Rank-One Convexification Approach for the Modeling of Magnetic Shape Memory Response
(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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/8521539
- author
- Buckmann, Karsten ; Kiefer, Björn ; Bartel, Thorsten and Menzel, Andreas LU
- organization
- publishing date
- 2015
- 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 Inc.
- 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
- 2016-04-04 11:06:17
- date last changed
- 2018-11-21 21:02:41
@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 Inc.}}, 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}}, doi = {{10.1002/pamm.201510146}}, volume = {{15}}, year = {{2015}}, }