Space of SO(3) orbits of elasticity tensors
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 pro...
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| Format: | Journal Article |
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PAN (Institute of Fundamental Technological Research)
2008
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| Online Access: | http://am.ippt.pan.pl/index.php/am/article/viewFile/260/pdf http://hdl.handle.net/20.500.11937/12031 |
| _version_ | 1848747965997383680 |
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| author | Bona, Andrej Bucataru, I. Slawinski, Michael |
| author_facet | Bona, Andrej Bucataru, I. Slawinski, Michael |
| author_sort | Bona, Andrej |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T06:57:32Z |
| format | Journal Article |
| id | curtin-20.500.11937-12031 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:57:32Z |
| publishDate | 2008 |
| publisher | PAN (Institute of Fundamental Technological Research) |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-120312017-10-02T02:27:29Z Space of SO(3) orbits of elasticity tensors Bona, Andrej Bucataru, I. Slawinski, Michael elasticity tensor orbifold space of orbits parametrization 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. 2008 Journal Article http://hdl.handle.net/20.500.11937/12031 http://am.ippt.pan.pl/index.php/am/article/viewFile/260/pdf PAN (Institute of Fundamental Technological Research) restricted |
| spellingShingle | elasticity tensor orbifold space of orbits parametrization Bona, Andrej Bucataru, I. Slawinski, Michael Space of SO(3) orbits of elasticity tensors |
| title | Space of SO(3) orbits of elasticity tensors |
| title_full | Space of SO(3) orbits of elasticity tensors |
| title_fullStr | Space of SO(3) orbits of elasticity tensors |
| title_full_unstemmed | Space of SO(3) orbits of elasticity tensors |
| title_short | Space of SO(3) orbits of elasticity tensors |
| title_sort | space of so(3) orbits of elasticity tensors |
| topic | elasticity tensor orbifold space of orbits parametrization |
| url | http://am.ippt.pan.pl/index.php/am/article/viewFile/260/pdf http://hdl.handle.net/20.500.11937/12031 |