Size-dependent resonance and buckling behavior of nanoplates with high-order surface stress effects

• We derive the resonance frequency and buckling load for nanoplates with a high-order surface stress model.
• Compared to conventional surface stress model, our model shows that the high-order surface stress effect could be significant.

This work presents a theoretical study of the resonance frequency and buckling load of nanoplates with high-order surface stress model. A classical thin plate theory based on Kirchhoff–Love assumption is implemented with surface effects. Circular and rectangular nanoplates with simply supported end conditions are exemplified. The size-dependent solutions are compared with the simplified solutions based on simple surface stress model, and also on the classical theory of elasticity. We aim to explore the scope of applicability so that the modified continuum mechanics model could serve as a refined approach in the prediction of mechanical behavior of nanoplates.

This figure presents the compressive buckling force for a simply-supported circular nanoplate. Our model demonstrates that the high-order surface effect can be significant.Figure optionsDownload as PowerPoint slide