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Research Papers

A Finite-Deformation Mechanics Theory for Kinetically Controlled Transfer Printing

[+] Author and Article Information
Xue Feng

Center for Mechanics and Materials,
Tsinghua University,
Beijing 100084, China
AML, Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China
e-mail: fengxue@tsinghua.edu.cn

Huanyu Cheng

Department of Mechanical Engineering,
Northwestern University,
Evanston, IL 60208

Audrey M. Bowen, Ralph G. Nuzzo

Department of Chemistry,
University of Illinois,
Urbana, IL 61801

Andrew W. Carlson

Department of Materials Science
and Engineering,
University of Illinois,
Urbana, IL 61801

John A. Rogers

Department of Chemistry,
University of Illinois,
Urbana, IL 61801
Department of Materials Science
and Engineering,
University of Illinois,
Urbana, IL 61801

1Corresponidng author.

Manuscript received December 21, 2012; final manuscript received December 24, 2012; accepted manuscript posted Marach 6, 2013; published online August 21, 2013. Editor: Yonggang Huang.

J. Appl. Mech 80(6), 061023 (Aug 21, 2013) (5 pages) Paper No: JAM-12-1567; doi: 10.1115/1.4023963 History: Received December 21, 2012; Revised December 24, 2012; Accepted March 06, 2013

Abstract

The widely used steady-state energy release rate G = F/w is extended to account for the elastic energy of deformed compliant stamps, e.g., low-modulus poly(dimethyl siloxane) (PDMS). An analytical expression for the energy release rate is obtained to quantify interfacial adhesion strength in tape peeling tests, and to analyze the dynamics of kinetically controlled transfer printing. The critical delamination velocity to separate retrieval and printing is related to the critical energy release rate and the tensile stiffness of the stamp. Experimental results validate the analytical expression established by the mechanics model.

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Figures

Grahic Jump Location
Fig. 4

The critical retrieval/printing peeling forces (per unit width) F/w as a function of the delamination velocity vd for E = 1.7 MPa, hstamp = 1 mm, Efilm = 150 GPa, and hfilm = 100 nm. The intercept of the two curves gives the critical delamination velocity.

Grahic Jump Location
Fig. 3

Comparison of the energy release rates calculated from Eq. (7) and G = F/w for different delamination velocities vd. The experimental measurements were obtained from PDMS stamps with different Young's modulus of 1.7, 0.3, and 0.03 MPa, respectively (the thicknesses are kept the same).

Grahic Jump Location
Fig. 5

The critical peeling force (per unit width) F/w and the critical delamination velocity vcrit as functions of the tensile stiffness of the stamp per unit width EA¯/w, for the Young's modulus of stamps of 1.7, 0.3, and 0.03 MPa and the thickness of gold films of 100 nm and 10 μm, respectively

Grahic Jump Location
Fig. 2

Deformation of the peeling arm for beam theory, where X–Y is the global coordinate and x–y is the local coordinate

Grahic Jump Location
Fig. 1

Schematic illustrations of (a) retrieval and (b) printing of a thin film. F is the applied peeling force; vp and vd are the peeling and delamination velocities.

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