Elastic Stability and Failure Analysis of FGM Plate

The aim of present paper is to perform non-linear finite element analysis of Ti/TiB functionally graded material (FGM) plate under in-plane compressive loading conditions. The actual non-homogeneous FGM plate with continuously varying properties along with thickness is modelled as a laminate composed of multiple perfectly bonded layers of isotropic and homogenous material. The mechanical properties of FGM plate along with thickness, such as elastic constants and yielding strength, are calculated through the modified rule of mixtures, called Tamura–Tomota–Ozawa TTO model. An attempt is also made to predict the failure of FGM plate using 3-D von-Mises criterion. The non-linear finite element formulation is based on the first-order shear deformation theory and the von-Karman's nonlinear kinematics. The non-linear equations are solved using Newton–Raphson method. After validating the results of present formulation with the available results in literature, the effects of material gradation, boundary conditions and loading conditions on non-linear buckling and post-buckling behaviour and failure of FGM plate are investigated. It is found that the buckling and post-buckling strengths and failure load of clamped FGM plate are increased considerably as compared with that of pure metal plate.