On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s10659-023-10011-2 https://dlib.phenikaa-uni.edu.vn/handle/PNK/8054 |
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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 |
| _version_ |
1763633854349836288 |
| score |
8.891145 |