Nonlocal Refined Theory for Nanobeams with Surface Effects

In this study we propose governing differential equations for beams taking into account shear deformation, rotary inertia, locality and surface stress effects. It is shown that the equation is both simpler and more consistent than the appropriate Bresse-Timoshenko equations extended to include locality and surface stress effects. Proposed equation contains 11 terms with respect to displacement versus 19 terms appearing in the equations that extend the Bresse-Timoshenko equations to include nonlocality and surface effects. (author)