A Generalized Model for Curved Nanobeams Incorporating Surface Energy
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Updated: Aug 5, 2025

Atomic Force Microscopy Cantilever-Based Nanoindentation: Mechanical Property Measurements at the Nanoscale in Air and Fluid
Published on: December 2, 2022
1Mechanical Engineering Department, College of Engineering and Physics, KFUPM, Dhahran 31261, Saudi Arabia.
Abstract:
This work presents a comprehensive model for nanobeams, incorporating beam curvature and surface energy. Gurtin-Murdoch surface stress theory is used, in conjunction with Euler-Bernoulli beam theory, to model the beams and take surface energy effects into consideration. The model was validated by contrasting its outcomes with experimental data published in the literature on the static bending of fixed-fixed and fixed-free nanobeams. The outcomes demonstrated that surface stress alters the stiffness of both fixed-fixed and fixed-free nanobeams with different behaviors in each case.
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