420 research outputs found
An obstacle problem for conical deformations of thin elastic sheets
A developable cone ("d-cone") is the shape made by an elastic sheet when it
is pressed at its center into a hollow cylinder by a distance .
Starting from a nonlinear model depending on the thickness of the
sheet, we prove a -convergence result as to a
fourth-order obstacle problem for curves in . We then describe
the exact shape of minimizers of the limit problem when is small. In
particular, we rigorously justify previous results in the physics literature.Comment: 25 page
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