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.
Original language | English (US) |
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Pages (from-to) | 455-475 |
Number of pages | 21 |
Journal | Journal of Elasticity |
Volume | 153 |
Issue number | 3 |
DOIs | |
State | Published - Apr 2023 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- General Materials Science
- Mechanics of Materials
- Mechanical Engineering
Keywords
- Cubic-to-trigonal phase transformation
- Geometrically linearized theory
- Rigidity
- Shape-memory alloy
- Structure result