Crumpling singularities in real
sheets
ridge
d-cone
X
h
Width w adopts new length scale controlled by stretching
ridge
d-cone vertex
crescent singularity at tip
controlled by stretching
w ~ X (X/h)-1/3
–Chicago
group 1995 http://jfi.uchicago.edu/~tten/Crumpling/
–Cerda,
Chaieb, Melo, Mahadevan 1998
h << w << X
w
energy ~ log X/h