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.
Issue Section:
Research Papers
References
1.
Lu
, G.
, and Yu
, T.
, 2003
, Energy Absorption of Structures and Materials
, Elsevier
, CRC-Woodhead, Cambridge, UK.2.
Marjanishvili
, S. M.
, 2004
, “Progressive Analysis Procedure for Progressive Collapse
,” J. Perform. Constr. Facil.
, 18
(2
), pp. 79
–85
.3.
Arnold
, B.
, and Altenhof
, W.
, 2004
, “Experimental Observations on the Crush Characteristics of AA6061 T4 and T6 Structural Square Tubes With and Without Circular Discontinuities
,” Int. J. Crashworthiness
, 9
(1
), pp. 73
–87
.4.
Karagiozova
, D.
, and Jones
, N.
, 2008
, “On the Mechanics of the Global Bending Collapse of Circular Tubes Under Dynamic Axial Load—Dynamic Buckling Transition
,” Int. J. Impact Eng.
, 35
(5
), pp. 397
–424
.5.
Isaac
, C. W.
, and Oluwole
, O.
, 2016
, “Energy Absorption Improvement of Circular Tubes With Externally Press-Fitted Ring Around Tube Surface Subjected Under Axial and Oblique Impact Loading
,” Thin-Walled Struct.
, 109
, pp. 352
–366
.6.
Li
, J.
, Gao
, G.
, Guan
, W.
, Wang
, S.
, and Yu
, Y.
, 2018
, “Experimental and Numerical Investigations on the Energy Absorption of Shrink Circular Tube Under Quasi-Static Loading
,” Int. J. Mech. Sci.
, 137
, pp. 284
–294
.7.
Fan
, Z.
, Lu
, G.
, Yu
, T. X.
, and Liu
, K.
, 2013
, “Axial Crushing of Triangular Tubes
,” Int. J. Appl. Mech.
, 05
(1
), p. 1350008
.8.
Wierzbicki
, T.
, and Abramowicz
, W.
, 1983
, “On the Crushing Mechanics of Thin-Walled Structures
,” ASME J. Appl. Mech.
, 50
(4a
), pp. 727
–734
.9.
Zhang
, X.
, and Zhang
, H.
, 2012
, “Experimental and Numerical Investigation on Crush Resistance of Polygonal Columns and Angle Elements
,” Thin-Walled Struct
, 57
, pp. 25
–36
.10.
Mamalis
, A. G.
, Manolakos
, D. E.
, Ioannidis
, M. B.
, Kostazos
, P. K.
, and Dimitriou
, C.
, 2003
, “Finite Element Simulation of the Axial Collapse of Metallic Thin-Walled Tubes With Octagonal Cross-Section
,” Thin-Walled Struct.
, 41
(10
), pp. 891
–900
.11.
Besseling
, J. F.
, 1956
, “Analysis of the Plastic Collapse of a Cruciform Column With Initial Twist, Loaded in Compression
,” J. Aeronaut. Sci.
, 23
(1
), pp. 49
–53
.12.
Haris
, S.
, and Amdahl
, J.
, 2012
, “Crushing Resistance of a Cruciform and Its Application to Ship Collision and Grounding
,” Ships Offshore Struct.
, 7
(2
), pp. 185
–195
.13.
Yamada
, Y.
, and Pedersen
, P.
, 2008
, “A Benchmark Study of Procedures for Analysis of Axial Crushing of Bulbous Bows
,” Mar. Struct.
, 21
(2–3
), pp. 257
–293
.14.
Zhang
, X.
, and Zhang
, H.
, 2015
, “The Crush Resistance of Four-Panel Angle Elements
,” Int. J. Impact Eng.
, 78
, pp. 81
–97
.15.
Zhang
, X.
, and Zhang
, H.
, 2013
, “Energy Absorption Limit of Plates in Thin-Walled Structures Under Compression
,” Int. J. Impact Eng.
, 57
, pp. 81
–98
.16.
Lee
, S.
, Hahn
, C. S.
, Rhee
, M.
, and Oh
, J. E.
, 1999
, “Effect of Triggering on the Energy Absorption Capacity of Axially Compressed Aluminum Tubes
,” Mater. Des.
, 20
(1
), pp. 31
–40
.17.
Bandi
, P.
, Detwiler
, D.
, Schmiedeler
, J. P.
, and Tovar
, A.
, 2015
, “Design of Progressively Folding Thin-Walled Tubular Components Using Compliant Mechanism Synthesis
,” Thin-Walled Struct.
, 95
, pp. 208
–220
.18.
DiPaolo
, B. P.
, Monteiro
, P. J. M.
, and Gronsky
, R.
, 2004
, “Quasi-Static Axial Crush Response of a Thin-Wall, Stainless Steel Box Component
,” Int. J. Solids Struct.
, 41
(14
), pp. 3707
–3733
.19.
Ma
, J.
, and You
, Z.
, 2014
, “Energy Absorption of Thin-Walled Square Tubes With a Prefolded Origami Pattern-Part I: Geometry and Numerical Simulation
,” ASME J. Appl. Mech.
, 81
(1
), p. 011003
.20.
Zhou
, C.
, Wang
, B.
, Ma
, J.
, and You
, Z.
, 2016
, “Dynamic Axial Crushing of Origami Crash Boxes
,” Int. J. Mech. Sci.
, 118
, pp. 1
–12
.21.
Zhou
, C.
, Zhou
, Y.
, and Wang
, B.
, 2017
, “Crashworthiness Design for Trapezoid Origami Crash Boxes
,” Thin-Walled Struct.
, 117
, pp. 257
–267
.22.
Zhou
, C.
, Jiang
, L.
, Tian
, K.
, Bi
, X.
, and Wang
, B.
, 2017
, “Origami Crash Boxes Subjected to Dynamic Oblique Loading
,” ASME J. Appl. Mech.
, 84
(9
), p. 091006
.23.
Azarakhsh
, S.
, and Ghamarian
, A.
, 2017
, “Collapse Behavior of Thin-Walled Conical Tube Clamped at Both Ends Subjected to Axial and Oblique Loads
,” Thin-Walled Struct.
, 112
, pp. 1
–11
.24.
Zhang
, H.
, and Zhang
, X.
, 2016
, “Crashworthiness Performance of Conical Tubes With Nonlinear Thickness Distribution
,” Thin-Walled Struct.
, 99
, pp. 35
–44
.25.
Zhang
, X.
, Zhang
, H.
, and Wen
, Z.
, 2015
, “Axial Crushing of Tapered Circular Tubes With Graded Thickness
,” Int. J. Mech. Sci.
, 92
, pp. 12
–23
.26.
Zhou
, C. H.
, Wang
, B.
, Luo
, H. Z.
, Chen
, Y. W.
, Zeng
, Q. H.
, and Zhu
, S. Y.
, 2017
, “Quasi-Static Axial Compression of Origami Crash Boxes
,” Int. J. Appl. Mech.
, 09
(5
), p. 1750066
.27.
Yang
, K.
, Xu
, S.
, Zhou
, S.
, and Xie
, Y. M.
, 2018
, “Multi-Objective Optimization of Multi-Cell Tubes With Origami Patterns for Energy Absorption
,” Thin-Walled Struct.
, 123
, pp. 100
–113
.28.
Yang
, K.
, Xu
, S.
, Shen
, J.
, Zhou
, S.
, and Xie
, Y. M.
, 2016
, “Energy Absorption of Thin-Walled Tubes With Pre-Folded Origami Patterns: Numerical Simulation and Experimental Verification
,” Thin-Walled Struct.
, 103
, pp. 33
–44
.29.
Shyu
, T. C.
, Damasceno
, P. F.
, Dodd
, P. M.
, Lamoureux
, A.
, Xu
, L.
, Shlian
, M.
, Shtein
, M.
, Glotzer
, S. C.
, and Kotov
, N. A.
, 2015
, “A Kirigami Approach to Engineering Elasticity in Nanocomposites Through Patterned Defects
,” Nat. Mater.
, 14
(8
), pp. 785
–789
.30.
Zhang
, Y.
, Yan
, Z.
, Nan
, K.
, Xiao
, D.
, Liu
, Y.
, Luan
, H.
, Fu
, H.
, Wang
, X.
, Yang
, Q.
, Wang
, J.
, Ren
, W.
, Si
, H.
, Liu
, F.
, Yang
, L.
, Li
, H.
, Wang
, J.
, Guo
, X.
, Luo
, H.
, Wang
, L.
, Huang
, Y.
, and Rogers
, J. A.
, 2015
, “A Mechanically Driven Form of Kirigami as a Route to 3D Mesostructures in Micro/Nanomembranes
,” Proc. Natl. Acad. Sci. U. S. A.
, 112
(38
), pp. 11757
–11764
.31.
Blees
, M. K.
, Barnard
, A. W.
, Rose
, P. A.
, Roberts
, S. P.
, McGill
, K. L.
, Huang
, P. Y.
, Ruyack
, A. R.
, Kevek
, J. W.
, Kobrin
, B.
, Muller
, D. A.
, and McEuen
, P. L.
, 2015
, “Graphene Kirigami
,” Nature
, 524
(7564
), pp. 204
–207
.32.
Xue
, R.
, Li
, R.
, Du
, Z.
, Zhang
, W.
, Zhu
, Y.
, Sun
, Z.
, and Guo
, X.
, 2017
, “Kirigami Pattern Design of Mechanically Driven Formation of Complex 3D Structures Through Topology Optimization
,” Extreme Mech. Lett.
, 15
, pp. 139
–144
.33.
Xu
, L.
, Shyu
, T. C.
, and Kotov
, N. A.
, 2017
, “Origami and Kirigami Nanocomposites
,” ACS Nano
, 11
(8
), pp. 7587
–7599
.34.
Del Broccolo
, S.
, Laurenzi
, S.
, and Scarpa
, F.
, 2017
, “AUXHEX – A Kirigami Inspired Zero Poisson's Ratio Cellular Structure
,” Compos. Struct.
, 176
, pp. 433
–441
.35.
Chen
, Y.
, Scarpa
, F.
, Remillat
, C.
, Farrow
, I.
, Liu
, Y.
, and Leng
, J.
, 2013
, “Curved Kirigami SILICOMB Cellular Structures With Zero Poisson's Ratio for Large Deformations and Morphing
,” J. Intell. Mater. Syst. Struct.
, 25
(6
), pp. 731
–743
.36.
Virk
, K.
, Monti
, A.
, Trehard
, T.
, Marsh
, M.
, Hazra
, K.
, Boba
, K.
, Remillat
, C. D. L.
, Scarpa
, F.
, and Farrow
, I. R.
, 2013
, “SILICOMB PEEK Kirigami Cellular Structures: Mechanical Response and Energy Dissipation Through Zero and Negative Stiffness
,” Smart Mater. Struct.
, 22
(8
), p. 084014
.37.
Lamoureux
, A.
, Lee
, K.
, Shlian
, M.
, Forrest
, S. R.
, and Shtein
, M.
, 2015
, “Dynamic Kirigami Structures for Integrated Solar Tracking
,” Nat. Commun.
, 6
(1
), p. 8092
.38.
Dias
, M. A.
, McCarron
, M. P.
, Rayneau-Kirkhope
, D.
, Hanakata
, P. Z.
, Campbell
, D. K.
, Park
, H. S.
, and Holmes
, D. P.
, 2017
, “Kirigami Actuators
,” Soft Matter
, 13
(48
), pp. 9087
–9092
.39.
Scarpa
, F.
, Ouisse
, M.
, Collet
, M.
, and Saito
, K.
, 2013
, “Kirigami Auxetic Pyramidal Core: Mechanical Properties and Wave Propagation Analysis in Damped Lattice
,” ASME J. Vib. Acoust.
, 135
(4
), p. 041001
.40.
Fathers
, R. K.
, Gattas
, J. M.
, and You
, Z.
, 2015
, “Quasi-Static Crushing of Eggbox, Cube, and Modified Cube Foldcore Sandwich Structures
,” Int. J. Mech. Sci.
, 101–102
, pp. 421
–428
.41.
Dharmasena
, K. P.
, Wadley
, H. N. G.
, Xue
, Z.
, and Hutchinson
, J. W.
, 2008
, “Mechanical Response of Metallic Honeycomb Sandwich Panel Structures to High-Intensity Dynamic Loading
,” Int. J. Impact Eng.
, 35
(9
), pp. 1063
–1074
.42.
Karagiozova
, D.
, and Alves
, M. L.
, 2004
, “Transition From Progressive Buckling to Global Bending of Circular Shells Under Axial Impact––Part I: Experimental and Numerical Observations
,” Int. J. Solids Struct
, 41
(5–6
), pp. 1565
–1580
.43.
Pan
, B.
, Qian
, K.
, Xie
, H.
, and Asundi
, A.
, 2009
, “Two-Dimensional Digital Image Correlation for in-Plane Displacement and Strain Measurement: A Review
,” Meas. Sci. Technol.
, 20
(6
), p. 062001
.44.
ABAQUS
, 2013
, “ABAQUS Analysis User's Guide, Documentation Version 6.13
,” Dassault Systems Simulia Corp, Providence, RI.Copyright © 2018 by ASME
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