Finite element simulation of rate-dependent magneto-active polymer response
(2016) In Smart Materials and Structures 25(10).- Abstract
This contribution is concerned with the embedding of constitutive relations for magneto-active polymers (MAP) into finite element simulations. To this end, a recently suggested, calibrated, and validated material model for magneto-mechanically coupled and rate-dependent MAP response is briefly summarized in its continuous and algorithmic settings. Moreover, the strongly coupled field equations of finite deformation magneto-mechanics are reviewed. For the purpose of numerical simulation, a finite element model is then established based on the usual steps of weak form representation, discretization and consistent linearization. Two verifying inhomogeneous numerical examples are presented in which a classical 'plate with a hole' geometry... (More)
This contribution is concerned with the embedding of constitutive relations for magneto-active polymers (MAP) into finite element simulations. To this end, a recently suggested, calibrated, and validated material model for magneto-mechanically coupled and rate-dependent MAP response is briefly summarized in its continuous and algorithmic settings. Moreover, the strongly coupled field equations of finite deformation magneto-mechanics are reviewed. For the purpose of numerical simulation, a finite element model is then established based on the usual steps of weak form representation, discretization and consistent linearization. Two verifying inhomogeneous numerical examples are presented in which a classical 'plate with a hole' geometry is equipped with MAP properties and subjected to different types of time-varying mechanical and magnetic loading.
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- author
- Haldar, K. ; Kiefer, B. and Menzel, A. LU
- organization
- publishing date
- 2016-09-07
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- active and multifunctional materials, continuum magneto-mechanics, finite element simulation of coupled problems, finite viscoelasticity, magneto-mechanical coupling, magnetorheological elastomers
- in
- Smart Materials and Structures
- volume
- 25
- issue
- 10
- article number
- 104003
- publisher
- IOP Publishing
- external identifiers
-
- scopus:84989843622
- wos:000384089200003
- ISSN
- 0964-1726
- DOI
- 10.1088/0964-1726/25/10/104003
- language
- English
- LU publication?
- yes
- id
- 9fdef672-e43c-4c2f-9e5d-0f51b5b2da12
- date added to LUP
- 2016-11-08 09:34:06
- date last changed
- 2025-11-16 16:58:59
@article{9fdef672-e43c-4c2f-9e5d-0f51b5b2da12,
abstract = {{<p>This contribution is concerned with the embedding of constitutive relations for magneto-active polymers (MAP) into finite element simulations. To this end, a recently suggested, calibrated, and validated material model for magneto-mechanically coupled and rate-dependent MAP response is briefly summarized in its continuous and algorithmic settings. Moreover, the strongly coupled field equations of finite deformation magneto-mechanics are reviewed. For the purpose of numerical simulation, a finite element model is then established based on the usual steps of weak form representation, discretization and consistent linearization. Two verifying inhomogeneous numerical examples are presented in which a classical 'plate with a hole' geometry is equipped with MAP properties and subjected to different types of time-varying mechanical and magnetic loading.</p>}},
author = {{Haldar, K. and Kiefer, B. and Menzel, A.}},
issn = {{0964-1726}},
keywords = {{active and multifunctional materials; continuum magneto-mechanics; finite element simulation of coupled problems; finite viscoelasticity; magneto-mechanical coupling; magnetorheological elastomers}},
language = {{eng}},
month = {{09}},
number = {{10}},
publisher = {{IOP Publishing}},
series = {{Smart Materials and Structures}},
title = {{Finite element simulation of rate-dependent magneto-active polymer response}},
url = {{http://dx.doi.org/10.1088/0964-1726/25/10/104003}},
doi = {{10.1088/0964-1726/25/10/104003}},
volume = {{25}},
year = {{2016}},
}