Unraveling metamaterial properties in zigzag-base folded sheets

Eidini, Maryam; Paulino, Gláucio H.

doi:10.1126/sciadv.1500224

Cited by 168 publications

(96 citation statements)

References 34 publications

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“…This leads to a design principle for mechanical metamaterials that can be easily and reversibly transformed between states with dramatically different properties, and we use example lattices to illustrate this (see Supplementary Video). Recently there have been many interesting proposals for tunable mechanical metamaterials26272829303132333435. What is unique to this design is that, first, the unusual asymmetric properties in the different states are protected by topological invariants of the phonon bands and thus the system is more robust against possible wear from repeated transformations, and second, the operation is based on a soft deformation of the structure that uniformly twists the angles at the hinges throughout the system and thus costs little energy and involves little stress.…”

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confidence: 99%

Transformable topological mechanical metamaterials

et al. 2017

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Mechanical metamaterials are engineered materials whose structures give them novel mechanical properties, including negative Poisson's ratios, negative compressibilities and phononic bandgaps. Of particular interest are systems near the point of mechanical instability, which recently have been shown to distribute force and motion in robust ways determined by a nontrivial topological state. Here we discuss the classification of and propose a design principle for mechanical metamaterials that can be easily and reversibly transformed between states with dramatically different mechanical and acoustic properties via a soft strain. Remarkably, despite the low energetic cost of this transition, quantities such as the edge stiffness and speed of sound can change by orders of magnitude. We show that the existence and form of a soft deformation directly determines floppy edge modes and phonon dispersion. Finally, we generalize the soft strain to generate domain structures that allow further tuning of the material.

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confidence: 99%

Transformable topological mechanical metamaterials

et al. 2017

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“…When both ends are stretched simultaneously, the PDMS sheet exhibits a dual tilting orientation with the left half rotating counterclockwise while the right half rotating clockwise, leaving a domain wall in the middle (Figure 1e and Video S1, Supporting Information). [17][18][19][20] While these deformations often occur by compression, highly stretchable and super-conformable metamaterials have been generated by introducing patterned cuts to a rigid, less-stretchable thin sheet. However, introducing patterned notches to both sides of the kirigami sheet of Figure 1a generates a modified and engineered kirigami structure.…”

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confidence: 99%

Programmable Kiri‐Kirigami Metamaterials

et al. 2016

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“…Recently, the principle of origami and kirigami has received growing attention from the research communities of both science and engineering [7][8][9][10][11], due to their promising potentials in a wide range of applications ranging from reconfigurable architected materials [12][13][14][15], deformable batteries [16,17], microscale 3D self-assembly [18][19][20][21], energy absorption [22], topological mechanics [23] and compact deployable structures [3,[24][25][26]. In particular, the intriguing mechanical properties of origami/kirigami structures, such as auxiticity, afford significant advantages in building mechanical metamaterials [27][28][29][30][31].…”

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confidence: 99%

Patterning Curved Three-Dimensional Structures With Programmable Kirigami Designs

Wang

Guo

et al. 2017

Journal of Applied Mechanics

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Originated from the art of paper cutting and folding, kirigami and origami have shown promising applications in a broad range of scientific and engineering fields. Developments of kirigami-inspired inverse design methods that map target three-dimensional (3D) geometries into two dimensional (2D) patterns of cuts and creases are desired to serve as guidelines for practical applications. In this paper, using programmed kirigami tessellations, we propose two design methods to approximate the geometries of developable surfaces and non-zero Gauss curvature surfaces with rotational symmetry. In the first method, a periodic array of kirigami pattern with spatially varying geometric parameters is obtained, allowing formation of developable surfaces of desired curvature distribution and thickness, through controlled shrinkage and bending deformations. In the second method, another type of kirigami tessellations, in combination with Miura origami, is proposed to approximate non-developable surfaces with rotational symmetry. Both methods are validated by experiments of folding patterned thin copper films into desired 3D structures. The mechanical behaviors of the kirigami designs are investigated using analytical modeling and finite element simulations. The proposed methods extend the design space of mechanical metamaterials, and are expected to be useful for kirigami-inspired applications.

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Unraveling metamaterial properties in zigzag-base folded sheets

Abstract: Zigzag-base mechanical metamaterials have the outstanding properties of Miura-ori and expand on its design space.

Cited by 168 publications

References 34 publications

Transformable topological mechanical metamaterials

Transformable topological mechanical metamaterials

Programmable Kiri‐Kirigami Metamaterials

Patterning Curved Three-Dimensional Structures With Programmable Kirigami Designs

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