The current study presents the buckling analysis of radially-loaded circular plate with variable thickness made of functionally graded material. The boundary conditions of the plate is either simply supported or clamped. The stability equations were obtained using energy method based on Love-Kichhoff hypothesis and Sander's non-linear strain-displacement relation for thin plates. The finite-element method is used to determine the critical buckling load. The results obtained show good agreement with known analytical and numerical data. The effects of thickness variation and Poisson's ratio are investigated by calculating the buckling load. These effects are found not to be the same for simply supported and clamped plates.which could be studied for FGM plates is the buckling which can occur due to the heating or under transverse loading. Thermal buckling and vibration behaviour of FGM plates have been studied by different researchers for rectangular and circular plates [7][8][9][10][11][12][13]. Buckling of FGM plates under transverse loads were also studied for circular and rectangular shapes [14][15][16]. There are also reported researches in which the behavior of FGM plates under combination of thermal, mechanical, and electrical loads have been studied [17,18]. Among them, circular plates are of particular interest because of their engineering applications under compressive loads. Elastic stability of circular plates has been investigated by several authors. Yamaki [19] studied the buckling of annular plates under uniform compression on their inner and outer edges. He found that buckling often occurs in higher buckling mode shapes. In the work done by Birman [20] and Feldman and Aboudi [21] the buckling phenomenon of functionally graded plates subjected to the uniaxial compression was investigated. Najafizadeh and Eslami [22] studied buckling of a circular plate made of FGM. They derived a closed form solution for the buckling load of such a plate under uniform compression.In most papers mentioned above, the thickness of the plate was assumed to be constant across the JMES636
A body insonified by a sound field is known to experience a steady force that is called the acoustic radiation force. In this paper, the method of wave function expansion is adopted to study the scattering and the radiation force function caused by a plane normal harmonic acoustic wave incident upon an arbitrarily thick-walled functionally graded cylindrical shell submerged in and filled with compressible ideal fluids. A laminate approximate model and the so-called state space formulation in conjunction with the classical transfer matrix (T-matrix) approach are employed to present an analytical solution based on the two-dimensional exact equations of elasticity. Two typical models, representing the elastic properties of FGM interlayer, are considered. In both models, the mechanical properties of the graded shell are assumed to vary smoothly and continuously with the change of volume concentrations of the constituting materials across the thickness of the shell. In the first model, the simple rule of mixture governs. In the second, an elegant self-consistent micromechanical model which assumes an interconnected skeletal microstructure in the graded region is employed. Particular attention is paid on dynamical response of these models in a wide range of frequency and for different shell wall-thicknesses. In continue, by focusing on the second model, the normalized radiation force function and the form function amplitude are calculated and compared for different shell wall thicknesses and various profile of variations. Limiting cases are considered and good agreements with the solutions available in the literature are obtained.
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