Nonlinear Bending and Post Buckling of Functionally Graded Circular Plates under Asymmetric Thermo-Mechanical Loading

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

“…It is observed from the existing literature, that the buckling [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41] and post-buckling [42][43][44][45][46][47][48][49][50] characteristics of FGM circular and annular plates have received little attention of the researchers than those of rectangular ones. For example, Najafizadeh and Eslami [25] presented the buckling analysis of radially loaded FGM circular plate.…”

“…Based on von Karman's assumptions, equilibrium equations governing a large axisymmetric deformation have been derived, and by using a shooting method the non-linear equations with immovably clamped boundary conditions have been solved. Fallah and Nosier [45] investigated the non-linear bending and post buckling of FGM circular plates under asymmetric transverse loading and a temperature variation through the plate thickness based on the first-order shear deformation plate theory with von Karman non-linearity. A two parameter perturbation technique, in conjunction with Fourier series method to model the problem asymmetries, was used to obtain the solution for clamped and simply-supported boundary conditions.…”