Volume 40, Issue 1 (9-2021)                   JCME 2021, 40(1): 43-58 | Back to browse issues page

XML Persian Abstract Print

Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:

Hashemian M, Jabbarzadeh M. Nonlinear Bending Analysis of Micro/Nano Rectangular and Annular Sector Plates Using a Modified Higher-Order Shear Deformation Theory and the Modified Couple Stress Theory. JCME 2021; 40 (1) :43-58
URL: http://jcme.iut.ac.ir/article-1-816-en.html
1- Department of Mechanical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran
2- Department of Mechanical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran , jabbarzadeh@mshdiau.ac.ir
Abstract:   (1360 Views)
In this paper, nonlinear bending analysis of functionally graded rectangular and sectorial micro/nano plates is investigated using the modified couple stress theory. For this purpose, a higher-order shear deformation theory and von Kármán geometrically nonlinear theory are employed. The equilibrium equations and the boundary conditions for rectangular and annular sector plates are derived from the principle of minimum total potential energy and solved using the Semi-Analytical Polynomial Method (SAPM). One of the advantages of the implemented shear deformation theory is removing the defects of higher order shear deformation theory, and obtaining the response of the first and the third-order shear deformation theories at the same time. Afterwards, beside investigating the benefits of this theory compared with other ones, the results are verified with those by other researches. At the end, the effects of length scale parameter, boundary conditions, power law index, and geometrical dimensions are investigated
Full-Text [PDF 1274 kb]   (291 Downloads)    
Type of Study: Research | Subject: Special
Received: 2019/12/20 | Accepted: 2020/06/16 | Published: 2021/09/1

Add your comments about this article : Your username or Email:

Send email to the article author

Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

© 2022 CC BY-NC 4.0 | Computational Methods in Engineering

Designed & Developed by : Yektaweb