Journal
PHYSICAL REVIEW LETTERS
Volume 101, Issue 15, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.101.156104
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Funding
- CONACyT [51111]
- DGAPA PAPIIT [IN119206-3]
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A growing or shrinking disc will adopt a conical shape, its intrinsic geometry characterized by a surplus angle phi(e) at the apex. If growth is slow, the cone will find its equilibrium. Whereas this is trivial if phi(e)<= 0, the disc can fold into one of a discrete infinite number of states if phi(e)> 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 phi(e) is identified beyond which the cone touches itself. Before this occurs, all states are stable; the ground state has twofold symmetry.
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