TY - JOUR
T1 - Self-similar folding patterns and energy scaling in compressed elastic sheets
JF - Comput. Methods Appl. Mech. Engrg. 194 (2005) 2534-2549
Y1 - 2005
A1 - Sergio Conti
A1 - Antonio DeSimone
A1 - Stefan MÃ¼ller
AB - Thin elastic sheets under isotropic compression, such as for example blisters formed by thin films which debonded from the substrate, can exhibit remarkably complex folding patterns. We discuss the scaling of the elastic energy with respect to the film thickness, and show that in certain regimes the optimal energy scaling can be reached\\nby self-similar folding patterns that refine towards the boundary, in agreement with experimental observations. We then extend the analysis\\nto anisotropic compression, and discuss a simplified scalar model which suggests the presence of a transition between a regime where\\nthe deformation is governed by global properties of the domain and another one where the direction of maximal compression dominates and the scale of the folds is mainly determined by the distance to the boundary in the direction of the folds themselves.
PB - Elsevier
UR - http://hdl.handle.net/1963/3000
U1 - 1333
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -