Buckling of slender structures is traditionally regarded as a first route toward failure. Here, we provide an alternative perspective on a burgeoning movement where mechanical instabilities are exploited to devise new classes of functional mechanisms that make use of the geometrically nonlinear behavior of their postbuckling regimes. Selected examples are highlighted across length-scales to illustrate some of the exciting opportunities that lie ahead.

References

References
1.
Euler
,
L.
,
1744
,
Methodus Inveniendi Lineas Curvas Maximi Minimive Porprietate Gaudentes (Appendix, De Curvis Elasticis)
,
Marcum Michaelem Bosquet
,
Lausanne, Switzerland
.
2.
Timoshenko
,
S.
,
1953
,
History of Strength of Materials: With a Brief Account of the History of Theory of Elasticity and Theory of Structures
,
Dover Publications
,
Mineola, NY
.
3.
Bažant
,
Z.
and
Cedolin
,
L.
,
2010
,
Stability of Structures: Elastic, Inelastic, Fracture and Damage Theories
,
World Scientific
,
Singapore
.
4.
Bažant
,
Z.
,
2000
, “
Structural Stability
,”
Int. J. Solids Struct.
,
37
(
1
), pp.
55
67
.
5.
Amar
,
M.
, and
Pomeau
,
Y.
,
1997
, “
Crumpled Paper
,”
Proc. R. Soc. London A
,
453
(
1959
), pp.
729
755
.
6.
Cerda
,
E.
, and
Mahadevan
,
L.
,
1998
, “
Conical Surfaces and Crescent Singularities in Crumpled Sheets
,”
Phys. Rev. Lett.
,
80
(
11
), p.
2358
.
7.
Lobkovsky
,
A. E.
, and
Witten
,
T. A.
,
1997
, “
Properties of Ridges in Elastic Membranes
,”
Phys. Rev. E
,
55
(
2
), p.
1577
.
8.
Blair
,
D.
, and
Kudrolli
,
A.
,
2005
, “
Geometry of Crumpled Paper
,”
Phys. Rev. Lett.
,
94
(
16
), p.
166107
.
9.
Mao
,
S.
,
Wen
,
Z.
,
Kim
,
H.
,
Lu
,
G.
,
Hurley
,
P.
, and
Chen
,
J.
,
2012
, “
A General Approach to One-Pot Fabrication of Crumpled Graphene-Based Nanohybrids for Energy Applications
,”
ACS Nano
,
6
(
8
), pp.
7505
7513
.
10.
El Rouby
,
W.
,
2015
, “
Crumpled Graphene: Preparation and Applications
,”
R. Soc. Chem. Adv.
,
5
(
82
), pp.
66,767
66,796
.
11.
Blees
,
M.
,
Barnard
,
A.
,
Rose
,
P.
,
Roberts
,
S.
,
McGill
,
K.
,
Huang
,
P.
,
Ruyack
,
A.
,
Kevek
,
J.
,
Kobrin
,
B.
,
Muller
,
D.
, and
McEuen
,
P.
,
2015
, “
Graphene Kirigami
,”
Nature
,
524
(
7564
), pp.
204
207
.
12.
Miller
,
J.
,
Su
,
T.
,
Pabon
,
J.
,
Wicks
,
N.
,
Bertoldi
,
K.
, and
Reis
,
P.
,
2015
, “
Buckling of a Thin Elastic Rod Inside a Horizontal Cylindrical Constraint
,”
Extreme Mech. Lett.
,
3
, pp.
36
44
.
13.
Miller
,
J.
,
Mulcahy
,
C.
,
Pabon
,
J.
,
Wicks
,
N.
, and
Reis
,
P.
,
2015
, “
Extending the Reach of a Rod Injected Into a Cylinder Through Distributed Vibration
,”
ASME J. Appl. Mech.
,
82
(
2
), p.
021003
.
14.
Miller
,
J.
,
Su
,
T.
,
Pabon
,
J.
,
Wicks
,
N.
,
Bertoldi
,
K.
, and
Reis
,
P.
,
2015
, “
Buckling-Induced Lock-up of a Slender Rod Injected Into a Horizontal Cylinder
,”
Int. J. Solids Struct.
,
72
, pp.
153
164
.
15.
Hu
,
N.
, and
Burgueño
,
R.
,
2015
, “
Buckling-Induced Smart Applications: Recent Advances and Trends
,”
Smart Mater. Struct.
,
24
(
6
), p.
063001
.
16.
Kota
,
S.
,
2014
, “
Shape-Shifting Things to Come
,”
Sci. Am.
,
310
(
5
), pp.
58
65
.
17.
Terwagne
,
D.
,
Brojan
,
M.
, and
Reis
,
P.
,
2014
, “
Smart Morphable Surfaces for Aerodynamic Drag Control
,”
Adv. Mater.
,
26
(
38
), pp.
6608
6611
.
18.
Brojan
,
M.
,
Terwagne
,
D.
,
Lagrange
,
R.
, and
Reis
,
P.
,
2015
, “
Wrinkling Crystallography on Spherical Surfaces
,”
Proc. Natl. Acad. Sci. U.S.A.
,
112
(
1
), pp.
14
19
.
19.
Stoop
,
N.
,
Lagrange
,
R.
,
Terwagne
,
D.
,
Reis
,
P. M.
, and
Dunkel
,
J.
,
2015
, “
Curvature-Induced Symmetry Breaking Determines Elastic Surface Patterns
,”
Nat. Mater.
,
14
(
3
), pp.
337
342
.
20.
Shim
,
J.
,
Perdigou
,
C.
,
Chen
,
E.
,
Bertoldi
,
K.
, and
Reis
,
P.
,
2012
, “
Buckling-Induced Encapsulation of Structured Elastic Shells Under Pressure
,”
Proc. Natl. Acad. Sci. U.S.A.
,
109
(
16
), pp.
5978
5983
.
21.
Bertoldi
,
K.
,
Reis
,
P.
,
Willshaw
,
S.
, and
Mullin
,
T.
,
2010
, “
Negative Poisson’s Ratio Behavior Induced by an Elastic Instability
,”
Adv. Mat.
,
22
(
3
), pp.
361
366
.
22.
Lazarus
,
A.
, and
Reis
,
P.
,
2015
, “
Soft Actuation of Structured Cylinders Through Auxetic Behavior
,”
Adv. Eng. Mater.
,
17
(
6
), pp.
815
820
.
23.
Xu
,
S.
,
Yan
,
Z.
,
Jang
,
K.-I.
,
Huang
,
W.
,
Fu
,
H.
,
Kim
,
J.
,
Wei
,
Z.
,
Flavin
,
M.
,
McCracken
,
J.
,
Wang
,
R.
,
Badea
,
A.
,
Liu
,
Y.
,
Xiao
,
D.
,
Zhou
,
G.
,
Lee
,
J.
,
Chung
,
H. U.
,
Cheng
,
H.
,
Ren
,
W.
,
Banks
,
A.
,
Li
,
X.
,
Paik
,
U.
,
Nuzzo
,
R. G.
,
Huang
,
Y.
,
Zhang
,
Y.
, and
Rogers
,
J. A.
,
2015
. “
Assembly of Micro/Nanomaterials Into Complex, Three-Dimensional Architectures by Compressive Buckling
,”
Science
,
347
(
6218
), pp.
154
159
.
24.
Son
,
K.
,
Guasto
,
J.
, and
Stocker
,
R.
,
2013
, “
Bacteria Can Exploit a Flagellar Buckling Instability to Change Direction
,”
Nat. Phys.
,
9
(
8
), pp.
494
498
.
25.
Jawed
,
M.
,
Khouri
,
N.
,
Da
,
F.
,
Grinspun
,
E.
, and
Reis
,
P.
,
2015
, “
Propulsion and Instability of a Flexible Helical Rod Rotating in a Viscous Fluid
,”
Phys. Rev. Lett.
(in press); arXiv:1509.05373 [cond-mat.soft].
26.
Bergou
,
M.
,
Wardetzky
,
M.
,
Robinson
,
S.
,
Audoly
,
B.
, and
Grinspun
,
E.
,
2008
, “
Discrete Elastic Rods
,”
ACM Trans. Graph.
,
27
(
3
), p.
63
.
27.
Jawed
,
M.
,
Da
,
F.
,
Joo
,
J.
,
Grinspun
,
E.
, and
Reis
,
P.
,
2014
, “
Coiling of Elastic Rods on Rigid Substrates
,”
Proc. Natl. Acad. Sci.
,
111
(
41
), pp.
14,663
14,668
.
28.
Jawed
,
M.
, and
Reis
,
P.
,
2014
, “
Pattern Morphology in the Elastic Sewing Machine
,”
Extreme Mech. Lett.
,
1
, pp.
76
82
.
29.
Lazarus
,
A.
,
Miller
,
J.
, and
Reis
,
P.
,
2013
, “
Continuation of Equilibria and Stability of Slender Elastic Rods Using an Asymptotic Numerical Method
,”
J. Mech. Phys. Solids
,
61
(
8
), pp.
1712
1736
.
30.
Lazarus
,
A.
,
Miller
,
J.
,
Metlitz
,
M.
, and
Reis
,
P.
,
2013
, “
Contorting a Heavy and Naturally Curved Elastic Rod
,”
Soft Matter
,
9
(
34
), pp.
8274
8281
.
31.
Miller
,
J.
,
Lazarus
,
A.
,
Audoly
,
B.
, and
Reis
,
P.
,
2014
, “
Shapes of a Suspended Curly Hair
,”
Phys. Rev. Lett.
,
112
(
6
), p.
068103
.
32.
Cochelin
,
B.
,
1994
, “
A Path-Following Technique Via an Asymptotic-Numerical Method
,”
Comput. Struct.
,
53
(
5
), pp.
1181
1192
.
33.
Krieger
,
K.
,
2012
, “
Extreme Mechanics: Buckling Down
,”
Nature
,
488
(
7410
), pp.
146
147
.
34.
Huang
,
Y.
,
2014
,
private communication
.
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