Load carrying capacity of functionally graded columns with open cross-sections under static compression

In order to obtain the equilibrium equations of thin-walled structures from Hamilton's Principle for the asymptotic analytical-numerical method. The classical laminate plate theory (CLPT) which has been modified in such a way that it additionally accounts for the full Green's strain tensor and the second Pioli-Kirchhoff's stress tensor has been applied. The study is based on the numerical method of the transition matrix using Godunov's orthogonalization. Distortions of cross-sections and a shear-lag phenomenon are examined. This paper is a continuation of the study described in the work of the authors entitled: “Static interactive buckling of functionally graded columns with closed cross-sections subjected to axial compression” Composite Structures 123, 2015, 257-262.