Cones, Crescents and Crumpling.
L. Mahadevan (Mechanical Engineering,MIT)

Vendredi 20 mars 1998

When a thin elastic sheet is crumpled, the stress becomes localized along a network of ridges. The ridges meet at peaks, which are locally conical, but not axisymmetric.

We analyze the geometry and elasticity of a single conical singularity on a crumpled elastic sheet using a physical realization in terms of a contact problem.

We verify some universal features of the analytically determined shape qualitatively and show that this solution charaterizes a macroscopic dislocation.