We show the existence of an energetic solution to a quasistatic evolutionary model of shape memory alloys. Elastic behavior of each material phase/variant is described by polyconvex energy density. Additionally, to every phase boundary, there is an interface-polyconvex energy assigned, introduced by M. \v{S}ilhav\'{y}. The model considers internal variables describing the evolving spatial arrangement of the material phases and a deformation mapping with its first-order gradients. It allows for injectivity and orientation-preservation of deformations. Moreover, the resulting material microstructures have finite length scales.
@article{arxiv.1508.02990,
title = {A sharp interface evolutionary model for shape memory alloys},
author = {Hans Knüpfer and Martin Kružík},
journal= {arXiv preprint arXiv:1508.02990},
year = {2015}
}