Thermal Post-buckling Analysis of Moderately Thick Nanobeams

As a first attempt, the thermal buckling and post-buckling behaviors of moderately thick nanobeams subject to uniform temperature rise are investigated via employing the differential quadrature method (DQM). Considering the von-Kármán’s assumptions, governing equations of the nanobeams are derived using the Eringen’s nonlocal elasticity theory in conjunction with the first-order shear deformation beam theory. The differential quadrature method is used to discretize the governing equations. The direct iterative displacement control method is coupled with the DQM to solve the nonlinear system of algebraic equations. Rapid rate of convergence and accuracy of the method for solving the problem are shown, and effects of the small-scale parameters on the thermal buckling and post-buckling behaviors of the nanobeams for different boundary conditions and length-to-thickness ratios are demonstrated.