Space of SO(3) orbits of elasticity tensors
Access Status
Fulltext not available
Authors
Bona, Andrej
Bucataru, I.
Slawinski, Michael
Date
2008Type
Journal Article
Metadata
Show full item recordAbstract
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.
Citation
Bona, A. and Bucataru, I. and Slawinski, M.A. 2008. Space of SO(3)-orbits of elasticity tensors. Archives of Mechanics. 60 (2): pp. 123-138.
Source Title
Archives of Mechanics
Additional URLs
Faculty
Department of Exploration Geophysics
Faculty of Science and Engineering
WA School of Mines
Collections
Related items
Showing items related by title, author, creator and subject.
-
Dovesi, R.; Orlando, R.; Erba, A.; Zicovich-Wilson, C.; Civalleri, B.; Casassa, S.; Maschio, L.; Ferrabone, M.; De La Pierre, M; D'Arco, P.; Noël, Y.; Causà, M.; Rérat, M.; Kirtman, B. (2014)The capabilities of the CRYSTAL14 program are presented, and the improvements made with respect to the previous CRYSTAL09 version discussed. CRYSTAL14 is an ab initio code that uses a Gaussian-type basis set: both ...
-
Demichelis, Raffaella; Noel, Y.; D'Arco, P.; Rerat, M.; Zicovich-Wilson, C.; Dovesi, R. (2011)The structural, electronic, dielectric, and elastic properties of zigzag and armchair single-walled carbon nanotubes are investigated at different DFT levels (LDA, GGA, hybrids) with Gaussian type basis sets of increasing ...
-
Arbeck, D.; Haussuhl, E.; Vinograd, V.; Winkler, B.; Paulsen, N.; Haussuhl, S.; Milman, V.; Gale, Julian (2012)The elastic stiffness coefficients, cij , of orthorhombic Na2SO4 thenardite (space group Fddd) were measured with an ultrasonic plane wave technique at ambient temperature as a function of hydrostatic pressure in the range ...