INFINITELY STRETCHED MOONEY SURFACES OF REVOLUTION ARE UNIFORMLY STRESSED CATENOIDS

Axially and radially stretched Mooney surfaces of revolution are found to tend to catenoids as the stretching tends to infinity. Moreover, two catenoids are found to exist for any given set of stretching parameters. A formal two-term asymptotic solution is obtained explicitly and the stretching of a...

Full description

Saved in:
Bibliographic Details
Published in:Quarterly of applied mathematics 1974-10, Vol.32 (3), p.273-284
Main Author: WU, CHIEN-HENG
Format: Article
Language:English
Subjects:
Boundary conditions
Catenaries
Energy
Integration constants
Mathematical constants
Mathematics
Potential energy
Resultants
Sine function
Surfaces of revolution
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Axially and radially stretched Mooney surfaces of revolution are found to tend to catenoids as the stretching tends to infinity. Moreover, two catenoids are found to exist for any given set of stretching parameters. A formal two-term asymptotic solution is obtained explicitly and the stretching of a cylindrical surface is given as an example.
ISSN:0033-569X
1552-4485
DOI:10.1090/qam/99679