Abstract
We advance a three-dimensional phenomenological model for the magneto-mechanical behavior of magnetic shape memory alloys. Moving from micromagnetic considerations, we propose a thermodynamically consistent constitutive relation which is able to reproduce the magnetically-induced martensitic transformation in single crystals. Existence results for the constitutive relation problem as well as for the corresponding quasi-static evolution system are illustrated and convergence of time- and space-time-discretizations are recorded. Eventually, we present algorithmic considerations and we numerically test the model in order to assess its ability in reproducing the typical response of magnetic shape memory alloys, as well as in recovering standard shape-memory and pseudo-elastic behaviors when no magnetic field is present.
| Original language | English |
|---|---|
| Pages (from-to) | 1-11 |
| Number of pages | 11 |
| Journal | European Journal of Mechanics A - Solids |
| Volume | 52 |
| DOIs | |
| Publication status | Published - Jul 2015 |
Funding
The authors have been partially supported by the European Research Council through the Starting Independent Research Grants n. 200497 (F. Auricchio, A.-L. Bessoud, A. Reali, and U. Stefanelli) and n. 259229 (E Auricchio and A. Reali). U. Stefanelli is also supported by the JSPS-CNR joint project VarEvol, and F. Auricchio and A. Reali by the MIUR-PRIN project n. 2010BFXRHS. This support is gratefully acknowledged.
Austrian Fields of Science 2012
- 101028 Mathematical modelling
Keywords
- Magnetic shape memory alloys
- Discretization
- Numerical simulation
- NI-MN-GA
- FIELD-INDUCED STRAIN
- SOLID-PHASE TRANSFORMATIONS
- RATE-INDEPENDENT MODEL
- SOUZA-AURICCHIO MODEL
- 3-DIMENSIONAL MODEL
- MARTENSITIC PHASE
- CONSTITUTIVE MODEL
- STRESS
- BEHAVIOR