 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 57, Issue 6 / 2022 | Next article >> |
| Zhong Chen, Rongguo Zhao, and Nan Ji, "Buckling of Free-Standing Nanocolumn on an Elastic Substrate with Surface Effect and Self-weight," Mech. Solids. 57 (6), 1590-1604 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
6 |
Pages |
1590-1604 |
| DOI |
10.3103/S0025654422060188 |
| Title |
Buckling of Free-Standing Nanocolumn on an Elastic Substrate with Surface Effect and Self-weight |
| Author(s) |
Zhong Chen (School of Mechanical Engineering and Mechanics, Xiangtan University, Xiangtan, 411105 China)
Rongguo Zhao (School of Mechanical Engineering and Mechanics, Xiangtan University, Xiangtan, 411105 China; Key Laboratory of Dynamics and Reliability of Engineering Structures of College of Hunan Province, Xiangtan University, Xiangtan, 411105 China, zhaorongguo@xtu.edu.cn)
Nan Ji (School of Mechanical Engineering and Mechanics, Xiangtan University, Xiangtan, 411105 China) |
| Abstract |
The buckling behaviors of a nanocolumn on an elastic substrate are studied by using the Euler-Bernoulli beam theory (EBT) and the Timoshenko beam theory (TBT). According the Hamilton's principle, the governing equations for the buckling of nanocolumn with surface effect and selfweight are derived. The boundary conditions considering the rotational spring stiffness are given, the Galerkin method is adopted to solve the numerical solution of the governing equations, and the convergence and validation of the numerical solution are verified by using the finite element method (FEM). The influences of surface effect and elastic substrate on the critical load parameter are investigated. It is found that comparing with the EBT, the TBT can more accurately describe the buckling behaviors of the nanocolumn on the elastic substrate, and increasing the surface elastic modulus, or increasing the residual stress, can improve the stiffness of nanocolumn. |
| Keywords |
nanocolumn, elastic substrate, buckling, surface effect, finite element |
| Received |
01 March 2022 | Revised |
20 August 2022 | Accepted |
07 September 2022 |
| Link to Fulltext |
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