0465809 - ÚTIA 2017 RIV DE eng J - Journal Article
Knüpfer, H. - Kružík, Martin
A sharp interface evolutionary model for shape memory alloys.
ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. Roč. 96, č. 11 (2016), s. 1347-1355. ISSN 0044-2267. E-ISSN 1521-4001
R&D Projects: GA ČR GA14-15264S
Institutional support: RVO:67985556
Keywords : Polyconvexity * shape memory materials * rate-independent problems
Subject RIV: BA - General Mathematics
Impact factor: 1.332, year: 2016 ; AIS: 0.555, rok: 2016
Result website:
http://library.utia.cas.cz/separaty/2016/MTR/kruzik-0465809.pdf

DOI: https://doi.org/10.1002/zamm.201500209

We showthe 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 in [49]. 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.
Permanent Link: http://hdl.handle.net/11104/0265683