Variational modeling of shape memory alloys - An overview

authored by: Klaus Hackl, Philipp Junker, Rainer Heinen
Abstract: Shape memory alloys can be described in a uniform way relying on energetic considerations only. We present micromechanically motivated models for single and polycrystals. The approach studied here is based on energy minimization and includes hysteretic effects via a simple dissipation ansatz. It is capable of reproducing important aspects of the material behavior such as pseudoelasticity and pseudoplasticity. The influence of anisotropies in the crystalline texture as well as in the elastic constants of the austenite and the martensitic variants is also discussed. Furthermore, regularization is applied in order to receive localized but still mesh independent results for phase distributions in a finite element implementation. The entire presentation emphasizes the usage of variational methods leading to the notion of relaxed potentials. Interrelations to various other applications of these concepts will be highlighted.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Ruhr-Universität Bochum
Thyssen Stahl AG
Type: Article
Journal: International Journal of Materials Research
Volume: 102
Pages: 643-651
No. of pages: 9
ISSN: 1862-5282
Publication date: 2011
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Condensed Matter Physics, Physical and Theoretical Chemistry, Metals and Alloys, Materials Chemistry
Electronic version(s): https://doi.org/10.3139/146.110527 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{422bd2e1986a48c18f6aaf6636d4d97d,
title = "Variational modeling of shape memory alloys - An overview",
abstract = "Shape memory alloys can be described in a uniform way relying on energetic considerations only. We present micromechanically motivated models for single and polycrystals. The approach studied here is based on energy minimization and includes hysteretic effects via a simple dissipation ansatz. It is capable of reproducing important aspects of the material behavior such as pseudoelasticity and pseudoplasticity. The influence of anisotropies in the crystalline texture as well as in the elastic constants of the austenite and the martensitic variants is also discussed. Furthermore, regularization is applied in order to receive localized but still mesh independent results for phase distributions in a finite element implementation. The entire presentation emphasizes the usage of variational methods leading to the notion of relaxed potentials. Interrelations to various other applications of these concepts will be highlighted.",
keywords = "Micromechanics, Phase transformation, Shape memory alloys, Variational calculus",
author = "Klaus Hackl and Philipp Junker and Rainer Heinen",
note = "Copyright: Copyright 2011 Elsevier B.V., All rights reserved.",
year = "2011",
doi = "10.3139/146.110527",
language = "English",
volume = "102",
pages = "643--651",
journal = "International Journal of Materials Research",
issn = "1862-5282",
publisher = "Carl Hanser Verlag GmbH & Co. KG",
number = "6",
}