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Engineering with Computers
Published in: Engineering with Computers 4/2019

06-12-2018 | Original Article

Galerkin’s approach for buckling analysis of functionally graded anisotropic nanoplates/different boundary conditions

Authors: Behrouz Karami, Maziar Janghorban, Abdelouahed Tounsi

Published in: Engineering with Computers | Issue 4/2019

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Abstract

For the first time, buckling behavior of functionally graded (FG) nanoplates made of anisotropic material (beryllium crystal as a hexagonal material) is investigated. Also, it is the first time that the size-dependent behavior of nanostructured systems is studied for buckling response of the graded anisotropic material. The properties of graded material are assumed vary exponentially through the z-direction. Nonlocal strain gradient theory is utilized to predicate the size-dependent buckling behavior of the nanoplate. The nanoplate is modeled by a higher order shear deformation refined plate theory in which any shear correction factor not used. Governing equations and boundary conditions are obtained using a virtual work of variational approach. To solve the buckling problem for different boundary conditions, Galerkin’s approach is utilized. Finally, the influences of different boundary conditions, small-scale parameters, geometry parameters and exponential factor are studied and discussed in detail. It is hoped that the present numerical results can help the engineers and designers to understand and predict the buckling response of FG anisotropic materials.
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Metadata
Title
Galerkin’s approach for buckling analysis of functionally graded anisotropic nanoplates/different boundary conditions
Authors
Behrouz Karami
Maziar Janghorban
Abdelouahed Tounsi
Publication date
06-12-2018
Publisher
Springer London
Published in
Engineering with Computers / Issue 4/2019
Print ISSN: 0177-0667
Electronic ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-018-0664-9

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