BibTex Citation
@ARTICLE{Ruland2024-ta, title = "On the scaling of the cubic-to-tetragonal phase transformation with displacement boundary conditions", author = "R{\"u}land, Angkana and Tribuzio, Antonio", abstract = "AbstractWe 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 (R{\"u}land 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.", journal = "J. Elast.", publisher = "Springer Science and Business Media LLC", volume = 156, number = 3, pages = "837--875", month = oct, year = 2024, copyright = "https://creativecommons.org/licenses/by/4.0", language = "en" }