We thank Samuel Ferraz-Leite for a careful reading of the manuscript. This work was partially supported by Deutsche Forschungsgemeinschaft through the DFG Priority Programme 1239 – Change of microstructure and shape of solid materials by external magnetic fields. A.C. was also partially supported by PAPIIT IN101410.
A Constrained Model for MSMA†
Article first published online: 25 JUN 2012
Copyright © 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Advanced Engineering Materials
Volume 14, Issue 8, pages 594–600, August 2012
How to Cite
Capella, A., Müller, S. and Otto, F. (2012), A Constrained Model for MSMA. Adv. Eng. Mater., 14: 594–600. doi: 10.1002/adem.201200095
- Issue published online: 6 AUG 2012
- Article first published online: 25 JUN 2012
- Manuscript Revised: 21 MAY 2012
- Manuscript Received: 5 MAR 2012
A mathematical description of transformation processes in magnetic shape memory alloys (MSMA) under applied stresses and external magnetic fields needs a combination of micromagnetics and continuum elasticity theory. In this note, we discuss the so-called constrained theories, i.e., models where the state described by the pair (linear strain, magnetization) is at every point of the sample constrained to assume one of only finitely many values (that reflect the material symmetries). Furthermore, we focus on large body limits, i.e., models that are formulated in terms of (local) averages of a microstructured state, as the one proposed by DeSimone and James. We argue that the effect of an interfacial energy associated with the twin boundaries survives on the level of the large body limit in form of a (local) rigidity of twins. This leads to an alternative (i.e., with respect to reference 1) large body limit. The new model has the advantage of qualitatively explaining the occurrence of a microstructure with charged magnetic walls, as observed in SPP experiments in reference 2.