Surface effects on stability of nanorings under uniform pressure

In this work, we study the effect of surface stress on the stability behavior of a circular ring with nano dimensions under uniform pressure. It is known that the surface elasticity and residual surface tension can have significant effects on the mechanical behavior of the nano-sized structures. Taking both effects into account, we present an analytical expression for the smallest critical radial load acting on the nanoring. It is shown that, depending on surface mechanical properties of the nanoring, these effects can stabilize or destabilize the nanoring under uniform pressure. The results, in this work, are expected to provide informative predictions on characterizing the stability behavior of nano elements used in nanostructured devices.