Conical defects in growing sheets.

نویسندگان

  • Martin Michael Müller
  • Martine Ben Amar
  • Jemal Guven
چکیده

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. 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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عنوان ژورنال:
  • Physical review letters

دوره 101 15  شماره 

صفحات  -

تاریخ انتشار 2008