Nonlinear thermal buckling of axially functionally graded micro and nanobeams

Abstract

In this study, the nonlinear thermal buckling of axially functionally graded (AFG) Euler-Bernoulli micro/nanobeams is analyzed. The Eringen's nonlocal elasticity theory is used to develop the governing equations of nanobeam and the modified couple stress theory is used to study the microbeam. The micro- and nanobeams are made of pure metal, pure ceramic and axially functionally graded material which is the composition of metal and ceramic. Boundary conditions are considered as clamped (CC) and simply supported (SS). The generalized differential quadrature method (GDQM) is used along with the iteration technique to solve the nonlinear equations. The parametric studies are served to examine the effects of the small scale parameters, length to height ratio (L/h), nonlinear amplitude and AFG power index on the buckling temperature of the micro- and nanobeams.