The influence of the surface stress on the local buckling of a plate with a circular nanohole

The influence of the surface stress on the local buckling of an infinite plate with a circular nanohole under the uniaxial remote tension is investigated. The critical (Euler) load corresponding to the buckling is found with the Ritz method in the framework of the linearized von Kármán set of equations. Numerical computations are performed with the Ritz method for various elastic properties of the surface. It is shown that one doesn´t get a significant correction of the local buckling (i.e of the critical load), if residual surface stress is included into the mathematically exact theory of surface elasticity.