In this work, the compressive buckling of a nanowire partially bonded to an elastomeric substrate is studied via finite-element method (FEM) simulations and experiments. The buckling profile of the nanowire can be divided into three regimes, i.e., the in-plane buckling, the disordered buckling in the out-of-plane direction, and the helical buckling, depending on the constraint density between the nanowire and the substrate. The selection of the buckling mode depends on the ratio d/h, where d is the distance between adjacent constraint points and h is the helical buckling spacing of a perfectly bonded nanowire. For d/h > 0.5, buckling is in-plane with wavelength λ = 2d. For 0.27 < d/h < 0.5, buckling is disordered with irregular out-of-plane displacement. While, for d/h < 0.27, buckling is helical and the buckling spacing gradually approaches to the theoretical value of a perfectly bonded nanowire. Generally, the in-plane buckling induces smaller strain in the nanowire, but consumes the largest space. Whereas the helical mode induces moderate strain in the nanowire, but takes the smallest space. The study may shed useful insights on the design and optimization of high-performance stretchable electronics and three-dimensional complex nanostructures.
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April 2016
Research-Article
Mechanism of the Transition From In-Plane Buckling to Helical Buckling for a Stiff Nanowire on an Elastomeric Substrate
Youlong Chen,
Youlong Chen
International Center for Applied Mechanics,
SV Laboratory,
School of Aerospace,
Xi'an Jiaotong University,
No. 28, Xianning West Road,
Xi'an, Shaanxi 710049, China
e-mail: cyl.900125@stu.xjtu.edu.cn
SV Laboratory,
School of Aerospace,
Xi'an Jiaotong University,
No. 28, Xianning West Road,
Xi'an, Shaanxi 710049, China
e-mail: cyl.900125@stu.xjtu.edu.cn
Search for other works by this author on:
Yong Zhu,
Yong Zhu
Department of Mechanical and
Aerospace Engineering,
North Carolina State University,
Engineering Building 3,
Rm 3238 (Centennial Campus),
911 Oval Drive,
Raleigh, NC 27695
e-mail: yong_zhu@ncsu.edu
Aerospace Engineering,
North Carolina State University,
Engineering Building 3,
Rm 3238 (Centennial Campus),
911 Oval Drive,
Raleigh, NC 27695
e-mail: yong_zhu@ncsu.edu
Search for other works by this author on:
Xi Chen,
Xi Chen
Fellow ASME
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
Yilun Liu
State Key Laboratory for Strength and
Vibration of Mechanical Structures,
School of Aerospace,
Xi'an Jiaotong University,
No. 28, Xianning West Road,
Xi'an, Shaanxi 710049, China
e-mail: yilunliu@mail.xjtu.edu.cn
Vibration of Mechanical Structures,
School of Aerospace,
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:
Youlong Chen
International Center for Applied Mechanics,
SV Laboratory,
School of Aerospace,
Xi'an Jiaotong University,
No. 28, Xianning West Road,
Xi'an, Shaanxi 710049, China
e-mail: cyl.900125@stu.xjtu.edu.cn
SV Laboratory,
School of Aerospace,
Xi'an Jiaotong University,
No. 28, Xianning West Road,
Xi'an, Shaanxi 710049, China
e-mail: cyl.900125@stu.xjtu.edu.cn
Yong Zhu
Department of Mechanical and
Aerospace Engineering,
North Carolina State University,
Engineering Building 3,
Rm 3238 (Centennial Campus),
911 Oval Drive,
Raleigh, NC 27695
e-mail: yong_zhu@ncsu.edu
Aerospace Engineering,
North Carolina State University,
Engineering Building 3,
Rm 3238 (Centennial Campus),
911 Oval Drive,
Raleigh, NC 27695
e-mail: yong_zhu@ncsu.edu
Xi Chen
Fellow ASME
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
Yilun Liu
State Key Laboratory for Strength and
Vibration of Mechanical Structures,
School of Aerospace,
Xi'an Jiaotong University,
No. 28, Xianning West Road,
Xi'an, Shaanxi 710049, China
e-mail: yilunliu@mail.xjtu.edu.cn
Vibration of Mechanical Structures,
School of Aerospace,
Xi'an Jiaotong University,
No. 28, Xianning West Road,
Xi'an, Shaanxi 710049, China
e-mail: yilunliu@mail.xjtu.edu.cn
1Corresponding authors.
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received December 2, 2015; final manuscript received January 22, 2016; published online February 10, 2016. Editor: Yonggang Huang.
J. Appl. Mech. Apr 2016, 83(4): 041011 (6 pages)
Published Online: February 10, 2016
Article history
Received:
December 2, 2015
Revised:
January 22, 2016
Citation
Chen, Y., Zhu, Y., Chen, X., and Liu, Y. (February 10, 2016). "Mechanism of the Transition From In-Plane Buckling to Helical Buckling for a Stiff Nanowire on an Elastomeric Substrate." ASME. J. Appl. Mech. April 2016; 83(4): 041011. https://doi.org/10.1115/1.4032573
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