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Advances in Aircraft and Spacecraft Science   Volume 5, Number 5, September 2018, pages 515-531
DOI: https://doi.org/10.12989/aas.2018.5.5.515
 
Nonlocal buckling characteristics of heterogeneous plates subjected to various loadings
Farzad Ebrahimi, Ramin Babaei and Gholam Reza Shaghaghi

 
Abstract     [Full Text]
    In this manuscript, buckling response of the functionally graded material (FGM) nanoplate is investigated. Two opposite edges of nanoplate is under linear and nonlinear varying normal stresses. The small-scale effect is considered by Eringen\'s nonlocal theory. Governing equation are derived by nonlocal theory and Hamilton\'s principle. Navier\'s method is used to solve governing equation in simply boundary conditions. The obtained results exactly match the available results in the literature. The results of this research show the important role of nonlocal effect in buckling and stability behavior of nanoplates. In order to study the FG-index effect and different loading condition effects on buckling of rectangular nanoplate, Navier\'s method is applied and results are presented in various figures and tables.
 
Key Words
    buckling; functionally graded material; linear and nonlinear loading; nonlocal elasticity; Navier\'s method
 
Address
Department of Engineering, Imam Khomeini international university, Qazvin, Iran
 

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