The cubic-to-orthorhombic phase transition: rigidity and non-rigidity properties in the linear theory of elasticity
In this paper we investigate the cubic-to-orthorhombic phase transition in the framework of linear elasticity. Using convex integration techniques, we prove that this phase transition represents one of the simplest three-dimensional examples in which already the linearised theory of elasticity displ...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
16 February 2016
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| In: |
Archive for rational mechanics and analysis
Year: 2016, Volume: 221, Issue: 1, Pages: 23-106 |
| ISSN: | 1432-0673 |
| DOI: | 10.1007/s00205-016-0971-5 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00205-016-0971-5
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| Author Notes: | Angkana Rüland |
| Summary: | In this paper we investigate the cubic-to-orthorhombic phase transition in the framework of linear elasticity. Using convex integration techniques, we prove that this phase transition represents one of the simplest three-dimensional examples in which already the linearised theory of elasticity displays non-rigidity properties. As a complementary result, we demonstrate that surface energy constraints rule out such highly oscillatory behaviour. We give a full characterization of all possibly emerging patterns for generic material parameters. |
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| Item Description: | Gesehen am 27.05.2021 |
| Physical Description: | Online Resource |
| ISSN: | 1432-0673 |
| DOI: | 10.1007/s00205-016-0971-5 |