In-plane and shear buckling analysis of FG-CNTRC annular sector plates based on the third-order shear deformation theory using a numerical approach

• Published in: Computers & mathematics with applications (1987) Vol. 75; no. 2; pp. 486 - 502
• Main Authors: Ansari, Reza, Torabi, Jalal, Hassani, Ramtin
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 15-01-2018; Elsevier BV
• Subjects: Annular plates; Annular sector plates; Buckling; Carbon nanotubes; Deformation; Elastic foundation; Elastic foundations; FG-CNTRC; Functionally gradient materials; Material properties; Mathematical models; Nanotubes; Numerical analysis; Numerical methods; Numerical variational formulation; Plate theory; Quadratic forms; Shear deformation; Shear strength; Stability; Studies; Elastic foundation; Annular sector plates; Numerical variational formulation; FG-CNTRC; Buckling
• ISSN: 0898-1221; 1873-7668
• DOI: 10.1016/j.camwa.2017.09.022

The buckling analysis of thick composite annular sector plates reinforced with functionally graded carbon-nanotubes (CNTs) is presented under in-plane and shear loadings based on the higher-order shear deformation theory. It is considered that the plate is resting on the Pasternak-type elastic foundation. The overall material properties of functionally graded carbon nanotube-reinforced composites (FG-CNTRCs) are estimated through the micromechanical model. The governing equations are derived on the basis of the higher-order shear deformation plate theory, and the quadratic form of the energy functional of the system is presented. An efficient numerical method is presented in the context of variational formulation to obtain the discretized version of stability equations. The validation of the present study is demonstrated through comparisons with the results available in the literature and then comprehensive numerical results are given to investigate the impacts of model parameters on the stability of CNT-reinforced composite annular sector plates.