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Rank-One Convexification Approach for the Modeling of Magnetic Shape Memory Response

Buckmann, Karsten; Kiefer, Björn; Bartel, Thorsten and Menzel, Andreas LU (2015) In PAMM - Proceedings in Applied Mathematics and Mechanics 15. p.311-312
Abstract
We present an incremental energy minimization model for magnetic shape memory alloys (MSMAs) whose derivation departs from the constrained theory of magnetoelasticity [1], but additionally accounts for elastic deformations, magnetization rotation, and dissipative mechanisms. The minimization of the proposed incremental energy yields the evolution of the internal state variables. In this sense, the presented modeling concept clearly distinguishes itself from standard phenomenological approaches to MSMA modeling [4]. The extended model is applied to simulate the response of single crystalline Ni2MnGa. It is shown to accurately capture the nonlinear, anisotropic, hysteretic, and highly stress level-dependent features of MSMA behavior, based... (More)
We present an incremental energy minimization model for magnetic shape memory alloys (MSMAs) whose derivation departs from the constrained theory of magnetoelasticity [1], but additionally accounts for elastic deformations, magnetization rotation, and dissipative mechanisms. The minimization of the proposed incremental energy yields the evolution of the internal state variables. In this sense, the presented modeling concept clearly distinguishes itself from standard phenomenological approaches to MSMA modeling [4]. The extended model is applied to simulate the response of single crystalline Ni2MnGa. It is shown to accurately capture the nonlinear, anisotropic, hysteretic, and highly stress level-dependent features of MSMA behavior, based on just a few fundamental material parameters, which is validated by comparison to experimental data. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
PAMM - Proceedings in Applied Mathematics and Mechanics
volume
15
pages
311 - 312
publisher
John Wiley & Sons
ISSN
1617-7061
DOI
10.1002/pamm.201510146
language
English
LU publication?
yes
id
48fb5027-70f1-4563-aebb-bedb3e22c9f7 (old id 8521539)
date added to LUP
2016-02-08 15:41:45
date last changed
2016-11-17 16:08:39
@article{48fb5027-70f1-4563-aebb-bedb3e22c9f7,
  abstract     = {We present an incremental energy minimization model for magnetic shape memory alloys (MSMAs) whose derivation departs from the constrained theory of magnetoelasticity [1], but additionally accounts for elastic deformations, magnetization rotation, and dissipative mechanisms. The minimization of the proposed incremental energy yields the evolution of the internal state variables. In this sense, the presented modeling concept clearly distinguishes itself from standard phenomenological approaches to MSMA modeling [4]. The extended model is applied to simulate the response of single crystalline Ni2MnGa. It is shown to accurately capture the nonlinear, anisotropic, hysteretic, and highly stress level-dependent features of MSMA behavior, based on just a few fundamental material parameters, which is validated by comparison to experimental data.},
  author       = {Buckmann, Karsten and Kiefer, Björn and Bartel, Thorsten and Menzel, Andreas},
  issn         = {1617-7061},
  language     = {eng},
  pages        = {311--312},
  publisher    = {John Wiley & Sons},
  series       = {PAMM - Proceedings in Applied Mathematics and Mechanics},
  title        = {Rank-One Convexification Approach for the Modeling of Magnetic Shape Memory Response},
  url          = {http://dx.doi.org/10.1002/pamm.201510146},
  volume       = {15},
  year         = {2015},
}