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 linearized theory of elasticity displ...
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| Main Author: | |
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| Format: | Book/Monograph |
| Language: | English |
| Published: |
Leipzig
Max-Planck-Institut für Mathematik in den Naturwissenschaften
2013
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| Series: | Preprints / Max-Planck-Institut für Mathematik in den Naturwissenschaften
2013,45 |
| In: |
Preprints (2013,45)
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| Subjects: | |
| Online Access: | Verlag, kostenfrei, Volltext: http://webdoc.sub.gwdg.de/ebook/serien/e/MPI_Math_Nat/preprint2013_45.pdf
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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 linearized 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 values of ō. |
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| Physical Description: | Online Resource |