Item Infomation
Title: | On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation |
Authors: | Angkana, Rüland Theresa M., Simon |
Issue Date: | 2023 |
Publisher: | Springer |
Abstract: | 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. |
Description: | CC BY |
URI: | https://link.springer.com/article/10.1007/s10659-023-10011-2 https://dlib.phenikaa-uni.edu.vn/handle/PNK/8054 |
Appears in Collections | OER - Kỹ thuật điện; Điện tử - Viễn thông |
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