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, the plane strain modulus ratio between the film and the substrate, the film thickness to wrinkle wavelength ratio, and the 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 the 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, biomedical engineering, soft materials, and devices.
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May 2017
Research-Article
Mechanism of Surface Wrinkle Modulation for a Stiff Film on Compliant Substrate
Yilun Liu,
Yilun Liu
State Key Laboratory for Strength and
Vibration of Mechanical Structures,
School of Aerospace Engineering,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China;
Vibration of Mechanical Structures,
School of Aerospace Engineering,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China;
Shaanxi Engineering Research Center
of Nondestructive Testing
and Structural Integrity Evaluation,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China
e-mail: yilunliu@mail.xjtu.edu.cn
of Nondestructive Testing
and Structural Integrity Evaluation,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China
e-mail: yilunliu@mail.xjtu.edu.cn
Search for other works by this author on:
Mengjie Li,
Mengjie Li
State Key Laboratory for Strength and
Vibration of Mechanical Structures,
School of Aerospace Engineering,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China;
Vibration of Mechanical Structures,
School of Aerospace Engineering,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China;
Shaanxi Engineering Research Center of
Nondestructive Testing and Structural
Integrity Evaluation,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China
e-mail: limengjieab@stu.xjtu.edu.cn
Nondestructive Testing and Structural
Integrity Evaluation,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China
e-mail: limengjieab@stu.xjtu.edu.cn
Search for other works by this author on:
Jingran Liu,
Jingran Liu
State Key Laboratory for Strength and
Vibration of Mechanical Structures,
School of Aerospace Engineering,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China;
Vibration of Mechanical Structures,
School of Aerospace Engineering,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China;
Shaanxi Engineering Research Center of Nondestructive Testing
and Structural Integrity Evaluation,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China
e-mail: liujingran@stu.xjtu.edu.cn
and Structural Integrity Evaluation,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China
e-mail: liujingran@stu.xjtu.edu.cn
Search for other works by this author on:
Xi Chen
Xi Chen
ASME Fellow
Columbia Nanomechanics Research Center,
Department of Earth and Environmental
Engineering,
Columbia University,
500 West 120th Street,
New York, NY 10027
e-mail: xichen@columbia.edu
Columbia Nanomechanics Research Center,
Department of Earth and Environmental
Engineering,
Columbia University,
500 West 120th Street,
New York, NY 10027
e-mail: xichen@columbia.edu
Search for other works by this author on:
Yilun Liu
State Key Laboratory for Strength and
Vibration of Mechanical Structures,
School of Aerospace Engineering,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China;
Vibration of Mechanical Structures,
School of Aerospace Engineering,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China;
Shaanxi Engineering Research Center
of Nondestructive Testing
and Structural Integrity Evaluation,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China
e-mail: yilunliu@mail.xjtu.edu.cn
of Nondestructive Testing
and Structural Integrity Evaluation,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China
e-mail: yilunliu@mail.xjtu.edu.cn
Mengjie Li
State Key Laboratory for Strength and
Vibration of Mechanical Structures,
School of Aerospace Engineering,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China;
Vibration of Mechanical Structures,
School of Aerospace Engineering,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China;
Shaanxi Engineering Research Center of
Nondestructive Testing and Structural
Integrity Evaluation,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China
e-mail: limengjieab@stu.xjtu.edu.cn
Nondestructive Testing and Structural
Integrity Evaluation,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China
e-mail: limengjieab@stu.xjtu.edu.cn
Jingran Liu
State Key Laboratory for Strength and
Vibration of Mechanical Structures,
School of Aerospace Engineering,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China;
Vibration of Mechanical Structures,
School of Aerospace Engineering,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China;
Shaanxi Engineering Research Center of Nondestructive Testing
and Structural Integrity Evaluation,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China
e-mail: liujingran@stu.xjtu.edu.cn
and Structural Integrity Evaluation,
Xi’an Jiaotong University,
No. 28, Xianning West Road,
Xi’an, Shaanxi 710049, China
e-mail: liujingran@stu.xjtu.edu.cn
Xi Chen
ASME Fellow
Columbia Nanomechanics Research Center,
Department of Earth and Environmental
Engineering,
Columbia University,
500 West 120th Street,
New York, NY 10027
e-mail: xichen@columbia.edu
Columbia Nanomechanics Research Center,
Department of Earth and Environmental
Engineering,
Columbia University,
500 West 120th Street,
New York, NY 10027
e-mail: xichen@columbia.edu
1Corresponding authors.
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received February 25, 2017; final manuscript received March 12, 2017; published online April 5, 2017. Editor: Yonggang Huang.
J. Appl. Mech. May 2017, 84(5): 051011 (9 pages)
Published Online: April 5, 2017
Article history
Received:
February 25, 2017
Revised:
March 12, 2017
Citation
Liu, Y., Li, M., Liu, J., and Chen, X. (April 5, 2017). "Mechanism of Surface Wrinkle Modulation for a Stiff Film on Compliant Substrate." ASME. J. Appl. Mech. May 2017; 84(5): 051011. https://doi.org/10.1115/1.4036256
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