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research-article

Mechanism of surface wrinkle modulation for a stiff film on compliant substrate

[+] Author and Article Information
Yilun Liu

State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace Engineering, Xi’an Jiaotong UniversityShaanxi Engineering Research Center of Nondestructive Testing and Structural Integrity Evaluation, Xi’an Jiaotong UniversityNo.28, Xianning West Road, Xi'an, Shaanxi, 710049, P.R. China
yilunliu@mail.xjtu.edu.cn

Mengjie Li

State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace Engineering, Xi’an Jiaotong UniversityShaanxi Engineering Research Center of Nondestructive Testing and Structural Integrity Evaluation, Xi’an Jiaotong UniversityNo.28, Xianning West Road, Xi'an, Shaanxi, 710049, P.R. China
limengjieab@stu.xjtu.edu.cn

Jingran Liu

State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace Engineering, Xi’an Jiaotong UniversityShaanxi Engineering Research Center of Nondestructive Testing and Structural Integrity Evaluation, Xi’an Jiaotong UniversityNo.28, Xianning West Road, Xi'an, Shaanxi, 710049, P.R. China
liujingran@stu.xjtu.edu.cn

Xi Chen

Columbia Nanomechanics Research Center, Department of Earth and Environmental Engineering, Columbia University 500 West 120th Street, New York, NY 10027
xichen@columbia.edu

1Corresponding author.

ASME doi:10.1115/1.4036256 History: Received February 25, 2017; Revised March 12, 2017

Abstract

In this work, the surface wrinkle modulation of the film/substrate system caused by eigenstrain in the film is studied. A theoretical model is proposed which shows the change of the wrinkle amplitude is completely determined by four dimensionless parameters, i.e. the eigenstrain in the film, plane strain modulus ratio between the film and substrate, film thickness to wrinkle wavelength ratio, and initial wrinkle amplitude to wavelength ratio. The surface wrinkle amplitude becomes smaller (even almost flat) for the contraction eigenstrain in the film, while for the expansion eigenstrain it becomes larger. If the expansion eigenstrain exceeds a critical value, secondary wrinkling on top of the existing one is observed for some cases. In general, the deformation diagram of the wrinkled film/substrate system can be divided into three regions, i.e. the change of surface wrinkle amplitude, the irregular wrinkling, and secondary wrinkling, governed by the four parameters above. Parallel finite element method (FEM) simulations are carried out which have good agreement with the theoretical predictions. The findings may be useful to guide the design and performance of stretchable electronics, cosmetic products, soft materials and devices.

Copyright (c) 2017 by ASME
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