@inproceedings{df6d12997c34458e94aa0bd22f368f06,
title = "Surface Energies Arising in Microscopic Modeling of Martensitic Transformations in Shape-Memory Alloys",
abstract = "In this study we construct and analyze a two-well Hamiltonian on a 2D atomic lattice.The two wells of the Hamiltonian are prescribed by two rank-one connected martensitic twins, respectively. By constraining the deformed configurations to special 1D atomic chains with position-dependent elongation vectors for the vertical direction, we show that the structure of ground states under appropriate boundary conditions is close to the macroscopically expected twinned configurations with additional boundary layers localized near the twinning interfaces. In addition, we proceed to a continuum limit, show asymptotic piecewise rigidity of minimizing sequences and rigorously derive the corresponding limiting form of the surface energy.",
keywords = "Atomic Lattices, Geometric Rigidity, Martensitic Transformations, Twin Structures",
author = "Georgy Kitavtsev and Stephan Luckhaus and Angkana Rueland",
year = "2015",
month = jul,
day = "1",
doi = "10.4028/www.scientific.net/KEM.651-653.941",
language = "English",
isbn = "9783038354710",
series = "Key Engineering Materials",
publisher = "World Scientific Publishing Co.",
pages = "941--943",
editor = "Aldo Ofenheimer and Cecilia Poletti and Daniela Schalk-Kitting and Christof Sommitsch",
booktitle = "Material Forming ESAFORM 2015",
address = "Singapore",
}