科研之友
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摘要
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 h > 0 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.
- 出版日期2018-5
