Buckling-Induced Kirigami

Rafsanjani, Ahmad; Bertoldi, Katia

doi:10.1103/physrevlett.118.084301

Cited by 216 publications

(152 citation statements)

References 39 publications

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“…14(a)) and 2D arrays of rotating units [190] result in large extension and a range of nonlinear mechanical responses. Finally, mechanical instabilities in flat thin sheets with an embedded array of cuts subjected to uniaxial tension can result in out-of-plane deformation and the formation of 3D architectures [191,192] (see Fig. 14(b)), providing opportunities for the design of highly stretchable devices [193][194][195][196][197][198] and morphable structures [191,199,200].…”

Section: -10 / Vol 69 September 2017mentioning

confidence: 99%

Exploiting Microstructural Instabilities in Solids and Structures: From Metamaterials to Structural Transitions

Kochmann

Bertoldi

2017

Applied Mechanics Reviews

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189

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Instabilities in solids and structures are ubiquitous across all length and time scales, and engineering design principles have commonly aimed at preventing instability. However, over the past two decades, engineering mechanics has undergone a paradigm shift, away from avoiding instability and toward taking advantage thereof. At the core of all instabilities-both at the microstructural scale in materials and at the macroscopic, structural level-lies a nonconvex potential energy landscape which is responsible, e.g., for phase transitions and domain switching, localization, pattern formation, or structural buckling and snapping. Deliberately driving a system close to, into, and beyond the unstable regime has been exploited to create new materials systems with superior, interesting, or extreme physical properties. Here, we review the state-of-the-art in utilizing mechanical instabilities in solids and structures at the microstructural level in order to control macroscopic (meta)material performance. After a brief theoretical review, we discuss examples of utilizing material instabilities (from phase transitions and ferroelectric switching to extreme composites) as well as examples of exploiting structural instabilities in acoustic and mechanical metamaterials.

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Section: -10 / Vol 69 September 2017mentioning

confidence: 99%

Exploiting Microstructural Instabilities in Solids and Structures: From Metamaterials to Structural Transitions

Kochmann

Bertoldi

2017

Applied Mechanics Reviews

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189

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“…[16][17][18][19] Interestingly, it has also been shown that the introduction of hierarchy into kirigami structures further enrich their functionality as it enables higher stretchability, [20,21] wider tunability of the bandgaps, [21][22][23] and larger negative Poisson's ratios. [16][17][18][19] Interestingly, it has also been shown that the introduction of hierarchy into kirigami structures further enrich their functionality as it enables higher stretchability, [20,21] wider tunability of the bandgaps, [21][22][23] and larger negative Poisson's ratios.…”

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confidence: 99%

Programmable Hierarchical Kirigami

Domel

Zhou

et al. 2019

Adv Funct Materials

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Kirigami-the Japanese art of cutting paper-has recently inspired the design of highly stretchable and morphable mechanical metamaterials that can be easily realized by embedding an array of cuts into a sheet. This study focuses on thin plastic sheets perforated with a hierarchical pattern of cuts arranged to form an array of hinged squares. It is shown that by tuning the geometric parameters of this hierarchy as well as thickness and material response of the sheets not only a variety of different bucklinginduced 3D deformation patterns can be triggered, but also the stress-strain response of the surface can be effectively programmed. Finally, it is shown that when multiple hierarchical patterns are brought together to create one combined heterogeneous surface, the mechanical response can be further tuned and information can be encrypted into and read out via the applied mechanical deformation.

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“…Rational design [7] techniques based on computational and analytical models are often used to devise the small-scale architectures that give rise to the desired set of mechanical properties. The geometrical basis for designing such architectures may be lattice structures [5,8,9], origami [7,10,11], or kirigami [12][13][14], among others.…”

Section: Introductionmentioning

confidence: 99%

Multimaterial Control of Instability in Soft Mechanical Metamaterials

2018

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Soft mechanical metamaterials working on the basis of instability have numerous potential applications in the context of "machine materials." Controlling the onset of instability is usually required when rationally designing such metamaterials. We study the isolated and modulated effects of geometrical design and material distribution on the onset of instability in multimaterial cellular metamaterials. We use multimaterial additive manufacturing to fabricate cellular specimens whose unit cells are divided into void space, a square element, and an intermediate ligament. The ratio of the elastic modulus of the ligament to that of the square element ½ðE L Þ=ðE S Þ is changed by using different material types. Computational models are also developed, validated against experimental observations, and used to study a wide range of possible designs. The critical stress can be adjusted independently from the critical strain by changing the material type while keeping ½ðE L Þ=ðE S Þ constant. The critical strain shows a power-law relationship with ½ðE L Þ=ðE S Þ within the range ½ðE L Þ=ðE S Þ ¼ 0.1-10. The void shape design alters the critical strain by up to threefold, while the combined effects of the void shape and material distribution cause up to a ninefold change in the critical strain. Our findings highlight the strong influence of material distribution on the onset of the instability and buckling mode.

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Buckling-Induced Kirigami

Cited by 216 publications

References 39 publications

Exploiting Microstructural Instabilities in Solids and Structures: From Metamaterials to Structural Transitions

Exploiting Microstructural Instabilities in Solids and Structures: From Metamaterials to Structural Transitions

Programmable Hierarchical Kirigami

Multimaterial Control of Instability in Soft Mechanical Metamaterials

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