A new Tabor's parameter ψ is defined for adhesion-delamination of thin membranes. A small ψ corresponds to a thick, small, and stiff membrane under the influence of a long-range weak surface force, as in the Derjaguin–Muller–Toporov (DMT) limit. A large ψ corresponds to a thin, large, and flexible membrane under the influence of a short-range strong surface force, as in the Johnson–Kendall–Roberts (JKR) limit. A new adhesion map based on ψ is drawn to summarize the “pull-off” events and the delamination trajectory for membranes under mixed stretching-bending deformation. Maps are generated for one- and two-dimensional membranes clamped at the edge.

References

1.
Johnson
,
K. L.
,
Kendall
,
K.
, and
Roberts
,
A. D.
,
1971
, “
Surface Energy and the Contact of Elastic Solids
,”
Proc. R. Soc. London
,
A324
(
1558
), pp.
301
313
.10.1098/rspa.1971.0141
2.
Derjaguin
,
B. V.
,
Muller
,
V. M.
, and
Toporov
,
Y. P.
,
1975
, “
Effect of Contact Deformations on the Adhesion of Particles
,”
J. Colloid Interface Sci.
,
53
(
2
), pp.
314
326
.10.1016/0021-9797(75)90018-1
3.
Tabor
,
D.
,
1977
, “
Surface Forces and Surface Interactions
,”
J. Colloid Interface Sci.
,
58
(
1
), pp.
2
13
.10.1016/0021-9797(77)90366-6
4.
Maugis
,
D.
,
1992
, “
The JKR-DMT Transition Using a Dugdale Model
,”
J. Colloid Interface Sci.
,
150
, pp.
243
269
.10.1016/0021-9797(92)90285-T
5.
Maugis
,
D.
,
2000
,
Contact, Adhesion and Rupture of Elastic Solids
,
Springer
,
New York
.
6.
Johnson
,
K. L.
, and
Greenwood
,
J. A.
,
1997
, “
An Adhesion Map for the Contact of Elastic Spheres
,”
J. Colloid Interface Sci.
,
192
(
2
), pp.
326
333
.10.1006/jcis.1997.4984
7.
Johnson
K. L.
, and
Greenwood
,
J. A.
,
2008
, “
A Maugis Analysis of Adhesive Line Contact
,”
J. Phys. D: Appl. Phys.
,
41
, p.
155315
.10.1088/0022-3727/41/15/155315
8.
Shi
,
J.
,
Müftü
,
S.
,
Gu
,
A. Z.
, and
Wan
,
K.-T.
,
2013
, “
Adhesion of a Cylindrical Shell in the Presence of DLVO Surface Potential
,”
ASME J. Appl. Mech.
,
80
(
6
), p.
061007
.10.1115/1.4023960
9.
Shi
,
J.
,
Müftü
,
S.
, and
Wan
,
K.-T.
,
2012
, “
Adhesion of a Compliant Cylindrical Shell Onto a Rigid Substrate
,”
ASME J. Appl. Mech.
,
79
(
7
), p.
041015
.10.1115/1.4005555
10.
Shi
,
J.
,
Robitaille
,
M.
,
Müftü
,
S.
, and
Wan
,
K.-T.
,
2012
, “
Deformation of a Convex Hydrogel Shell by Parallel Plate and Central Compression
,”
Exp. Mech.
,
52
(
5
), pp.
539
549
.10.1007/s11340-011-9514-z
11.
Li
,
G.
, and
Wan
,
K.-T.
,
2010
, “
Parameter Governing Thin Film Adhesion-Delamination in the Transition From DMT-Limit to JKR-Limit
,”
J. Adhes.
,
86
(
10
), pp.
969
981
.10.1080/00218464.2010.515470
12.
Li
,
G.
, and
Wan
,
K.-T.
,
2010
, “
Delamination Mechanics of a Clamped Rectangular Membrane in the Presence of Long-Range Intersurface Forces: Transition From JKR to DMT Limits
,”
J. Adhes.
,
86
(
3
), pp.
1
18
.10.1080/00218460903417651
13.
Wan
,
K.-T.
, and
Julien
,
S. E.
,
2009
, “
Confined Thin Film Delamination in the Presence of Intersurface Forces With Finite Range and Magnitude
,”
ASME J. Appl. Mech.
,
76
, p.
051005
.10.1115/1.3112745
14.
Wan
,
K.-T.
, and
Duan
,
J.
,
2002
, “
Adherence of a Rectangular Flat Punch Onto a Clamped Plate—Transition From a Rigid Plate to a Flexible Membrane
,”
ASME J. Appl. Mech.
,
69
, pp.
104
109
.10.1115/1.1432989
15.
Williams
,
J. G.
,
1997
, “
Energy Release Rates for the Peeling of Flexible Membranes and the Analysis of Blister Tests
,”
Int. J. Fract.
,
87
, pp.
265
288
.10.1023/A:1007314720152
16.
Liu
,
K.-K.
, and
Wan
,
K.-T.
,
2008
, “
Multi-Scale Mechanical Characterization of Freestanding Polymer Film Using Indentation
,”
Int. J. Matls. Res.
,
99
(
8
), pp.
862
864
.10.3139/146.101712
17.
Wan
,
K.-T.
,
2002
, “
Adherence of an Axisymmetric Flat Punch Onto a Clamped Circular Plate: Transition From a Rigid Plate to a Flexible Membrane
,”
ASME J. Appl. Mech.
,
69
, pp.
110
116
.10.1115/1.1433477
18.
Xu
,
D.
, and
Liechti
,
K. M.
,
2011
, “
Analytical and Experimental Study of a Circular Membrane in Adhesive Contact With a Rigid Substrate
,”
Int. J. Solids Struct.
,
48
(
20
), pp.
2965
2976
.10.1016/j.ijsolstr.2011.06.014
19.
Wan
,
K.-T.
,
Guo
,
S.
, and
Dillard
,
D. A.
,
2003
, “
A Theoretical and Numerical Study of a Thin Clamped Circular Film Under an External Load in the Presence of Residual Stress
,”
Thin Solid Films
,
425
, pp.
150
162
.10.1016/S0040-6090(02)01103-3
20.
Wan
,
K.-T.
,
1999
, “
Fracture Mechanics of a Shaft-Loaded Blister Test—Transition From a Bending Plate to a Stretching Membrane
,”
J. Adhes.
,
70
(
3–4
), pp.
209
219
.10.1080/00218469908009556
21.
Wan
,
K.-T.
,
1999
, “
Fracture Mechanics of a V-Peel Adhesion Test—Transition From a Bending Plate to a Stretching Membrane
,”
J. Adhes.
,
70
, pp.
197
207
.10.1080/00218469908009555
22.
Granger
,
D. N.
, and
Schmid-Schonbein
,
G. W.
, eds.,
1995
,
Physiology and Pathophysiology of Leukocyte Adhesion
,
Oxford University
,
New York
.
23.
Blount
,
M. J.
,
Miksis
,
M. J.
, and
Davis
,
S. H.
,
2013
, “
The Equilibria of Veiscles Adhered to Substrates by Short-Ranged Potentials
,”
Proc. R. Soc. London, Ser. A
,
469
(
2153
), p.
20120729
.10.1098/rspa.2012.0729
24.
Duan
,
G.
, and
Wan
,
K.-T.
,
2010
, “
‘Pull-In’ of a Pre-Stressed Thin Film by an Electrostatic Potential: A 1-D Rectangular Bridge and a 2-D Circular Diaphragm
,”
Int. J. Mech. Sci.
,
52
, pp.
1158
1166
.10.1016/j.ijmecsci.2010.04.005
You do not currently have access to this content.