2017
DOI: 10.1038/srep41183
|View full text |Cite
|
Sign up to set email alerts
|

Design of Hierarchical Structures for Synchronized Deformations

Abstract: In this paper we propose a general method for creating a new type of hierarchical structures at any level in both 2D and 3D. A simple rule based on a rotate-and-mirror procedure is introduced to achieve multi-level hierarchies. These new hierarchical structures have remarkably few degrees of freedom compared to existing designs by other methods. More importantly, these structures exhibit synchronized motions during opening or closure, resulting in uniform and easily-controllable deformations. Furthermore, a si… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1

Citation Types

0
9
2

Year Published

2018
2018
2021
2021

Publication Types

Select...
6

Relationship

0
6

Authors

Journals

citations
Cited by 12 publications
(11 citation statements)
references
References 34 publications
0
9
2
Order By: Relevance
“…[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.…”
contrasting
confidence: 88%
See 1 more Smart Citation
“…[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.…”
contrasting
confidence: 88%
“…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. 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 then show that the geometric parameters of the embedded hierarchy enable us to tune both the morphology of the buckling-induced 3D patterns as well as the stress-strain response of the surfaces.…”
contrasting
confidence: 67%
“…Apart from the out‐of‐plane deformations under stretching, the kirigami strategy also enables in‐plane rotations of the components in response to in‐plane stretching . The essence of this kirigami design is to divide the planar structure into rotating units by strategic cutting patterns, as exemplified in Figure e.…”
Section: Structural Designs Of Devices and Systemsmentioning
confidence: 99%
“…This means that moving material from the middle part of each cell-wall closer to the vertexes or replacing the nodes with other structures can potentially increase the transverse stiffness and strength [2125]. Based on this concept, the in-plane mechanical properties of hierarchical honeycombs have been investigated [2136]. For example, Vaziri and his cooperators [2125] studied the in-plane mechanical properties of anisotropic and optimal fractal-like hierarchical honeycombs.…”
Section: Introductionmentioning
confidence: 99%
“…Seifi et al. [34] proposed a general method for creating a new type of hierarchical structures for synchronized deformations by introducing a simple rule based on the rotate-and-mirror procedure. Sun et al.…”
Section: Introductionmentioning
confidence: 99%