Adherence of a Rectangular Flat Punch Onto a Clamped Plate: Transition From a Rigid Plate to a Flexible Membrane

[+] Author and Article Information
K.-T. Wan

Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Norris Hall 106, Mail Code 0219, Blacksburg, VA 24061e-mail: kwan@vt.edu

J. Duan

School of Mechanical and Production Engineering, Nanyang Technology University, Nanyang Avenue, Singapore 639798

J. Appl. Mech 69(2), 104-109 (Oct 15, 2001) (6 pages) doi:10.1115/1.1432989 History: Received February 12, 2001; Revised October 15, 2001
Copyright © 2002 by ASME
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A rectangular punch adhered onto a thin film constrained at two opposite ends
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Constitutive relations for various λ without delamination (solid lines) and the limiting cases of pure bending and stretching (dotted lines). The gradient n=1 in the bending dominant region and becomes 3 in the stretching dominant region. An intermediate transition zone with 1≤n≤3 lies between 0.1≤ω0≤10.
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Constitutive relations for various λ with delamination (dark solid lines) and without delamination (gray lines). The dotted lines represent the bending and stretching limits. As delamination propagates, the curve ABCDE cuts through all gray curves of different λ. The theoretical pure bending (monotonic decreasing) and pure stretching (horizontal) limits are shown as dashed lines.
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The normalized critical force φ and normalized punch displacement ω0 at “pull-off” as functions of a normalized adhesion strength Γ* , along with the pure bending and pure stretching limits (dashed lines).
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Typical data of F(w0) for (a) cross-head speed of 1 mm.min−1 and 1 (solid curve), 2 (dashed curve) and 3 (dotted curve) layers of film, (b) single layer at cross-head speed of 1 mm.min−1 (circles), 2 mm.min−1 (squares), and 5 mm.min−1 (triangles) and (c) single layer at cross-head speed of 1 mm.min−1 for a weak interface. Note the change of scale in (c).
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(a) The measured pull-off force F and (b) pull-off punch displacement w0 as a function of number of film layers in log-log plots for cross head speeds of 1 mm.min−1 (circles), 2 m.min−1 (triangles) and 5 mm.min−1 (squares). The theoretical curves with γ=60 J.m−2 (solid lines), and the upper and lower limits (dashed lines) for Δγ=10J.m−2 are also shown.




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