Buckling Analysis of Functionally Graded Plates Based on Two-Variable Refined Plate Theory Using the Bubble Finite Strip Method

Kianian, Omid; Sarrami-Foroushani, Saeid; Azhari, Mojtaba

doi:10.22060/ceej.2017.12358.5184

Buckling Analysis of Functionally Graded Plates Based on Two-Variable Refined Plate Theory Using the Bubble Finite Strip Method

Document Type : Research Article

Authors

Department of Civil Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran

10.22060/ceej.2017.12358.5184

Abstract

Functionally graded materials (FGMs) have been widely used in many structural
applications over the past decades. The rapid growth of the FGMs is due to their remarkable mechanical
and thermal properties. The mechanical buckling analysis of functionally graded ceramic-metal
rectangular plates is considered in this paper. The two-variable refined plate theory (RPT), in conjunction
with the bubble finite strip method, is employed for the first time to evaluate the mechanical buckling
loads of rectangular FGM plates. The theory, which has a strong similarity with the classical plate theory
(CPT) in many aspects, accounts for a quadratic variation of transverse shear strains across the thickness
of the plate and satisfies the zero traction boundary conditions on the top and bottom surfaces of the
plate without using the shear correction factor. In comparison with the ordinary finite strip method, the
convergence of the bubble finite strip method is very rapid due to using bubble shape functions. The
mechanical properties of the FGM plate are assumed to vary according to a power law distribution of
the volume fraction of constituents. The accuracy and efficiency of the present method are confirmed by
comparing the present results with those available in the literature. Furthermore, the effects of powerlaw
index, plate thickness, aspect ratio, loading types and various boundary conditions on the critical
buckling load of the functionally graded rectangular plates are investigated.

Highlights

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Keywords

References