Ricerc@Sapienza

In this contribution some numerical results are presented for the linear dynamics of nanobeams modulated by an axial force. The beam model was recently proposed and encompasses both Eringen's usual nonlocal elasticity and second-gradient strain elasticity. Three different combinations of such aspects provide elastic potential energies that give responses highlighting the various levels of contributions of nonlocality and strain gradient.

Size-dependent structural behavior of inflected Timoshenko elastic nano-beams is investigated by nonlocal continuum mechanics. An innovative stress-driven integral model of elasticity is conceived by swapping source and output fields of Eringen's strain-driven theory. Unlike Eringen's model, the stress-driven nonlocal integral formulation leads to well-posed structural problems. Solution uniqueness and continuous dependence on data are thus ensured.