The shallow shell approach to Pogorelov's problem and the breakdown of ‘mirror buckling’

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The shallow shell approach to Pogorelov's problem and the breakdown of 'mirror buckling'.

We present a detailed asymptotic analysis of the point indentation of an unpressurized, spherical elastic shell. Previous analyses of this classic problem have assumed that for sufficiently large indentation depths, such a shell deforms by 'mirror buckling'-a portion of the shell inverts to become a spherical cap with equal but opposite curvature to the undeformed shell. The energy of deformati...

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ژورنال

عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

سال: 2016

ISSN: 1364-5021,1471-2946

DOI: 10.1098/rspa.2015.0732