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Nonlinear magneto-viscoelasticity of transversally isotropic magneto-active polymers

P. Saxena, Mokarram Hossain Orcid Logo, P. Steinmann

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Volume: 470, Issue: 2166

Swansea University Author: Mokarram Hossain Orcid Logo

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DOI (Published version): 10.1098/rspa.2014.0082

Abstract

Iron-filled magnetorheological polymers, when cured in the presence of a magnetic field, result in having a transversely isotropic structure with iron particles forming chains along the direction of applied magnetic induction. In this work, we model the magneto-viscoelastic deformation (and magnetiz...

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Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
ISSN: 1364-5021 1471-2946
Published: 2014
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URI: https://cronfa.swan.ac.uk/Record/cronfa39690
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first_indexed 2018-04-30T19:46:09Z
last_indexed 2021-01-15T04:01:48Z
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spelling 2021-01-14T13:09:54.5552624 v2 39690 2018-04-30 Nonlinear magneto-viscoelasticity of transversally isotropic magneto-active polymers 140f4aa5c5ec18ec173c8542a7fddafd 0000-0002-4616-1104 Mokarram Hossain Mokarram Hossain true false 2018-04-30 GENG Iron-filled magnetorheological polymers, when cured in the presence of a magnetic field, result in having a transversely isotropic structure with iron particles forming chains along the direction of applied magnetic induction. In this work, we model the magneto-viscoelastic deformation (and magnetization) process of such polymers. Components of the deformation gradient and the applied magnetic induction in the direction of anisotropy are considered to be additional arguments of the energy density function. The existence of internal damping mechanisms is considered by performing a multiplicative decomposition of the deformation gradient and an additive decomposition of the magnetic induction into equilibrium and non-equilibrium parts. Energy density functions and evolution laws of the internal variables are proposed that agree with the laws of thermodynamics. In the end, we present solutions of some standard deformation cases to illustrate the theory. In particular, it is shown that the orientation of resultant magnetic field and principal stress directions change with time owing to viscoelastic evolution. Journal Article Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470 2166 1364-5021 1471-2946 Magneto-viscoelasticity, Nonlinear elasticity, Viscoelasticity 8 6 2014 2014-06-08 10.1098/rspa.2014.0082 http://rspa.royalsocietypublishing.org/content/470/2166/20140082 COLLEGE NANME General Engineering COLLEGE CODE GENG Swansea University 2021-01-14T13:09:54.5552624 2018-04-30T18:05:43.6542610 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - General Engineering P. Saxena 1 Mokarram Hossain 0000-0002-4616-1104 2 P. Steinmann 3
title Nonlinear magneto-viscoelasticity of transversally isotropic magneto-active polymers
spellingShingle Nonlinear magneto-viscoelasticity of transversally isotropic magneto-active polymers
Mokarram Hossain
title_short Nonlinear magneto-viscoelasticity of transversally isotropic magneto-active polymers
title_full Nonlinear magneto-viscoelasticity of transversally isotropic magneto-active polymers
title_fullStr Nonlinear magneto-viscoelasticity of transversally isotropic magneto-active polymers
title_full_unstemmed Nonlinear magneto-viscoelasticity of transversally isotropic magneto-active polymers
title_sort Nonlinear magneto-viscoelasticity of transversally isotropic magneto-active polymers
author_id_str_mv 140f4aa5c5ec18ec173c8542a7fddafd
author_id_fullname_str_mv 140f4aa5c5ec18ec173c8542a7fddafd_***_Mokarram Hossain
author Mokarram Hossain
author2 P. Saxena
Mokarram Hossain
P. Steinmann
format Journal article
container_title Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
container_volume 470
container_issue 2166
publishDate 2014
institution Swansea University
issn 1364-5021
1471-2946
doi_str_mv 10.1098/rspa.2014.0082
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - General Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - General Engineering
url http://rspa.royalsocietypublishing.org/content/470/2166/20140082
document_store_str 0
active_str 0
description Iron-filled magnetorheological polymers, when cured in the presence of a magnetic field, result in having a transversely isotropic structure with iron particles forming chains along the direction of applied magnetic induction. In this work, we model the magneto-viscoelastic deformation (and magnetization) process of such polymers. Components of the deformation gradient and the applied magnetic induction in the direction of anisotropy are considered to be additional arguments of the energy density function. The existence of internal damping mechanisms is considered by performing a multiplicative decomposition of the deformation gradient and an additive decomposition of the magnetic induction into equilibrium and non-equilibrium parts. Energy density functions and evolution laws of the internal variables are proposed that agree with the laws of thermodynamics. In the end, we present solutions of some standard deformation cases to illustrate the theory. In particular, it is shown that the orientation of resultant magnetic field and principal stress directions change with time owing to viscoelastic evolution.
published_date 2014-06-08T03:50:28Z
_version_ 1763752467286196224
score 11.037056

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