Deformation around a nanosized elliptical hole with surface effect

In the present letter, the effect of surface energy on the deformation around an elliptical hole is analyzed, and the closed-form solution is obtained by the complex variable formulation. The results show that when the size of the hole reduces to the same order of the ratio of surface energy to applied stress, the contribution from surface becomes important, and the shape of the hole coupled with surface energy has significant effect on the elastic state around the hole.