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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| Dokumenttyp: | Book/Monograph |
| Sprache: | Englisch |
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Leipzig
Max-Planck-Institut für Mathematik in den Naturwissenschaften
2013
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| Schriftenreihe: | Preprints / Max-Planck-Institut für Mathematik in den Naturwissenschaften
2013,45 |
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Preprints (2013,45)
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| Online-Zugang: | Verlag, kostenfrei, Volltext: http://webdoc.sub.gwdg.de/ebook/serien/e/MPI_Math_Nat/preprint2013_45.pdf
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| 245 | 1 | 4 | |a The cubic-to-orthorhombic phase transition |b rigidity and non-rigidity properties in the linear theory of elasticity |c Angkana Rüland |
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| 520 | |a 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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