Space of SO (3)-orbits of elasticity tensors

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Authors

  • A. Bóna Department of Exploration Geophysics, Curtin University of Technology, Australia
  • I. Bucataru Faculty of Mathematics, "Al. I. Cuza" University, Romania
  • M.A. Slawinski Department of Earth Sciences, Memorial University, Canada

Abstract

We construct an eighteen-dimensional orbifold that is in a one-to-one correspondence with the space of SO (3)-orbits of elasticity tensors. This allows us to obtain a local parametrization of SO (3)-orbits of elasticity tensors by six SO (6)-invariant and twelve SO (3)-invariant parameters. This process unravels the structure of the space of the orbits of the elasticity tensors.

Keywords:

elasticity tensor, space of orbits, parametrization, orbifold