
%0 Journal Article
%A Tschoegl, NW 
%T The General Relationships Between the Elastic Constants of Isotropic Materials in n Dimensions
%J Australian Journal of Physics
%D 1958/06/01
%V 11
%N 2
%P 154-157
%K 
%R https://doi.org/10.1071/PH580154
%U https://www.publish.csiro.au/paper/PH580154 
%X The relationships between the elastic constants of homogeneous isotropic materials in n dimension are derived and are shown to depend on n. The maximal value of the generalized Poisson's ratio is 1/(n?1). The n-dimensional formulae reproduce the well-known three-dimensional relations for n=3, while n=2 produces the relations, appropriate for monomolecular films. The correct degeneration is shown for n= 1. 
