CYLINDRICAL AND SPHERICAL INFLATION IN COMPRESSIBLE FINITE ELASTICITY

Authors
HILL JM
Citation
Jm. Hill, CYLINDRICAL AND SPHERICAL INFLATION IN COMPRESSIBLE FINITE ELASTICITY, IMA journal of applied mathematics, 50(2), 1993, pp. 195-201
Citations number
4
Categorie Soggetti
Mathematics,Mathematics
Journal title
IMA journal of applied mathematics → ACNP
ISSN journal
02724960
Volume
50
Issue
2
Year of publication
1993
Pages
195 - 201
Database
ISI
SICI code
0272-4960(1993)50:2<195:CASIIC>2.0.ZU;2-T
Abstract
Murphy (1992) examined cylindrical and spherical inflation of compress ible perfectly elastic materials having three special forms of the str ain-energy function. In this paper a general procedure for handling su ch problems for any strain-energy function is proposed. This procedure is used to confirm some of the results by Murphy as well as to deduce new solutions. One solution obtained by that author for cylindrical i nflation is found to be incorrect.