Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



On the everted state of spherical and cylindrical shells

Author: Andrew J. Szeri
Journal: Quart. Appl. Math. 48 (1990), 49-58
MSC: Primary 73G05; Secondary 73H05, 73K15
DOI: https://doi.org/10.1090/qam/1040233
MathSciNet review: MR1040233
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Abstract: The existence, uniqueness, and qualitative nature of the everted state of spherical and cylindrical shells is examined for elastic materials with stress functions satisfying relatively simple restrictions. Qualitative analysis of the governing nonlinear ordinary differential equation is facilitated by recasting it in stress-stretch coordinates. One finds a continuum of solutions which meet the boundary conditions. Each corresponds uniquely to a shell of a particular thickness. We present numerical solutions which demonstrate the claims of the analysis.

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DOI: https://doi.org/10.1090/qam/1040233
Article copyright: © Copyright 1990 American Mathematical Society

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