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.
Issue Section:
Research Papers
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.1971.01412.
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)90018-13.
Tabor
, D.
, 1977
, “Surface Forces and Surface Interactions
,” J. Colloid Interface Sci.
, 58
(1
), pp. 2
–13
.10.1016/0021-9797(77)90366-64.
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-T5.
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.1997.49847.
Johnson
K. L.
, and Greenwood
, J. A.
, 2008
, “A Maugis Analysis of Adhesive Line Contact
,” J. Phys. D: Appl. Phys.
, 41
, p. 155315
.10.1088/0022-3727/41/15/1553158.
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
.10.1115/1.40239609.
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
.10.1115/1.400555510.
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-z11.
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
.10.1080/00218464.2010.51547012.
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
.10.1080/0021846090341765113.
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
.10.1115/1.311274514.
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
.10.1115/1.143298915.
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:100731472015216.
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
.10.3139/146.10171217.
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
.10.1115/1.143347718.
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.2011.06.01419.
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)01103-320.
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
.10.1080/0021846990800955621.
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
.10.1080/0021846990800955522.
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.2012.072924.
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.2010.04.005Copyright © 2014 by ASME
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