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A Simplified Model for Buckling and Post-Buckling Analysis of Cu Nanobeam Under Compression

Jiachen Guo1,2, Yunfei Xu2, Zhenyu Jiang1,*, Xiaoyi Liu2, Yang Cai2,*
1 Department of Engineering Mechanics, South China University of Technology, Guangzhou, 510640, China
2 The Peac Institute of Multiscale Sciences, Chengdu, 610031, China
∗ Corresponding Authors: Zhenyu Jiang. Email: ; Yang Cai. Email:

Computer Modeling in Engineering & Sciences 2020, 125(2), 611-623.

Received 22 April 2020; Accepted 11 August 2020; Issue published 12 October 2020


Both of Buckling and post-buckling are fundamental problems of geometric nonlinearity in solid mechanics. With the rapid development of nanotechnology in recent years, buckling behaviors in nanobeams receive more attention due to its applications in sensors, actuators, transistors, probes, and resonators in nanoelectromechanical systems (NEMS) and biotechnology. In this work, buckling and post-buckling of copper nanobeam under uniaxial compression are investigated with theoretical analysis and atomistic simulations. Different cross sections are explored for the consideration of surface effects. To avoid complicated high order buckling modes, a stressbased simplified model is proposed to analyze the critical strain for buckling, maximum deflection, and nominal failure strain for post-buckling. Surface effects should be considered regarding critical buckling strain and the maximum post-buckling deflection. The critical strain increases with increasing nanobeam cross section, while the maximum deflection increases with increasing loading strain but stays nearly the same for different cross sections, and the underlying mechanisms are revealed by our model. The maximum deflection is also influenced by surface effects. The nominal failure strains are captured by our simulations, and they are in good agreement with the simplified model. Our results can be used for helping design strain gauge sensors and nanodevices with self-detecting ability.


Nanobeam; buckling; post-buckling; simplified model; atomistic simulation

Cite This Article

Guo, J., Xu, Y., Jiang, Z., Liu, X., Cai, Y. (2020). A Simplified Model for Buckling and Post-Buckling Analysis of Cu Nanobeam Under Compression. CMES-Computer Modeling in Engineering & Sciences, 125(2), 611–623.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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