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Inversion of a perfectly elastic spherical shell
Author(s) -
Ericksen J. L.
Publication year - 1955
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19550350909
Subject(s) - spherical shell , compressibility , shell (structure) , inversion (geology) , geometry , strain energy , elastic energy , surface (topology) , mechanics , classical mechanics , geology , materials science , physics , mathematics , composite material , finite element method , thermodynamics , paleontology , structural basin
Abstract The problem of inversion of a spherical shell which is made of an incompressible, perfectly elastic material is solved in full generality. It is shown that, if the strain energy is of the form assumed in the Mooney‐Rivlin theory for rubber, then the surfaces of the deformed shell may be left free of surface tractions.