Abstract
Due to the development of novel micro-fabrication techniques to produce ultra-thin materials and increasing interest in thin biological membranes, in recent years, the mechanical characterization of thin films has received a significant amount of attention. To provide a more accurate solution for the relationship among contact radius, load and deflection, the fundamental and widely applicable problem of spherical indentation of a freestanding circular membrane have been revisited. The work presented here significantly extends the previous contributions by providing an exact analytical solution to the governing equations of Föppl–Hecky membrane indented by a frictionless spherical indenter. In this study, experiments of spherical indentation has been performed, and the exact analytical solution presented in this paper is compared against experimental data from existing literature as well as our own experimental results.
| Original language | English |
|---|---|
| Pages (from-to) | 85-102 |
| Number of pages | 18 |
| Journal | Journal of the Mechanics and Physics of Solids |
| Volume | 100 |
| DOIs | |
| State | Published - Mar 1 2017 |
Funding
C. Jin thanks the start-up funds provided by the Department of Mechanical Engineering at the State University of New York at Binghamton. J. Li thanks the funding support from the US-China CERC-CVC under the Award Number DE-PI0000012 and the experiments were conducted at Oak Ridge National Laboratory, managed by UT Battelle, LLC, for the U. S. Department of Energy under contract DE-AC05-00OR22725.
| Funders | Funder number |
|---|---|
| Department of Mechanical Engineering at the State University of New York | |
| U. S. Department of Energy | DE-AC05-00OR22725 |
| US-China | DE-PI0000012 |
| Battelle |
Keywords
- Analytical solution
- Experiments
- Membrane
- Spherical indentation
- Thin film
