Research Papers

The Energy Absorption Behavior of Cruciforms Designed by Kirigami Approach

[+] Author and Article Information
Caihua Zhou, Shizhao Ming, Tong Li, Mingfa Ren

State Key Laboratory of Structural Analysis for
Industrial Equipment,
Department of Engineering Mechanics,
Dalian University of Technology,
Dalian 116024, China

Bo Wang

State Key Laboratory of Structural Analysis for
Industrial Equipment,
Department of Engineering Mechanics,
Dalian University of Technology,
Dalian 116024, China
e-mail: wangbo@dlut.edu.cn

1Corresponding author.

Manuscript received June 26, 2018; final manuscript received August 23, 2018; published online October 1, 2018. Assoc. Editor: Junlan Wang.

J. Appl. Mech 85(12), 121008 (Oct 01, 2018) (14 pages) Paper No: JAM-18-1369; doi: 10.1115/1.4041317 History: Received June 26, 2018; Revised August 23, 2018

The cruciforms are widely employed as energy absorbers in ships and offshore structures, or basic components in sandwich panel and multicell structure. The kirigami approach is adopted in the design of cruciform in this paper for the following reasons. First, the manufacture process is simplified. Second, it can alter the stiffness distribution of a structure to trigger desirable progressive collapse modes (PCMs). Third, the kirigami pattern can be referred as a type of geometric imperfection to lower the initial peak force during impact. Experiments and numerical simulations were carried out to validate the effectiveness of kirigami approach for cruciform designs. Numerical simulations were carried out to perform comparative and parametric analyses. The comparative studies among single plate (SP), single plate with kirigami pattern (SPKP), and kirigami cruciform (KC) show that the normalized mean crushing force of KC is nearly two times higher than those of SP and SPKP, whereas the normalized initial peak force of KC reduces by about 20%. In addition, the parametric analyses suggest that both the parameters controlling the overall size (i.e., the global slenderness and local slenderness) and those related to the kirigami pattern (i.e., the length ratio and the relative position ratio) could significantly affect the collapse behavior of the cruciforms.

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Fig. 1

The application of cruciforms in (a) sandwich structure and (b) ship structure

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Fig. 2

(a) The geometry of kirigami pattern on a panel used to manufacture a cruciform, (b) the assembly process of a cruciform, (c) the geometry of a cruciform, (d) the sandwich structure with cruciform cores, and (e) the multicell tube with cruciform core

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Fig. 3

The comparison of deformation between (a) a single plate without kirigami pattern and contact constraint and (b) a plate with kirigami pattern in the lower part and with additional contact constraint on the longitudinal axis in the upper part caused by the other plate in kirigami cruciform

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Fig. 4

The material specimen and its real stress–strain curve

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Fig. 5

Specimens C1 and C2

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Fig. 11

Force versus displacement curves obtained from experiments on C1, C2, and numerical simulation

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Fig. 10

The bending amplitude of four longitudinal lines, (a) L1 and L2 in C1 and (b) L3 and L4 in C2 (Note: the positions of L1, L2, L3, and L4 are found in Figs. 9(a) and 9(b)). Note: the notation W represents the bending amplitude.

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Fig. 9

Crushing process and collapse mode obtained from experiments on (a) C1, (b) C2, and (c) numerical simulation (Note: the stain field on the surfaces of C1 and C2 is calculated by VIC-3D system. The numerical simulation in Fig. 9(c) shows the plastic strain in the Y direction).

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Fig. 8

The ratios Ea/Ei and Ek/Ei versus displacement δ curves of KC in Fig. 7

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Fig. 7

The representative compression scenario

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Fig. 6

Experimental setup

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Fig. 12

Unnormalized and normalized curves on crushing force: (a) crushing force P versus compression distance δ curves of SP, SPKP, and KC, (b) normalized crushing force P̃ versus normalized compression distance 2δ/3H curves of SPKP and KC

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Fig. 13

(a) Models A15 to A40, (b) Pm and Pmax versus a/b curves and collapse modes, and (c) P̃m and P̃max versus a/b curves and the simple diagrams of plates in A20 and A25

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Fig. 14

(a) Models D10 to D90, (b) Pm and Pmax versus θ curves and collapse modes, and (c) P̃m and P̃max versus θ curves and the simple diagrams of plates in D30, D40, D80, and D90

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Fig. 15

(a) Models T30 to T5, (b) Pm and Pmax versus b/t curves and the collapse modes, and (c) P̃m and P̃max versus b/t curves and the simple diagrams of plates in T25, T20, T10, and T5

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Fig. 17

(a) The kirigami pattern of KCs from H0 to H9 (left) and H0 to H99 (right), (b) the top view of KCs from H0 to H9 (top) and H0 to H99 (bottom), (c) P̃m and P̃max versus h1/a curves of KCs from H0 to H9, and (d) P̃m and P̃max versus h1/a and h2/a curves of KCs from H0 to H99

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Fig. 16

(a) Models C2–C14, (b) P̃m and P̃max versus c1/a curves of KCs from C2 to C14, and (c) the crushed configurations of C10 and C12



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