Curvature condensation and bifurcation in an elastic shell

Curvature condensation and bifurcation in an elastic shell

Curvature condensation and bifurcation in an elastic shell M. Das, A. Vaziri, A. Kudrolli, and L. Mahadevan,  Physical Review Letters,  98, 014301, 2007.
[View PDF] [Download PDF]
Abstract

We study the formation and evolution of localized geometrical defects in an indented cylindrical elastic
shell using a combination of experiment and numerical simulation. We find that as a symmetric localized
indentation on a semicylindrical shell increases, there is a transition from a global mode of deformation to
a localized one which leads to the condensation of curvature along a symmetric parabolic defect. This
process introduces a soft mode in the system, converting a load-bearing structure into a hinged, kinematic
mechanism. Further indentation leads to twinning wherein the parabolic defect bifurcates into two defects
that move apart on either side of the line of symmetry. A qualitative theory captures the main features of
the phenomena but leads to further questions about the mechanism of defect nucleation