A gradient model for torsion of nanobeams

A first-order gradient model based on the Eringen nonlocal theory is presented. The variational formulation, the governing differential equation and both classical and non-classical boundary conditions of nonlocal nanobeams subjected to torsional loading distributions are derived using a thermodynamic approach, thus providing closed-form solutions. Nanocantilevers and fully campled nanobeams are considered to investigate the size-dependent...