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
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OER - Kỹ thuật điện; Điện tử - Viễn thông
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