Nonlinear Size-Dependent Analysis of Elastic Tiny-Bodies
Many researchers have studied the effect of surface energy on the
elastic behavior of nano-structural elements based on Gurtin and Murdoch surface
model. Many of them, however, assumed that the surface energy depends only on
the 2D symmetric infinitesimal surface strains and neglects the second-order
products of surface strains/displacement gradients. Moreover, there are some
researchers assumed that the surface energy is independent on infinitesimal
rotation tensor and neglected all rotation