We provide (upper and lower) scaling bounds for a singular perturbation model for the cubic-to-tetragonal phase transformation with (partial) displacement boundary data. We illustrate that the order of lamination of the affine displacement data determines the complexity of the microstructure. As in (Rüland and Tribuzio in ESAIM Control Optim. Calc. Var. 29:68, 2023) we heavily exploit careful Fourier space localization methods in distinguishing between the different lamination orders in the data.
Rüland, A., Tribuzio, A. (2024). On the scaling of the cubic-to-tetragonal phase transformation with displacement boundary conditions. JOURNAL OF ELASTICITY, 156(3), 837-875 [10.1007/s10659-024-10075-8].
On the scaling of the cubic-to-tetragonal phase transformation with displacement boundary conditions
Tribuzio, Antonio
2024-01-01
Abstract
We provide (upper and lower) scaling bounds for a singular perturbation model for the cubic-to-tetragonal phase transformation with (partial) displacement boundary data. We illustrate that the order of lamination of the affine displacement data determines the complexity of the microstructure. As in (Rüland and Tribuzio in ESAIM Control Optim. Calc. Var. 29:68, 2023) we heavily exploit careful Fourier space localization methods in distinguishing between the different lamination orders in the data.| File | Dimensione | Formato | |
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