| Autor: |
Davidovitch B; Physics Department, University of Massachusetts, Amherst, Massachusetts 01003, USA., Schroll RD, Cerda E |
| Jazyk: |
angličtina |
| Zdroj: |
Physical review. E, Statistical, nonlinear, and soft matter physics [Phys Rev E Stat Nonlin Soft Matter Phys] 2012 Jun; Vol. 85 (6 Pt 2), pp. 066115. Date of Electronic Publication: 2012 Jun 13. |
| DOI: |
10.1103/PhysRevE.85.066115 |
| Abstrakt: |
The wrinkled geometry of thin films is known to vary appreciably as the applied stresses exceed their buckling threshold. Here we derive and analyze a minimal, nonperturbative set of equations that captures the continuous evolution of radial wrinkles in the simplest axisymmetric geometry from threshold to the far-from-threshold limit, where the compressive stress collapses. This description of the growth of wrinkles is different from the traditional post-buckling approach and is expected to be valid for highly bendable sheets. Numerical analysis of our model predicts two surprising results. First, the number of wrinkles scales anomalously with the thickness of the sheet and the exerted load, in apparent contradiction with previous predictions. Second, there exists an invariant quantity that characterizes the mutual variation of the amplitude and number of wrinkles from threshold to the far-from-threshold regime. |
| Databáze: |
MEDLINE |
| Externí odkaz: |
|
