Buckling and vibration of core–shell nanowires with weak interfaces

The aim of this paper is to establish a continuum elastic model for core–shell nanowires with weak interfacial bonding. In order to achieve it, a new beam model is proposed, which vanishes the surface shear stress and satisfies the interfacial cohesive law automatically. Critical buckling loads and resonant frequencies of simply supported nanowires are obtained by using the Ritz method. Numerical examples indicate that the weak interface's effect reduces the overall structural stiffness, which is most significant when the inner–outer radius ratio of the shell is near 0.65. It is also found that the shear deformation and weak interface's effects only need consideration when the nanowire is not quite long, and they affect buckling behaviors more significantly than vibration characteristics.

Research highlights▶ The beam model vanishes the surface shear stress automatically. ▶ Higher order shear deformation is considered for core-shell nanowires. ▶ The effect of the weak interfacial bonding is incorporated in the beam model. ▶ The interfacial slippage reduces critical buckling loads and resonant frequencies.