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Modeling of Single Crystal Magnetostriction Based on Numerical Energy Relaxation Techniques

Kiefer, Bjoern; Buckmann, Karsten; Bartel, Thorsten and Menzel, Andreas LU (2014) 7th Annual ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems (SMASIS) In Proceedings of the ASME 2014 Conference on Smart Materials, Adaptive Structures and Intelligent Systems 1. p.2014-7436
Abstract
This paper presents an energy relaxation-based approach for the modeling of single crystalline magnetic shape memor)) alloy response under general two-dimensional magnetomechanical loading. It relies on concepts of energy relaxation in the context of non-convex free energy landscapes whose wells define preferred states of straining and magnetization. The constrained theory of magnetoelasticity developed by DeSimone and James [1] forms the basis for the model development. The key features that characterize the extended approach are (i) dissipative effects, accounted for in an incremental variational setting, and (ii) finite magnetocrystalline anisotropy energy. In this manner, important additional response features, e.g. the hysteretic... (More)
This paper presents an energy relaxation-based approach for the modeling of single crystalline magnetic shape memor)) alloy response under general two-dimensional magnetomechanical loading. It relies on concepts of energy relaxation in the context of non-convex free energy landscapes whose wells define preferred states of straining and magnetization. The constrained theory of magnetoelasticity developed by DeSimone and James [1] forms the basis for the model development. The key features that characterize the extended approach are (i) dissipative effects, accounted for in an incremental variational setting, and (ii) finite magnetocrystalline anisotropy energy. In this manner, important additional response features, e.g. the hysteretic nature, the linear magnetization response in the prevariant reorientation regime, and the stress dependence of the maximum field induced strain, can be captured, which are prohibited by the inherent assumptions of the constrained theory. The enhanced modeling capabilities of the extended approach are demonstrated by several representative response simulations and comparison to experimental results taken from literature. These examples particularly focus on the response of single crystals under cyclic magnetic field loading at constant stress, and cyclic mechanical loading at constant magnetic field. (Less)
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publication status
published
subject
in
Proceedings of the ASME 2014 Conference on Smart Materials, Adaptive Structures and Intelligent Systems
volume
1
pages
2014 - 7436
publisher
American Society Of Mechanical Engineers (ASME)
conference name
7th Annual ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems (SMASIS)
external identifiers
  • WOS:000360948000042
  • Scopus:84918526474
ISBN
978-0-7918-4614-8
DOI
10.1115/SMASIS2014-7436
language
English
LU publication?
yes
id
d1169352-9f79-453e-bc6e-8305cbf7423a (old id 8077440)
date added to LUP
2015-10-26 12:55:11
date last changed
2017-01-01 08:04:47
@inproceedings{d1169352-9f79-453e-bc6e-8305cbf7423a,
  abstract     = {This paper presents an energy relaxation-based approach for the modeling of single crystalline magnetic shape memor)) alloy response under general two-dimensional magnetomechanical loading. It relies on concepts of energy relaxation in the context of non-convex free energy landscapes whose wells define preferred states of straining and magnetization. The constrained theory of magnetoelasticity developed by DeSimone and James [1] forms the basis for the model development. The key features that characterize the extended approach are (i) dissipative effects, accounted for in an incremental variational setting, and (ii) finite magnetocrystalline anisotropy energy. In this manner, important additional response features, e.g. the hysteretic nature, the linear magnetization response in the prevariant reorientation regime, and the stress dependence of the maximum field induced strain, can be captured, which are prohibited by the inherent assumptions of the constrained theory. The enhanced modeling capabilities of the extended approach are demonstrated by several representative response simulations and comparison to experimental results taken from literature. These examples particularly focus on the response of single crystals under cyclic magnetic field loading at constant stress, and cyclic mechanical loading at constant magnetic field.},
  author       = {Kiefer, Bjoern and Buckmann, Karsten and Bartel, Thorsten and Menzel, Andreas},
  booktitle    = {Proceedings of the ASME 2014 Conference on Smart Materials, Adaptive Structures and Intelligent Systems},
  isbn         = {978-0-7918-4614-8},
  language     = {eng},
  pages        = {2014--7436},
  publisher    = {American Society Of Mechanical Engineers (ASME)},
  title        = {Modeling of Single Crystal Magnetostriction Based on Numerical Energy Relaxation Techniques},
  url          = {http://dx.doi.org/10.1115/SMASIS2014-7436},
  volume       = {1},
  year         = {2014},
}