Details
| Original language | English |
|---|---|
| Pages (from-to) | 643-651 |
| Number of pages | 9 |
| Journal | International Journal of Materials Research |
| Volume | 102 |
| Issue number | 6 |
| Publication status | Published - 2011 |
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
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Condensed Matter Physics
- Chemistry(all)
- Physical and Theoretical Chemistry
- Materials Science(all)
- Metals and Alloys
- Materials Science(all)
- Materials Chemistry
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: International Journal of Materials Research, Vol. 102, No. 6, 2011, p. 643-651.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Variational modeling of shape memory alloys - An overview
AU - Hackl, Klaus
AU - Junker, Philipp
AU - Heinen, Rainer
N1 - Copyright: Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2011
Y1 - 2011
N2 - 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.
AB - 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.
KW - Micromechanics
KW - Phase transformation
KW - Shape memory alloys
KW - Variational calculus
UR - http://www.scopus.com/inward/record.url?scp=79959956069&partnerID=8YFLogxK
U2 - 10.3139/146.110527
DO - 10.3139/146.110527
M3 - Article
AN - SCOPUS:79959956069
VL - 102
SP - 643
EP - 651
JO - International Journal of Materials Research
JF - International Journal of Materials Research
SN - 1862-5282
IS - 6
ER -