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Journal of Polymer & Composites Review Article Special issue

Finite Element Formulation for Mechanical Buckling of FGM Plate Exposed to Various Boundary Conditions

  1. Vineet Kumar Department of Mechanical Engineering, Govt. Engineering College, Bikaner
  2. Pankaj Sonia Department of Mechanical Engineering, GLA University, Mathura

Abstract

Mechanical buckling analysis of functionally graded (FG) material plates based on first-order shear deformation theory. In the real world many components manufactured by FG materials face the buckling load under certain conditions. Various types of gradation law for tailoring the material properties are applied by the researcher, out of that, presently a simple power law for material gradation is applied with shear correction factor (SCF) is used to take account of transverse shear & parabolic distribution of shear strain through z- direction of the plate. Every material has manufacturing defects at the time of production or preparation of material solutions. So, the need of simulation for the real materials based on porosity is required for factual results. In this direction there are two types of material porosities are modelled, and their effects are investigated viz. Tape I (even distributions of pores within plate) and Type II (Uneven distribution of pores). A four node iso-parametric element with five degrees of freedom at each node is used to discretize the plate element. Finite element technique in conjunction with Hamilton’s principle is used to develop the governing equations and solutions. Validation studies are performed to verify and predict the accuracy of the present formulation. Results are presented in tabulated form as well as the parametric studies are done to explore the various dimensions taken into consideration. The slenderness ratio (a/b), aspect factor (a/h), material exponent index (p), various boundary conditions (BCs), uniaxial and biaxial buckling loading is explored and discussed.

Keywords

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