Project Details
Projekt
Multiscale folding patterns in thin elastic sheets
Applicant
Professor Dr. Sergio Conti
Subject Area
Mathematics
Term
from 2002 to 2010
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 5389403
The derivation and the study of reduced theories for the elastic properties of thin films is a traditional field of (heuristic) multiscale analysis, dating back to Euler. A rigorous derivation of such models from three-dimensional elasticity theory is instead a recent development. The focus is on the case of compressive boundary conditions, which arise e.g. after deposition at high temperature on a substrate with a larger thermal expansion coefficient, cooling to room temperature and subsequent debonding. ... The work on energy scaling suggests but does not imply that asymptotically self-similar refinement of folds occurs near the boundaries of the debonded region without specifying the exponent; and that energy concentrates along the boundary and on a one-dimensional set in the interior part of the domain without specifying where. Both issues will be explored and the analysis will be extended to the case of anisotropic compression. ...
DFG Programme
Priority Programmes
