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
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.