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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC: 73G05, 73H05, 73K15

Retrieve articles in all journals with MSC: 73G05, 73H05, 73K15


Additional Information

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


Brown University The Quarterly of Applied Mathematics
is distributed by the American Mathematical Society
for Brown University
Online ISSN 1552-4485; Print ISSN 0033-569X
© 2017 Brown University
Comments: qam-query@ams.org
AMS Website