Curvature Condensation and Bifurcation in an Elastic Shell
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CitationDas, Moumita, Ashkan Vaziri, Arshad Kudrolli, and L. Mahadevan. 2007. “Curvature Condensation and Bifurcation in an Elastic Shell.” Physical Review Letters 98 (1). https://doi.org/10.1103/physrevlett.98.014301.
AbstractWe 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.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:41417308
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