On the dynamics and control of mechanical properties of hierarchical rotating rigid unit auxetics

Dudek, Krzysztof; Gatt, Ruben; Mizzi, Luke; Dudek, Mirosław R.; Attard, Daphne; Evans, K.; Grima, Joseph N.

doi:10.1038/srep46529

Cited by 64 publications

(45 citation statements)

References 38 publications

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“…[20][21][22][23][24][25] The out-of-plane buckling behavior of thin hierarchical kirigami sheets remains largely unexplored, and the only closely related study focuses on a system in which patterned notches are introduced in addition to cuts to guide the pop-up in a preferred direction. We find that for sufficiently small thicknesses, the behavior is completely different from that previously reported for thick sheets, [20][21][22][23][24][25][26][27][28][29][30] as mechanical instabilities triggered by the applied deformation result in the formation of complex 3D patterns and sequential pop-up processes. We first use a combination of experiments and numerical simulations to study the response under uniaxial tension of kirigami sheets with hierarchical cuts arranged to form an array of squares connected at their vertices via thin ligaments and investigate in detail both the effect of geometry as well as plasticity of the sheets.…”

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confidence: 88%

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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contrasting

confidence: 88%

Programmable Hierarchical Kirigami

Domel

Zhou

et al. 2019

Adv Funct Materials

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“…Boron arsenate (BAsO 4 ) [ 1,2 ] exhibits the “negative” macroscopic properties of negative linear compressibility (NLC) [ 3 ] and negative Poisson's ratio (NPR, auxetic). [ 4 ] Such Curiosity‐provoking “negative” materials are increasingly attracting more interest in recent years [ 3–48 ] due to their various potential applications in both industry and as consumer products, which range from strain amplifiers to smart filters. [ 34–40 ] It has been shown that such “negative” anomalous properties arise from the particular internal structure of the material and the mechanisms by which the internal geometry deforms when subjected to mechanical loads.…”

Section: Introductionmentioning

confidence: 99%

Negative Linear Compressibility and Auxeticity in Boron Arsenate

Grima

Vella‐Żarb

2020

Annalen der Physik

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A novel mechanism is identified leading to negative linear compressibility (NLC) in boron arsenate which is shown to arise from deformations in the framework tetrahedra rather than more conspicuous tetrahedral rotations. Instead, such rotations, which manifest as "rotating squares" when viewed down the c direction, are found to result in negative Poisson's ratio (NPR) in the (001) plane, which in turn augments the compressibility, a phenomenon that should be applicable to other auxetic materials. It is hypothesized that the generic NLC and NPR mechanisms identified here, as well as the augmented compressibility due to auxeticity should also feature in materials and metamaterials with similar characteristics. systems such as -cristobalite isostructural crystals with an I42d or I4 symmetry. Similarly, NLC is commonly associated with wine-rack motifs [37,39] or other mechanisms. [39] Negative compressibility and negative Poisson's ratio have also long been known in the vicinity of phase transformations. [39,47] The present work will study the effect of pressure, uniaxial loading, and shearing on boron arsenate, in an attempt to unearth the mechanisms which lead to NLC and NPR in this stable member of I4 space group, through the quantitative measurement of the molecular level deformations. This will help the understanding of the mechanisms leading to such anomalous "negative mechanical behavior" in crystals and in the process pave the way to the design of novel metamaterials inspired from it.

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“…This result could prove to be very important for scientists working on novel techniques associated with magnetic refrigeration particularly in view of the recent wide interest in magnetic metamaterials and other systems . It is also hoped that this work may contribute to the further discussion concerning the use of the Ising model in the case of hierarchical systems which could possibly lead to novel applications of such systems.…”

Section: Resultsmentioning

confidence: 99%

Programmable magnetic domain evolution in magnetic auxetic systems

Dudek

Wolak

Dudek

et al. 2017

Physica Rapid Research Ltrs

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In this work, we investigate the evolution of magnetic domains with time in magnetic auxetic systems using the Ising model. We show that the mechanical deformation of the structure affects the way how domains evolve and that their rate of growth does not follow a well-known power law associated with the Ising model for systems corresponding to a specific distance between Ising spins. We also show that the variation in the rate of deformation of the system leads to completely different results in terms of the change in size of magnetic domains and domain energy. This means that upon changing the speed used to deform the system, it is possible to control the growth of magnetic domains and hence control the magnetic properties of the whole system. This may prove to be very important in the case of potential applications such as magnetic freezers where the magnetocaloric effect resulting with a change in temperature could be affected by the rate of deformation of the discussed auxetic structure.

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On the dynamics and control of mechanical properties of hierarchical rotating rigid unit auxetics

Cited by 64 publications

References 38 publications

Programmable Hierarchical Kirigami

Programmable Hierarchical Kirigami

Negative Linear Compressibility and Auxeticity in Boron Arsenate

Programmable magnetic domain evolution in magnetic auxetic systems

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