Modelling the curing process in magneto-sensitive polymers: rate-dependence and shrinkage

Hossain, M., Saxena, P. and Steinmann, P. (2015) Modelling the curing process in magneto-sensitive polymers: rate-dependence and shrinkage. International Journal of Non-Linear Mechanics, 74, pp. 108-121. (doi: 10.1016/j.ijnonlinmec.2015.04.008)

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Abstract

This paper deals with a phenomenologically motivated magneto-viscoelastic coupled finite strain framework for simulating the curing process of polymers under the application of a coupled magneto-mechanical load. Magneto-sensitive polymers are prepared by mixing micron-sized ferromagnetic particles in uncured polymers. Application of a magnetic field during the curing process causes the particles to align and form chain-like structures lending an overall anisotropy to the material. The polymer curing is a viscoelastic complex process where a transformation from fluid to solid occurs in the course of time. During curing, volume shrinkage also occurs due to the packing of polymer chains by chemical reactions. Such reactions impart a continuous change of magneto-mechanical properties that can be modelled by an appropriate constitutive relation where the temporal evolution of material parameters is considered. To model the shrinkage during curing, a magnetic-induction-dependent approach is proposed which is based on a multiplicative decomposition of the deformation gradient into a mechanical and a magnetic-induction-dependent volume shrinkage part. The proposed model obeys the relevant laws of thermodynamics. Numerical examples, based on a generalised Mooney–Rivlin energy function, are presented to demonstrate the model capacity in the case of a magneto-viscoelastically coupled load.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Saxena, Dr Prashant and Steinmann, Professor Paul
Authors: Hossain, M., Saxena, P., 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:International Journal of Non-Linear Mechanics
Publisher:Elsevier
ISSN:0020-7462
ISSN (Online):1878-5638
Published Online:22 April 2015
Copyright Holders:Copyright © 2015 Elsevier
First Published:First published in International Journal of Non-Linear Mechanics 74:108-121
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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