ON GLOBAL VOLUME CHANGES ACCOMPANYING CERTAIN PLANE-STRAIN NONLINEAR ELASTIC DEFORMATIONS

Authors
Citation
M. Aron, ON GLOBAL VOLUME CHANGES ACCOMPANYING CERTAIN PLANE-STRAIN NONLINEAR ELASTIC DEFORMATIONS, International journal of solids and structures, 34(22), 1997, pp. 2803-2813
Citations number
23
Categorie Soggetti
Mechanics
ISSN journal
00207683
Volume
34
Issue
22
Year of publication
1997
Pages
2803 - 2813
Database
ISI
SICI code
0020-7683(1997)34:22<2803:OGVCAC>2.0.ZU;2-M
Abstract
It is shown in this paper that for certain classes of unconstrained is otropic elastic solids, predictions can be made as to whether the over all volume changes which accompany two nonlinear elastic deformations (namely the radial deformation of cylindrical tubes and the bending of rectangular blocks into annular cylindrical sectors) are expansive or contractive. It is emphasised that such predictions may be viewed as universal relations for the material Classes concerned. (C) 1997 Elsev ier Science Ltd.