Intertwined spiraling crack path in perforated sheets

Abstract eng:
When a brittle sheet is indented by a rigid cone, a radial fracture pattern is usually observed (“petalling”). We show experimentally then the number n of cracks is smaller than 4, a spiraling pattern is observed instead of the petalling mode. In the limit of very thin and very brittle sheet, we do find solutions where the crack path are intertwined logarithmic spirals, and compute the corresponding perforation force. Both the geometry and the force agree well with experiments.

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