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A Generalized Model for Curved Nanobeams Incorporating Surface Energy
1Mechanical Engineering Department, College of Engineering and Physics, KFUPM, Dhahran 31261, Saudi Arabia.
Micromachines
|March 29, 2023
Summary
This study introduces a new model for nanobeams, accounting for surface energy effects. Results show surface stress significantly impacts nanobeam stiffness, with distinct behaviors for fixed-fixed and fixed-free configurations.
Area of Science:
- Solid Mechanics
- Materials Science
- Nanotechnology
Background:
- Nanobeam behavior is significantly influenced by surface energy effects.
- Existing models often do not fully capture these nanoscale phenomena.
- Surface stress plays a critical role in the mechanical response of nanostructures.
Purpose of the Study:
- To develop a comprehensive model for nanobeams that includes beam curvature and surface energy.
- To investigate the influence of surface stress on the static bending of nanobeams.
- To validate the proposed model against experimental data.
Main Methods:
- Utilized Gurtin-Murdoch surface stress theory combined with Euler-Bernoulli beam theory.
- Developed a comprehensive mathematical model for nanobeam analysis.
- Validated the model by comparing simulation results with published experimental data for static bending.
Main Results:
- The developed model accurately predicts nanobeam behavior under static bending.
- Surface stress was found to alter the effective stiffness of nanobeams.
- Distinct changes in stiffness were observed for fixed-fixed and fixed-free nanobeam configurations due to surface stress.
Conclusions:
- The comprehensive nanobeam model effectively incorporates surface energy effects.
- Surface stress is a crucial factor influencing nanobeam mechanical properties.
- The study provides valuable insights into the design and analysis of nanomechanical devices.
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