Abstract

A cell-based smoothed finite element method with discrete shear gap technique is employed to study the static bending, free vibration, and mechanical and thermal buckling behaviour of functionally graded material (FGM) plates. The plate kinematics is based on the first-order shear deformation theory and the shear locking is suppressed by the discrete shear gap method. The shear correction factors are evaluated by employing the energy equivalence principle. The material property is assumed to be temperature dependent and graded only in the thickness direction. The effective properties are computed by using the Mori-Tanaka homogenization method. The accuracy of the present formulation is validated against available solutions. A systematic parametric study is carried out to examine the influence of the gradient index, the plate aspect ratio, skewness of the plate, and the boundary conditions on the global response of the FGM plates. The effect of a centrally located circular cutout on the global response is also studied.

Highlights

  • With the rapid advancement of engineering, there is an increasing demand for new materials which suit the harsh working environment without losing their mechanical, thermal, or electrical properties

  • The functionally graded materials (FGMs) combine the best properties of the ceramics and the metals and this has attracted the researchers to study the characteristics of such structures

  • Their study concluded that the structures made up of FGM with ceramic rich side exposed to elevated temperatures are susceptible to buckling due to the throughthickness temperature variation

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Summary

Introduction

With the rapid advancement of engineering, there is an increasing demand for new materials which suit the harsh working environment without losing their mechanical, thermal, or electrical properties Engineered materials such as the composite materials are used due to their excellent strength-to-weight and stiffness-to-weight ratios and their possibility of tailoring the properties in optimizing their structural response. Due to the abrupt change in material properties from matrix to fibre and between the layers, these materials suffer from premature failure or from the decay in the stiffness characteristics because of delaminations and chemically unstable matrix and lamina adhesives On the contrary, another class of materials, called the functionally graded materials (FGMs), are made up of mixture of ceramics and metals and are characterized by smooth and continuous transition in properties from one surface to another [1]. The FGMs combine the best properties of the ceramics and the metals and this has attracted the researchers to study the characteristics of such structures

Background
Theoretical Background
Cell-Based Smoothed Finite Element Method with Discrete Shear Gap Technique
Numerical Examples
Method
Conclusion
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