Beam model for thermal buckling of thin-walled functionally graded box-beam

Abstract

The paper presents the beam finite element model for thermal buckling analysis of thin-walled functionally graded (FG) box-beams. The model is based on Euler-Bernoulli-Navier bending theory and Vlasov torsion theory. The cross-sectional displacement field includes the effects of warping torsion and large rotations. Material properties are assumed to be graded across the wall thickness and considered as a function of temperature. Three cases of the temperature distribution across the thickness of the cross-section walls are considered, which are uniform, linear and nonlinear. The critical buckling temperature and post-buckling behavior of FG box-beams under thermal loading with different values of power law index p for different types of boundary conditions, clamped-clamped (CC), clamped-simply supported (CS), and simply supported (SS), are given to investigate the effects of the power-law index on structural behavior. Nonlinear stability analysis is performed to obtain the thermal load versus displacement curves. The accuracy and reliability of the beam model are verified by comparing it with previous research results and several benchmark examples.