Nonlinear magneto-viscoelasticity of transversally isotropic magneto-active polymers

Saxena, P. , Hossain, M. and Steinmann, P. (2014) Nonlinear magneto-viscoelasticity of transversally isotropic magneto-active polymers. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 470(2166), 20140082. (doi: 10.1098/rspa.2014.0082) (PMID:24914399) (PMCID:PMC4042725)

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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 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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Saxena, Dr Prashant and Steinmann, Professor Paul
Authors: Saxena, P., Hossain, M., and Steinmann, P.
Subjects:Q Science > QA Mathematics
T Technology > TA Engineering (General). Civil engineering (General)
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences
Publisher:The Royal Society
ISSN:1364-5021
ISSN (Online):1471-2946
Published Online:08 June 2014
Copyright Holders:Copyright © 2014 The Authors
First Published:First published in Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences 470(2166):20140082
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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