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On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation

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Main Authors: Angkana, Rüland, Theresa M., Simon
Format: Book
Language:English
Published: Springer 2023
Subjects:
Four-Well Problem Arising
Online Access:https://link.springer.com/article/10.1007/s10659-023-10011-2
https://dlib.phenikaa-uni.edu.vn/handle/PNK/8054
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spelling oai:localhost:PNK-80542023-04-19T02:58:04Z On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation Angkana, Rüland Theresa M., Simon Four-Well Problem Arising CC BY We classify all exactly stress-free solutions to the cubic-to-trigonal phase transformation within the geometrically linearized theory of elasticity, showing that only simple laminates and crossing-twin structures can occur. In particular, we prove that although this transformation is closely related to the cubic-to-orthorhombic phase transformation, all its solutions are rigid. The argument relies on a combination of the Saint-Venant compatibility conditions together with the underlying nonlinear relations and non-convexity conditions satisfied by the strain components. 2023-04-19T02:58:04Z 2023-04-19T02:58:04Z 2023 Book https://link.springer.com/article/10.1007/s10659-023-10011-2 https://dlib.phenikaa-uni.edu.vn/handle/PNK/8054 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Four-Well Problem Arising
spellingShingle Four-Well Problem Arising
Angkana, Rüland
Theresa M., Simon
On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation
description CC BY
format Book
author Angkana, Rüland
Theresa M., Simon
author_facet Angkana, Rüland
Theresa M., Simon
author_sort Angkana, Rüland
title On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation
title_short On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation
title_full On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation
title_fullStr On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation
title_full_unstemmed On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation
title_sort on rigidity for the four-well problem arising in the cubic-to-trigonal phase transformation
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s10659-023-10011-2
https://dlib.phenikaa-uni.edu.vn/handle/PNK/8054
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score 8.893527

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