Stress-driven nonlocal model on snapping of doubly hinged shallow arches

Abstract

The snap-through analysis of shallow doubly hinged sinusoidal nano-arches subjected to sinusoidal load, considering the nonlocal effects, by using the stress-driven nonlocal model is concerned. The problem is formulated within the framework of Bernoulli-Euler beam theory including geometrical nonlinearity. Numerical simulations are made to investigate the effects of the geometry of the arch, and the nonlocal parameter on the buckling load and on the buckling deflection. Insights and conclusions regarding the effects of various stages of deformation on the stress resultants, and on the buckling including prebuckling and postbuckling are presented. Variations of the stress resultants along the arch are shown.