Three dimensional mechanical buckling of FG plates with general boundary conditions

Buckling Analysis of Functionally Graded Material Plates Using Higher Order Shear Deformation Theory

“…Thai and Vo [10] have developed a new sinusoidal shear deformation theory to study the bending, buckling and vibration of FG plates accounting for sinusoidal distribution of transverse shear stress and satisfies the free transverse shear stress conditions on the top and bottom surfaces of the plate without using shear correction factor. Uymaz and Aydogdu [28] analyzed the rectangular FG plates under different axial loadings for buckling based on small strain elasticity theory with different boundary conditions. They also investigated the effects of the different material composition and the plate geometry on the critical buckling loads and mode shapes.…”

Recent development in modeling and analysis of functionally graded materials and structures

“…Uymaz and Aydogdu [158] used the linear strain energy concept and Ritz method to investigate the mechanical buckling of rectangular transversely graded plates under biaxial loads. In the following discussion,an efforts has been made to incorporate some of the studies which has been carried out to get the stability analysis under several loading condition like thermal, electromechanical since over the decades.…”

Post-buckling analysis of FGM annular sector plates based on three dimensional elasticity graded finite elements

“…Very rare stability analyses have been presented so far for FGM rectangular plates based on the three-dimensional theory of elasticity [65][66][67][68][69]. In the present study, 3D elasticity based graded finite element method (GFEM) [70][71][72][73] is used which considers thickness stretching of the plate and guarantee the continuity of the material properties through the structure.…”