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Research Articles

Surface Effects on the Mechanical Behavior of Buckled Thin Film

[+] Author and Article Information
Yong Wang

Applied Mechanics Laboratory,
Department of Engineering Mechanics,
Tsinghua University,
Beijing, 100084, China;
Department of Engineering Mechanics,
Zhejiang University,
Hangzhou, 310027, China

Xue Feng

Applied Mechanics Laboratory,
Department of Engineering Mechanics,
Tsinghua University,
Beijing, 100084, China;
State Key Laboratory of Structural Analysis for
Industrial Equipment, Dalian
University of Technology,
Dalian 116024, China
e-mail: fengxue@tsinghua.edu.cn

Bingwei Lu

Applied Mechanics Laboratory,
Department of Engineering Mechanics,
Tsinghua University,
Beijing, 100084, China

Gangfeng Wang

Strength and Vibration Laboratory,
Department of Engineering Mechanics,
Xi'an Jiaotong University,
Xi'an, 710049, China

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the Journal of Applied Mechanics. Manuscript received April 8, 2011; final manuscript received June 14, 2012; accepted manuscript posted September 25, 2012; published online January 15, 2013. Editor: Yonggang Huang.

J. Appl. Mech 80(2), 021002 (Jan 15, 2013) (9 pages) Paper No: JAM-11-1116; doi: 10.1115/1.4007681 History: Received April 08, 2011; Revised June 14, 2012; Accepted September 25, 2012

The buckling of thin films with natural nonlinearity can provide a useful tool in many applications. In the present paper, the mechanical properties of controllable buckling of thin films are investigated by accounting for both geometric nonlinearity and surface effects at nanoscale. The effects of surface elasticity and residual surface tension on both static and dynamic behaviors of buckled thin films are discussed based on the surface-layer-based model. The dynamic design strategy for buckled thin films as interconnects in flexible electronics is proposed to avoid resonance in a given noise environment based on the above analysis. Further discussion shows that the thermal and piezoelectric effects on mechanical behavior of buckled thin film are equivalent to that of residual surface tension.

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Figures

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Fig. 1

Schematic diagram of buckled thin films. (a) SEM picture of island-interconnector structure [17]; (b) the interconnector is modeled as thin film with fixed-fixed constraints; (c) rectangular cross section of thin film with surface layers.

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Fig. 2

The relation of nondimensional buckled amplitude 2c11 to the normalized prestrain ε0/εc when surface effects are ignored. (a) ε0/εc less than 10; (b) ε0/εc greater than 100.

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Fig. 3

The relation of nondimensional buckled amplitude 2c11 to surface elasticity α. (a) ε0/εc = 4; (b) ε0/εc = 104.

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Fig. 4

The relation of nondimensional buckled amplitude 2c11 to residual surface tension β. (a) Small prestrain ε0; (b) large prestrain ε0.

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Fig. 5

The relation of nondimensional natural frequencies ωi, normalized by associated natural frequencies ωi0 when ignoring surface effects, to surface elasticity α. (a) ε0/εc = 4; (b) ε0/ εc = 104.

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Fig. 6

The relation of nondimensional natural frequencies ωi, normalized by associated natural frequencies ωi0 when ignoring surface effects, to residual surface tension β. (a) Small prestrain ε0; (b) large prestrain ε0.

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Fig. 7

The selection of length and thickness to avoid resonance in given noise circumstance (UNR: unresonance, 1st R: first-order resonance, 2nd: second-order resonance)

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