INVESTIGATING THE SURFACE ELASTICITY AND TENSION EFFECTS ON CRITICAL BUCKLING BEHAVIOUR OF NANOTUBES BASED ON DIFFERENTIAL TRANSFORMATION METHOD
DOI:
https://doi.org/10.2022/jmet.v7i1.535Abstract
By considering the coupled effects of surface and nonlocal elasticity theory, the critical buckling load response of silicon/aluminium nanotubes is investigated in this paper. The nonlocal Eringen theory takes into account the effect of small scale size while the Gurtin-Murdoch model is used to incorporate the surface effects. Governing equations are derived through Hamilton’s principle. The differential transformation method (DTM) as an efficient and accurate numerical tool is employed to solve the governing equations of nanotubes subjected to different boundary conditions. The output results are compared favourably with available published works. The detailed mathematical derivations are presented and numerical investigations are performed while the emphasis is placed on investigating the effect of the nonlocal parameter, surface effect, aspect ratio, mode number and beam size on critical buckling loads of the nanotube in detail. The results show that increasing the nonlocal parameter increase the buckling ratio of the nanotubes.
Downloads
Downloads
Published
Issue
Section
License
JMET Copyright Principles
JMET seeks to retain copyright of the articles it publishes, without the authors giving up their right to use their own material.
Originality
The manuscript is neither been published before, nor is it under consideration for publication in any other journals. It contains no matter that is scandalous, obscene, libelous or otherwise contrary to law.
Terms of Acceptance
When the article is accepted for publication, the authors shall hereby agree to transfer to the Journal of Mechanical Engineering and Technology, all rights, including those pertaining to electronic forms and transmissions, under existing copyright laws, except for the following, which the author(s) specifically retain(s):
All proprietary right other than copyright, such as patent rights.
- The right to make further copies of all or part of the published article for my/our use in classroom teaching.
- The right to reuse all or part of this material in a compilation of my/our own works or in a textbook of which I/we am/are the author(s).
- The right to make copies of the published work for internal distribution within the institution that employs me/us.
The authors agree that copies made under these circumstances will continue to carry the copyright notice that appeared in the original published work. The authors agree to inform any co-authors, if any, of the above terms. The authors certify that they have obtained written permission for the use of text, tables, and/or illustrations from any copyrighted source(s), and they agree to supply such written permission(s) to Journal of Mechanical Engineering and Technology upon request.
