Abstract
Three-dimensional (3D) hierarchical wrinkles can be generated on prestrained thermoplastic substrates by sequential cycles of skin layer growth followed by the release of prestrain. However, no mechanics models have explained the formation of multigenerational nanostructures using this nanofabrication process. This article describes an analytical model that can represent multiscale wrinkles with arbitrary numbers of generations. Structural features including wrinkle wavelengths and amplitudes on the nanoscale that are predicted by minimizing the total deformation energy of the system. The calculated wavelengths in each generation are in good agreement with experiment. Our mathematical approach provides design principles for achieving multigenerational hierarchical structures.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 15749-15753 |
| Number of pages | 5 |
| Journal | Langmuir |
| Volume | 34 |
| Issue number | 51 |
| DOIs | |
| State | Published - Dec 26 2018 |
Funding
This work was supported by the Office of Naval Research (N00014-17-1-2482), the National Science Foundation (CMMI-1462633, CMMI-1635443), and the International Institute of Nanotechnology (IIN) at Northwestern University. This work made use of the Northwestern University Micro/ Nano Fabrication Facility (NUFAB), which is supported by the State of Illinois, Northwestern University, and Northwestern University’s Atomic and Nanoscale Characterization Experimental Center (NUANCE) facilities, which are supported by NSF-MRSEC and the MRSEC (DMR-1121262). Y.X. and W.-K.L. gratefully acknowledge support from the Ryan Fellowship and the IIN.
ASJC Scopus subject areas
- Condensed Matter Physics
- Spectroscopy
- General Materials Science
- Surfaces and Interfaces
- Electrochemistry