The General Relationships Between the Elastic Constants of Isotropic Materials in n Dimensions
Open Access
- 1 January 1958
- journal article
- research article
- Published by CSIRO Publishing in Australian Journal of Physics
- Vol. 11 (2) , 154-157
- https://doi.org/10.1071/ph580154
Abstract
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.Keywords
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