Vol 60, No 2 (2008)

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Space of SO (3)-orbits of elasticity tensors

A. Bóna, I. Bucataru, M.A. Slawinski

Arch. Mech. 60 (2), 123-138, 2008

Keywords: elasticity tensor; space of orbits; parametrization; orbifold


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.

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