Paneff, Florian: Elastic properties of Carbon nanomembranes and graphene: theory and experiment. 2021
Inhalt
- Introduction
- Carbon Nanomembranes (CNMs)
- Theory of Bulge Test and Nanoindentation
- Elastic Testing of 2D Materials
- Stress and Strain
- Bulge Test and Nanoindentation
- Bulge Test Theory
- Overview of Common Descriptions of a Pressurized Membrane
- Small and Large Deflection Limit of a Uniformly Pressurized Membrane
- Beams's Model to Describe the Bulge Test
- Hencky's Solution for the Large Deflection Limit
- Behavior of a Membrane with Initial Tension in the Intermediate Regime
- Impact of the Assumption of a Uniformly Lateral Load
- The Influence of Finite Strains
- The Influence of Bending Stiffness
- Conclusions
- Nanoindentation Theory
- 2D modulus
- Methods
- Atomic Force Microscopy (AFM)
- Helium Ion Microscopy (HIM)
- X-ray Photoelectron Spectroscopy (XPS)
- Sader Method for the Determination of the Spring Constant of the Cantilever
- Experimental
- Results
- Determination of the AFM Tip Radius
- 2D Modulus and Young's Modulus of Different CNMs
- Initial Tension
- Uncertainty Estimation
- Summary of all Materials
- Conclusions of the Thesis
- Bibliography
- Declaration of academic honesty
- Mathematica Source Code for the Bulge Test Theory