Bending of nanobeams in finite elasticity

Motivated by the need to have a fully nonlinear beam model usable at nanoscale, in this paper equilibrium problem of inflexed nanobeams context nonlocal finite elasticity is investigated. Considering both deformations and displacements large, three-dimensional kinematic has been proposed. Extending linear Eringen theory, constitutive law integral form for Cauchy stress tensor defined. Finally, imposing conditions, governing equations are obtained. These take coupled system three form, which solved numerically. Explicit formulae displacements, stretches stresses every point nanobeam derived. By way example, simply supported nanobeam, under considered. The effects on deformation internal actions shown through some graphs discussed detail.