Buckling and free vibrations of nanoplates - comparison of nonlocal strain and stress approaches
Authors:
- Małgorzata Chwał,
- Aleksander Muc
Abstract
The buckling and free vibrations of rectangular nanoplates are considered in this paper. The refined continuum transverse shear deformation theory (third and first order) is introduced to formulate the fundamental equations of the nanoplate. In addition, the analysis involves the nonlocal strain and stress theories of elasticity to take into account the small-scale effects encountered in nanostructures/nanocomposites. Hamilton’s principle is used to establish the governing equations of the nanoplate. The Rayleigh-Ritz method is proposed to solve eigenvalue problems dealing with the buckling and free vibration analysis of the nanoplates considered. Some examples are presented to investigate and illustrate the effects of various formulations.
- Record ID
- CUT80bd473b5d2a4670a1812235fcc37b78
- Publication categories
- ;
- Author
- Other language title versions
- Buckling and free vibrations of nanoplates - comparison of nonlocal strain and stress approaches
- Journal series
- Applied Sciences-Basel, ISSN 2076-3417, Monthly
- Issue year
- 2019
- Vol
- 9
- No
- 7
- Pages
- [1-14]
- Other elements of collation
- tab.; wykr.; Bibliografia (na s.) - 12-14; Bibliografia (liczba pozycji) - 80; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 9, Iss. 7
- Keywords in English
- nonlocal stress theory, nonlocal strain theory, buckling, free vibrations, nanoplates, higher order shear deformation theories
- DOI
- DOI:10.3390/app9071409 Opening in a new tab
- URL
- https://www.mdpi.com/2076-3417/9/7/1409 Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 100
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT80bd473b5d2a4670a1812235fcc37b78/
- URN
urn:pkr-prod:CUT80bd473b5d2a4670a1812235fcc37b78
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.