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Research Papers

In Plane Mechanical Properties of Tetrachiral and Antitetrachiral Hybrid Metastructures

[+] Author and Article Information
Huimin Li, Yongbin Ma

Institute of Advanced Structure Technology,
Beijing Institute of Technology,
Beijing 100081, China;
Beijing Key Laboratory of Lightweight
Multi-functional Composite
Materials and Structures,
Beijing 100081, China

Weibin Wen

State Key Laboratory for Turbulence and
Complex Systems,
College of Engineering,
Peking University,
Beijing 100871, China

Wenwang Wu

Institute of Advanced Structure Technology,
Beijing Institute of Technology,
Beijing 100081, China;
Beijing Key Laboratory of Lightweight
Multi-functional Composite
Materials and Structures,
Beijing 100081, China
e-mail: wuwenwang@bit.edu.cn

Hongshuai Lei

Institute of Advanced Structure Technology,
Beijing Institute of Technology,
Beijing 100081, China;
Beijing Key Laboratory of Lightweight
Multi-functional Composite
Materials and Structures,
Beijing 100081, China
e-mail: lei123shuai@126.com

Daining Fang

Institute of Advanced Structure Technology,
Beijing Institute of Technology,
Beijing 100081, China

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received March 31, 2017; final manuscript received May 25, 2017; published online June 15, 2017. Editor: Yonggang Huang.

J. Appl. Mech 84(8), 081006 (Jun 15, 2017) (12 pages) Paper No: JAM-17-1173; doi: 10.1115/1.4036937 History: Received March 31, 2017; Revised May 25, 2017

A novel tetrachiral and antitetrachiral hybrid metastructure is proposed, and its in-plane mechanical properties are studied through strain energy analysis. Based on rigid ring rotation assumption, the analytical expression for the in-plane modulus of anisotropic tetrachiral and antitetrachiral hybrid metastructure is derived, and in-plane tensile experimental test and finite element simulation are performed and compared with the theoretical models. The corresponding in-plane anisotropic mechanical properties can be tuned with three independent dimensionless geometrical parameters, and effects of dimensionless geometrical parameters on the in-plane mechanical properties are studied systematically. Finally, an innovative tetrachiral and antitetrachiral hybrid metastructure stent is designed, and its mechanical behaviors under uniaxial tensile loading are investigated. It is found that the designed tetrachiral and antitetrachiral hybrid stent shows negative Poisson ratio properties, and the axial and circumferential deformation can be controlled through adjusting the spacing of unit cell along axial and circumferential directions.

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Figures

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Fig. 1

The conceptual tetrachiral antitetrachiral hybrid metastructures fabricated through water jet cutting technology: (a) the harvested sample and (b) local node–ligament connection relation

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Fig. 2

Topological layout of the tertachiral and antitetrachiral hybrid metastructures: (a) the ring-ligament connection, (b) unit cell, and (c) topological layout

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Fig. 3

Geometrical parameters relation for describing the effective ligaments lengths Lex and Ley in the tetrachiral and antitetrachiral hybrid unit cell, where the green parts are the overlapping lengths between rigid nodes and tangentially connected ligaments (see color figure online)

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Fig. 4

As fabricated tetrachiral and antitetrachiral hybrid in-plane tensile samples: (a) sample no. 1, (b) sample no. 2, (c) sample no. 3, (d) sample no. 4, (e) sample no. 5, (f) sample no. 6, (g) sample no. 7, and (h) sample no. 8

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Fig. 5

Local deformation mechanism of tetrachiral and antitetrachiral hybrid metastructures: sample no. 5 (a), tensile test, (c) experimental local deformation pattern at global strain ε=0.5%; (e) finite element simulated local deformation pattern at global strain ε=0.5% (magnified deformation amplitude), sample no. 7 (b), tensile test (d), experimental local deformation pattern at global strain ε=0.5%, and (f) finite element-simulated local deformation pattern at global strain ε=0.5% (magnified deformation amplitude)

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Fig. 6

Effects of αx on the in-plane modulus Ex, Ey, and Poisson ratio of the tetrachiral and antitetrachiral hybrid metastructure

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Fig. 7

Effects of β on the in-plane modulus Ex, Ey, and Poisson ratio of the tetrachiral and antitetrachiral hybrid metastructure

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Fig. 8

Effects of γ on the in-plane modulus Ex, Ey, and Poisson ratio of the tetrachiral and antitetrachiral hybrid metastructure

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Fig. 10

Tetrachiral and antitetrachiral hybrid stent design procedures: (a) ring-ligament pair composed of central rigid ring and four half-length ligaments, (b) unit cell consisting of tetrachiral and antitetrachiral ligament-ring components, (c) periodic-spaced hybrid metastructures along the circumferential direction of the stent, and (d) the designed stent with periodic tetrachiral and antitetrachiral unit cells along circumferential and axial directions

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Fig. 9

Unit cells of the tetrachiral and antitetrachiral hybrid stent metastructure

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Fig. 11

Display of the six designed stents: with varying number of unit cells along the axial direction (a) (m,n)  = (8, 12), (c) (m,n) = (10, 12), (e) (m,n) = (14, 12); with varying number of unit cells along the circumferential direction, (b) (m,n) = (19, 8), (d) (m,n) = (19, 12), and (f) (m,n) = (19, 18)

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Fig. 12

Effect of Lz on the mechanical behavior of the hybrid stent under uniaxial tensile loading: axial deformation (a) (m,n) = (8, 12), (c) (m,n) = (10, 12), (e) (m,n) = (14, 12); and circumferential deformation (b) (m,n) = (8, 12), (d) (m,n) = (10, 12), and (f) (m,n) = (14, 12)

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Fig. 13

Effect of Lθ on the mechanical behavior of the hybrid stent under uniaxial tensile loading: axial deformation (a) (m,n) = (19, 8), (c) (m,n) = (19, 12), (e) (m,n) = (19, 18); and circumferential deformation (b) (m,n) = (19, 8), (d) (m,n) = (19, 12), (f) (m,n) = (19, 18)

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