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Finite element simulation of rate-dependent magneto-active polymer response

Haldar, K.; Kiefer, B. and Menzel, A. LU (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
organization
publishing date
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
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
2017-11-12 04:25:56
@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>},
  articleno    = {104003},
  author       = {Haldar, K. and Kiefer, B. and Menzel, A.},
  issn         = {0964-1726},
  keyword      = {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},
  volume       = {25},
  year         = {2016},
}