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Research Papers

Lateral Buckling of Interconnects in a Noncoplanar Mesh Design for Stretchable Electronics

[+] Author and Article Information
Chi Chen

Department of Mechanical and Aerospace Engineering,
University of Miami,
Coral Gables, FL 33146

Weiming Tao

Institute of Applied Mechanics,
Zhejiang University,
Hangzhou 310027, China

Yewang Su

Department of Mechanical Engineering and Department of Civil and Environmental Engineering,
Northwestern University,
Evanston, IL 60208;
Center for Mechanics and Materials,
Tsinghua University,
Beijing 100084, China

Jian Wu

AML,
Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China;
Center for Mechanics and Materials,
Tsinghua University,
Beijing 100084, China

Jizhou Song

Department of Mechanical and Aerospace Engineering,
University of Miami,
Coral Gables, FL 33146
e-mail: j.song8@miami.edu

1Corresponding author.

Manuscript received October 26, 2012; final manuscript received November 19, 2012; accepted manuscript posted November 22, 2012; published online May 23, 2013. Editor: Yonggang Huang.

J. Appl. Mech 80(4), 041031 (May 23, 2013) (6 pages) Paper No: JAM-12-1497; doi: 10.1115/1.4023036 History: Received October 26, 2012; Revised November 19, 2012; Accepted November 22, 2012

Analytical models have been established to study the lateral buckling of interconnects under shear in a noncoplanar mesh design for stretchable electronics. Analytical expressions are obtained for the critical load and buckling shape at the onset of buckling by solving the equilibrium equations. The postbuckling behavior is studied by energy minimization of the potential energy, including up to fourth power of the displacement. A simple expression of the amplitude characterizing the deformation after buckling is obtained. These results agree well with the finite element simulations without any parameter fitting. The models in this paper may provide a route to study complex buckling modes of interconnects, such as diagonal compression/stretching involving both compression and shear.

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Figures

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Fig. 1

(a) A schematic diagram of noncoplanar mesh design with islands chemically bonded to the compliant substrate and the interconnects loosely bonded; (b) SEM image of noncoplanar mesh design under shear

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Fig. 2

A schematic diagram of lateral buckling of a beam

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Fig. 3

The buckling shape of rotation of the cross-section φ¯(s)

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Fig. 4

The buckling shape of displacement of center in x direction u¯(s)

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Fig. 5

The amplitude A versus the applied displacement v0 for the buckling mode 1 of a beam with L = 20, a = 1, b = 0.1, and ν = 0.3

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