Superposition buckling analysis of rectangular plates composed of functionally graded materials subjected to non-uniform distributed in-plane loading

摘要

In this research, mechanical buckling of rectangular plates of functionally graded materials (FGMs) is considered. Equilibrium and stability equations of an FGM rectangular plate under uniform in-plane compression are derived. For isotropic materials, convergent buckling loads have been presented for non-uniformly compressed rectangular plates based on a rigorous superposition Fourier solution for the in-plane Airy stress field and Galerkin's approach for stability analysis. Results for isotropic cases are compared with reference articles and finite-element method solution. Finally, the results are achieved for a sample of FGM as well as the research on the effect of power law index on buckling loads.