Journal of Computational Applied Mechanics

Assessment of Radial basis function based meshfree method for the buckling analysis of rectangular FGM plate using HSDT and Strong form formulation

Document Type : Research Paper

Authors

1 Department of Mechanical Engineering, Sardar Vallabhbhai National Institute of Technology, Surat-395007, India

2 Department of Mechanical Engineering, BIT Mesra, off campus, Patna-80014, India

3 Institute of Business Management, GLA University, Mathura- 281406, India

4 Department of Mechanical Engineering, MMMUT, Gorakhpur-273010, India

Abstract

An effort has been made in modifying the radial distances of existing radial basis functions (RBFs) for the buckling analysis of functionally graded material (FGM) rectangular plates. The governing differential equations (GDE’s) and boundary conditions are developed by employing the energy principle. The novelty of the present modified RBFs is that they are suitable for analyzing plates with varying aspect ratios. In the present analysis, thirteen different RBFs available in the literature are analyzed. It is found that all RBFs are well suited for buckling analysis of FGM plates with a different aspect ratio which was not possible with existing RBFs. Existing RBFs were suitable for analyzing square plates. To demonstrate the accuracy and efficiency of the present method, results are obtained for the buckling load parameters with modified radial distances for different aspect ratios. The results of several numerical examples have shown that the present modified RBF-based meshfree methods are well suited and accurate for analyzing rectangular plates. The effect of aspect ratio with grading index , span to thickness ratio on the normalized critical buckling load is discussed.

Keywords

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Journal of Computational Applied Mechanics
Volume 53, Issue 3
September 2022
Pages 332-347
  • Receive Date: 27 April 2022
  • Revise Date: 19 June 2022
  • Accept Date: 26 June 2022