The properties and behavior of a surface as well as its interaction with surrounding media depend on the inherent material constituency and the surface topography. Structured surface topography can be achieved via surface wrinkling. Through the buckling of a thin film of stiff material bonded to a substrate of a softer material, wrinkled patterns can be created by inducing compressive stress states in the thin film. Using this same principle, we show the ability to create wrinkled topologies consisting of a highly structured gradient in amplitude and wavelength, and one which can be actively tuned. The mechanics of graded wrinkling are revealed through analytical modeling and finite element analysis, and further demonstrated with experiments.

References

1.
Bechert
,
D.
,
Bruse
,
M.
, and
Hage
,
W.
,
2000
, “
Experiments With Three-Dimensional Riblets as an Idealized Model of Shark Skin
,”
Exp. Fluids
,
28
(
5
), pp.
403
412
.
2.
Bhushan
,
B.
,
2011
, “
Biomimetics Inspired Surfaces for Drag Reduction and Oleophobicity/Philicity
,”
Beilstein J. Nanotechnol.
,
2
, pp.
66
84
.
3.
Bixler
,
G.
, and
Bhushan
,
B.
,
2013
, “
Bioinspired Micro/Nanostructured Surfaces for Oil Drag Reduction in Closed Channel Flow
,”
Soft Matter
,
9
(
5
), pp.
1620
1635
.
4.
Bixler
,
G. D.
, and
Bhushan
,
B.
,
2013
, “
Fluid Drag Reduction and Efficient Self-Cleaning With Rice Leaf and Butterfly Wing Bioinspired Surfaces
,”
Nanoscale
,
5
(
17
), pp.
7685
7710
.
5.
Feng
,
L.
,
Li
,
S.
,
Li
,
Y.
,
Li
,
H.
,
Zhang
,
L.
,
Zhai
,
J.
,
Song
,
Y.
,
Liu
,
B.
,
Jiang
,
L.
, and
Zhu
,
D.
,
2002
, “
Super-Hydrophobic Surfaces: From Natural to Artificial
,”
Adv. Mater.
,
14
(
24
), pp.
1857
1860
.
6.
Zheng
,
Y.
,
Gao
,
X.
, and
Jiang
,
L.
,
2007
, “
Directional Adhesion of Superhydrophobic Butterfly Wings
,”
Soft Matter
,
3
(
2
), pp.
178
182
.
7.
Allen
,
H. G.
,
1993
,
Analysis and Design of Structural Sandwich Panels
(The Commonwealth and International Library: Structures and Solid Body Mechanics Division),
Pergamon Press
,
Oxford, UK
.
8.
Chen
,
X.
, and
Hutchinson
,
J. W.
,
2004
, “
Herringbone Buckling Patterns of Compressed Thin Films on Compliant Substrates
,”
ASME J. Appl. Mech.
,
71
(
5
), pp.
597
603
.
9.
Cao
,
Y.
, and
Hutchinson
,
J. W.
,
2012
, “
Wrinkling Phenomena in Neo-Hookean Film/Substrate Bilayers
,”
ASME J. Appl. Mech.
,
79
(
3
), p.
031019
.
10.
Yin
,
J.
,
Yagüe
,
J. L.
,
Eggenspieler
,
D.
,
Gleason
,
K. K.
, and
Boyce
,
M. C.
,
2012
, “
Deterministic Ordered Two-Dimensional Micro-Patterns of Thin Film on Soft Substrates Through Sequential Wrinkling
,”
Adv. Mater.
,
24
(
40
), pp.
5441
5446
.
11.
Jiang
,
H.
,
Khang
,
D.-Y.
,
Song
,
J.
,
Sun
,
Y.
,
Huang
,
Y.
, and
Rogers
,
J. A.
,
2007
, “
Finite Deformation Mechanics in Buckled Thin Films on Compliant Supports
,”
Proc. Natl. Acad. Sci. U. S. A.
,
104
(
40
), pp.
15607
15612
.
12.
Volynskii
,
A.
,
Bazhenov
,
S.
,
Lebedeva
,
O.
, and
Bakeev
,
N.
,
2000
, “
Mechanical Buckling Instability of Thin Coatings Deposited on Soft Polymer Substrates
,”
J. Mater. Sci.
,
35
(
3
), pp.
547
554
.
13.
Efimenko
,
K.
,
Rackaitis
,
M.
,
Manias
,
E.
,
Vaziri
,
A.
,
Mahadevan
,
L.
, and
Genzer
,
J.
,
2005
, “
Nested Self-Similar Wrinkling Patterns in Skins
,”
Nat. Mater.
,
4
(
4
), pp.
293
297
.
14.
Moon
,
M.
,
Lee
,
S.
,
Sun
,
J.
,
Oh
,
K.
,
Vaziri
,
A.
, and
Hutchinson
,
J.
,
2007
, “
Wrinkled Hard Skins on Polymers Created by Focused Ion Beam
,”
Proc. Natl. Acad. Sci.
,
104
(
4
), pp.
1130
1133
.
15.
Southern
,
E.
, and
Thomas
,
A.
,
1965
, “
Effect of Constraints on the Equilibrium Swelling of Rubber Vulcanizates
,”
J. Polym. Sci., Part A: Gen. Pap.
,
3
(
2
), pp.
641
646
.
16.
Wang
,
L.
,
Pai
,
C.-L.
,
Boyce
,
M. C.
, and
Rutledge
,
G. C.
,
2009
, “
Wrinkled Surface Topographies of Electrospun Polymer Fibers
,”
Appl. Phys. Lett.
,
94
(
15
), p.
151916
.
17.
Chan
,
E.
,
Smith
,
E.
,
Hayward
,
R.
, and
Crosby
,
A.
,
2008
, “
Surface Wrinkles for Smart Adhesion
,”
Adv. Mater.
,
20
(
4
), pp.
711
716
.
18.
Bowden
,
N.
,
Brittain
,
S.
, and
Evans
,
A.
,
1998
, “
Spontaneous Formation of Ordered Structures in Thin Films of Metals Supported on an Elastomeric Polymer
,”
Nature
,
393
, pp.
146
149
.
19.
Chen
,
X.
, and
Yin
,
J.
,
2010
, “
Buckling Patterns of Thin Films on Curved Compliant Substrates With Applications to Morphogenesis and Three-Dimensional Micro-Fabrication
,”
Soft Matter
,
6
(
22
), pp.
5667
5680
.
20.
Davis
,
C. S.
, and
Crosby
,
A. J.
,
2012
, “
Wrinkle Morphologies With Two Distinct Wavelengths
,”
J. Polym. Sci., Part B: Polym. Phys.
,
50
(
17
), pp.
1225
1232
.
21.
Schweikart
,
A.
, and
Fery
,
A.
,
2009
, “
Controlled Wrinkling as a Novel Method for the Fabrication of Patterned Surfaces
,”
Microchim. Acta
,
165
(
3–4
), pp.
249
263
.
22.
Cerda
,
E.
, and
Mahadevan
,
L.
,
2003
, “
Geometry and Physics of Wrinkling
,”
Phys. Rev. Lett.
,
90
(
7
), p.
074302
.
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