling arbitrarily scaled deployment in planar and spatial bistable domains. With an analysis on their symmetry properties complemented by a systematic investigation integrating semi‐analytical derivations, numerical simulations, and experiments on elastic kirigami sheets, this work unveils the fundamental relations between slit symmetry, geometric frustration, and anisotropic bistable deployment. Furthermore, asymmetric kirigami units are leveraged in planar and flat‐to‐3D demonstrations to showcase the pivotal role of shear deformation in achieving target shapes and functions so far unattainable with uniformly stretchable kirigami. The insights provided in this work unveil the role of slit symmetry breaking in controlling the anisotropic bistable deployment of soft kirigami metamaterials, enriching the range of achievable functionalities for applications spanning deployable space structures, wearable technologies, and soft machines.This article is protected by copyright. All rights reserved

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“…[11] One key strategy to attain snap-through instability is to rationally design the metamaterial architecture, which can span a wide range of structural concepts, from the von Mises Truss, [25,26] inclined or curved beams, [10,11,13] shells and domes, [27,28] to origami and kirigami. [24,[29][30][31][32] Existing works have so far focused on harnessing the negative incremental stiffness provided by these structural concepts to endow a metamaterial with distinct functionalities at the concept stage of design. Once manufactured, however, their as-built architecture is permanently imprinted with snapthrough characteristics that cannot be changed in service through a mechanical input unless a field-responsive material is used and triggered by the application of an external physical field, such as a thermal or electromagnetic stimulus.…”

Section: Introductionmentioning

confidence: 99%

In Situ Activation of Snap‐Through Instability in Multi‐Response Metamaterials through Multistable Topological Transformation

Pasini

2023

Advanced Materials

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Snap‐through instability has been widely leveraged in metamaterials to attain non‐monotonic responses for a specific subset of applications where conventional monotonic materials fail to perform. In the remaining more plentiful set of ordinary applications, snap‐through instability is harmful, and current snapping metamaterials become inadequate because their capacity to snap cannot be suppressed post‐fabrication. Here, a class of topology‐transformable metamaterials is introduced to enable in situ activation and deactivation of the snapping capacity, providing a remarkable level of versatility in switching between responses from monotonic to monostable and bistable snap‐through. Theoretical analysis, numerical simulations, and experiments are combined to unveil the role played by contact in the topological transformation capable of increasing the geometry incompatibility and confinement stiffness of selected architectural members. The strategy here presented for post‐fabrication reprogrammability of matter and on‐the‐fly response switching paves the way to multifunctionality for application in multiple sectors from mechanical logic gates, and adjustable energy dissipators, to in situ adaptable sport equipment.

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Triclinic Metamaterials by Tristable Origami with Reprogrammable Frustration (Adv. Mater. 43/2022)

Cited by 17 publications

References 0 publications

Unravelling Size‐Dependent and Coupled Properties in Mechanical Metamaterials: A Couple‐Stress Theory Perspective

Unravelling Size‐Dependent and Coupled Properties in Mechanical Metamaterials: A Couple‐Stress Theory Perspective

Anisotropic Morphing in Bistable Kirigami through Symmetry Breaking and Geometric Frustration

In Situ Activation of Snap‐Through Instability in Multi‐Response Metamaterials through Multistable Topological Transformation

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