Published Paper

Inserted: 18 jul 2023
Last Updated: 2 jul 2024

Journal: J. Elast.
Year: 2024
Doi: 10.1007/s10659-024-10075-8

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 \cite{RT21} we heavily exploit careful Fourier space localization methods in distinguishing between the different lamination orders in the data.