Phys. Rev. Lett. 101, 156104 (2008) [4 pages]Conical Defects in Growing Sheets
See accompanying Physics Focus A growing or shrinking disc will adopt a conical shape, its intrinsic geometry characterized by a surplus angle φe at the apex. If growth is slow, the cone will find its equilibrium. Whereas this is trivial if φe≤0, the disc can fold into one of a discrete infinite number of states if φe>0. We construct these states in the regime where bending dominates and determine their energies and how stress is distributed in them. For each state a critical value of φe is identified beyond which the cone touches itself. Before this occurs, all states are stable; the ground state has twofold symmetry. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.156104
DOI:
10.1103/PhysRevLett.101.156104
PACS:
68.55.−a, 02.40.Hw, 46.32.+x
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