Nanoindentation study and theoretical analysis of elastic behavior of single TiO2 nanobelt and nanotube

Abstract

Based on the theory of plate and shell mechanics, single TiO2 nanoribbon and nanotube were abstracted into a two-dimensional (2D) thin plate model and cylindrical shell model respectively. The mechanical behavior under load in the corresponding working environment was discussed, and the corresponding continuum equivalent mechanical model and mechanical behavior were established and theoretically calculated, respectively. Combined with the measured results of the atomic force microscope (AFM), the theoretical and experimental results are compared to verify the rationality of the theoretical model. Herein, the constitutive equations and solution approaches are given, and the reliability of the theoretical model is confirmed by the measured results of AFM, which could provide an important basis for the application of nanodevices or structures based on TiO2 nanoribbons or nanotubes.