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Research Papers

Out-of-Plane Impact Resistance Enhancement in Plane Lattice With Curved Links

[+] Author and Article Information
Yabo Liu

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: yabo0019@163.com

Zhichao Dong

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: zc339580@126.com

Jingran Ge

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: gejingran@bit.edu.cn

Jun Liang

Institute of Advanced Structure Technology,
Beijing Institute of Technology,
Beijing 100081, China;
State Key Laboratory of Explosion Science and Technology,
Beijing Institute of Technology,
Beijing 100081, China;
Beijing Key Laboratory of Lightweight Multi-Functional Composite Materials and Structures,
Beijing 100081, China
e-mail: liangjun@bit.edu.cn

1Corresponding authors.

Contributed by the Applied Mechanics Division of ASME for publication in the Journal of Applied Mechanics. Manuscript received April 6, 2019; final manuscript received May 17, 2019; published online June 11, 2019. Assoc. Editor: Caglar Oskay.

J. Appl. Mech 86(9), 091004 (Jun 11, 2019) (10 pages) Paper No: JAM-19-1168; doi: 10.1115/1.4043830 History: Received April 06, 2019; Accepted May 17, 2019

In the past decades, various novel functions (i.e., negative Poisson's ratio, zero thermal expansion) have been obtained by tailoring the microstructures of the cellular structures. Among all the microstructures, the horseshoe topology shows a J-shaped stress–strain curve, which is quite different from the conventional materials. It can be inferred that the 2D lattice structure with horseshoe microstructure will also exhibit excellent out-of-plane impact resistance since the spider silk also exhibits the J-shaped stress–strain curve. In this paper, the out-of-plane sphere impact of 2D truss lattice structure is conducted using finite element method (FEM) simulation. The point has been made that, by replacing the direct-line beam to horseshoe curved beam, the out-of-plane impact resistance has been greatly improved. The most curved beam structure is found to have the best out-of-plane performs with the maximum energy absorption and the minimum passing through velocity.

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Figures

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Fig. 1

Geometric description of sphere impact of 2D lattice structure

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Fig. 2

Mises stress during out-of-plane impact process

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Fig. 3

Velocity of the sphere and energy of the structure during the impact

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Fig. 4

Typical J-shaped stress–strain curve for (a) viscid silk from the spider's orb-web [22] (Reprinted with permission of Elsevier © 1986) and (b) nonlinear mechanics model of hierarchical lattice structures with horseshoe microstructure [18] (Reprinted under Creative Commons License CC BY 4.0)

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Fig. 5

Geometric configuration of horseshoe lattice structures

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Fig. 6

Theoretical model for the horseshoe microstructure: (a) deformation of half of the microstructure and (b) sign conventions of a unit length element

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Fig. 7

Force–displacement of horseshoe unit cells

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Fig. 8

Stress distribution before the failure of the structure

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Fig. 9

Comparison of failure displacement

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Fig. 10

Velocity curves for different structures

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Fig. 11

Cellular substrate design and its geometric construction: (a) A-1, (b) A-2, (c) A-3, (d) B-1, (e) B-2, and (f) B-3

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Fig. 12

Failure displacement of designed triangular (a) and hexagonal (b) horseshoe structures

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Fig. 13

Velocity curves for triangular (a) and hexagonal (b) structures

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Fig. 14

Energy absorption and specify energy absorption of triangular (a) and hexagonal (b) structures

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