Thermo-rotational buckling and post-buckling analyses of rotating functionally graded microbeams

Abstract

Buckling and post-buckling responses of rotating clamped–clamped functionally graded microbeams in thermal environment are examined on the basis of the Euler–Bernoulli beam assumption. To enrich the formulation with the size effect the modified couple stress theory is employed. The temperature dependency of material properties is considered. The nonlinear finite element technique alongside with the Newton–Raphson technique is utilized to extract the prestressed deformation. Moreover, the direct iteration method is employed to determine the buckling point and post-buckling equilibrium path. The impacts of material length scale parameter, volume fraction exponent, rotor radius, microbeam length to its thickness proportion and rotation speed on the presented outcomes are examined.