Spiral surface patterns endow materials with unique properties and functions. Surface wrinkling in a system consisting of a thin film on a compliant substrate subjected to surface torsion is explored. We find that each spiral wrinkle has the shape of an Archimedean spiral curve. A scaling law is derived to characterize the correlation between the wavenumber and the properties of the system. Both experiments and numerical simulations are performed to validate the scaling relation. Our results foresee the feasibility of fabricating spiral patterns by wrinkling-based techniques and have potential applications in the measurement of local mechanical properties of inhomogeneous soft materials.

1.
J.
Genzer
and
J.
Groenewold
,
Soft Matter
2
,
310
(
2006
).
2.
E.
Cerda
and
L.
Mahadevan
,
Phys. Rev. Lett.
90
,
074302
(
2003
).
3.
B.
Li
,
F.
Jia
,
Y. P.
Cao
,
X. Q.
Feng
, and
H.
Gao
,
Phys. Rev. Lett.
106
,
234301
(
2011
);
[PubMed]
B.
Li
,
Y. P.
Cao
,
X. Q.
Feng
, and
H. J.
Gao
,
J. Mech. Phys. Solids
59
,
758
(
2011
).
4.
B.
Li
,
Y. P.
Cao
,
X. Q.
Feng
, and
H. J.
Gao
,
Soft Matter
8
,
5728
(
2012
).
5.
J.
Jones
,
S. P.
Lacour
,
S.
Wagner
, and
Z.
Suo
,
Mater. Res. Soc. Symp. Proc.
769
,
189
(
2003
).
6.
J. Y.
Chung
,
J. P.
Youngblood
, and
C. M.
Stafford
,
Soft Matter
3
,
1163
(
2007
).
7.
J.
Huang
,
M.
Juszkiewicz
,
W. H.
de Jeu
,
E.
Cerda
,
T.
Emrick
,
N.
Menon
, and
T. P.
Russell
,
Science
317
,
650
(
2007
).
8.
Z. Y.
Huang
,
W.
Hong
, and
Z.
Suo
,
J. Mech. Phys. Solids
53
,
2101
(
2005
).
9.
H.
Mei
,
C. M.
Landis
, and
R.
Huang
,
Mech. Mater.
43
,
627
(
2011
).
10.
N.
Bowden
,
S.
Brittain
,
A. G.
Evans
,
J. W.
Hutchinson
, and
G. M.
Whitesides
,
Nature
393
,
146
(
1998
).
11.
X.
Chen
and
J. W.
Hutchinson
,
J. Appl. Mech.
71
,
597
(
2004
).
12.
P. C.
Lin
and
S.
Yang
,
Soft Matter
5
,
1011
(
2009
).
13.
J. Y.
Chung
,
A. J.
Nolte
, and
C. M.
Stafford
,
Adv. Mater.
21
,
1358
(
2009
).
14.
Z.
Chang
and
G. K.
Hu
,
Appl. Phys. Lett.
101
,
054102
(
2012
).
15.
M. A.
Biot
,
J. Appl. Mech.
4
,
A1
(
1937
).
16.
D.
Vella
,
M.
Adda-Bedia
, and
E.
Cerda
,
Soft Matter
6
,
5778
(
2010
).
18.
Y. P.
Cao
and
J. W.
Hutchinson
,
J. Appl. Mech.
79
,
031019
(
2012
).
19.
F.
Brau
,
H.
Vandeparre
,
A.
Sabbah
,
C.
Poulard
,
A.
Boudaoud
, and
P.
Damman
,
Nat. Phys.
7
,
56
(
2011
).
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