Stability analysis of functionally graded plates considering different micromechanical models

Functionally Graded Materials (FGM) are a new class of composites that present a continuously varying composition. Once the constituents and the volume fraction profile are defined, the effective material properties can be estimated using appropriate homogenization schemes. The main objective of this work is to assess the influence of the micromechanical homogenization schemes on the critical buckling load of functionally graded plates. Several FGM constituents, gradations and length-to-thickness ratios are considered. Distinct micromechanical models are employed. A NURBS-based Higher-order Shear Deformation Theory general formulation is presented, and the stability analyses are evaluated assuming the Third-order Shear Deformation Theory. Furthermore, an assessment of the accuracy of the First-order Shear Deformation Theory, widely adopted by commercial softwares, is also carried-out. The numerical findings show that micromechanical models and kinematic theories used have a considerable effect on the critical buckling load of functionally graded plates in addition to slenderness, gradation, and the materials properties.