Assessment of higher order transverse shear deformation theories for modeling and buckling analysis of FGM plates using RBF based meshless approach
Multidiscipline Modeling in Materials and Structures
ISSN: 1573-6105
Article publication date: 10 August 2018
Issue publication date: 29 October 2018
Abstract
Purpose
The purpose of this paper is to assess different five variables shear deformation plate theories for the buckling analysis of FGM plates.
Design/methodology/approach
Governing differential equations (GDEs) of the theories are derived by employing the Hamilton Principle. A polynomial radial basis function (RBF)-based Meshless method is used to discretize the GDEs, and a MATLAB code is developed to solve these discretize equations.
Findings
Numerical results are obtained for buckling loads. The results are compared with other available results for validation purpose. The effect of the span-to-thickness ratio and grading index is observed. It is observed that some theories underpredict the deflection for thick plates, while at the same time they seem to be in good agreement with other theories for thin plates.
Originality/value
This paper assesses the different theories with the same method to determine their applicability.
Keywords
Citation
Kumar, R. and Singh, J. (2018), "Assessment of higher order transverse shear deformation theories for modeling and buckling analysis of FGM plates using RBF based meshless approach", Multidiscipline Modeling in Materials and Structures, Vol. 14 No. 5, pp. 891-907. https://doi.org/10.1108/MMMS-07-2017-0069
Publisher
:Emerald Publishing Limited
Copyright © 2018, Emerald Publishing Limited