ON A CLASS OF PLANE RADIAL DEFORMATIONS OF COMPRESSIBLE NONLINEARLY ELASTIC SOLIDS

Authors
ARON M
Citation
M. Aron, ON A CLASS OF PLANE RADIAL DEFORMATIONS OF COMPRESSIBLE NONLINEARLY ELASTIC SOLIDS, IMA journal of applied mathematics, 52(3), 1994, pp. 289-296
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
IMA journal of applied mathematics → ACNP
ISSN journal
02724960
Volume
52
Issue
3
Year of publication
1994
Pages
289 - 296
Database
ISI
SICI code
0272-4960(1994)52:3<289:OACOPR>2.0.ZU;2-T
Abstract
In a plane strain framework, the largest class of isotropic unconstrai ned hyperelastic solids for which a certain class of plane radial defo rmations is possible in the absence of body forces is characterized in terms of the stored-energy function. Also obtained are sufficient con ditions for the local stability of radial configurations of elastic ho llow cylinders whose inner and outer lateral surfaces are subject to p rescribed boundary displacement.