Year: 2018
Author: Iman Soleimani, Yaghoub Tadi Beni, Fahimeh Mehralian
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 4 : pp. 819–844
Abstract
In this paper, using modified couple stress theory, a new cylindrical shell element is introduced. Here, using modified couple stress theory in place of classical continuum theory, and using shell model in place of beam model which has been used in previous research, vibrational behavior and buckling behavior of nanotubes is investigated via the finite element method. In addition, the new cylindrical shell element is defined, the mass-stiffness matrix is developed, and the use of the super element and size-dependent finite element formulation together with shell element is extended to more precisely account for nanotube vibration and buckling. The new cylindrical shell element has been developed based on super element's shape function. In special cases, in order to investigate the application of the equations developed, the cylindrical nano-shell bending displacement is studied using modified couple stress cylindrical shell element and the results are validated using the analytical method. In addition, the effects of parameters such as length scale parameter, length, and thickness on cylindrical shell displacement are investigated. The results have indicated using the super element considerably reduces the amount of computations and analysis time in comparison with the use of molecular dynamic simulation.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2016-0201
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 4 : pp. 819–844
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Modified couple stress theory shell super element size dependent shell model FEM.
Author Details
-
An efficient 4‐node facet shell element for the modified couple stress elasticity
Shang, Yan | Wu, Huan‐Pu | Cen, Song | Li, Chen‐FengInternational Journal for Numerical Methods in Engineering, Vol. 123 (2022), Iss. 4 P.992
https://doi.org/10.1002/nme.6885 [Citations: 6] -
A new eigenvalue problem solver for thermo‐mechanical vibration of Timoshenko nanobeams by an innovative nonlocal finite element method
Numanoğlu, Hayri Metin | Ersoy, Hakan | Akgöz, Bekir | Civalek, ÖmerMathematical Methods in the Applied Sciences, Vol. 45 (2022), Iss. 5 P.2592
https://doi.org/10.1002/mma.7942 [Citations: 122] -
Size-dependent two-node axisymmetric shell element for buckling analysis with couple stress theory
Soleimani, Iman | Beni, Yaghoub Tadi | Dehkordi, Mohsen BotshekananProceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 233 (2019), Iss. 13 P.4729
https://doi.org/10.1177/0954406219830124 [Citations: 7] -
Penalty C0 8-node quadrilateral and 20-node hexahedral elements for consistent couple stress elasticity based on the unsymmetric finite element method
Wu, Huan-Pu | Shang, Yan | Cen, Song | Li, Chen-FengEngineering Analysis with Boundary Elements, Vol. 147 (2023), Iss. P.302
https://doi.org/10.1016/j.enganabound.2022.12.008 [Citations: 8] -
An efficient 3-node triangular plate element for static and dynamic analyses of microplates based on modified couple stress theory with micro-inertia
Mao, Yu-Hao | Shang, Yan | Cen, Song | Li, Chen-FengEngineering with Computers, Vol. 39 (2023), Iss. 5 P.3061
https://doi.org/10.1007/s00366-022-01715-5 [Citations: 3] -
Size-Dependent Buckling and Vibrations of Piezoelectric Nanobeam with Finite Element Method
Mohtashami, Mahdie | Beni, Yaghoub TadiIranian Journal of Science and Technology, Transactions of Civil Engineering, Vol. 43 (2019), Iss. 3 P.563
https://doi.org/10.1007/s40996-018-00229-9 [Citations: 9]