Buckling of Coated Functionally Graded Spherical Nanoshells Rested on Orthotropic Elastic Medium

Coated functionally graded materials (FGMs) are used in several industrial structures such as turbine blades, cutting tools, and aircraft engines. Given the need for analytical numerical analysis of these complex structures, a mathematical model tricoated FG is presented first time this paper. The objective work was to analyze analytically buckling problem unidirectional (1D), bidirectional (2D), tridirectional (3D) coated spherical nanoshells resting on an orthotropic elastic foundation subjected biaxial loads. Based generalized field displacement, 2D higher-order shear deformation theory proposed by reducing number displacement variables from five four specific geometry cases. nonlocal strain gradient employed capture size-dependent microstructure effects. equilibrium equations were performed applying principle virtual work, obtained differential solved Galerkin technique cover all possible boundary conditions. defined based three parameters: one spring constant two parameters referring orthotropy directions. A detailed parametric carried out highlight impact various schemes FGMs, material distribution, length scale parameter (nonlocal), (gradient), nanoshell, variation critical