Assessment of higher order transverse shear deformation theories for modeling and buckling analysis of FGM plates using RBF based meshless approach. Issue 5 (10th August 2018)

• Record Type: Journal Article
• Authors: Kumar, Rahul; Singh, Jeeoot
• Is Part Of: Multidiscipline modeling in materials and structures. Volume 14:Issue 5(2018)
• Page Start: 891
• Page End: 907
• Publication Date: 2018-08-10
• Subjects: Buckling -- Meshless method -- RBF -- FGM plate -- Shear deformation; Materials -- Mathematical models -- Periodicals; Engineering -- Mathematical models -- Periodicals; 620.11015118
• DOI: 10.1108/MMMS-07-2017-0069
• Languages: English
• ISSNs: 1573-6105

Abstract

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.